From 9c1dc4935e0c74ddc2d14bc586e695ad95384f5f Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 12 Nov 2024 20:50:15 +0000 Subject: [PATCH] build based on 89c7d52 --- stable | 2 +- v2 | 2 +- v2.0 | 2 +- v2.0.2/.documenter-siteinfo.json | 1 + v2.0.2/assets-compile/custom-tikz.sty | 160 +++ v2.0.2/assets-compile/generate-plots.sh | 81 ++ .../ion-channel-chmc-analysis.jl | 62 + .../assets-compile/ion-channel-chmc-tikz.tex | 0 v2.0.2/assets-compile/ion-channel-chmc.tex | 0 v2.0.2/assets-compile/ion-channel-mc-tikz.tex | 109 ++ v2.0.2/assets-compile/ion-channel-mc.pdf | Bin 0 -> 53860 bytes v2.0.2/assets-compile/ion-channel-mc.tex | 45 + v2.0.2/assets-compile/logo.pdf | Bin 0 -> 2036 bytes v2.0.2/assets-compile/logo.tex | 94 ++ .../toy-network-1-achmc-input.tex | 164 +++ v2.0.2/assets-compile/toy-network-1-achmc.pdf | Bin 0 -> 51630 bytes v2.0.2/assets-compile/toy-network-1-achmc.tex | 33 + .../toy-network-1-chmc-analysis.jl | 34 + .../toy-network-1-chmc-tikz.tex | 74 ++ 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a/v2.0.2/.documenter-siteinfo.json b/v2.0.2/.documenter-siteinfo.json new file mode 100644 index 0000000..95f2034 --- /dev/null +++ b/v2.0.2/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.6","generation_timestamp":"2024-11-12T20:50:11","documenter_version":"1.7.0"}} \ No newline at end of file diff --git a/v2.0.2/assets-compile/custom-tikz.sty b/v2.0.2/assets-compile/custom-tikz.sty new file mode 100755 index 0000000..2fec3d7 --- /dev/null +++ b/v2.0.2/assets-compile/custom-tikz.sty @@ -0,0 +1,160 @@ +% Tikz libraries +\usepackage{tikz} +\usetikzlibrary{% + patterns, plotmarks, backgrounds, shapes, arrows, calc, trees, positioning, + chains, shapes.geometric, decorations.pathreplacing, + decorations.pathmorphing, shapes.arrows, decorations.markings, quotes, + shapes.geometric, arrows.meta, spy, fit, matrix, math, bending, graphs, + graphs.standard, through +} + +%% Define main node types +% Vertical split circle with either sides filled with different colours +\makeatletter +\tikzset{circle split part fill/.style args={#1,#2}{% + alias=tmp@name,% + postaction={% + insert path={% + \pgfextra{% + \pgfpointdiff{\pgfpointanchor{\pgf@node@name}{center}} + {\pgfpointanchor{\pgf@node@name}{east}} + \pgfmathsetmacro\insiderad{\pgf@x} + \fill[#1] (\pgf@node@name.base) + ([xshift=-\pgflinewidth]\pgf@node@name.east) + arc + (0:180:\insiderad-\pgflinewidth)--cycle; + \fill[#2] (\pgf@node@name.base) + ([xshift=\pgflinewidth]\pgf@node@name.west) + arc + (180:360:\insiderad-\pgflinewidth)--cycle; + } + } + } + } +} +\makeatother + +\tikzstyle{gem_node} = [% black gem node for the input metabolic network + circle, + draw=black, + fill=black, + minimum height=0.15cm +] +\tikzstyle{gem_node_ph} = [% placeholder gem node for input metabolic network + circle, + draw=none, + fill=none, + minimum height=0.15cm +] +\tikzstyle{gem_edge} = [% edge style linking gem nodes + -, + line width=2pt +] +\tikzstyle{carbonDraw} = [% edge style linking molecules + -, + draw, + line width=1.75pt +] +\tikzstyle{ball} = [% + circle, + draw=black, + minimum height=0.70cm, + line width=1.0pt, + align=center, + fill=cgrey, + fill opacity=1.0, + text opacity=1.0, + text centered, + text=black, + inner sep=0.5pt, + font=\LARGE +] +\tikzstyle{carbon} = [% individual carbon atom node + circle, + draw=black, + fill=white, + inner sep=3.0pt, + line width=0.75pt +] +\tikzstyle{carbonBlank} = [% carbon atom node for white background + circle, + draw=white, + fill=white, + inner sep=3.0pt, + line width=0.75pt +] +\tikzstyle{carbonGrey} = [% greyed out carbon atom node + circle, + draw, + draw opacity=0.25, + fill opacity=0.25, + inner sep=3.0pt, + line width=0.75pt +] +\tikzstyle{ring6} = [% + regular polygon, + regular polygon sides=6, + draw, + inner sep=0.5cm, + line width=1.75pt +] +\tikzstyle{ring5} = [% + regular polygon, + regular polygon sides=5, + draw, + inner sep=0.5cm, + line width=1.75pt +] +\tikzstyle{reactionArrow} = [% reaction arrow style + -stealth, + line width=3.0pt, + draw=black +] +\tikzstyle{chmcArrow} = [% reaction arrow style + -stealth, + line width=6.0pt, + draw=black +] +\tikzstyle{chmcArrow2} = [% reaction arrow style + -stealth, + line width=12.0pt, + draw=black +] +\tikzstyle{subpanelArrow} = [% reaction arrow style + -stealth, + line width=9.0pt, + draw=black +] +\tikzstyle{labelFont} = [% standard label font size + font=\LARGE +] +\tikzset{% + labelSankey/.style={% + fill=white, + fill opacity=0.0, + text opacity=1, + inner sep=3pt, + text=black!50!black!50!black, + inner xsep=3pt, + font=\Large, + align=center, + }, +} + +\tikzmath{% + \sep=0.5pt; + \innerspace=0.25pt; + \outerspace=1.0pt; + \rxnspace=5pt; + \fluxspace=0.5pt; + \multispace = 0.5pt; +} + +\tikzset{ + double arrow/.style args={#1 colored by #2 and #3}{ + -stealth,line width=#1,#2, % first arrow + postaction={draw,-stealth,#3,line width=(#1)/2.5, + shorten <=(#1)/3,shorten >=2*(#1)/3}, % second arrow + } +} +%\draw[double arrow=1pt colored by blue and white] diff --git a/v2.0.2/assets-compile/generate-plots.sh b/v2.0.2/assets-compile/generate-plots.sh new file mode 100755 index 0000000..7d96c90 --- /dev/null +++ b/v2.0.2/assets-compile/generate-plots.sh @@ -0,0 +1,81 @@ +#!/usr/bin/env bash + +## Tutorial: CHMC (metabolic networks) +# Plot toy network and CHMC as PDF and PNG +pdflatex -shell-escape toy-network-1.tex +pdflatex -shell-escape toy-network-1-chmc.tex + +# Plot toy network CHMC via MarkovWeightedEFMs +julia toy-network-1-chmc-analysis.jl # generates toy-network-1-chmc-makie.png + +# Crop PNGs and set background solid white +magick toy-network-1.png -gravity East -chop 672x0 toy-network-1.png +magick toy-network-1.png -gravity West -chop 632x0 -background white -alpha remove -alpha off toy-network-1.png +magick toy-network-1-chmc.png -background white -alpha remove -alpha off toy-network-1-chmc.png +magick toy-network-1-chmc-makie.png -gravity East -chop 250x0 toy-network-1-chmc-makie.png +magick toy-network-1-chmc-makie.png -gravity West -chop 250x0 -background white -alpha remove -alpha off toy-network-1-chmc-makie.png + +# Remove logs +rm toy-network-1.aux toy-network-1.log +rm toy-network-1-chmc.aux toy-network-1-chmc.log + +# Move PNGs to assets +mv toy-network-1.png ../assets/ +mv toy-network-1-chmc.png ../assets/ +mv toy-network-1-chmc-makie.png ../assets/ + +## Tutorial: CHMC (ion channels) +# Plot Markov state model as PDF and PNG +pdflatex -shell-escape ion-channel-mc.tex + +# Plot toy network CHMC via MarkovWeightedEFMs +julia ion-channel-chmc-analysis.jl # generates ion-channel-chmc-makie.png + +# Set background solid white +magick ion-channel-mc.png -background white -alpha remove -alpha off ion-channel-mc.png + +# Remove logs +rm ion-channel-mc.aux ion-channel-mc.log + +# Move PNGs to assets +mv ion-channel-mc.png ../assets/ +mv ion-channel-chmc-makie.png ../assets/ + +## Tutorial ACHMC (one-carbon) +# Plot toy network as PDF and PNG +pdflatex -shell-escape toy-network-2-achmc.tex + +# Set background solid white +magick toy-network-2-achmc.png -background white -alpha remove -alpha off toy-network-2-achmc.png + +# Remove logs +rm toy-network-2-achmc.aux toy-network-2-achmc.log + +# Move PNGs to assets +mv toy-network-2-achmc.png ../assets/ + +## Tutorial: ACHMC (glucose) +# Plot network as PDF and PNG +pdflatex -shell-escape toy-network-1-achmc.tex + +# Set background solid white +magick toy-network-1-achmc.png -background white -alpha remove -alpha off toy-network-1-achmc.png + +# Remove logs +rm toy-network-1-achmc.aux toy-network-1-achmc.log + +# Move PNGs to assets +mv toy-network-1-achmc.png ../assets/ + +## Logo +pdflatex -shell-escape logo.tex + +# Remove logs +rm logo.aux logo.log + +# Convert to SVG +inkscape --export-type=svg logo.pdf + +# Move logo to assets +mv logo.svg ../assets/ + diff --git a/v2.0.2/assets-compile/ion-channel-chmc-analysis.jl b/v2.0.2/assets-compile/ion-channel-chmc-analysis.jl new file mode 100644 index 0000000..75f8c4c --- /dev/null +++ b/v2.0.2/assets-compile/ion-channel-chmc-analysis.jl @@ -0,0 +1,62 @@ +using MarkovWeightedEFMs +using CairoMakie + +# Parameters +c = 0.1 # Ca2+ (uM) +I = 0.1 # IP3 (uM) +a1 = 50 +a2 = 0.035 +a4 = 3.5 +a5 = 65 +a6 = 25 +a7 = 10 +a8 = 0.035 +a9 = 0.15 +a10 = 1.25 +a11 = 110 +b1 = 2.5 +b2 = 1.25 +b3 = 0.25 +b4 = 12.5 +b5 = 10 +b7 = 0.25 +b9 = 0.2 +b10 = 2.5 +b11 = 20 +K1 = b1 / a1 +K2 = b2 / a2 +K4 = b4 / a4 +K5 = b5 / a5 +K7 = b7 / a7 +K9 = b9 / a9 +K10 = b10 / a10 +a3 = (b3 * K4) / (K1 * K2) +b6 = (a6 * K5 * K7) / K1 +b8 = (a8 * K2 * K10) / K9 + +# Markov transition rate matrix +Q = [ + 0 c*a6 0 I*a7 0 0 0 0 0 0 + b6 0 c*a4 0 I*a1 0 0 0 0 0 + 0 b4 0 0 0 I*a3 0 0 0 0 + b7 0 0 0 c*a5 0 a9 0 0 0 + 0 b1 0 b5 0 c*a2 0 a9 0 a11 + 0 0 b3 0 b2 0 0 0 a10 0 + 0 0 0 b9 0 0 0 c*a5 0 0 + 0 0 0 0 b9 0 b5 0 c*a8 0 + 0 0 0 0 0 b10 0 b8 0 0 + 0 0 0 0 b11 0 0 0 0 0 +]; + +# Markov transition probability matrix +T = Q ./ sum(Q, dims=2) + +res = steady_state_efm_distribution(T); + +# Static backend for plotting +CairoMakie.activate!(type = "png") + +# Plot and save +fig = plot_chmc(T, 1) +save("ion-channel-chmc-makie.png", fig) + diff --git a/v2.0.2/assets-compile/ion-channel-chmc-tikz.tex b/v2.0.2/assets-compile/ion-channel-chmc-tikz.tex new file mode 100644 index 0000000..e69de29 diff --git a/v2.0.2/assets-compile/ion-channel-chmc.tex b/v2.0.2/assets-compile/ion-channel-chmc.tex new file mode 100644 index 0000000..e69de29 diff --git a/v2.0.2/assets-compile/ion-channel-mc-tikz.tex b/v2.0.2/assets-compile/ion-channel-mc-tikz.tex new file mode 100644 index 0000000..d786202 --- /dev/null +++ b/v2.0.2/assets-compile/ion-channel-mc-tikz.tex @@ -0,0 +1,109 @@ +\tikzset{% + dexteritas/.cd, + shifted path label/.style={pos=0.5,draw=none,rectangle,auto,sloped} +} +\tikzset{% + labelled shifted path/.style args={from #1 to #2 by #3 label #4 #5}{% + insert path={% + let \p1=($(#1.east)-(#1.center)$), + \p2=($(#2.east)-(#2.center)$),\p3=($(#1.center)-(#2.center)$), + \n1={veclen(\x1,\y1)},\n2={veclen(\x2,\y2)},\n3={atan2(\y3,\x3)} in + (#1.{\n3+180+asin(#3/\n1)}) to node[dexteritas/shifted path label,#4]{#5} + (#2.{\n3-asin(#3/\n2)}) + } + } +} +\let\oldto\to +\renewcommand\to[1][1.4em]{% + \tikz[% + baseline=-0.5ex, shorten <=-0.5pt, shorten >=6pt + ] \draw[-latex,solid] (0,0) -- (#1,0); +} +\begin{tikzpicture}[% + >=latex, + decoration={% + markings, + mark=at position 1.0 with {\arrow{>}} + }, + every node/.style={% + %font=\sffamily\footnotesize\itshape, + font=\tiny, + text=black, + text centered, + align=center + }, + frame/.style={draw=black,inner sep=2pt} +] + + % Nodes + \node[lnode] (X1) {$X_{1}^{(000)}$}; + \node[% + lnode,right=2.0cm of X1 + ] (X2) {$X_{2}^{(010)}$}; + \node[% + lnode,right=2.0cm of X2 + ] (X3) {$X_{3}^{(011)}$}; + \node[lnode,draw=none,fill=none,right=2.0cm of X3] (P1) {\footnotesize \phantom{$X_{0}^{(000)}$}}; + \node[lnode,draw=none,fill=none,above=2.0cm of P1] (P2) {\footnotesize \phantom{$X_{0}^{(000)}$}}; + \node[lnode,above=2.0cm of X1] (X4) {$\footnotesize X_{4}^{(100)}$}; + \node[lnode,above=2.0cm of X2] (X5) {\footnotesize $X_{5}^{(110)}$}; + \node[lnode,above=2.0cm of X3] (X6) {\footnotesize $X_{6}^{(111)}$}; + \node[lnode, yshift=-1.0cm] (X7) at ($(X4)!0.5!(X5)$) {\footnotesize $X_{7}^{(100)}$}; + \node[lnode, yshift=-1.0cm] (X8) at ($(X5)!0.5!(X6)$) {\footnotesize $X_{8}^{(110)}$}; + \node[lnode, yshift=-1.0cm] (X9) at ($(X6)!0.5!(P2)$) {\footnotesize $X_{9}^{(111)}$}; + \node[lnode,above=0.5cm of X5] (X10) {\footnotesize $X_{10}^{(110)}$}; + + % Edges + \draw[-] (X1) to node [] {} (X2); + \draw[-] (X2) to node [] {} (X3); + \draw[-] (X1) to node [] {} (X4); + \draw[-] (X2) to node [] {} (X5); + \draw[-] (X3) to node [] {} (X6); + \draw[-] (X4) to node [] {} (X5); + \draw[-] (X5) to node [] {} (X6); + \draw[-] (X5) to node [] {} (X8); + \draw[-] (X4) to node [] {} (X7); + \draw[-] (X7) to node [] {} (X8); + \draw[-] (X8) to node [] {} (X9); + \draw[-] (X6) to node [] {} (X9); + \draw[-] (X5) to node [] {} (X10); + + % Arrows + \draw[-latex, labelled shifted path=from X1 to X2 by 3pt label above $ca_6$, shorten >=0.6cm,shorten <=0.6cm]; + \draw[-latex, labelled shifted path=from X2 to X1 by 3pt label below $b_6$, shorten >=0.6cm,shorten <=0.6cm]; + \draw[-latex, labelled shifted path=from X2 to X3 by 3pt label above $ca_4$, shorten >=0.6cm,shorten <=0.6cm]; + \draw[-latex, labelled shifted path=from X3 to X2 by 3pt label below $b_4$, shorten >=0.6cm,shorten <=0.6cm]; + \draw[-latex, labelled shifted path=from X4 to X5 by 3pt label above $ca_5$, shorten >=0.6cm,shorten <=0.6cm]; + \draw[-latex, labelled shifted path=from X5 to X4 by 3pt label below $b_5$, shorten >=0.6cm,shorten <=0.6cm]; + \draw[-latex, labelled shifted path=from X5 to X6 by 3pt label above $ca_2$, shorten >=0.6cm,shorten <=0.6cm]; + \draw[-latex, labelled shifted path=from X6 to X5 by 3pt label 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Define node types +\tikzstyle{lnode} = [% + circle, + draw=black, + minimum height=0.65cm, + align=center, + fill=white, + text centered, + inner sep=-0.5pt, + font=\tiny +]% + +\begin{document} + \begin{figure} + \centering + \scalebox{0.75}{\input{ion-channel-mc-tikz.tex}} + \end{figure} +\end{document} + diff --git a/v2.0.2/assets-compile/logo.pdf b/v2.0.2/assets-compile/logo.pdf new file mode 100644 index 0000000000000000000000000000000000000000..319d85272f262ebcf4eccca979a5cc03e4d49abc GIT binary patch literal 2036 zcma)-c~Dc=9>+z%4l#g$NG;nX76OvxW@i%%BoQQG*Mzc2Ab|iOfp7_{QqYGWi-N3* z8(1TPC8)HxfQ*2VvIznrJ{$UE=b>1jmZkNDmcHps-;D3h`Q!Y~`JMCop6|KyIp$te zIvR%|!OWiyc8tKt00@XeqhJmWFf4;7jDYw64kS>3-#-|Z9w~r$VgO4Qa3CI)7bfEJ zV2+Nkcu36S#K4k9=h^NeBMQ7_jWw<9b(uPwFmE1FEk{T-qpGKO@v$pwW~2ev=uX*L zD8mTe{U*=SG0W5xv90H<)8dSZqRD>cz-tCUn10+4rEk zuY;4iSBH-uBpc*eaC31_CbwKY{N;m;p6Ur7m(iSo-PIBMmzI_zne843`>w*~t7)u3 z81tvvmxen_{#{SH{(8tW#?bUM`+{ABqAdGWvt||ZCgh-gWXTcnog!2J$s8jlw(T>W 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includegraphics and colour support +\usepackage{graphicx} +\usepackage{xcolor} + +\newdimen\nodeSize +\nodeSize=4mm +\newdimen\nodeDist +\nodeDist=6mm + +\makeatletter +\tikzset{ + position/.style args={#1 degrees from #2}{ + at=(#2.#1), anchor=#1+180, shift=(#1:\tikz@node@distance) + } +} +\makeatother + +\tikzset{ +dot/.style = {% + circle, minimum size=#1, + inner sep=0pt, outer sep=0pt}, + dot/.default = 6pt % size of the circle diameter +} + +\definecolor{jpurple}{HTML}{9558B2} +\definecolor{jgreen}{HTML}{389826} +\definecolor{jred}{HTML}{CB3C33} + +\begin{document} + \begin{tikzpicture}[% + every edge/.style = {draw, -Latex, line width=1.0mm} + ] + % Initialize starting node + \node[] (start) { }; + + % Define the Julia dot coordinates + \path (start) ++(+90:16mm) node[] (up) { }; + \path (start) ++(-30:16mm) node[] (right) { }; + \path (start) ++(-150:16mm) node[] (left) { }; + + % Define the inner "particle" dot coordinates + \path (start) ++(+90:20mm) node[] (up2) { }; + \path (start) ++(-30:20mm) node[] (right2) { }; + \path (start) ++(-150:20mm) node[] (left2) { }; + + % Julia dots + \node[dot=24mm,fill=jgreen] at (up.center) (C1) {}; + \node[dot=24mm,fill=jpurple] at (right.center) (C2) {}; + \node[dot=24mm,fill=jred] at (left.center) (C3) {}; + + % Black circle around Julia dots with cycling arrows + \node[dot=40.0mm,fill=none,draw,line width=0.0mm] at (start.center) (C4) {}; + \draw (C4.176) edge[bend left=24] (C4.127); + \draw (C4.56) edge[bend left=24] (C4.7); + \draw (C4.296) edge[bend left=24] (C4.247); + + % Diagnostic lines (for modifying logo) + %\draw (C4.center) -- (C4.176); + %\draw (C4.center) -- (C4.124); + %\draw (C4.center) -- (C4.150); + + %\draw (C4.center) -- (C4.56); + %\draw (C4.center) -- (C4.4); + %\draw (C4.center) -- (C4.30); + + %\draw (C4.center) -- (C4.296); + %\draw (C4.center) -- (C4.244); + %\draw (C4.center) -- (C4.270); + + % Julia dots (to cover cycling arrows) + \node[dot=24mm,fill=jgreen] at (up.center) (C1) {}; + \node[dot=24mm,fill=jpurple] at (right.center) (C2) {}; + \node[dot=24mm,fill=jred] at (left.center) (C3) {}; + + % Inner "particle" dots + \node[dot=5mm,fill=black] at (up2.center) () {}; + \node[dot=5mm,fill=black] at (right2.center) () {}; + \node[dot=5mm,fill=black] at (left2.center) () {}; + + \end{tikzpicture} +\end{document} + diff --git a/v2.0.2/assets-compile/toy-network-1-achmc-input.tex b/v2.0.2/assets-compile/toy-network-1-achmc-input.tex new file mode 100755 index 0000000..a193199 --- /dev/null +++ b/v2.0.2/assets-compile/toy-network-1-achmc-input.tex @@ -0,0 +1,164 @@ +% Glucose +\node[% + ring6, + xshift=+3.0cm, + yshift=+7.0cm % 8cm before +] (glucose) {}; +\node[above=0.5cm of glucose.corner 2,carbon,fill=cblue,inner sep=4.0pt] (glucose_c6) {}; +\draw[carbonDraw] (glucose.corner 2) to (glucose_c6); +\draw[fill=white] (glucose.corner 2) node[carbon,fill=black] () {}; +\draw[fill=white] (glucose.corner 3) node[carbon,fill=black] () {}; +\draw[fill=white] (glucose.corner 4) node[carbon,fill=black] () {}; +\draw[fill=white] (glucose.corner 5) node[carbon,fill=black] () {}; +\draw[fill=white] (glucose.corner 6) node[carbon,fill=black] () {}; +\node[fit=(glucose) (glucose_c6), draw=none,inner sep=5pt] (glucose_box) {}; +\node[labelFont,cblue] () at (glucose.center) {Glc}; + +% Glucose 6-phosphate +\node[% + ring6, + right=5.0cm of glucose +] (g6p) {}; +\node[above=0.5cm of g6p.corner 2,carbon,fill=cblue,inner sep=4.0pt] (g6p_c6) {}; + %line width=1.75pt +\draw[carbonDraw] (g6p.corner 2) to (g6p_c6); +\draw[fill=white] (g6p.corner 2) node[carbon,fill=black] () {}; +\draw[fill=white] (g6p.corner 3) node[carbon,fill=black] () {}; +\draw[fill=white] (g6p.corner 4) node[carbon,fill=black] () {}; +\draw[fill=white] (g6p.corner 5) node[carbon,fill=black] () {}; +\draw[fill=white] (g6p.corner 6) node[carbon,fill=black] () {}; +\node[fit=(g6p) (g6p_c6), draw=none,inner sep=5pt] (g6p_box) {}; +\node[labelFont,cblue] () at (g6p.center) {G6P}; + +% Fructose 6-phosphate +\node[% + ring5, + right=5.0cm of g6p +] (f6p) {}; +\node[above=0.5cm of f6p.corner 2,carbon,fill=cblue,inner sep=4.0pt] (f6p_c2) {}; +\draw[carbonDraw] (f6p.corner 2) to (f6p_c2); +\node[above=0.5cm of f6p.corner 5,carbon,fill=black] (f6p_c5) {}; +\draw[carbonDraw] (f6p.corner 5) to (f6p_c5); +\draw[fill=white] (f6p.corner 2) node[carbon,fill=black] () {}; +\draw[fill=white] (f6p.corner 3) node[carbon,fill=black] () {}; +\draw[fill=white] (f6p.corner 4) node[carbon,fill=black] () {}; +\draw[fill=white] (f6p.corner 5) node[carbon,fill=black] () {}; +\node[above=0.4cm of f6p_c2,font=\Large] (f6p_p1) {P\textsubscript{i}}; +\draw[carbonDraw] (f6p_c2) to (f6p_p1); +\node[fit=(f6p) (f6p_c2) (f6p_c5) (f6p_p1), draw=none,inner sep=5pt] (f6p_box) {}; +\node[labelFont,cblue] () at (f6p.center) {F6P}; + +% Fructose 1,6-biphosphate +\node[% + ring5, + right=5.0cm of f6p +] (fdp) {}; +\node[above=0.5cm of fdp.corner 2,carbon,fill=cblue,inner sep=4.0pt] (fdp_c2) {}; +\draw[carbonDraw] (fdp.corner 2) to (fdp_c2); +\node[above=0.5cm of fdp.corner 5,circle,carbon,fill=black] (fdp_c5) {}; +\draw[carbonDraw] (fdp.corner 5) to (fdp_c5); +\draw[fill=white] (fdp.corner 2) node[carbon,fill=black] () {}; +\draw[fill=white] (fdp.corner 3) node[carbon,fill=black] () {}; +\draw[fill=white] (fdp.corner 4) node[carbon,fill=black] () {}; +\draw[fill=white] (fdp.corner 5) node[carbon,fill=black] () {}; +\node[above=0.4cm of fdp_c2,font=\Large] (fdp_p1) {P\textsubscript{i}}; +\draw[carbonDraw] (fdp_c2) to (fdp_p1); +\node[above=0.4cm of fdp_c5,font=\Large] (fdp_p2) {P\textsubscript{i}}; +\draw[carbonDraw] (fdp_c5) to (fdp_p2); +\node[fit=(fdp) (fdp_c2) (fdp_c5) (fdp_p1) (fdp_p2), draw=none,inner sep=5pt] (fdp_box) {}; +\node[labelFont,cblue] () at (fdp.center) {FDP}; + +% Dihydroxyacetone phosphate +\node[carbon, right=5.0cm of fdp.east, yshift=-1.0cm,fill=cblue,inner sep=4.0pt] (dhap_1) {}; +\node[carbon, right=5.0cm of fdp.east, yshift=-1.0cm,fill=none,draw=none] (dhap_1) {}; +\node[carbon, right=0.25cm of dhap_1,fill=black] (dhap_2) {}; +\node[carbon, right=0.25cm of dhap_2,fill=black] (dhap_3) {}; +\node[right=0.4cm of dhap_3,font=\Large] (dhap_p) {P\textsubscript{i}}; +\draw[carbonDraw] ([xshift=2.0pt]dhap_1.east) to (dhap_2); +\draw[carbonDraw] (dhap_2) to (dhap_3); +\draw[carbonDraw] (dhap_3) to (dhap_p); +\node[fit=(dhap_1) (dhap_2) (dhap_3), draw=none,inner sep=5pt] (dhap_box) {}; +\node[below=0.25cm of dhap_2,labelFont,cblue] () {DHAP}; + +% Glycerol 3-phosphate +\node[carbon, right=5.0cm of fdp.east, yshift=+1.0cm,fill=black] (g3p_1) {}; +\node[carbon, right=0.25cm of g3p_1,fill=black] (g3p_2) {}; +\node[carbon, right=0.25cm of g3p_2,fill=black] (g3p_3) {}; +\node[right=0.4cm of g3p_3,font=\Large] (g3p_p) {P\textsubscript{i}}; +\draw[carbonDraw] (g3p_1) to (g3p_2); +\draw[carbonDraw] (g3p_2) to (g3p_3); +\draw[carbonDraw] (g3p_1) to (g3p_p); +\node[fit=(g3p_1) (g3p_2) (g3p_3), draw=none,inner sep=5pt] (g3p_box) {}; +\node[above=0.25cm of g3p_2,labelFont] () {G3P}; + +% 6-Phosphonoglucono-D-lactone +\node[% + ring6, + below=2.5cm of g6p +] (pgl) {}; +\node[above=0.5cm of pgl.corner 2,carbon,fill=black] (pgl_c6) {}; +\draw[carbonDraw] (pgl.corner 2) to (pgl_c6); +\draw[fill=white] (pgl.corner 2) node[carbon,fill=black] () {}; +\draw[fill=white] (pgl.corner 3) node[carbon,fill=black] () {}; +\draw[fill=white] (pgl.corner 4) node[carbon,fill=black] () {}; +\draw[fill=white] (pgl.corner 5) node[carbon,fill=black] () {}; +\draw[fill=white] (pgl.corner 6) node[carbon,fill=black] () {}; +\node[fit=(pgl) (pgl_c6), draw=none,inner sep=5pt] (pgl_box) {}; +\node[labelFont] () at (pgl.center) {6PG}; + +% Fructose 6-phosphate (silent) +\node[% + ring5, + draw=none, fill=white, + right=5.0cm of pgl +] (Sf6p) {}; +\node[above=0.5cm of Sf6p.corner 2,carbon,fill=white,draw=none] (Sf6p_c2) {}; +\node[above=0.5cm of Sf6p.corner 5,carbon,fill=white,draw=none] (Sf6p_c5) {}; +\node[above=0.4cm of Sf6p_c2,font=\Large] (Sf6p_p1) {}; +\node[fit=(Sf6p) (Sf6p_c2) (Sf6p_c5) (Sf6p_p1), draw=none,inner sep=5pt] (Sf6p_box) {}; + +% Reaction arrows +\draw[chmcArrow,cblue] ([xshift=-5.0cm]glucose.west) to node[midway,below,labelFont,xshift=0pt,white] {$v_r$} ([xshift=-0.75cm]glucose.west); + +\path[-stealth,black, line width=6pt] ([xshift=+1.0cm,yshift=1.0cm]glucose.east) edge[bend right=60,looseness=1.25] ([xshift=-1.0cm,yshift=1.0cm]g6p.west); +\draw[chmcArrow,cblue] ([xshift=+0.75cm]glucose.east) to node[midway,below,labelFont,xshift=0pt,white] {$v_1$} ([xshift=-0.75cm]g6p.west); + +\node[labelFont,right=0.50cm of glucose.east,yshift=1.4cm] (atp1) {ATP}; +\node[labelFont,left=0.50cm of g6p.west,yshift=1.4cm] (adp1) {ADP}; + +\draw[chmcArrow,black] ([xshift=-0.1cm,yshift=+0.5cm]atp1.north west) to node[midway,below,labelFont,xshift=0pt,white] {} ([xshift=-0.5cm]atp1.north); +\draw[chmcArrow,black] ([xshift=+0.5cm]adp1.north) to node[midway,below,labelFont,xshift=0pt,white] {} ([xshift=+0.1cm,yshift=+0.5cm]adp1.north east); + +\draw[chmcArrow] ([yshift=-0.4cm]g6p.south) to node[midway,left,labelFont,yshift=5pt,white] {$v_2$} ([yshift=-0.2cm]pgl_box.north); +\draw[chmcArrow] ([xshift=+0.75cm]pgl.east) to node[midway,below,labelFont,xshift=0pt,white] {$v_3$} ([xshift=-0.75cm]Sf6p.west); + +\draw[chmcArrow,cblue] ([xshift=+0.75cm]g6p.east) to node[midway,below,labelFont,xshift=-5pt,white] {$v_4$} ([xshift=-0.75cm]f6p.west); + +\path[-stealth,black, line width=3pt] ([xshift=+1.0cm,yshift=1.05cm]f6p.east) edge[bend right=60,looseness=1.25] ([xshift=-1.0cm,yshift=1.05cm]fdp.west); +\draw[reactionArrow,-{Stealth[left]},cblue] ([xshift=+0.75cm,yshift=+0.10cm]f6p.east) to node[midway,above,labelFont,yshift=+5pt,white] {$v_5$} ([xshift=-0.75cm,yshift=+0.10cm]fdp.west); +\draw[reactionArrow,-{Stealth[left]}] ([xshift=-0.75cm,yshift=-0.10cm]fdp.west) to node[midway,below,labelFont,yshift=-5pt,white] {$v_6$} ([xshift=+0.75cm,yshift=-0.10cm]f6p.east); +\node[labelFont,right=0.50cm of f6p.east,yshift=1.4cm] (atp2) {ATP}; +\node[labelFont,left=0.50cm of fdp.west,yshift=1.4cm] (adp2) {ADP}; + +\draw[chmcArrow,black,line width=3pt] ([xshift=-0.10cm,yshift=+0.5cm]atp2.north west) to node[midway,below,labelFont,xshift=0pt,white] {} ([xshift=-0.5cm]atp2.north); +\draw[chmcArrow,black,line width=3pt] ([xshift=+0.5cm]adp2.north) to node[midway,below,labelFont,xshift=0pt,white] {} ([xshift=+0.1cm,yshift=+0.5cm]adp2.north east); + +\path[-stealth,black, line width=3pt] ([xshift=-1.0cm,yshift=-1.05cm]fdp.west) edge[bend right=60,looseness=1.25] ([xshift=+1.0cm,yshift=-1.05cm]f6p.east); +\node[labelFont,right=0.50cm of f6p.east,yshift=-1.4cm] (pi) {P\textsubscript{i}}; +\node[labelFont,left=0.50cm of fdp.west,yshift=-1.4cm] (h2o) {H\textsubscript{2}O}; + +\draw[chmcArrow,black,line width=3pt] ([xshift=-0.2cm,yshift=-0.0cm]pi.south) to node[midway,below,labelFont,xshift=0pt,white] {} ([xshift=-0.1cm,yshift=-0.5cm]pi.south west); +\draw[chmcArrow,black,line width=3pt] ([xshift=+0.1cm,yshift=-0.5cm]h2o.south east) to node[midway,below,labelFont,xshift=0pt,white] {} ([xshift=+0.5cm,yshift=+0.0cm]h2o.south); + +\draw[line width=6pt,cblue] ([xshift=+0.75cm]fdp.east) to node[midway,below,labelFont,xshift=0pt,white] {$v_7$} ([xshift=+2.5cm]fdp.east); +\draw[chmcArrow,black] ([xshift=+2.5cm]fdp.east) to ([xshift=-0.75cm]g3p_1.west); +\draw[line width=6pt,cblue] ([xshift=+0.75cm]fdp.east) to node[midway,below,labelFont,xshift=0pt,white] {$v_7$} ([xshift=+2.55cm]fdp.east); +\draw[chmcArrow,cblue] ([xshift=+2.5cm]fdp.east) to ([xshift=-0.75cm]dhap_1.west); + +\draw[reactionArrow,-{Stealth[left]}] ([xshift=+0.10cm]g3p_2.south) to node[midway,right,labelFont,xshift=+0.1cm,white] {$v_9$} ([xshift=+0.10cm]dhap_2.north); +\draw[reactionArrow,-{Stealth[left]}] ([xshift=-0.10cm]dhap_2.north) to node[midway,left,labelFont,xshift=-0.1cm,white] {$v_8$} ([xshift=-0.10cm]g3p_2.south); + +\draw[chmcArrow] ([xshift=+0.5cm]g3p_p.east) to 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zx1)#EPh0~|FIpQ-?(p5^N#|`HS?RMUkk=vS*VWBIY@AN`aSwc~!`%VXrv_-71b<)N zbwr9ek_O}ixLCD!8gM-ZA3PT7mT?F=<3_Gpx7y%2oxC|u7fs;fHUmi2x9+4z?0Y>+ z->0nG3lDEdyIon_v^H2Bax3i`tvnUC(5uWeTT375KQQ~jF)#kj`J HcjE#8H^rxr literal 0 HcmV?d00001 diff --git a/v2.0.2/assets-compile/toy-network-1-achmc.tex b/v2.0.2/assets-compile/toy-network-1-achmc.tex new file mode 100755 index 0000000..87b4e55 --- /dev/null +++ b/v2.0.2/assets-compile/toy-network-1-achmc.tex @@ -0,0 +1,33 @@ +\documentclass[tikz,convert={density=500,outext=.png}]{standalone} + +% Packages +\usepackage{amsmath,amsthm,bm} % math libraries +\usepackage{sankey} % sankey/flow diagram support +\usepackage{graphicx,xcolor} % general image and colour support +\usepackage{caption,subcaption} % caption/subcaptions + +% Load custom Tikz code +\usepackage{custom-tikz} + +% Colour definitions +\definecolor{cred}{HTML}{ED1C24} +\definecolor{cgrey}{HTML}{7F7F7F} +\definecolor{cblue}{HTML}{00A2E8} +\definecolor{cgreen}{HTML}{22B14C} +\definecolor{cyellow}{HTML}{FFF200} +\definecolor{corange}{HTML}{EA7904} +\definecolor{cpurple}{HTML}{9100FC} +\definecolor{efm1}{HTML}{017EC3} +\definecolor{efm2}{HTML}{F31E26} +\definecolor{efm3}{HTML}{019E5E} +\definecolor{efm4}{HTML}{FBA61D} +\definecolor{efm5}{HTML}{916237} + +% Font style +\renewcommand{\familydefault}{\sfdefault} + +\begin{document} + \begin{tikzpicture}[] + \input{toy-network-1-achmc-input.tex} + \end{tikzpicture} +\end{document} diff --git a/v2.0.2/assets-compile/toy-network-1-chmc-analysis.jl b/v2.0.2/assets-compile/toy-network-1-chmc-analysis.jl new file mode 100755 index 0000000..c2e2f2d --- /dev/null +++ b/v2.0.2/assets-compile/toy-network-1-chmc-analysis.jl @@ -0,0 +1,34 @@ +using MarkovWeightedEFMs +using CairoMakie + +# Toy network 1 +S = [# + -1 0 0 0 0 0 0 0 0 0 1 + 1 -1 1 -1 0 0 0 0 0 0 0 + 0 1 -1 0 -1 1 0 0 0 0 0 + 0 0 0 1 0 0 -1 0 0 0 0 + 0 0 0 0 1 -1 1 -1 -1 1 0 + 0 0 0 0 0 0 0 1 0 0 -1 + 0 0 0 0 0 0 0 0 1 -1 0 +] +v = [3, 2, 1, 2, 3, 2, 2, 3, 1, 1, 3] +res = steady_state_efm_distribution(S, v) +efms = [# + [3, 2, 3], + [3, 2, 4, 5, 3], + [3, 5, 3], + [6, 1, 2, 3, 5, 6], + [7, 5, 7], + [6, 1, 2, 4, 5, 6] +] +res.e == efms # true + +T = stoichiometry_to_transition_matrix(S, v) + +# Static backend for plotting +CairoMakie.activate!(type = "png") + +# Plot and save +fig = plot_chmc(T, 1) +save("toy-network-1-chmc-makie.png", fig) + diff --git a/v2.0.2/assets-compile/toy-network-1-chmc-tikz.tex b/v2.0.2/assets-compile/toy-network-1-chmc-tikz.tex new file mode 100755 index 0000000..36ab3c7 --- /dev/null +++ b/v2.0.2/assets-compile/toy-network-1-chmc-tikz.tex @@ -0,0 +1,74 @@ +\begin{tikzpicture}[% + >=latex, + decoration={% + markings, + mark=at position 1.0 with {\arrow{>}} + }, + every node/.style={% + font=\sffamily\footnotesize\itshape, + text=gray, + text centered, + align=center + }, + frame/.style={draw=black,inner sep=2pt} +] + + % Nodes + \node[% + lnode,text=black + ] (A1) {State 1\\Mets.\\1}; + \node[% + lnode,text=black,below=0.3cm of A1 + ] (A2) {State 2\\Mets.\\1,2}; + \node[% + lnode,text=black,below=0.3cm of A2,xshift=-2.0cm + ] (A3) {State 3\\Mets.\\1,2,3}; + \node[% + lnode,text=black,below=0.3cm of A2,xshift=+2.0cm + ] (A4) {State 4\\Mets.\\1,2,4}; + \node[% + lnode,text=black,below=0.3cm of A3 + ] (A53) {State 5\\Mets.\\1,2,3,5}; + \node[% + lnode,text=black,below=0.3cm of A53,xshift=-1.0cm + ] (A653) {State 7\\Mets.\\1,2,3,5,6}; + \node[% + lnode,text=black,below=0.3cm of A53,xshift=+1.0cm + ] (A753) {State 8\\Mets.\\1,2,3,5,7}; + \node[% + lnode,text=black,below=0.3cm of A4 + ] (A54) {State 6\\Mets.\\1,2,4,5}; + \node[% + lnode,text=black,below=0.3cm of A54,xshift=-1.8cm + ] (A34) {State 9\\Mets.\\1,2,4,5,3}; + \node[% + lnode,text=black,below=0.3cm of A54,xshift=-0.4cm + ] (A74) {State 10\\Mets.\\1,2,4,5,7}; + \node[% + lnode,text=black,below=0.3cm of A54,xshift=+1.0cm + ] (A64) {State 11\\Mets.\\1,2,4,5,6}; + + % Intra-node edges + \draw[postaction={decorate}] (A1) to node [left=0.1pt,yshift=1pt] {1} (A2); + \draw[postaction={decorate}] (A2) to node [left=0.1pt,yshift=1pt] {2/4} (A3); + \draw[postaction={decorate}] (A2) to node [right=0.1pt,yshift=1pt] {2/4} (A4); + \draw[postaction={decorate}] (A3) to node [left=0.1pt,yshift=1pt] {3/4} (A53); + \draw[postaction={decorate}] (A53) to node [left=0.1pt,yshift=1pt,xshift=2pt] {3/6} (A653); + \draw[postaction={decorate}] (A53) to node [left=0.1pt,yshift=-1pt] {1/6} (A753); + \draw[postaction={decorate}] (A4) to node [right=0.1pt,yshift=1pt] {1} (A54); + \draw[postaction={decorate}] (A54) to node [left=0.1pt,yshift=1pt,xshift=2pt] {2/6} (A34); + \draw[postaction={decorate}] (A54) to node [left=0.1pt,yshift=-1pt] {1/6} (A74); + \draw[postaction={decorate}] (A54) to node [right=0.1pt,yshift=1pt] {3/6} (A64); + + % EFM edges + \draw[dashed,->,postaction={decorate}] (A3) to [bend right=30] node [below right=0.1pt,yshift=-5pt,xshift=-13pt] {1/4} (A2); + \draw[dashed,->,postaction={decorate}] (A34) to [bend left=0] node [left=0.1pt,yshift=+1pt] {1/4} (A2); + \draw[dashed,->,postaction={decorate}] (A753) to [bend right=30] node [right=0.1pt,xshift=+1pt,yshift=-4pt] {1} (A53); + \draw[dashed,->,postaction={decorate}] (A53) to [bend right=30] node [right=0.1pt,yshift=+1pt] {2/6} (A3); + \draw[dashed,->,postaction={decorate}] (A74) to [bend right=30] node [right=0.1pt,yshift=+1pt,xshift=-2pt] {1} (A54); + \draw[dashed,->,postaction={decorate}] (A34) to [bend left=30] node [above=0.1pt,yshift=+2pt,xshift=2pt] {3/4} (A54); + \draw[dashed,->,postaction={decorate}] (A653) to [bend left=50] node [left=4.3pt,yshift=-0.09cm] {1} (A1); + \draw[dashed,->,postaction={decorate}] (A64) to [bend right=50] node [right=4.3pt,yshift=-0.09cm] {1} (A1); + +\end{tikzpicture} + diff --git a/v2.0.2/assets-compile/toy-network-1-chmc.pdf b/v2.0.2/assets-compile/toy-network-1-chmc.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8846067a4d7d62847a36e5ae38ed4ef9b52fed1f GIT binary patch literal 23947 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+\documentclass[varwidth,convert={density=500,outext=.png},border=0pt]{standalone} + +% Tikz packages +\usepackage{tikz} +\usetikzlibrary{% + patterns, plotmarks, backgrounds, shapes, arrows, calc, trees, + positioning, chains, shapes.geometric, decorations.pathreplacing, + decorations.pathmorphing, shapes.arrows, decorations.markings, quotes, + arrows.meta, spy, fit, matrix +} + +% General includegraphics and colour support +\usepackage{graphicx} +\usepackage{xcolor} +% Captions and subcaptions +\usepackage{caption} +\usepackage[labelformat=parens]{subcaption} + +% String macros (for reading in tabular data) +\usepackage{xstring} + +% PGFPlots +\usepackage{pgfplots} +\usepackage{pgfplotstable} +\pgfplotsset{compat=newest, plot coordinates/math parser=false} + +%% Define node types +\tikzstyle{lnode} = [% + circle, + draw=black, + minimum height=0.65cm, + align=center, + fill=none, + text centered, + inner sep=0.5pt, + font=\tiny +]% + +\begin{document} + \begin{figure} + \centering + \scalebox{0.75}{\input{toy-network-1-chmc-tikz.tex}} + \end{figure} +\end{document} + diff --git a/v2.0.2/assets-compile/toy-network-1-tikz.tex b/v2.0.2/assets-compile/toy-network-1-tikz.tex new file mode 100755 index 0000000..8e39e39 --- /dev/null +++ b/v2.0.2/assets-compile/toy-network-1-tikz.tex @@ -0,0 +1,55 @@ +\begin{tikzpicture}[% + >=latex, + decoration={% + markings, + mark=at position 1.0 with {\arrow{>}} + }, + every node/.style={% + font=\sffamily\footnotesize\itshape, + text=gray, + text centered, + align=center + }, + frame/.style={draw=black,inner sep=2pt} +] + + % Nodes + \node[% + lnode,text=black + ] (A1) {Met.\\1}; + \node[% + lnode,text=black,right=1.0cm of A1 + ] (A2) {Met.\\2}; + \node[% + right=1.0cm of A2, lnode,text=black,yshift=1.32cm + ] (A3) {Met.\\3}; + \node[% + right=1.0cm of A2, lnode,text=black,yshift=-1.32cm + ] (A4) {Met.\\4}; + \node[% + right=1.0cm of A3, lnode,text=black,yshift=-1.32cm + ] (A5) {Met.\\5}; + \node[% + right=1.0cm of A5, lnode,text=black + ] (A6) {Met.\\6}; + \node[% + right=1.0cm of A5, yshift=1.32cm,lnode,text=black + ] (A7) {Met.\\7}; + + % Intra-node edges + \draw[postaction={decorate}] (A1) to node [below=0.1pt,yshift=1pt] {3} (A2); + \draw[postaction={decorate}] (A2) to [bend right=30] node [above left=0.1pt,yshift=-3pt] {2} (A3); + \draw[postaction={decorate}] (A3) to [bend right=30] node [below right=0.1pt,yshift=3pt] {1} (A2); + \draw[postaction={decorate}] (A5) to [bend right=30] node [above left=0.1pt,yshift=-3pt] {1} (A7); + \draw[postaction={decorate}] (A7) to [bend right=30] node [below right=0.1pt,yshift=3pt] {1} (A5); + \draw[postaction={decorate}] (A3) to [bend right=30] node [above right=0.1pt,yshift=-3pt] {3} (A5); + \draw[postaction={decorate}] (A5) to [bend right=30] node [below left=0.1pt,yshift=+3pt] {2} (A3); + \draw[postaction={decorate}] (A2) to [bend right=30] node [above right=0.1pt,yshift=-3pt] {2} (A4); + \draw[postaction={decorate}] (A4) to [bend right=30] node [above 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b/v2.0.2/assets-compile/toy-network-1.tex new file mode 100755 index 0000000..c01e604 --- /dev/null +++ b/v2.0.2/assets-compile/toy-network-1.tex @@ -0,0 +1,46 @@ +\documentclass[varwidth,convert={density=500,outext=.png},border=0pt]{standalone} + +% Tikz packages +\usepackage{tikz} +\usetikzlibrary{% + patterns, plotmarks, backgrounds, shapes, arrows, calc, trees, positioning, + chains, shapes.geometric, decorations.pathreplacing, + decorations.pathmorphing, shapes.arrows, decorations.markings, quotes, + arrows.meta, spy, fit, matrix +} + +% General includegraphics and colour support +\usepackage{graphicx} +\usepackage{xcolor} +% Captions and subcaptions +\usepackage{caption} +\usepackage[labelformat=parens]{subcaption} + +% String macros (for reading in tabular data) +\usepackage{xstring} + +% PGFPlots +\usepackage{pgfplots} +\usepackage{pgfplotstable} +\pgfplotsset{compat=newest,plot coordinates/math parser=false} + +%% Define node types +\tikzstyle{lnode} = [% + circle, + draw=black, + minimum height=0.65cm, + align=center, + fill=none, + text centered, + inner sep=0.5pt, + font=\tiny +]% + +\begin{document} + \begin{figure} + \centering + \scalebox{0.75}{\input{toy-network-1-tikz.tex}} + \vspace*{-1.18em} + \end{figure} +\end{document} + diff --git a/v2.0.2/assets-compile/toy-network-2-achmc-tikz.tex b/v2.0.2/assets-compile/toy-network-2-achmc-tikz.tex new file mode 100644 index 0000000..debd2e1 --- /dev/null +++ b/v2.0.2/assets-compile/toy-network-2-achmc-tikz.tex @@ -0,0 +1,108 @@ +\begin{tikzpicture}[% + >=latex, + decoration={% + markings, + mark=at position 1.0 with {\arrow{>}} + }, + every node/.style={% + %font=\sffamily\footnotesize\itshape, + font=\footnotesize, + text=black, + text centered, + align=center + }, + frame/.style={draw=black,inner sep=2pt} +] + + % Nodes + \node[] (P1) {}; + \node[lnode,text=black,left=0.1cm of P1] (A1) {6PG}; + \node[lnode,text=black,right=0.1cm of P1] (A2) {NADP+}; + \node[rxn,below=1.0cm of P1] (R1_2) {10}; + \node[below=1.0cm of R1_2] (P2) {}; + \node[lnode,text=black,left=0.1cm of P2] (A4) {H\textsuperscript{+}}; + \node[lnode,text=black,right=0.1cm of P2] (A5) {NADPH}; + \node[lnode,text=black,right=0.5cm of A5] (A6) {R5P}; + \node[rxn,text=black,below=1.5cm of A6] (R6) {10}; + \node[lnode,text=black,below=1.0cm of R6] (A7) {5RP}; + \node[lnode,text=black,left=0.5cm of A4] (A3) {CO\textsubscript{2}}; + \node[lnode,text=black,left=0.5cm of A3,yshift=-1.0cm] (A8) {AIR}; + \node[lnode,text=black,above=0.1cm of A8] (A15) {H\textsubscript{2}O}; + \node[rxn,xshift=-0.9cm] (R3_15) at (A3 |- R1_2) {3}; + \node[lnode,text=black] (A16) at (A1-|R3_15) {HCO\textsubscript{3}\textsuperscript{-}}; + \node[rxn] (R3_8) at (R6-|R3_15) {7}; + \node[lnode,text=black,below=1.0cm of R3_8] (A9) {CAIR}; + \node[lnode,text=black,left=0.5cm of A9] (A10) {Aspartate}; + \node[lnode,text=black,left=0.5cm of A10] (A11) {ATP}; + \node[rxn,text=black,below=1.0cm of A10] (R9_10_11) {7}; + \node[lnode,text=black,below=1.0cm of R9_10_11] (A13) {O\textsubscript{4}P\textsuperscript{3-}}; + \node[lnode,text=black,left=0.5cm of A13] (A12) {ADP}; + \node[lnode,text=black,right=0.5cm of A13] (A14) {SAICAR}; + + \node[rxn,text=black,above=0.5cm of A1] (S1) {10}; + \node[rxn,text=black,above=0.5cm of A2] (S2) {10}; + \node[rxn,text=black,below=0.5cm of A4] (S4) {13}; + \node[rxn,text=black,below=0.5cm of A5] (S5) {10}; + \node[rxn,text=black,below=0.5cm of A7] (S7) {10}; + \node[rxn,text=black,left=0.5cm of A8] (S8) {7}; + \node[rxn,text=black,above=0.5cm of A10] (S10) {7}; + \node[rxn,text=black,above=0.5cm of A11] (S11) {7}; + \node[rxn,text=black,below=0.5cm of A12] (S12) {7}; + \node[rxn,text=black,below=0.5cm of A13] (S13) {7}; + \node[rxn,text=black,below=0.5cm of A14] (S14) {7}; + \node[rxn,text=black,left=0.5cm of A15] (S15) {3}; + \node[rxn,text=black,above=0.5cm of A16] (S16) {3}; + + % Intra-node edges + \draw[-] (A1.south) to node[midway,left] {1} (R1_2.north); + \draw[-] (A2.south) to node[midway,right] {1} (R1_2.north); + \draw[postaction={decorate}] (R1_2.south) to node[midway,left] {1} (A3); + \draw[postaction={decorate}] (R1_2.south) to node[midway,left] {1} (A4); + \draw[postaction={decorate}] (R1_2.south) to node[midway,right] {1} (A5); + \draw[postaction={decorate}] (R1_2.south) to node[midway,right] {1} (A6); + \draw[-] (A6.south) to node[midway,right] {1} (R6.north); + \draw[postaction={decorate}] (R6.south) to node[midway,right] {1} (A7.north); + \draw[-] (A3.south) to node[midway,left] {1} (R3_8.north); + \draw[-] (A8.south) to node[midway,above] {1} (R3_8.north); + \draw[postaction={decorate}] (R3_8.south) to node[midway,right] {1} (A9.north); + \draw[-] (A3.north) to node[midway,right] {1} (R3_15); + \draw[-] (A15.north) to node[midway,above] {1} (R3_15); + \draw[postaction={decorate}] (R3_15.north) to node[midway,right] {1} (A16); + \draw[postaction={decorate}] (R3_15.east) to node[midway,right] {1} (A4); + \draw[-] (A11.south) to node[midway,left] {1} (R9_10_11); + \draw[-] (A10.south) to node[midway,right] {1} (R9_10_11); + \draw[-] (A9.south) to node[midway,right] {1} (R9_10_11); + \draw[postaction={decorate}] (R9_10_11.south) to node[left] {1} (A12); + \draw[postaction={decorate}] (R9_10_11.south) to node[right] {1} (A13); + \draw[postaction={decorate}] (R9_10_11.south) to node[right] {1} (A14); + + + % Sources/sinks + \draw[postaction={decorate}] (S1) to node[midway,right] {1} (A1); + \draw[postaction={decorate}] (S2) to node[midway,right] {1} (A2); + \draw[postaction={decorate}] (A4) to node[midway,right] {1} (S4); + \draw[postaction={decorate}] (A5) to node[midway,right] {1} (S5); + \draw[postaction={decorate}] (A7) to node[midway,right] {1} (S7); + \draw[postaction={decorate}] (S8) to node[midway,above] {1} (A8); + \draw[postaction={decorate}] (S10) to node[midway,right] {1} (A10); + \draw[postaction={decorate}] (S11) to node[midway,right] {1} (A11); + \draw[postaction={decorate}] (A12) to node[midway,right] {1} (S12); + \draw[postaction={decorate}] (A13) to node[midway,right] {1} (S13); + \draw[postaction={decorate}] (A14) to node[midway,right] {1} (S14); + \draw[postaction={decorate}] (S15) to node[midway,above] {1} (A15); + \draw[postaction={decorate}] (A16) to node[midway,right] {1} (S16); + + % Legend + \node[lnode,text=black,right=0.8cm of A9,yshift=-0.8cm] (L1) {}; + \node[rxn,text=black,below=0.5cm of L1] (L2) {}; + \node[below=0.2cm of L2] (L3A) {}; + \node[below=0.5cm of L3A] (L3B) {}; + \draw[postaction={decorate}] (L3A) to node[midway,right] {1} (L3B); + \node[right=0.1cm of L1] (T1) {Metabolite}; + \node[xshift=0.2cm] (T2) at (L2 -| T1) {Reaction flux}; + \node[yshift=0.40cm,xshift=0.21cm] (T3) at (L3B -| T1) {Stoichiometry}; + \node[draw,fit=(L1) (L2) (L3A) (L3B) (T1) (T2) (T3)] (box) {}; + + +\end{tikzpicture} + diff --git a/v2.0.2/assets-compile/toy-network-2-achmc.pdf b/v2.0.2/assets-compile/toy-network-2-achmc.pdf new file mode 100644 index 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+//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on( + "click", + ".docstring .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `

`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + combineWith: "AND", + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
${count_str}
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
Type something to get started!
+ `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
+ Filters: + ${str} +
`; +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+ `; + + let initial_search_body = ` +
Type something to get started!
+ `; + + let search_modal_footer = ` +
+ + Ctrl + + / to search + + esc to close +
+ `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/v2.0.2/assets/ion-channel-chmc-makie.png b/v2.0.2/assets/ion-channel-chmc-makie.png new file mode 100644 index 0000000000000000000000000000000000000000..566eb70831482004a56455308e666d0d7c96a449 GIT binary 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.button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus,html.theme--catppuccin-frappe .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus:not(:active),html.theme--catppuccin-frappe .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-frappe .button.is-light:active,html.theme--catppuccin-frappe .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe 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.button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe 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!important}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe 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.button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe 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.docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-light,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus:not(:active),html.theme--catppuccin-frappe .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-link:active,html.theme--catppuccin-frappe .button.is-link.is-active{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:#8caaee;box-shadow:none}html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-light{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:hover,html.theme--catppuccin-frappe .button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) 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.button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-previous,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-frappe .pagination.is-rounded .pagination-next,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-link,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-frappe .pagination,html.theme--catppuccin-frappe .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link{border-color:#626880;color:#8caaee;min-width:2.5em}html.theme--catppuccin-frappe .pagination-previous:hover,html.theme--catppuccin-frappe .pagination-next:hover,html.theme--catppuccin-frappe .pagination-link:hover{border-color:#737994;color:#99d1db}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe .pagination-next:focus,html.theme--catppuccin-frappe .pagination-link:focus{border-color:#737994}html.theme--catppuccin-frappe .pagination-previous:active,html.theme--catppuccin-frappe .pagination-next:active,html.theme--catppuccin-frappe .pagination-link:active{box-shadow:inset 0 1px 2px 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768px){html.theme--catppuccin-frappe .pagination{flex-wrap:wrap}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-frappe .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination-previous{order:2}html.theme--catppuccin-frappe .pagination-next{order:3}html.theme--catppuccin-frappe .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-frappe .pagination.is-centered 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.button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:hover,html.theme--catppuccin-latte .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus,html.theme--catppuccin-latte .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus:not(:active),html.theme--catppuccin-latte .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte 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.docstring>section>a.button.is-active.docs-sourcelink{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary[disabled],html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-primary.is-inverted,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-latte 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.button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content 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.file.is-success.is-hovered .file-cta{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:focus .file-cta,html.theme--catppuccin-latte .file.is-success.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(64,160,43,0.25);color:#fff}html.theme--catppuccin-latte .file.is-success:active .file-cta,html.theme--catppuccin-latte .file.is-success.is-active .file-cta{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning .file-cta{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:hover .file-cta,html.theme--catppuccin-latte .file.is-warning.is-hovered .file-cta{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:focus .file-cta,html.theme--catppuccin-latte .file.is-warning.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(223,142,29,0.25);color:#fff}html.theme--catppuccin-latte .file.is-warning:active .file-cta,html.theme--catppuccin-latte .file.is-warning.is-active .file-cta{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger .file-cta{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:hover .file-cta,html.theme--catppuccin-latte .file.is-danger.is-hovered .file-cta{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:focus .file-cta,html.theme--catppuccin-latte .file.is-danger.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(210,15,57,0.25);color:#fff}html.theme--catppuccin-latte .file.is-danger:active .file-cta,html.theme--catppuccin-latte .file.is-danger.is-active .file-cta{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth .control{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.is-grouped>.control{flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped>.control:not(:last-child){margin-bottom:0;margin-right:.75rem}html.theme--catppuccin-latte .field.is-grouped>.control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.is-grouped.is-grouped-centered{justify-content:center}html.theme--catppuccin-latte .field.is-grouped.is-grouped-right{justify-content:flex-end}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline{flex-wrap:wrap}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:last-child,html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:last-child{margin-bottom:-0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:not(:last-child){margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field.is-horizontal{display:flex}}html.theme--catppuccin-latte .field-label .label{font-size:inherit}@media screen and (max-width: 768px){html.theme--catppuccin-latte .field-label{margin-bottom:0.5rem}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-label{flex-basis:0;flex-grow:1;flex-shrink:0;margin-right:1.5rem;text-align:right}html.theme--catppuccin-latte .field-label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.field-label{font-size:.75rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-normal{padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-medium{font-size:1.25rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-large{font-size:1.5rem;padding-top:0.375em}}html.theme--catppuccin-latte .field-body .field .field{margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-body{display:flex;flex-basis:0;flex-grow:5;flex-shrink:1}html.theme--catppuccin-latte .field-body .field{margin-bottom:0}html.theme--catppuccin-latte .field-body>.field{flex-shrink:1}html.theme--catppuccin-latte .field-body>.field:not(.is-narrow){flex-grow:1}html.theme--catppuccin-latte .field-body>.field:not(:last-child){margin-right:.75rem}}html.theme--catppuccin-latte .control{box-sizing:border-box;clear:both;font-size:1rem;position:relative;text-align:inherit}html.theme--catppuccin-latte .control.has-icons-left .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left .select:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right 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.navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-latte .navbar>.container{display:block}html.theme--catppuccin-latte .navbar-brand .navbar-item,html.theme--catppuccin-latte .navbar-tabs .navbar-item{align-items:center;display:flex}html.theme--catppuccin-latte .navbar-link::after{display:none}html.theme--catppuccin-latte .navbar-menu{background-color:#1e66f5;box-shadow:0 8px 16px rgba(10,10,10,0.1);padding:0.5rem 0}html.theme--catppuccin-latte .navbar-menu.is-active{display:block}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch,html.theme--catppuccin-latte .navbar.is-fixed-top-touch{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte 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a.navbar-item{padding-right:3rem}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:focus,html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#8c8fa1}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}.navbar.is-spaced html.theme--catppuccin-latte .navbar-dropdown,html.theme--catppuccin-latte .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-latte .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-latte .navbar-divider{display:block}html.theme--catppuccin-latte .navbar>.container .navbar-brand,html.theme--catppuccin-latte .container>.navbar 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body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-bottom,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link.is-active{color:#1e66f5}html.theme--catppuccin-latte a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-latte .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-latte .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-latte .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-latte .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-latte .pagination.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-latte .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-latte .pagination.is-rounded .pagination-previous,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-latte .pagination.is-rounded .pagination-next,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-latte .pagination.is-rounded .pagination-link,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-latte .pagination,html.theme--catppuccin-latte .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link{border-color:#acb0be;color:#1e66f5;min-width:2.5em}html.theme--catppuccin-latte .pagination-previous:hover,html.theme--catppuccin-latte .pagination-next:hover,html.theme--catppuccin-latte .pagination-link:hover{border-color:#9ca0b0;color:#04a5e5}html.theme--catppuccin-latte .pagination-previous:focus,html.theme--catppuccin-latte .pagination-next:focus,html.theme--catppuccin-latte .pagination-link:focus{border-color:#9ca0b0}html.theme--catppuccin-latte .pagination-previous:active,html.theme--catppuccin-latte .pagination-next:active,html.theme--catppuccin-latte .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--catppuccin-latte .pagination-previous[disabled],html.theme--catppuccin-latte .pagination-previous.is-disabled,html.theme--catppuccin-latte .pagination-next[disabled],html.theme--catppuccin-latte .pagination-next.is-disabled,html.theme--catppuccin-latte .pagination-link[disabled],html.theme--catppuccin-latte .pagination-link.is-disabled{background-color:#acb0be;border-color:#acb0be;box-shadow:none;color:#616587;opacity:0.5}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{padding-left:.75em;padding-right:.75em;white-space:nowrap}html.theme--catppuccin-latte .pagination-link.is-current{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .pagination-ellipsis{color:#9ca0b0;pointer-events:none}html.theme--catppuccin-latte .pagination-list{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-list li{list-style:none}@media screen and (max-width: 768px){html.theme--catppuccin-latte .pagination{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination-previous{order:2}html.theme--catppuccin-latte .pagination-next{order:3}html.theme--catppuccin-latte .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-latte 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.panel-heading{background-color:#179299;color:#fff}html.theme--catppuccin-latte .panel.is-info .panel-tabs a.is-active{border-bottom-color:#179299}html.theme--catppuccin-latte .panel.is-info .panel-block.is-active .panel-icon{color:#179299}html.theme--catppuccin-latte .panel.is-success .panel-heading{background-color:#40a02b;color:#fff}html.theme--catppuccin-latte .panel.is-success .panel-tabs a.is-active{border-bottom-color:#40a02b}html.theme--catppuccin-latte .panel.is-success .panel-block.is-active .panel-icon{color:#40a02b}html.theme--catppuccin-latte .panel.is-warning .panel-heading{background-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .panel.is-warning .panel-tabs a.is-active{border-bottom-color:#df8e1d}html.theme--catppuccin-latte .panel.is-warning .panel-block.is-active .panel-icon{color:#df8e1d}html.theme--catppuccin-latte .panel.is-danger .panel-heading{background-color:#d20f39;color:#fff}html.theme--catppuccin-latte .panel.is-danger .panel-tabs 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kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link{background-color:#8aadf4;border-color:#8aadf4;box-shadow:none}html.theme--catppuccin-macchiato .button.is-link.is-inverted{background-color:#fff;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-link.is-outlined{background-color:transparent;border-color:#8aadf4;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-outlined:hover,html.theme--catppuccin-macchiato 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.button.is-link.is-outlined{background-color:transparent;border-color:#8aadf4;box-shadow:none;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8aadf4 #8aadf4 !important}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-light{background-color:#ecf2fd;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:hover,html.theme--catppuccin-macchiato .button.is-link.is-light.is-hovered{background-color:#e1eafc;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:active,html.theme--catppuccin-macchiato .button.is-link.is-light.is-active{background-color:#d5e2fb;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-info{background-color:#8bd5ca;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info:hover,html.theme--catppuccin-macchiato .button.is-info.is-hovered{background-color:#82d2c6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info:focus,html.theme--catppuccin-macchiato .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info:focus:not(:active),html.theme--catppuccin-macchiato .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(139,213,202,0.25)}html.theme--catppuccin-macchiato .button.is-info:active,html.theme--catppuccin-macchiato .button.is-info.is-active{background-color:#78cec1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info{background-color:#8bd5ca;border-color:#8bd5ca;box-shadow:none}html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused,html.theme--catppuccin-macchiato .buttons.has-addons .button:active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button:active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-macchiato .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-macchiato .buttons.is-centered{justify-content:center}html.theme--catppuccin-macchiato .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-macchiato .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-macchiato .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-macchiato .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-macchiato .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-macchiato .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-macchiato .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-macchiato .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content h6{color:#cad3f5;font-weight:600;line-height:1.125}html.theme--catppuccin-macchiato .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-macchiato .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-macchiato .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-macchiato .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-macchiato .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-macchiato .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-macchiato .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-macchiato .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-macchiato .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-macchiato .content blockquote{background-color:#1e2030;border-left:5px solid #5b6078;padding:1.25em 1.5em}html.theme--catppuccin-macchiato .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-macchiato .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-macchiato .content figure img{display:inline-block}html.theme--catppuccin-macchiato .content figure figcaption{font-style:italic}html.theme--catppuccin-macchiato .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-macchiato .content sup,html.theme--catppuccin-macchiato .content sub{font-size:75%}html.theme--catppuccin-macchiato .content table{width:100%}html.theme--catppuccin-macchiato .content table td,html.theme--catppuccin-macchiato .content table th{border:1px solid #5b6078;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-macchiato .content table th{color:#b5c1f1}html.theme--catppuccin-macchiato .content table th:not([align]){text-align:inherit}html.theme--catppuccin-macchiato .content table thead td,html.theme--catppuccin-macchiato .content table thead th{border-width:0 0 2px;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tfoot td,html.theme--catppuccin-macchiato .content table tfoot th{border-width:2px 0 0;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tbody tr:last-child td,html.theme--catppuccin-macchiato .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-macchiato .content .tabs li+li{margin-top:0}html.theme--catppuccin-macchiato .content.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-macchiato .content.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .content.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .content.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-macchiato .icon.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-macchiato .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-macchiato .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-macchiato .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-macchiato .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-macchiato .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-macchiato .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-macchiato div.icon-text{display:flex}html.theme--catppuccin-macchiato .image,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-macchiato .image img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-macchiato .image img.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-macchiato .image.is-fullwidth,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-macchiato .image.is-square img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-macchiato .image.is-square .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-macchiato .image.is-1by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-macchiato .image.is-1by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by4 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-macchiato .image.is-5by4 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-macchiato .image.is-4by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-macchiato .image.is-4by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by2 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-macchiato .image.is-3by2 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-macchiato 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.has-ratio,html.theme--catppuccin-macchiato .image.is-4by5 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-macchiato .image.is-4by5 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by4 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-macchiato .image.is-3by4 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-macchiato .image.is-2by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-macchiato .image.is-2by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by5 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar 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form.docs-search>input[disabled]:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .select select:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .textarea:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .input:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input:-ms-input-placeholder{color:rgba(245,247,253,0.3)}html.theme--catppuccin-macchiato .textarea,html.theme--catppuccin-macchiato .input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input{box-shadow:inset 0 0.0625em 0.125em rgba(10,10,10,0.05);max-width:100%;width:100%}html.theme--catppuccin-macchiato .textarea[readonly],html.theme--catppuccin-macchiato .input[readonly],html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[readonly]{box-shadow:none}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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kbd.button.is-outlined.is-focused{background-color:#313244;border-color:#313244;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table 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.content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-mocha .image.is-square,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-mocha .image.is-1by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-mocha .image.is-5by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-mocha .image.is-4by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-mocha .image.is-3by2,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-mocha .image.is-5by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-mocha .image.is-16by9,html.theme--catppuccin-mocha #documenter 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.button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark 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.docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-outlined:hover,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark 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.button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark 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h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v2.0.2/assets/themeswap.js b/v2.0.2/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/v2.0.2/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. 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    GitHub

    MarkovWeightedEFMs.jl

    MarkovWeightedEFMs.jl is a package to decompose steady state metabolic fluxes onto elementary flux mode (EFM) weights and atomic elementary flux mode (AEFM) weights. EFM flux decomposition works only for closed-loop networks of unimolecular reactions. AEFM flux decomposition works on metabolic flux networks with known metabolite structures.

    Usage

    See Getting started for package installation and Python dependencies (RXNMapper) for AEFM enumeration and flux decomposition. Once installed, the package is loaded in a julia session by typing:

    julia> using MarkovWeightedEFMs

    See the tutorial sections for EFM or AEFM enumeration and flux decomposition.

    Citing MarkovWeightedEFMs.jl

    Please cite the following papers if you use our method for (A)EFM enumeration and flux decomposition.

    Justin G. Chitpin and Theodore J. Perkins, Atomic elementary flux modes explain the steady state flow of metabolites in flux networks. biorXiv preprint doi: XX.XXXX/XXXX.XX.XX.XXXXXX

    Justin G. Chitpin and Theodore J. Perkins, A Markov constraint to uniquely identify elementary flux mode weights in unimolecular metabolic networks. J Theor Biol. 2023 Nov 7;575:111632. doi: 10.1016/j.jtbi.2023.111632

    License

    This software is released under the MIT license.

    Contact information

    Justin G. Chitpin at jchit069@uottawa.ca for questions.

    diff --git a/v2.0.2/installation/installation/index.html b/v2.0.2/installation/installation/index.html new file mode 100644 index 0000000..e11af04 --- /dev/null +++ b/v2.0.2/installation/installation/index.html @@ -0,0 +1,15 @@ + +Getting started · MarkovWeightedEFMs.jl
    GitHub

    Getting started

    To install this package, open a julia session and enter:

    julia> ]
+(@v1.10) pkg> add https://github.com/jchitpin/MarkovWeightedEFMs.jl.git

    Alternatively, you can load Pkg and install by:

    julia> using Pkg
+julia> Pkg.add("https://github.com/jchitpin/MarkovWeightedEFMs.jl.git")

    Python dependencies for AEFM analysis

    AEFM-specific analyses depend on the atom mapping program RXNMapper. This package must be installed and built with PyCall.jl after installing MarkovWeightedEFMs.jl. Tested to work with python version 3.10 and 3.11

    This can be done by creating a python virtual environment, installing RXNMapper, and setting the PYTHON environment variable to the python executable in the virtual environment.

    $ pip install virtualenv
+$ virtualenv --python="/usr/bin/python3.10" "virtualenv" # name of virtual environment
+$ source virtualenv/bin/activate
+(virtualenv) $ pip install rxnmapper
+(virtualenv) $ pip install rdkit
+(virtualenv) $ pip install requests
+(virtualenv) $ pip install tdqm
+(virtualenv) $ pip install bs4
+(virtualenv) $ pip install CTSgetPy
+(virtualenv) $ julia
    julia> using Pkg, PyCall
+julia> ENV["PYTHON"] = joinpath(ENV["VIRTUAL_ENV"], "bin", "python")
+julia> Pkg.build("PyCall")

    Note PyCall.jl will need to be rebuilt whenever you update your Julia version. See PyCall.jl documentation for more options on setting up Python in Julia.

    See Exact Python dependencies for RXNMapper for more information.

    diff --git a/v2.0.2/installation/python-dependencies/index.html b/v2.0.2/installation/python-dependencies/index.html new file mode 100644 index 0000000..51dc190 --- /dev/null +++ b/v2.0.2/installation/python-dependencies/index.html @@ -0,0 +1,77 @@ + +Exact Python dependencies for RXNMapper · MarkovWeightedEFMs.jl
    GitHub

    Exact Python dependencies for RXNMapper

    Python version

    (rxnmapper-virtual-environment)
+$ python
+Python 3.10.14 (main, Jul 31 2024, 21:14:36) [GCC 14.1.1 20240720] on linux
+Type "help", "copyright", "credits" or "license" for more information.
+>>> import sys
+>>> print(sys.version)
+3.10.14 (main, Jul 31 2024, 21:14:36) [GCC 14.1.1 20240720]

    Dependencies list

    (rxnmapper-virtual-environment)
+$ pip list --local
+
+Package                  Version
+------------------------ -----------
+annotated-types          0.7.0
+attrs                    24.2.0
+beautifulsoup4           4.12.3
+bs4                      0.0.2
+certifi                  2024.7.4
+charset-normalizer       3.3.2
+click                    8.1.7
+CTSgetPy                 0.0.2
+diskcache                5.6.3
+dnspython                2.6.1
+filelock                 3.15.4
+fsspec                   2024.6.1
+huggingface-hub          0.24.6
+idna                     3.8
+Jinja2                   3.1.4
+MarkupSafe               2.1.5
+mpmath                   1.3.0
+networkx                 3.3
+numpy                    2.1.0
+nvidia-cublas-cu12       12.1.3.1
+nvidia-cuda-cupti-cu12   12.1.105
+nvidia-cuda-nvrtc-cu12   12.1.105
+nvidia-cuda-runtime-cu12 12.1.105
+nvidia-cudnn-cu12        9.1.0.70
+nvidia-cufft-cu12        11.0.2.54
+nvidia-curand-cu12       10.3.2.106
+nvidia-cusolver-cu12     11.4.5.107
+nvidia-cusparse-cu12     12.1.0.106
+nvidia-nccl-cu12         2.20.5
+nvidia-nvjitlink-cu12    12.6.68
+nvidia-nvtx-cu12         12.1.105
+packaging                24.1
+pandas                   2.2.2
+pillow                   10.4.0
+pip                      24.2
+pydantic                 2.8.2
+pydantic_core            2.20.1
+pydantic-settings        2.4.0
+pymongo                  4.8.0
+python-dateutil          2.9.0.post0
+python-dotenv            1.0.1
+pytz                     2024.1
+PyYAML                   6.0.2
+rdkit                    2024.3.5
+regex                    2024.7.24
+requests                 2.32.3
+rxn-chem-utils           1.6.0
+rxn-utils                2.0.0
+rxnmapper                0.3.1
+safetensors              0.4.4
+scipy                    1.14.1
+setuptools               72.1.0
+six                      1.16.0
+soupsieve                2.6
+sympy                    1.13.2
+tdqm                     0.0.1
+tokenizers               0.19.1
+torch                    2.4.0
+tqdm                     4.66.5
+transformers             4.44.2
+triton                   3.0.0
+typing_extensions        4.12.2
+tzdata                   2024.1
+urllib3                  2.2.2
+wheel                    0.43.0
    diff --git a/v2.0.2/library/chmc-atomic/index.html b/v2.0.2/library/chmc-atomic/index.html new file mode 100644 index 0000000..6a916e8 --- /dev/null +++ b/v2.0.2/library/chmc-atomic/index.html @@ -0,0 +1,70 @@ + +Atomic CHMC · MarkovWeightedEFMs.jl
    GitHub

    Atomic CHMC

    Public functions

    MarkovWeightedEFMs.CHMC.Atomic.find_atomic_chmc_input_errors — Function
    find_atomic_chmc_input_errors(S::Matrix{<:Real}, v::Vector{<:Real})

    Performs a series of checks on stoichiometry matrix S and steady state flux vector v to determine whether they meet the atomic CHMC requirements. Returns an CHMCAtomicErrorSummary structure that can be printed via print(res::CHMCAtomicErrorSummary).

    source
    find_atomic_chmc_input_errors(S::Matrix{<:Real})

    Performs a series of checks on stoichiometry matrix S to determine whether they meet the atomic CHMC requirements for atomic EFM enumeration. Returns an CHMCAtomicErrorSummary structure that can be printed via print(res::CHMCAtomicErrorSummary).

    source
    MarkovWeightedEFMs.CHMC.Atomic.correct_atomic_chmc_input_errors — Function
    correct_atomic_chmc_input_errors(#
+    res::CHMCAtomicErrorSummary,
+    S::Matrix{<:Real},
+    v::Vector{<:Real},
+    mets::Vector{String},
+    rxns::Vector{String}
+)

    Corrects all errors identified by find_atomic_chmc_input_errors except for the steady state flux requirement. Returns a corrected version of each input.

    S is the m by n stoichiometry matrix. v is the steady state flux vector of length n. mets is the vector of metabolite names of length m. rxns is the vector of reaction names of length n.

    source
    correct_atomic_chmc_input_errors(#
+    res::CHMCAtomicErrorSummary,
+    S::Matrix{<:Real},
+    mets::Vector{String},
+    rxns::Vector{String}
+)

    Corrects all errors identified by find_atomic_chmc_input_errors except for the steady state flux requirement. Returns a corrected version of each input.

    S is the m by n stoichiometry matrix. mets is the vector of metabolite names of length m. rxns is the vector of reaction names of length n.

    source
    Base.print — Method
    print(res::CHMCAtomicErrorSummary)

    Write CHMCAtomicErrorSummary to stdout.

    source
    MarkovWeightedEFMs.CHMC.Atomic.correct_atomic_chmc_input_smiles — Function
    correct_atomic_chmc_input_smiles(#
+    S::Matrix{<:Real},
+    v::Vector{<:Real},
+    mets::Vector{String},
+    rxns::Vector{String},
+    smiles::Vector{String},
+    H::Bool=false
+)

    Updates the inputs by (1) removing pseudometabolites and (2) reactions whose reaction strings exceed the RXNMapper character limit. Pseudometabolites are defined as either metabolites with no defined chemical structure/SMILES representation, or metabolites whose SMILES strings contain symbols absent from the periodic table (including metabolites with an R-group). Reactions that exceed the RXNMapper character limit are converted into unimolecular sources and sinks to maintain steady state flux. Returns the corrected inputs with a list of removed metabolites/reactions.

    S is the m by n stoichiometry matrix.

    v is the steady state flux vector of length n.

    mets is the vector of metabolite names of length m.

    rxns is the vector of reaction names of length n.

    smiles is the vector of metabolite smiles matching mets.

    H = false will not check for hydrogen conservation in each reaction.

    source
    correct_atomic_chmc_input_smiles(#
+    S::Matrix{<:Real},
+    mets::Vector{String},
+    rxns::Vector{String},
+    smiles::Vector{String},
+    H::Bool=false
+)

    Updates the inputs by (1) removing pseudometabolites and (2) reactions whose reaction strings exceed the RXNMapper character limit. Pseudometabolites are defined as either metabolites with no defined chemical structure/SMILES representation, or metabolites whose SMILES strings contain symbols absent from the periodic table (including metabolites with an R-group). Reactions that exceed the RXNMapper character limit are converted into unimolecular sources and sinks to maintain steady state flux. Returns the corrected inputs with a list of removed metabolites/reactions.

    S is the m by n stoichiometry matrix.

    mets is the vector of metabolite names of length m.

    rxns is the vector of reaction names of length n.

    smiles is the vector of metabolite smiles matching mets.

    H = false will not check for hydrogen conservation in each reaction.

    source
    MarkovWeightedEFMs.CHMC.Atomic.exchange_atomic_chmc_input_metabolites — Function
    exchange_atomic_chmc_input_metabolites(#
+    S::Matrix{<:Real},
+    v::Vector{<:Real},
+    mets::Vector{String},
+    rxns::Vector{String},
+    smiles::Vector{String},
+    ii::Vector{Int64}
+)

    Removes internal metabolites ii from the remaining inputs by converting each metabolite i ∈ ii into a pair of sink and source metabolites. Returns an updated copy of inputs S, v, mets, rxns, and smiles.

    S is the m by n stoichiometry matrix.

    v is the steady state flux vector of length n.

    mets is the vector of metabolite names of length m.

    rxns is the vector of reaction names of length n.

    smiles is the vector of metabolite smiles matching mets.

    ii is the vector of metabolite indices to exchange for pairs of sinks/sources.

    source
    exchange_atomic_chmc_input_metabolites(#
+    S::Matrix{<:Real},
+    mets::Vector{String},
+    rxns::Vector{String},
+    smiles::Vector{String},
+    ii::Vector{Int64}
+)

    Removes internal metabolites ii from the remaining inputs by converting each metabolite i ∈ ii into a pair of sink and source metabolites. Returns an updated copy of inputs S, mets, rxns, and smiles.

    S is the m by n stoichiometry matrix.

    mets is the vector of metabolite names of length m.

    rxns is the vector of reaction names of length n.

    smiles is the vector of metabolite smiles matching mets.

    ii is the vector of metabolite indices to exchange for pairs of sinks/sources.

    source
    MarkovWeightedEFMs.CHMC.Atomic.get_max_atoms — Function
    get_max_atoms(s::Vector{String}, a::Symbol)

    Returns the maximum number of atoms of type a for each SMILES string in s. Returns a vector of all source metabolites in stoichiometry matrix S.

    s is the vector of metabolite SMILES strings.

    a is a periodic table element symbol.

    source
    MarkovWeightedEFMs.CHMC.Atomic.map_reaction_strings — Function
    map_reaction_strings(#
+    S::Matrix{<:Real},
+    smiles::Vector{String},
+    rxns::Vector{String},
+    H::Bool=false
+)

    Constructs reaction strings from the smiles and then returns the atom-mapped reaction strings via RXNMapper.

    S is the stoichiometry matrix.

    smiles is the vector of SMILES strings for metabolites in S.

    rxns is the vector of reaction names in S.

    H = false will not check for hydrogen conservation in each reaction.

    source
    MarkovWeightedEFMs.CHMC.Atomic.precompute_atom_tracing_dictionary — Function
    precompute_atom_tracing_dictionary(#
+    S::Matrix{Int16},
+    ms::Vector{String},
+    amax::Vector{Int64},
+    a::Symbol
+)

    Precomputes a dictionary mapping each atom in a given substrate stoichiometric copy to its product atom across every reaction. The dictionary is used in steady_state_efm_distribution.

    S is the stoichiometry matrix.

    ms is the vector of mapped reaction SMILES strings.

    amax is the total number of atom a in each metabolite row of S.

    a is a periodic table element symbol.

    source
    MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution — Method
    steady_state_efm_distribution(#
+    S::Matrix{<:Integer},
+    v::Vector{<:Real},
+    ms::Vector{String},
+    I::Tuple{Int64,Int64,Symbol},
+    D::Dict{#
+      NTuple{4,Int64},
+      Tuple{Int64,Int64}
+    } = Dict{NTuple{4,Int64}, Tuple{Int64,Int64}}();
+    solver = nothing,
+    verbose::Bool = true
+)

    Enumerates the atomic EFMs from stoichiometry matrix S and compute the steady state probabilities of each EFM according to the discrete-time, cycle-history Markov chain.

    S is a fully-connected, unimolecular, m by n stoichiometry matrix with m metabolites and n reactions.

    v is the n-length steady state flux vector associated with S.

    ms is the vector of mapped reaction SMILES strings.

    I is a triplet of the metabolite row index in S, the atom index, and the atom index type. It is the initial starting state for rooting the cycle-history Markov chain.

    D is the precomputed dictionary from precompute_atom_tracing_dictionary.

    solver is the type used for eigenvector calculations. Default is nothing and LinearSolve will pick the best solver. Consult LinearSolve.jl for specifying other solvers.

    source
    MarkovWeightedEFMs.CHMC.Atomic.preprocess_all_for_atomic_chmc — Function
    preprocess_all_for_atomic_chmc(#
+    S::Matrix{<:Real},
+    v::Vector{<:Real},
+    mets::Vector{String},
+    rxns::Vector{String},
+    smiles::Vector{String},
+    atom::Symbol
+)

    Wrapper function to run pre-processing functions and return the updated model, atomic info, and error/warning logs.

    S is the m by n stoichiometry matrix. v is the steady state flux vector of length n. mets is the vector of metabolite names of length m. rxns is the vector of reaction names of length n. smiles is the vector of metabolite SMILES strings of length m. a is a periodic table element symbol.

    source

    Index

    diff --git a/v2.0.2/library/chmc-plots-atomic/index.html b/v2.0.2/library/chmc-plots-atomic/index.html new file mode 100644 index 0000000..70344cf --- /dev/null +++ b/v2.0.2/library/chmc-plots-atomic/index.html @@ -0,0 +1,24 @@ + +Plotting (ACHMC) · MarkovWeightedEFMs.jl
    GitHub

    Plotting (ACHMC)

    Atomic CHMC

    MarkovWeightedEFMs.Plots.plot_mapped_reaction — Function
    function plot_mapped_reaction(#
+    s::String,
+    fname::String = "";
+    view::Bool = false,
+    canvas_width::Int64 = 3000,
+    canvas_height::Int64 = 1000

    )

    Plot mapped reaction SMILES string s as an SVG and save to fname if specified.

    canvas_width is the width of the SVG.

    canvas_height is the height of the SVG.

    view = true will plot the SVG assuming a plotting backend is specified. For example, loading the ElectronDisplay package will plot the SVG to an Electron window.

    source
    MarkovWeightedEFMs.Plots.plot_atomic_chmc — Function
    function plot_atomic_chmc(#
+    res::CHMCAtomicSummary,
+    S::Matrix{Int16},
+    mets::Vector{String},
+    rs::Vector{String};
+    node_label_textsize::Real=15,
+    edge_label_textsize::Real=12,
+    arrow_shift::Real=0.85,
+    x_pad::Real=0.75,
+    y_pad::Real=0.75,
+    tfactor::Real=0.15,
+    tangents::Tuple{#
+        Tuple{<:Real, <:Real},
+        Tuple{<:Real, <:Real}
+    } = ((1,0),(0,1)),
+    show_all::Bool=false,
+    width::Int64=620,
+    height::Int64=310

    )

    Plot atomic cycle-history Markov chain.

    S is the m by n stoichiometry matrix.

    mets is the vector of metabolite names of length m.

    rs is the vector of reaction SMILES strings of length n.

    node_label_textsize is the text size of the node labels indexed from T.

    edge_label_textsize is the text size of the edge labels taken from T.

    arrow_shift is the percentage shift of the arrow head from src to dst.

    x_pad is the left/right x coordinate padding of the plotting box.

    y_pad is the up/down y coordinate padding of the plotting box.

    tfactor scales the distance of the bezier control point relative to the distance of the src and dst nodes.

    tangents is the tangent of the src vertex and dst vertex.

    show_all=true explicitly plots the upstream transition from all EFMs that pass through the initial state/node I. By default, these arrows stemming from the green nodes are omitted for visual clarity.

    width and height specify the plotting window dimensions in pixel units.

    source

    Index

      diff --git a/v2.0.2/library/chmc-plots-standard/index.html b/v2.0.2/library/chmc-plots-standard/index.html new file mode 100644 index 0000000..74216b2 --- /dev/null +++ b/v2.0.2/library/chmc-plots-standard/index.html @@ -0,0 +1,15 @@ + +Plotting (CHMC) · MarkovWeightedEFMs.jl
      GitHub

      Plotting (CHMC)

      CHMC

      MarkovWeightedEFMs.Plots.plot_chmc — Function
      function plot_chmc(#
+    T::Matrix{<:Real},
+    I::Int64=1;
+    node_label_textsize::Real=15,
+    edge_label_textsize::Real=12,
+    arrow_shift::Real=0.85,
+    x_pad::Real=0.75,
+    y_pad::Real=0.75,
+    tfactor::Real=0.15,
+    tangents::Tuple{#
+        Tuple{<:Real, <:Real},
+        Tuple{<:Real, <:Real}
+    } = ((1,0),(0,1)),
+    show_all::Bool=false

      )

      Plot cycle-history Markov chain from transition probability matrix T rooted on state/node I.

      T is a right stochastic transition probability matrix with rows summing to one.

      I is a state in 1:size(T,1).

      node_label_textsize is the text size of the node labels indexed from T.

      edge_label_textsize is the text size of the edge labels taken from T.

      arrow_shift is the percentage shift of the arrow head from src to dst.

      x_pad is the left/right x coordinate padding of the plotting box.

      y_pad is the up/down y coordinate padding of the plotting box.

      tfactor scales the distance of the bezier control point relative to the distance of the src and dst nodes.

      tangents is the tangent of the src vertex and dst vertex.

      show_all=true explicitly plots the upstream transition from all EFMs that pass through the initial state/node I. By default, these arrows stemming from the green nodes are omitted for visual clarity.

      source

      Index

        diff --git a/v2.0.2/library/chmc-standard/index.html b/v2.0.2/library/chmc-standard/index.html new file mode 100644 index 0000000..714eaff --- /dev/null +++ b/v2.0.2/library/chmc-standard/index.html @@ -0,0 +1,148 @@ + +CHMC · MarkovWeightedEFMs.jl
        GitHub

        CHMC

        Public functions

        MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution — Function
        steady_state_efm_distribution(#
+    S::Matrix{<:Integer},
+    v::Vector{<:Real},
+    I::Int64 = 1;
+    solver = nothing,
+    issparse::Bool = false
+)

        Enumerate the EFMs from stoichiometry matrix S and compute the steady state probabilities of each EFM according to the discrete-time, cycle-history Markov chain.

        S is a fully-connected, unimolecular, m by n stoichiometry matrix with m metabolites and n reactions.

        v is the n-length steady state flux vector associated with S.

        I is the initial starting state for rooting the cycle-history Markov chain. The choice of initial starting state does not affect the steady state EFM probabilities. The default is 1 and must be a whole number between 1:m.

        solver is the type used for eigenvector calculations. Default is nothing and LinearSolve will pick the best solver. Consult LinearSolve.jl for specifying other solvers.

        issparse is true will use a sparse transition probability for the CHMC to save memory.

        Example

        julia> S = [#
+ -1  0  0  0  0  0  0  0  0  0  1
+  1 -1  1 -1  0  0  0  0  0  0  0
+  0  1 -1  0 -1  1  0  0  0  0  0
+  0  0  0  1  0  0 -1  0  0  0  0
+  0  0  0  0  1 -1  1 -1  1 -1  0
+  0  0  0  0  0  0  0  0  0  1 -1
+  0  0  0  0  0  0  0  1 -1  0  0
+];
+julia> v = [3, 2, 1, 2, 3, 2, 2, 1, 1, 3, 3];
+julia> res = steady_state_efm_distribution(S, v);
+julia> res.e # EFM state sequences
+6-element Vector{Vector{Int64}}:
+ [3, 2, 3]
+ [3, 2, 4, 5, 3]
+ [3, 5, 3]
+ [6, 1, 2, 4, 5, 6]
+ [7, 5, 7]
+ [6, 1, 2, 3, 5, 6]
+
+julia> res.p # EFM probabilities
+6-element Vector{Float64}:
+ 0.10638297872340426
+ 0.0425531914893617
+ 0.25531914893617025
+ 0.1914893617021277
+ 0.14893617021276595
+ 0.25531914893617025
+
+julia> res.w # EFM weights
+6-element Vector{Float64}:
+ 0.7142857142857142
+ 0.2857142857142857
+ 1.7142857142857144
+ 1.2857142857142858
+ 0.9999999999999999
+ 1.7142857142857144
        source
        MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution — Function
        steady_state_efm_distribution(#
+    T::Union{Matrix{<:Real}, SparseMatrixCSC{Float64, Int64}},
+    I::Int64 = 1;
+    solver = nothing,
+    verbose::Bool = true
+)

        Enumerate the EFMs from (right) transition probability matrix T whose rows sum to one, and compute the steady state probabilities of each EFM according to the discrete-time, cycle-history Markov chain.

        T is the discrete-time transition probability matrix with probabilities proportional to the outgoing fluxes.

        I is the initial starting state for rooting the cycle-history Markov chain. The choice of initial starting state does not affect the steady state EFM probabilities. The default is 1 and must be a whole number between 1:m.

        solver is the type used for eigenvector calculations. Default is nothing and LinearSolve will pick the best solver. Consult LinearSolve.jl for specifying other solvers.

        Example

        julia> T = [#
+  0.0  1.0   0.0       0.0  0.0   0.0  0.0
+  0.0  0.0   0.5       0.5  0.0   0.0  0.0
+  0.0  0.25  0.0       0.0  0.75  0.0  0.0
+  0.0  0.0   0.0       0.0  1.0   0.0  0.0
+  0.0  0.0   0.333333  0.0  0.0   0.5  0.166667
+  1.0  0.0   0.0       0.0  0.0   0.0  0.0
+  0.0  0.0   0.0       0.0  1.0   0.0  0.0
+];
+julia> res = steady_state_efm_distribution(T);
+julia> res.e # EFM state sequences
+6-element Vector{Vector{Int64}}:
+ [3, 2, 3]
+ [3, 2, 4, 5, 3]
+ [3, 5, 3]
+ [6, 1, 2, 3, 5, 6]
+ [7, 5, 7]
+ [6, 1, 2, 4, 5, 6]
+
+julia> res.p # EFM probabilities
+6-element Vector{Float64}:
+ 0.13723110896294213
+ 0.035797649943428565
+ 0.26989203316869914
+ 0.20302350628312624
+ 0.13926980198123254
+ 0.2147858996605714
        source
        MarkovWeightedEFMs.CHMC.Standard.stoichiometry_to_transition_matrix — Function
        stoichiometry_to_transition_matrix(S::Matrix{<:Integer}, v::Vector{<:Real})

        Convert stoichiometry matrix S with vector of steady state fluxes to a right stochastic transition probability matrix with rows summing to one.

        S is the m by n stoichiometry matrix with m metabolites and n reactions.

        v is the steady state flux vector with length n.

        Examples

        julia> S = [#
+  -1  0  0  0  0  0  0  0  0  0  1
+   1 -1  1 -1  0  0  0  0  0  0  0
+   0  1 -1  0 -1  1  0  0  0  0  0
+   0  0  0  1  0  0 -1  0  0  0  0
+   0  0  0  0  1 -1  1 -1 -1  1  0
+   0  0  0  0  0  0  0  1  0  0 -1
+   0  0  0  0  0  0  0  0  1 -1  0
+]
+julia> v = [2, 2, 2, 2, 2, 2, 2, 2, 4]
+julia> stoich_to_transition(S, v)
+7x7 Matrix{Float64}:
+ 0.0  1.0   0.0       0.0  0.0   0.0  0.0
+ 0.0  0.0   0.5       0.5  0.0   0.0  0.0
+ 0.0  0.25  0.0       0.0  0.75  0.0  0.0
+ 0.0  0.0   0.0       0.0  1.0   0.0  0.0
+ 0.0  0.0   0.333333  0.0  0.0   0.5 0.166667
+ 1.0  0.0   0.0       0.0  0.0   0.0  0.0
+ 0.0  0.0   0.0       0.0  1.0   0.0  0.0
        source
        MarkovWeightedEFMs.CHMC.Standard.reshape_efm_matrix — Function
        reshape_efm_matrix(ϕ::Matrix{Int64}, S::Matrix{<:Real})

        Convert a matrix of EFMs ϕ to a nested vector of EFMs from a stoichiometry matrix S. Stoichiometry matrix may only contain unimolecular reactions.

        ϕ is the n by k EFM matrix with n reactions (rows) and k EFMs (cols).

        S is the m by n stoichiometry matrix with m metabolites (rows) and n reactions (cols).

        Examples

        julia> ϕ = [#
+  1  1  0  0  0  0
+  1  0  1  0  0  0
+  0  0  1  0  0  1
+  0  1  0  0  0  1
+  1  0  0  1  0  0
+  0  0  0  1  0  1
+  0  1  0  0  0  1
+  1  1  0  0  0  0
+  0  0  0  0  1  0
+  0  0  0  0  1  0
+  1  1  0  0  0  0
+]
+julia> S = [#
+  -1  0  0  0  0  0  0  0  0  0  1
+   1 -1  1 -1  0  0  0  0  0  0  0
+   0  1 -1  0 -1  1  0  0  0  0  0
+   0  0  0  1  0  0 -1  0  0  0  0
+   0  0  0  0  1 -1  1 -1 -1  1  0
+   0  0  0  0  0  0  0  1  0  0 -1
+   0  0  0  0  0  0  0  0  1 -1  0
+]
+julia> efm_vector = reshape_efm_matrix(ϕ, S)
+6-element Vector{Vector{Int64}}:
+ [1, 2, 3, 5, 6, 1]
+ [1, 2, 4, 5, 6, 1]
+ [2, 3, 2]
+ [3, 5, 3]
+ [5, 7, 5]
+ [3, 2, 4, 5, 3]
        source
        MarkovWeightedEFMs.CHMC.Standard.reshape_efm_vector — Function
        reshape_efm_vector(ϕ::Vector{Vector{Int64}}, S::Matrix{<:Real})

        Convert nested vector of EFM indices ϕ with length k to an n by k matrix of EFMs based on m by n stoichiometry matrix S. Stoichiometry matrix may only contain unimolecular reactions.

        ϕ is the nested vector of EFMs with length k and elements corresponding to EFM metabolite indices in S.

        S is the m by n stoichiometry matrix with m metabolites (rows) and n reactions (cols).

        Examples

        julia> ϕ = [#
+  [1, 2, 3, 5, 6, 1],
+  [1, 2, 4, 5, 6, 1],
+  [2, 3, 2], [3, 5, 3], [5, 7, 5], [2, 4, 5, 3, 2]
+]
+julia> S = [#
+  -1  0  0  0  0  0  0  0  0  0  1
+   1 -1  1 -1  0  0  0  0  0  0  0
+   0  1 -1  0 -1  1  0  0  0  0  0
+   0  0  0  1  0  0 -1  0  0  0  0
+   0  0  0  0  1 -1  1 -1 -1  1  0
+   0  0  0  0  0  0  0  1  0  0 -1
+   0  0  0  0  0  0  0  0  1 -1  0
+]
+julia> efm_matrix = reshape_efm_vector(ϕ, S)
+11x6 Matrix{Int64}:
+ 1  1  0  0  0  0
+ 1  0  1  0  0  0
+ 0  0  1  0  0  1
+ 0  1  0  0  0  1
+ 1  0  0  1  0  0
+ 0  0  0  1  0  1
+ 0  1  0  0  0  1
+ 1  1  0  0  0  0
+ 0  0  0  0  1  0
+ 0  0  0  0  1  0
+ 1  1  0  0  0  0
        source

        Index

        diff --git a/v2.0.2/objects.inv b/v2.0.2/objects.inv new file mode 100644 index 0000000000000000000000000000000000000000..d4b65320e5902344fb7525f2ed8c72d8a7d5cebf GIT binary patch literal 1918 zcmV-^2Z8t_AX9K?X>NERX>N99Zgg*Qc_4OWa&u{KZXhxWBOp+6Z)#;@bUGkSVRCD4 zc2{L-XJ~X~WJN|zb1rIZ3L_v^WpZMd?av*PJ zAarPHb0B7EY-J#6b0A}HZE$jBb8}^6Aa!$TZf78RY-wUH3V58oSY2=1HWYo=uOQGF zNP#lml40H2y*O#w1z5Hq*}A<6v_#u%B+?_PG+xpFzI#c1P_|?%jBajibNnfbgfy0A8M8vkarh(L+q-B?K5%P= zoWp9S0k(~|T-k+^H04VU=Ey{F(+k_Nc1$iFSYpYwdqr9>Go{JR-@je4<&x{j7FKD& zGBZvVc|rkJrc9?a=ax-XCK4*S{jBs|i+}j8F**O`>YN)2 zhU+Unj6?NogNa#{gN^g7NR;7QDB26hWa7cmg%iw!x8$EfBzG=^J6LD|5zy2wI9(`} z4klgO*JXoSL0|>J6`>tdB{Hs;kSLtO209hAmqy+cCRw&J z!VonhXX3*LlEeGVM46asrdRD?g~Xi;d;r^&%-~m0w0x%&5lqb#-4%1?Vi0#~RG||dMk8T*y2b5V4&3&(qpDmBRK!ySQ6ME%6x2P% zx_7`XeQ8zqn6v0CpTYZCw}-qq8;-)1@6Cj5RpMYEMB!5mRaYCi-t4sAAK=g09c?4} z2LL#AUwcNp`rOe+VG5Rse=$k0eoE)3t}c1HS2-ekfa{t^>Ftzw+@R*Xt2dkbK!b;-J|bX1&V4|s6^UFkTQ5ZmpRnKKGQ=tNnrjaO-JpE zYS^d*-)|y;ZP6qczYZk>lVH9Iir-xrX6VRODA(6pmw zgWKw(8e4aPHfY_&8QzW07d*K`N0q7#4$wtn3(cPv#|pO^5lD@TGJ4N-JzG<&>c)U0 zYZL0n4o(fQFI=nYzJWt(01SGhpvUI^iib75f0Ki8(Swm1Ec#U>T$--f|6W+gm`5Ir zM#FkP-Kn#@%3>v-M_~hkA=(<+1Bp>pt?2O6+{W-=O&5B`J7r*K)4&E^EXz&73~4K6Ln-&eq$4rD z=w#4ktC{q|4c*gf@vxs3*Pu>>8&Kjw!QWc*#5sKFYtulk9$eyT7E-Z*hdKmrt!j+r z%O`fpwX$-E(YtUs$b_+v4_*jC5CX;8;s7EfWLe&PM{iv@{2CIh=@KlgnPdMg@R&a= zm9{Y+G=}&kaEdq;ZsdUxoqWpP%nIp#lJ1X+eX1CeBtAf~-xA~Y*eOtKa;P42AR3YX z4`+eFFs_Ee7*fl9ggXrMoZFbs^0*NLe-_7O_ao+~ozR&K49%$+$GhLt@-WGWd8wYrQ9SM%xjWy_$Rll#tiG8~Lf95s? EjeG>9_y7O^ literal 0 HcmV?d00001 diff --git a/v2.0.2/search_index.js b/v2.0.2/search_index.js new file mode 100644 index 0000000..181c2f1 --- /dev/null +++ b/v2.0.2/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#ACHMC-(for-AEFMs;-under-the-hood)","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"This section explains the pre-processing steps under the hood of preprocess_all_for_atomic_chmc() using the same multispecies reaction network from the previous tutorial.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"(Image: Toy multispecies network)","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Bodge until I figure out how to install Python and RXMapper on Git workflows\nusing MarkovWeightedEFMs\nusing SparseArrays\n\nS = [#\n 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 # Glc\n 0 -1 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 # ATP\n 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 # G6P\n 0 1 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 # ADP\n 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 # 6PG\n 0 0 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 # F6P\n 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 # Pi\n 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 # H2O\n 0 0 0 0 0 1 -1 -1 0 0 0 0 0 0 0 0 # FDP\n 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 # G3P\n 0 0 0 0 0 0 0 1 1 -1 0 -1 0 0 0 0 # DHAP\n]\n\nv = [10, 10, 3, 3, 7, 8, 1, 7, 1, 1, 7, 7, 18, 18, 1, 1]\n\nmets = [#\n \"Glc\",\n \"ATP\",\n \"G6P\",\n \"ADP\",\n \"6PG\",\n \"F6P\",\n \"Pi\",\n \"H2O\",\n \"FDP\",\n \"G3P\",\n \"DHAP\"\n]\n\nrxns = [#\n \"Source Glc\",\n \"Hexokinase\",\n \"G6P dehydrogenase\",\n \"Sink 6PG\",\n \"Phosphoglucose isomerase\",\n \"6-phosphofructo-1-kinase\",\n \"Fructose 1,6-bisphosphatase\",\n \"Fructose-bisphosphate aldolase\",\n \"Triose phosphate isomerase\",\n \"Triose phosphate isomerase\",\n \"Sink G3P\",\n \"Sink DHAP\",\n \"Source ATP\",\n \"Sink ADP\",\n \"Sink Pi\",\n \"Source H2O\"\n]\n\nsmiles = [#\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)OP(=O)(O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\",\n \"C([C@H]([C@H]([C@@H](C(=O)CO)O)O)O)OP(=O)(O)O\",\n \"[O-]P(=O)([O-])[O-]\",\n \"O\",\n \"C(C1C(C(C(O1)(COP(=O)(O)O)O)O)O)OP(=O)(O)O\",\n \"C([C@H](C=O)O)OP(=O)(O)O\",\n \"C(C(=O)COP(=O)(O)O)O\"\n]\n\natom = :C # carbon atom type for AEFMs\n\nerrors = CHMCAtomicErrorSummary(#\n 0.0, #absolute_flux_error\n Vector{Int64}(), #reactions_duplicated\n Vector{Int64}(), #reactions_with_zero_flux\n Vector{Int64}(), #reactions_with_negative_flux\n Vector{Int64}(), #reactions_with_non_integer_stoichiometries\n Vector{Int64}([1, 13, 16]), #reactions_unimolecular_source_stoichiometry_one\n Vector{Int64}(), #reactions_unimolecular_source_stoichiometry_not_one\n Vector{Int64}(), #reactions_multimolecular_source_stoichiometry_one\n Vector{Int64}(), #reactions_multimolecular_source_stoichiometry_not_one\n Vector{Int64}([4, 11, 12, 14, 15]), #reactions_unimolecular_sink_stoichiometry_one\n Vector{Int64}(), #reactions_unimolecular_sink_stoichiometry_not_one\n Vector{Int64}(), #reactions_multimolecular_sink_stoichiometry_one\n Vector{Int64}(), #reactions_multimolecular_sink_stoichiometry_not_one\n Vector{Int64}(), #reactions_empty\n Vector{Int64}() #unused_metabolites\n)\n\nlogs = (#\n dropped_row_pseudometabolites = Int64[],\n dropped_cols_pseudometabolites = Int64[],\n dropped_cols_rxnmapper_limit = Int64[]\n)\nsmiles = [\n \"OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O\"\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\"\n \"O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O\"\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\"\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\"\n \"O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O\"\n \"O=P([O-])([O-])[O-]\"\n \"O\"\n \"O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O\"\n \"O=C[C@H](O)COP(=O)(O)O\"\n \"O=C(CO)COP(=O)(O)O\"\n]\n\nrs = [#\n \">>OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O\",\n \"OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O.Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O>>O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O.Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\",\n \"O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O>>O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\",\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O>>\",\n \"O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O>>O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O\",\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O.O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O>>Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O.O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O\",\n \"O.O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O>>O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O.O=P([O-])([O-])[O-]\",\n \"O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O>>O=C[C@H](O)COP(=O)(O)O.O=C(CO)COP(=O)(O)O\",\n \"O=C[C@H](O)COP(=O)(O)O>>O=C(CO)COP(=O)(O)O\",\n \"O=C(CO)COP(=O)(O)O>>O=C[C@H](O)COP(=O)(O)O\",\n \"O=C[C@H](O)COP(=O)(O)O>>\",\n \"O=C(CO)COP(=O)(O)O>>\",\n \">>Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\",\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O>>\",\n \"O=P([O-])([O-])[O-]>>\",\n \">>O\"\n]\n\nms = [#\n \"\",\n \"[OH:5][CH2:6][C@H:7]1[O:8][CH:9]([OH:10])[C@H:11]([OH:12])[C@@H:13]([OH:14])[C@@H:15]1[OH:16].[NH2:17][c:18]1[n:19][cH:20][n:21][c:22]2[c:23]1[n:24][cH:25][n:26]2[C@@H:27]1[O:28][C@H:29]([CH2:30][O:31][P:32](=[O:33])([OH:34])[O:35][P:36](=[O:37])([OH:38])[O:39][P:2](=[O:1])([OH:3])[OH:4])[C@@H:40]([OH:41])[C@H:42]1[OH:43]>>[O:1]=[P:2]([OH:3])([OH:4])[O:5][CH2:6][C@H:7]1[O:8][CH:9]([OH:10])[C@H:11]([OH:12])[C@@H:13]([OH:14])[C@@H:15]1[OH:16].[NH2:17][c:18]1[n:19][cH:20][n:21][c:22]2[c:23]1[n:24][cH:25][n:26]2[C@@H:27]1[O:28][C@H:29]([CH2:30][O:31][P:32](=[O:33])([OH:34])[O:35][P:36](=[O:37])([OH:38])[OH:39])[C@@H:40]([OH:41])[C@H:42]1[OH:43]\",\n \"[O:8]=[P:7]([OH:9])([OH:10])[O:6][CH2:5][C@H:4]1[O:3][CH:2]([OH:1])[C@H:15]([OH:16])[C@@H:13]([OH:14])[C@@H:11]1[OH:12]>>[O:1]=[C:2]1[O:3][C@H:4]([CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10])[C@@H:11]([OH:12])[C@H:13]([OH:14])[C@H:15]1[OH:16]\",\n \"\",\n \"[O:14]=[P:13]([OH:15])([OH:16])[O:12][CH2:11][C@H:9]1[O:10][CH:3]([OH:4])[C@H:2]([OH:1])[C@@H:5]([OH:6])[C@@H:7]1[OH:8]>>[O:1]=[C:2]([CH2:3][OH:4])[C@@H:5]([OH:6])[C@H:7]([OH:8])[C@H:9]([OH:10])[CH2:11][O:12][P:13](=[O:14])([OH:15])[OH:16]\",\n \"[NH2:1][c:2]1[n:3][cH:4][n:5][c:6]2[c:7]1[n:8][cH:9][n:10]2[C@@H:11]1[O:12][C@H:13]([CH2:14][O:15][P:16](=[O:17])([OH:18])[O:19][P:20](=[O:21])([OH:22])[O:23][P:29](=[O:28])([OH:30])[OH:31])[C@@H:24]([OH:25])[C@H:26]1[OH:27].[O:35]=[C:34]([CH2:33][OH:32])[C@@H:46]([OH:47])[C@H:44]([OH:45])[C@H:36]([OH:37])[CH2:38][O:39][P:40](=[O:41])([OH:42])[OH:43]>>[NH2:1][c:2]1[n:3][cH:4][n:5][c:6]2[c:7]1[n:8][cH:9][n:10]2[C@@H:11]1[O:12][C@H:13]([CH2:14][O:15][P:16](=[O:17])([OH:18])[O:19][P:20](=[O:21])([OH:22])[OH:23])[C@@H:24]([OH:25])[C@H:26]1[OH:27].[O:28]=[P:29]([OH:30])([OH:31])[O:32][CH2:33][CH:34]1[O:35][C:36]([OH:37])([CH2:38][O:39][P:40](=[O:41])([OH:42])[OH:43])[CH:44]([OH:45])[CH:46]1[OH:47]\",\n \"[OH2:20].[O:17]=[P:18]([OH:19])([OH:21])[O:4][CH2:3][CH:2]1[O:1][C:9]([OH:10])([CH2:11][O:12][P:13](=[O:14])([OH:15])[OH:16])[CH:7]([OH:8])[CH:5]1[OH:6]>>[O:1]=[C:2]([CH2:3][OH:4])[C@@H:5]([OH:6])[C@H:7]([OH:8])[C@H:9]([OH:10])[CH2:11][O:12][P:13](=[O:14])([OH:15])[OH:16].[O:17]=[P:18]([O-:19])([O-:20])[O-:21]\",\n \"[O:18]=[P:17]([OH:19])([OH:20])[O:1][CH2:2][CH:3]1[O:4][C:12]([OH:11])([CH2:13][O:14][P:7](=[O:8])([OH:9])[OH:10])[CH:15]([OH:16])[CH:5]1[OH:6]>>[O:1]=[CH:2][C@H:3]([OH:4])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10].[O:11]=[C:12]([CH2:13][OH:14])[CH2:15][O:16][P:17](=[O:18])([OH:19])[OH:20]\",\n \"[O:4]=[CH:3][C@H:2]([OH:1])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]>>[O:1]=[C:2]([CH2:3][OH:4])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]\",\n \"[O:1]=[C:2]([CH2:3][OH:4])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]>>[O:4]=[CH:3][C@H:2]([OH:1])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]\",\n \"\",\n \"\",\n \"\",\n \"\",\n \"\",\n \"\"\n]\n\natom_max = [6, 10, 6, 10, 6, 6, 0, 0, 6, 3, 3]\n\nks = [#\n (3, 2, 1, 3),\n (2, 2, 1, 6),\n (1, 2, 1, 2),\n (2, 5, 1, 2),\n (3, 3, 1, 5),\n (3, 4, 1, 5),\n (3, 6, 1, 3),\n (2, 6, 1, 6),\n (1, 6, 1, 2),\n (2, 7, 1, 6),\n (11, 3, 1, 10),\n (2, 9, 1, 2),\n (3, 1, 1, 5),\n (3, 2, 1, 5),\n (3, 5, 1, 3),\n (2, 5, 1, 6),\n (9, 3, 1, 7),\n (1, 5, 1, 2),\n (9, 4, 1, 7),\n (11, 1, 1, 10),\n (6, 3, 1, 6),\n (9, 3, 1, 8),\n (6, 4, 1, 6),\n (9, 4, 1, 8),\n (2, 3, 1, 2),\n (11, 2, 1, 10),\n (2, 4, 1, 2),\n (3, 6, 1, 5),\n (9, 1, 1, 7),\n (6, 1, 1, 6),\n (9, 1, 1, 8),\n (2, 9, 1, 6),\n (9, 2, 1, 7),\n (2, 1, 1, 2),\n (6, 2, 1, 6),\n (9, 2, 1, 8),\n (2, 8, 1, 2),\n (2, 10, 1, 2),\n (2, 2, 1, 2),\n (3, 5, 1, 5),\n (9, 6, 1, 7),\n (10, 3, 1, 9),\n (6, 6, 1, 6),\n (3, 3, 1, 3),\n (2, 3, 1, 6),\n (9, 6, 1, 8),\n (1, 3, 1, 2),\n (3, 4, 1, 3),\n (2, 4, 1, 6),\n (1, 4, 1, 2),\n (2, 6, 1, 2),\n (2, 7, 1, 2),\n (10, 1, 1, 9),\n (3, 1, 1, 3),\n (2, 1, 1, 6),\n (9, 5, 1, 7),\n (1, 1, 1, 2),\n (6, 5, 1, 6),\n (2, 8, 1, 6),\n (9, 5, 1, 8),\n (2, 10, 1, 6),\n (10, 2, 1, 9)\n]\n\nvs = [#\n (5, 2),\n (4, 2),\n (3, 2),\n (4, 5),\n (6, 2),\n (6, 1),\n (5, 4),\n (4, 6),\n (3, 6),\n (4, 7),\n (10, 3),\n (4, 9),\n (6, 6),\n (6, 5),\n (5, 5),\n (4, 5),\n (6, 5),\n (3, 5),\n (6, 6),\n (10, 2),\n (9, 6),\n (11, 1),\n (9, 5),\n (11, 2),\n (4, 3),\n (10, 1),\n (4, 4),\n (6, 4),\n (6, 2),\n (9, 2),\n (10, 1),\n (4, 9),\n (6, 1),\n (4, 1),\n (9, 1),\n (10, 2),\n (4, 8),\n (4, 10),\n (4, 2),\n (6, 3),\n (6, 3),\n (11, 3),\n (9, 4),\n (5, 1),\n (4, 3),\n (10, 3),\n (3, 3),\n (5, 6),\n (4, 4),\n (3, 4),\n (4, 6),\n (4, 7),\n (11, 2),\n (5, 3),\n (4, 1),\n (6, 4),\n (3, 1),\n (9, 3),\n (4, 8),\n (11, 3),\n (4, 10),\n (11, 1)\n]\n\nD_C = Dict(zip(ks, vs))\n\nsrc_mets = [1, 2, 8]\nmax_src_mets_carbon = [6, 10, 0]\n\nI = (src_mets[1], 1, atom)\n\nks = Int16.([5, 4, 6, 7, 2, 8, 3, 1])\nvs = [(Int16(6), Int16(6)), (Int16(0), Int16(0)), (Int16(9), Int16(4)), (Int16(11), Int16(2)), (Int16(3), Int16(1)), (Int16(10), Int16(1)), (Int16(5), Int16(3)), (Int16(1), Int16(1))]\ndmc = Dict(zip(ks, vs))\n\nks = [#\n Int16.([1, 2, 5, 6, 7]),\n Int16.([1, 2, 5, 6]),\n Int16.([1, 2, 5, 6, 7, 4]),\n Int16.([1]),\n Int16.([1, 2, 3]),\n Int16.([1, 2, 3, 4]),\n Int16.([1, 2]),\n Int16.([1, 2, 5]),\n Int16.([1, 2, 5, 6, 7, 8]),\n Int16.([1, 2, 5, 6, 7, 8, 4])\n]\nvs = [#\n (id = 7, children = Int16.([8])),\n (id = 6, children = Int16.([7])),\n (id = 8, children = Int16.([])),\n (id = 1, children = Int16.([2])),\n (id = 3, children = Int16.([])),\n (id = 4, children = Int16.([])),\n (id = 2, children = Int16.([3, 5])),\n (id = 5, children = Int16.([6])),\n (id = 9, children = Int16.([])),\n (id = 10, children = Int16.([]))\n]\ndchmc = Dict(zip(ks, vs))\n\nT = SparseMatrixCSC([\n 0 1.0 0 0 0 0 0 0 0 0\n 0 0 0.3 0 0.7 0 0 0 0 0\n 0 0 0 1.0 0 0 0 0 0 0\n 1.0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 1.0 0 0 0 0\n 0 0 0 0 0.125 0 0.875 0 0 0\n 0 0 0 0 0 0 0 0.875 0.125 0\n 1.0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0.125 0 0 0.875\n 1.0 0 0 0 0 0 0 0 0 0\n])\n\nR = [#\n (i = 1, j = 2, k = Int16(2)),\n (i = 2, j = 3, k = Int16(3)),\n (i = 2, j = 5, k = Int16(5)),\n (i = 3, j = 4, k = Int16(4)),\n (i = 4, j = 1, k = Int16(4)),\n (i = 5, j = 6, k = Int16(6)),\n (i = 6, j = 5, k = Int16(7)),\n (i = 6, j = 7, k = Int16(8)),\n (i = 7, j = 8, k = Int16(12)),\n (i = 8, j = 1, k = Int16(12)),\n (i = 7, j = 9, k = Int16(10)),\n (i = 9, j = 10, k = Int16(11)),\n (i = 10, j = 1, k = Int16(11)),\n (i = 9, j = 7, k = Int16(9))\n]\n\nres = CHMCAtomicSummary(#\n (1, 1, :C),\n [#\n (EFM = [6, 5, 6], Closures = [(6, 5)]),\n (EFM = [4, 1, 2, 5, 6, 7, 4], Closures = [(8, 1)]),\n (EFM = [4, 1, 2, 3, 4], Closures = [(4, 1)]),\n (EFM = [8, 7, 8], Closures = [(9, 7)]),\n (EFM = [4, 1, 2, 5, 6, 7, 8, 4], Closures = [(10, 1)])\n ],\n [0.09000000000000001, 0.56, 0.27, 0.01, 0.07],\n [1.0, 6.222222222222222, 3.0, 0.11111111111111112, 0.7777777777777778],\n dmc,\n dchmc,\n T,\n R\n)\n\nT = SparseMatrixCSC([\n 0 1.0 0 0 0 0 0 0 0 0\n 0 0 0.5 0 0.5 0 0 0 0 0\n 0 0 0 1.0 0 0 0 0 0 0\n 1.0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 1.0 0 0 0 0\n 0 0 0 0 0.5 0 0.5 0 0 0\n 0 0 0 0 0 0 0 0.5 0.5 0\n 1.0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0.5 0 0 0.5\n 1.0 0 0 0 0 0 0 0 0 0\n])\n\nres_enum = CHMCAtomicSummary(#\n (1, 1, :C),\n [#\n (EFM = [6, 5, 6], Closures = [(6, 5)]),\n (EFM = [4, 1, 2, 5, 6, 7, 4], Closures = [(8, 1)]),\n (EFM = [4, 1, 2, 3, 4], Closures = [(4, 1)]),\n (EFM = [8, 7, 8], Closures = [(9, 7)]),\n (EFM = [4, 1, 2, 5, 6, 7, 8, 4], Closures = [(10, 1)])\n ],\n nothing,\n nothing,\n dmc,\n dchmc,\n T,\n R\n)\n\nefm_seq_1 = [\"FDP\", \"F6P\", \"FDP\"]\nefm_seq_2 = [\"Glc\", \"G6P\", \"F6P\", \"FDP\", \"DHAP\"]","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Inputs","page":"ACHMC (for AEFMs; under the hood)","title":"Inputs","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"using MarkovWeightedEFMs\nS = [#\n 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 # Glc\n 0 -1 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 # ATP\n 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 # G6P\n 0 1 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 # ADP\n 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 # 6PG\n 0 0 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 # F6P\n 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 # Pi\n 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 # H2O\n 0 0 0 0 0 1 -1 -1 0 0 0 0 0 0 0 0 # FDP\n 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 # G3P\n 0 0 0 0 0 0 0 1 1 -1 0 -1 0 0 0 0 # DHAP\n]\n\nv = [10, 10, 3, 3, 7, 8, 1, 7, 1, 1, 7, 7, 18, 18, 1, 1]\n\nmets = [#\n \"Glc\",\n \"ATP\",\n \"G6P\",\n \"ADP\",\n \"6PG\",\n \"F6P\",\n \"Pi\",\n \"H2O\",\n \"FDP\",\n \"G3P\",\n \"DHAP\"\n]\n\nrxns = [#\n \"Source Glc\",\n \"Hexokinase\",\n \"G6P dehydrogenase\",\n \"Sink 6PG\",\n \"Phosphoglucose isomerase\",\n \"6-phosphofructo-1-kinase\",\n \"Fructose 1,6-bisphosphatase\",\n \"Fructose-bisphosphate aldolase\",\n \"Triose phosphate isomerase\",\n \"Triose phosphate isomerase\",\n \"Sink G3P\",\n \"Sink DHAP\",\n \"Source ATP\",\n \"Sink ADP\",\n \"Sink Pi\",\n \"Source H2O\"\n]\n\nsmiles = [#\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)OP(=O)(O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\",\n \"C([C@H]([C@H]([C@@H](C(=O)CO)O)O)O)OP(=O)(O)O\",\n \"[O-]P(=O)([O-])[O-]\",\n \"O\",\n \"C(C1C(C(C(O1)(COP(=O)(O)O)O)O)O)OP(=O)(O)O\",\n \"C([C@H](C=O)O)OP(=O)(O)O\",\n \"C(C(=O)COP(=O)(O)O)O\"\n]\n\natom = :C # carbon atom type for AEFMs","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"We can check that the flux vector satisfies the steady state requirements.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"all(S * v .== 0) # should evaluate as true","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Pre-processing-steps","page":"ACHMC (for AEFMs; under the hood)","title":"Pre-processing steps","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Checking-network-structure","page":"ACHMC (for AEFMs; under the hood)","title":"Checking network structure","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"The following functions check for issues with the inputs. The first function find_atomic_chmc_input_errors identifies possible problems with the stoichiometry matrix and flux vector.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Confirm there are no issues with stoichiometry matrix\nerrors = find_atomic_chmc_input_errors(S, v)","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"print(errors) # summary of errors associated with S/v","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Correcting-problems-in-network-structure","page":"ACHMC (for AEFMs; under the hood)","title":"Correcting problems in network structure","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"Any problems, except for the steady state flux requirement, can be addressed via correct_atomic_chmc_input_errors. ","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# S and v have no errors so the inputs are returned\ncorrect_atomic_chmc_input_errors(errors, S, mets, rxns)\n# S, mets, rxns = correct_atomic_chmc_input_errors(errors, S, mets, rxns) # otherwise","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Identifying-unmappable-reactions","page":"ACHMC (for AEFMs; under the hood)","title":"Identifying unmappable reactions","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"The next function correct_atomic_chmc_input_smiles checks and fixes problems relating to the SMILES strings. These problems are caused by RXNMapper being unable to map atoms in reactions with pseudometabolites or pseudoreactions with non-integer stoichiometries (e.g. biomass reaction). RXNMapper also has a character limit on reaction SMILES strings. These unmappable reactions are removed and the flux is balanced with unimolecular flux entering/exiting the associated reaction substrates/products.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Correct issues associated with RXNMapper character limit,\n# pseudometabolites and pseudoreactions\nS, v, mets, rxns, smiles, logs = correct_atomic_chmc_input_smiles(S, v, mets, rxns, smiles)","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"At this point, the SMILES strings (matching the updated mets if there were errors in the initial inputs) should be canonicalized. S is also converted to a Matrix{Int16} which is a requirement for subsequent functions.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"smiles = canonicalize_smiles(smiles)","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"smiles","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Atom-mapping-reactions","page":"ACHMC (for AEFMs; under the hood)","title":"Atom mapping reactions","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"The reaction SMILES strings rs are next constructed from the metabolite SMILES and the atom mapping is performed via RXNMapper and stored in ms.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Construct atom traced SMILES strings\nrs, ms = map_reaction_strings(S, smiles, rxns, false)","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"rs","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"ms","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Identifying-all-source-metabolite-atom-positions","page":"ACHMC (for AEFMs; under the hood)","title":"Identifying all source metabolite-atom positions","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"The following code extracts the source metabolite indices in mets and computes the total number of carbon atoms of interest.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Total number of atom type across all metabolites\natom_max = get_max_atoms(smiles, atom)\n\n# Identify source metabolite indices and copies of atom\nsrc_mets = get_source_metabolites(S)\n\n# Number of carbon atoms in each source metabolite\nmax_src_mets_carbon = atom_max[src_mets]","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Source metabolites\nmets[src_mets]","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Carbons in each source metabolite\nmax_src_mets_carbon","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Enumerating-metabolite-atom-mappings-across-reactions","page":"ACHMC (for AEFMs; under the hood)","title":"Enumerating metabolite-atom mappings across reactions","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"We then precompute an atom tracing dictionary mapping the (carbon) atom in the stoichiometric copy of a substrate to its product atom position across each reaction.","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"# Precompute atom tracing dictionary\nD_C = precompute_atom_tracing_dictionary(S, ms, atom_max, atom) # S must be Matrix{Int16}","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"D_C","category":"page"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/#Conclusion","page":"ACHMC (for AEFMs; under the hood)","title":"Conclusion","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose-under-the-hood/","page":"ACHMC (for AEFMs; under the hood)","title":"ACHMC (for AEFMs; under the hood)","text":"All of the code/functions described above are wrapped into preprocess_all_for_atomic_chmc(). If this wrapper function fails, you may need to step through these individual pre-processing functions to identify the error.","category":"page"},{"location":"library/chmc-plots-standard/#Plotting-(CHMC)","page":"Plotting (CHMC)","title":"Plotting (CHMC)","text":"","category":"section"},{"location":"library/chmc-plots-standard/#CHMC","page":"Plotting (CHMC)","title":"CHMC","text":"","category":"section"},{"location":"library/chmc-plots-standard/","page":"Plotting (CHMC)","title":"Plotting (CHMC)","text":"plot_chmc","category":"page"},{"location":"library/chmc-plots-standard/#MarkovWeightedEFMs.Plots.plot_chmc","page":"Plotting (CHMC)","title":"MarkovWeightedEFMs.Plots.plot_chmc","text":"function plot_chmc(#\n T::Matrix{<:Real},\n I::Int64=1;\n node_label_textsize::Real=15,\n edge_label_textsize::Real=12,\n arrow_shift::Real=0.85,\n x_pad::Real=0.75,\n y_pad::Real=0.75,\n tfactor::Real=0.15,\n tangents::Tuple{#\n Tuple{<:Real, <:Real},\n Tuple{<:Real, <:Real}\n } = ((1,0),(0,1)),\n show_all::Bool=false\n\n)\n\nPlot cycle-history Markov chain from transition probability matrix T rooted on state/node I.\n\nT is a right stochastic transition probability matrix with rows summing to one.\n\nI is a state in 1:size(T,1).\n\nnode_label_textsize is the text size of the node labels indexed from T.\n\nedge_label_textsize is the text size of the edge labels taken from T.\n\narrow_shift is the percentage shift of the arrow head from src to dst.\n\nx_pad is the left/right x coordinate padding of the plotting box.\n\ny_pad is the up/down y coordinate padding of the plotting box.\n\ntfactor scales the distance of the bezier control point relative to the distance of the src and dst nodes.\n\ntangents is the tangent of the src vertex and dst vertex.\n\nshow_all=true explicitly plots the upstream transition from all EFMs that pass through the initial state/node I. By default, these arrows stemming from the green nodes are omitted for visual clarity.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-plots-standard/#Index","page":"Plotting (CHMC)","title":"Index","text":"","category":"section"},{"location":"library/chmc-plots-standard/","page":"Plotting (CHMC)","title":"Plotting (CHMC)","text":"Pages = [\"chmc-plots.md\"]","category":"page"},{"location":"installation/installation/#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"To install this package, open a julia session and enter:","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"julia> ]\n(@v1.10) pkg> add https://github.com/jchitpin/MarkovWeightedEFMs.jl.git","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"Alternatively, you can load Pkg and install by:","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"julia> using Pkg\njulia> Pkg.add(\"https://github.com/jchitpin/MarkovWeightedEFMs.jl.git\")","category":"page"},{"location":"installation/installation/#Python-dependencies-for-AEFM-analysis","page":"Getting started","title":"Python dependencies for AEFM analysis","text":"","category":"section"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"AEFM-specific analyses depend on the atom mapping program RXNMapper. This package must be installed and built with PyCall.jl after installing MarkovWeightedEFMs.jl. Tested to work with python version 3.10 and 3.11","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"This can be done by creating a python virtual environment, installing RXNMapper, and setting the PYTHON environment variable to the python executable in the virtual environment.","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"$ pip install virtualenv\n$ virtualenv --python=\"/usr/bin/python3.10\" \"virtualenv\" # name of virtual environment\n$ source virtualenv/bin/activate\n(virtualenv) $ pip install rxnmapper\n(virtualenv) $ pip install rdkit\n(virtualenv) $ pip install requests\n(virtualenv) $ pip install tdqm\n(virtualenv) $ pip install bs4\n(virtualenv) $ pip install CTSgetPy\n(virtualenv) $ julia","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"julia> using Pkg, PyCall\njulia> ENV[\"PYTHON\"] = joinpath(ENV[\"VIRTUAL_ENV\"], \"bin\", \"python\")\njulia> Pkg.build(\"PyCall\")","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"Note PyCall.jl will need to be rebuilt whenever you update your Julia version. See PyCall.jl documentation for more options on setting up Python in Julia.","category":"page"},{"location":"installation/installation/","page":"Getting started","title":"Getting started","text":"See Exact Python dependencies for RXNMapper for more information.","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/#CHMC-(ion-channels)","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"","category":"section"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"This section demonstrates how to use the functions in MarkovWeightedEFMs.jl to analyze the steady state dynamics of the following ion channel with three possible binding sites reproduced from (Bicknell and Goodhill)[https://doi.org/10.1073/pnas.1604090113].","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"(Image: Markov chain model of IP3 receptor from Bicknell and Goodhill (https://doi.org/10.1073/pnas.1604090113))","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"using MarkovWeightedEFMs","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/#Markov-state-model-of-IP3-channel-activity","page":"CHMC (ion channels)","title":"Markov state model of IP3 channel activity","text":"","category":"section"},{"location":"tutorials/chmc-standard-ion-channels/#Rate-constants","page":"CHMC (ion channels)","title":"Rate constants","text":"","category":"section"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"using MarkovWeightedEFMs\n\n# Parameters\nc = 0.1 # Ca2+ (uM)\nI = 0.1 # IP3 (uM)\na1 = 50\na2 = 0.035\na4 = 3.5\na5 = 65\na6 = 25\na7 = 10\na8 = 0.035\na9 = 0.15\na10 = 1.25\na11 = 110\nb1 = 2.5\nb2 = 1.25\nb3 = 0.25\nb4 = 12.5\nb5 = 10\nb7 = 0.25\nb9 = 0.2\nb10 = 2.5\nb11 = 20\nK1 = b1 / a1\nK2 = b2 / a2\nK4 = b4 / a4\nK5 = b5 / a5\nK7 = b7 / a7\nK9 = b9 / a9\nK10 = b10 / a10\na3 = (b3 * K4) / (K1 * K2)\nb6 = (a6 * K5 * K7) / K1\nb8 = (a8 * K2 * K10) / K9\nnothing # hide","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/#Generator-and-transition-matrix","page":"CHMC (ion channels)","title":"Generator and transition matrix","text":"","category":"section"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"# Markov transition rate matrix\nQ = [#\n 0 c*a6 0 I*a7 0 0 0 0 0 0\n b6 0 c*a4 0 I*a1 0 0 0 0 0\n 0 b4 0 0 0 I*a3 0 0 0 0\n b7 0 0 0 c*a5 0 a9 0 0 0\n 0 b1 0 b5 0 c*a2 0 a9 0 a11\n 0 0 b3 0 b2 0 0 0 a10 0\n 0 0 0 b9 0 0 0 c*a5 0 0\n 0 0 0 0 b9 0 b5 0 c*a8 0\n 0 0 0 0 0 b10 0 b8 0 0\n 0 0 0 0 b11 0 0 0 0 0\n];\n\n# Markov transition probability matrix\nT = Q ./ sum(Q, dims=2)","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/#Enumerating-EFMs-and-computing-their-probabilities","page":"CHMC (ion channels)","title":"Enumerating EFMs and computing their probabilities","text":"","category":"section"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"The Markov state model contains 39 EFMs. If one were to simulate trajectories from this model for an infinite period of time and decompose these trajectories into simple cycles, the resulting frequencies would converge on the following EFM probabilities. For example, the active-inactive-active transition involving states 10-5-10 occurs ~83.8% of the time on average in this model.","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"res = steady_state_efm_distribution(T);\n\n# EFMs/simple cycles and their corresponding probabilities\nreduce(hcat, [res.e, res.p])","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/#Visualizing-the-CHMC","page":"CHMC (ion channels)","title":"Visualizing the CHMC","text":"","category":"section"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"The blue node represents state 1 and is the root of the tree. All green nodes return back to the blue node but these arrows are hidden to limit visual clutter.","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"using GLMakie\nGLMakie.activate!()\nplot_chmc(T, 1) # arbitrarily rooted on state 1","category":"page"},{"location":"tutorials/chmc-standard-ion-channels/","page":"CHMC (ion channels)","title":"CHMC (ion channels)","text":"(Image: )","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/#CHMC-(metabolic-networks)","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"","category":"section"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"This section demonstrates how to use the functions in MarkovWeightedEFMs.jl to analyze the following unimolecular reaction network.","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"(Image: Example unimolecular reaction network)","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"using MarkovWeightedEFMs","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/#Problem-statement","page":"CHMC (metabolic networks)","title":"Problem statement","text":"","category":"section"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"Given the metabolic network above, its steady state fluxes, and its elementary flux modes (EFMs), what is the set of EFM weights that reconstructs the observed network fluxes?","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/#Inputs","page":"CHMC (metabolic networks)","title":"Inputs","text":"","category":"section"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"For this type of problem, we require the following:","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"Stoichiometry matrix of unimolecular reactions (must be unimolecular and strongly-connected; either open or closed loop)\nSteady state fluxes along each reaction.","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"The network metabolites and reactions are typically encoded in an m by r stoichiometry matrix S. The steady state flux vector is stored as a separate vector.","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"using MarkovWeightedEFMs # load package\n\n# Stoichiometry matrix and flux vector for the example network\nS = [#\n -1 0 0 0 0 0 0 0 0 0 1\n 1 -1 1 -1 0 0 0 0 0 0 0\n 0 1 -1 0 -1 1 0 0 0 0 0\n 0 0 0 1 0 0 -1 0 0 0 0\n 0 0 0 0 1 -1 1 -1 -1 1 0\n 0 0 0 0 0 0 0 1 0 0 -1\n 0 0 0 0 0 0 0 0 1 -1 0\n]\nv = [3, 2, 1, 2, 3, 2, 2, 3, 1, 1, 3]\nnothing # hide","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"We can check that the flux vector satisfies the steady state requirements.","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"all(S * v .== 0) # should evaluate as true","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/#Solving-for-EFM-sequences,-probabilities,-and-weights","page":"CHMC (metabolic networks)","title":"Solving for EFM sequences, probabilities, and weights","text":"","category":"section"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"The following function applies our (discrete-time) cycle-history Markov chain (CHMC) method to compute the network EFMs, their steady state EFM probabilities, and weights. By default, the last parameter is 1 and can be omitted from the function. This parameter is the (arbitrary) initial state to root the CHMC. The choice of root state does not change the EFM probabilities or weights and is explained further in the section below.","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"res = steady_state_efm_distribution(S, v, 1)","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"The enumerated EFM sequences are","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"res.e","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"The corresponding EFM probabilities are","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"res.p","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"The corresponding EFM weights are","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"res.w","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"We can check that the EFM weights reconstruct the observed network fluxes","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"E = reshape_efm_vector(res.e, S) # matrix of EFM weights\nE * res.w ≈ v # passes","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"A binary EFM matrix with rows = # reactions and columns = # EFMs can be converted back to the array of EFM sequences by","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"reshape_efm_matrix(E, S)","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/#Visualizing-the-CHMC","page":"CHMC (metabolic networks)","title":"Visualizing the CHMC","text":"","category":"section"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"The following plotting function visualizes the CHMC rooted on a metabolite state (1 by default).","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"using GLMakie # Makie backend\nGLMakie.activate!()\nT = stoichiometry_to_transition_matrix(S, v)\nplot_chmc(T, 1) # the last parameter is the rooted metabolite index","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"(Image: )","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"If using the GLMakie backend, ensure OpenGL is installed on your machine and accessible by Julia. The GLMakie plot is interactive and allows users to drag nodes and zoom in/out. Otherwise, you could choose another backend such as CairoMakie to generate and save a static plot. A prettier, hand-coded version of the transformed network is shown below.","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"The blue node is the root of the tree and the green nodes indicate that there is an edge back up to the root. By default, these arrows are omitted to avoid cluttering the plot.","category":"page"},{"location":"tutorials/chmc-standard-metabolic-networks/","page":"CHMC (metabolic networks)","title":"CHMC (metabolic networks)","text":"(Image: )","category":"page"},{"location":"library/chmc-atomic/#Atomic-CHMC","page":"Atomic CHMC","title":"Atomic CHMC","text":"","category":"section"},{"location":"library/chmc-atomic/#Public-functions","page":"Atomic CHMC","title":"Public functions","text":"","category":"section"},{"location":"library/chmc-atomic/","page":"Atomic CHMC","title":"Atomic CHMC","text":"canonicalize_smiles\nfind_atomic_chmc_input_errors\ncorrect_atomic_chmc_input_errors\nprint(res::CHMCAtomicErrorSummary)\ncorrect_atomic_chmc_input_smiles\nexchange_atomic_chmc_input_metabolites\nget_source_metabolites\nget_max_atoms\nmap_reaction_strings\nprecompute_atom_tracing_dictionary\nMarkovWeightedEFMs.CHMC.Atomic.steady_state_efm_distribution(#\n S::Matrix{<:Integer},\n v::Vector{<:Real},\n ms::Vector{String},\n I::Tuple{Int64,Int64,Symbol};\n D::Dict{#\n NTuple{4,Int64},\n Tuple{Int64,Int64}\n }=Dict{NTuple{4,Int64}, Tuple{Int64,Int64}}(),\n tmp_dir::String=\"\"\n)\nget_efm_metabolite_atom_indices\nget_efm_reaction_atom_indices\nchmc_to_mc_matrix\nexport_atom_tracing_dictionary\nimport_atom_tracing_dictionary\npreprocess_all_for_atomic_chmc","category":"page"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.canonicalize_smiles","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.canonicalize_smiles","text":"canonicalize_smiles(m::Vector{String})\n\nCanonicalize input SMILES string m for RXNMapper mapping.\n\n\n\n\n\ncanonicalize_smiles(m::String)\n\nCanonicalize input SMILES string m for RXNMapper mapping.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.find_atomic_chmc_input_errors","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.find_atomic_chmc_input_errors","text":"find_atomic_chmc_input_errors(S::Matrix{<:Real}, v::Vector{<:Real})\n\nPerforms a series of checks on stoichiometry matrix S and steady state flux vector v to determine whether they meet the atomic CHMC requirements. Returns an CHMCAtomicErrorSummary structure that can be printed via print(res::CHMCAtomicErrorSummary).\n\n\n\n\n\nfind_atomic_chmc_input_errors(S::Matrix{<:Real})\n\nPerforms a series of checks on stoichiometry matrix S to determine whether they meet the atomic CHMC requirements for atomic EFM enumeration. Returns an CHMCAtomicErrorSummary structure that can be printed via print(res::CHMCAtomicErrorSummary).\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.correct_atomic_chmc_input_errors","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.correct_atomic_chmc_input_errors","text":"correct_atomic_chmc_input_errors(#\n res::CHMCAtomicErrorSummary,\n S::Matrix{<:Real},\n v::Vector{<:Real},\n mets::Vector{String},\n rxns::Vector{String}\n)\n\nCorrects all errors identified by find_atomic_chmc_input_errors except for the steady state flux requirement. Returns a corrected version of each input.\n\nS is the m by n stoichiometry matrix. v is the steady state flux vector of length n. mets is the vector of metabolite names of length m. rxns is the vector of reaction names of length n.\n\n\n\n\n\ncorrect_atomic_chmc_input_errors(#\n res::CHMCAtomicErrorSummary,\n S::Matrix{<:Real},\n mets::Vector{String},\n rxns::Vector{String}\n)\n\nCorrects all errors identified by find_atomic_chmc_input_errors except for the steady state flux requirement. Returns a corrected version of each input.\n\nS is the m by n stoichiometry matrix. mets is the vector of metabolite names of length m. rxns is the vector of reaction names of length n.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#Base.print-Tuple{CHMCAtomicErrorSummary}","page":"Atomic CHMC","title":"Base.print","text":"print(res::CHMCAtomicErrorSummary)\n\nWrite CHMCAtomicErrorSummary to stdout.\n\n\n\n\n\n","category":"method"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.correct_atomic_chmc_input_smiles","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.correct_atomic_chmc_input_smiles","text":"correct_atomic_chmc_input_smiles(#\n S::Matrix{<:Real},\n v::Vector{<:Real},\n mets::Vector{String},\n rxns::Vector{String},\n smiles::Vector{String},\n H::Bool=false\n)\n\nUpdates the inputs by (1) removing pseudometabolites and (2) reactions whose reaction strings exceed the RXNMapper character limit. Pseudometabolites are defined as either metabolites with no defined chemical structure/SMILES representation, or metabolites whose SMILES strings contain symbols absent from the periodic table (including metabolites with an R-group). Reactions that exceed the RXNMapper character limit are converted into unimolecular sources and sinks to maintain steady state flux. Returns the corrected inputs with a list of removed metabolites/reactions.\n\nS is the m by n stoichiometry matrix.\n\nv is the steady state flux vector of length n.\n\nmets is the vector of metabolite names of length m.\n\nrxns is the vector of reaction names of length n.\n\nsmiles is the vector of metabolite smiles matching mets.\n\nH = false will not check for hydrogen conservation in each reaction.\n\n\n\n\n\ncorrect_atomic_chmc_input_smiles(#\n S::Matrix{<:Real},\n mets::Vector{String},\n rxns::Vector{String},\n smiles::Vector{String},\n H::Bool=false\n)\n\nUpdates the inputs by (1) removing pseudometabolites and (2) reactions whose reaction strings exceed the RXNMapper character limit. Pseudometabolites are defined as either metabolites with no defined chemical structure/SMILES representation, or metabolites whose SMILES strings contain symbols absent from the periodic table (including metabolites with an R-group). Reactions that exceed the RXNMapper character limit are converted into unimolecular sources and sinks to maintain steady state flux. Returns the corrected inputs with a list of removed metabolites/reactions.\n\nS is the m by n stoichiometry matrix.\n\nmets is the vector of metabolite names of length m.\n\nrxns is the vector of reaction names of length n.\n\nsmiles is the vector of metabolite smiles matching mets.\n\nH = false will not check for hydrogen conservation in each reaction.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.exchange_atomic_chmc_input_metabolites","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.exchange_atomic_chmc_input_metabolites","text":"exchange_atomic_chmc_input_metabolites(#\n S::Matrix{<:Real},\n v::Vector{<:Real},\n mets::Vector{String},\n rxns::Vector{String},\n smiles::Vector{String},\n ii::Vector{Int64}\n)\n\nRemoves internal metabolites ii from the remaining inputs by converting each metabolite i ∈ ii into a pair of sink and source metabolites. Returns an updated copy of inputs S, v, mets, rxns, and smiles.\n\nS is the m by n stoichiometry matrix.\n\nv is the steady state flux vector of length n.\n\nmets is the vector of metabolite names of length m.\n\nrxns is the vector of reaction names of length n.\n\nsmiles is the vector of metabolite smiles matching mets.\n\nii is the vector of metabolite indices to exchange for pairs of sinks/sources.\n\n\n\n\n\nexchange_atomic_chmc_input_metabolites(#\n S::Matrix{<:Real},\n mets::Vector{String},\n rxns::Vector{String},\n smiles::Vector{String},\n ii::Vector{Int64}\n)\n\nRemoves internal metabolites ii from the remaining inputs by converting each metabolite i ∈ ii into a pair of sink and source metabolites. Returns an updated copy of inputs S, mets, rxns, and smiles.\n\nS is the m by n stoichiometry matrix.\n\nmets is the vector of metabolite names of length m.\n\nrxns is the vector of reaction names of length n.\n\nsmiles is the vector of metabolite smiles matching mets.\n\nii is the vector of metabolite indices to exchange for pairs of sinks/sources.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.get_source_metabolites","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.get_source_metabolites","text":"get_source_metabolites(S::Matrix{Int16})\n\nReturns a vector of all source metabolites in stoichiometry matrix S.\n\nS is the m by n stoichiometry matrix.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.get_max_atoms","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.get_max_atoms","text":"get_max_atoms(s::Vector{String}, a::Symbol)\n\nReturns the maximum number of atoms of type a for each SMILES string in s. Returns a vector of all source metabolites in stoichiometry matrix S.\n\ns is the vector of metabolite SMILES strings.\n\na is a periodic table element symbol.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.map_reaction_strings","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.map_reaction_strings","text":"map_reaction_strings(#\n S::Matrix{<:Real},\n smiles::Vector{String},\n rxns::Vector{String},\n H::Bool=false\n)\n\nConstructs reaction strings from the smiles and then returns the atom-mapped reaction strings via RXNMapper.\n\nS is the stoichiometry matrix.\n\nsmiles is the vector of SMILES strings for metabolites in S.\n\nrxns is the vector of reaction names in S.\n\nH = false will not check for hydrogen conservation in each reaction.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.precompute_atom_tracing_dictionary","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.precompute_atom_tracing_dictionary","text":"precompute_atom_tracing_dictionary(#\n S::Matrix{Int16},\n ms::Vector{String},\n amax::Vector{Int64},\n a::Symbol\n)\n\nPrecomputes a dictionary mapping each atom in a given substrate stoichiometric copy to its product atom across every reaction. The dictionary is used in steady_state_efm_distribution.\n\nS is the stoichiometry matrix.\n\nms is the vector of mapped reaction SMILES strings.\n\namax is the total number of atom a in each metabolite row of S.\n\na is a periodic table element symbol.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution-Tuple{Matrix{<:Integer}, Vector{<:Real}, Vector{String}, Tuple{Int64, Int64, Symbol}}","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution","text":"steady_state_efm_distribution(#\n S::Matrix{<:Integer},\n v::Vector{<:Real},\n ms::Vector{String},\n I::Tuple{Int64,Int64,Symbol},\n D::Dict{#\n NTuple{4,Int64},\n Tuple{Int64,Int64}\n } = Dict{NTuple{4,Int64}, Tuple{Int64,Int64}}();\n solver = nothing,\n verbose::Bool = true\n)\n\nEnumerates the atomic EFMs from stoichiometry matrix S and compute the steady state probabilities of each EFM according to the discrete-time, cycle-history Markov chain.\n\nS is a fully-connected, unimolecular, m by n stoichiometry matrix with m metabolites and n reactions.\n\nv is the n-length steady state flux vector associated with S.\n\nms is the vector of mapped reaction SMILES strings.\n\nI is a triplet of the metabolite row index in S, the atom index, and the atom index type. It is the initial starting state for rooting the cycle-history Markov chain.\n\nD is the precomputed dictionary from precompute_atom_tracing_dictionary.\n\nsolver is the type used for eigenvector calculations. Default is nothing and LinearSolve will pick the best solver. Consult LinearSolve.jl for specifying other solvers.\n\n\n\n\n\n","category":"method"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.get_efm_metabolite_atom_indices","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.get_efm_metabolite_atom_indices","text":"get_efm_metabolite_atom_indices(res::CHMCAtomicSummary, i::Int64)\n\nConverts the sequence of metabolite indices for atomic EFM index i into metabolite names. The length of the vector of metabolite names is one element shorter than res.e[i] because the pseudometabolite connecting sink and source reactions is omitted.\n\nres are the results from steady_state_efm_distribution.\n\ni is the index for a given EFM.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.get_efm_reaction_atom_indices","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.get_efm_reaction_atom_indices","text":"get_efm_reaction_indices(res::CHMCAtomicSummary, i::Int64)\n\nConverts the sequence of metabolite indices for atomic EFM index i into reaction names. \n\nres are the results from steady_state_efm_distribution.\n\ni is the index for a given EFM.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.chmc_to_mc_matrix","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.chmc_to_mc_matrix","text":"chmc_to_mc_matrix(res::CHMCAtomicSummary, v::Vector{<:Real})\n\nConverts CHMC transition matrix res.T to a Markov chain with probabilities taken from steady state flux vector v.\n\nres are the results from steady_state_efm_distribution.\n\nv is the steady state flux vector used as input from steady_state_efm_distribution.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.export_atom_tracing_dictionary","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.export_atom_tracing_dictionary","text":"export_atom_tracing_dictionary(#\n fname::String,\n D::Dict{NTuple{4, Int64}, Tuple{Int64, Int64}}\n)\n\nExport atom tracing dictionary D to text file fname.\n\nfname is the filename to write the atom tracing dictionary results.\n\nD is the dictionary from precompute_atom_tracing_dictionary.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.import_atom_tracing_dictionary","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.import_atom_tracing_dictionary","text":"import_atom_tracing_dictionary(fname::String)\n\nImport atomic tracing dictionary from text file fname.\n\nfname is the filename containing the atom tracing dictionary results.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#MarkovWeightedEFMs.CHMC.Atomic.preprocess_all_for_atomic_chmc","page":"Atomic CHMC","title":"MarkovWeightedEFMs.CHMC.Atomic.preprocess_all_for_atomic_chmc","text":"preprocess_all_for_atomic_chmc(#\n S::Matrix{<:Real},\n v::Vector{<:Real},\n mets::Vector{String},\n rxns::Vector{String},\n smiles::Vector{String},\n atom::Symbol\n)\n\nWrapper function to run pre-processing functions and return the updated model, atomic info, and error/warning logs.\n\nS is the m by n stoichiometry matrix. v is the steady state flux vector of length n. mets is the vector of metabolite names of length m. rxns is the vector of reaction names of length n. smiles is the vector of metabolite SMILES strings of length m. a is a periodic table element symbol.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-atomic/#Index","page":"Atomic CHMC","title":"Index","text":"","category":"section"},{"location":"library/chmc-atomic/","page":"Atomic CHMC","title":"Atomic CHMC","text":"Pages = [\"chmc-atomic.md\"]","category":"page"},{"location":"library/chmc-plots-atomic/#Plotting-(ACHMC)","page":"Plotting (ACHMC)","title":"Plotting (ACHMC)","text":"","category":"section"},{"location":"library/chmc-plots-atomic/#Atomic-CHMC","page":"Plotting (ACHMC)","title":"Atomic CHMC","text":"","category":"section"},{"location":"library/chmc-plots-atomic/","page":"Plotting (ACHMC)","title":"Plotting (ACHMC)","text":"plot_mapped_reaction\nplot_atomic_chmc","category":"page"},{"location":"library/chmc-plots-atomic/#MarkovWeightedEFMs.Plots.plot_mapped_reaction","page":"Plotting (ACHMC)","title":"MarkovWeightedEFMs.Plots.plot_mapped_reaction","text":"function plot_mapped_reaction(#\n s::String,\n fname::String = \"\";\n view::Bool = false,\n canvas_width::Int64 = 3000,\n canvas_height::Int64 = 1000\n\n)\n\nPlot mapped reaction SMILES string s as an SVG and save to fname if specified.\n\ncanvas_width is the width of the SVG.\n\ncanvas_height is the height of the SVG.\n\nview = true will plot the SVG assuming a plotting backend is specified. For example, loading the ElectronDisplay package will plot the SVG to an Electron window.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-plots-atomic/#MarkovWeightedEFMs.Plots.plot_atomic_chmc","page":"Plotting (ACHMC)","title":"MarkovWeightedEFMs.Plots.plot_atomic_chmc","text":"function plot_atomic_chmc(#\n res::CHMCAtomicSummary,\n S::Matrix{Int16},\n mets::Vector{String},\n rs::Vector{String};\n node_label_textsize::Real=15,\n edge_label_textsize::Real=12,\n arrow_shift::Real=0.85,\n x_pad::Real=0.75,\n y_pad::Real=0.75,\n tfactor::Real=0.15,\n tangents::Tuple{#\n Tuple{<:Real, <:Real},\n Tuple{<:Real, <:Real}\n } = ((1,0),(0,1)),\n show_all::Bool=false,\n width::Int64=620,\n height::Int64=310\n\n)\n\nPlot atomic cycle-history Markov chain.\n\nS is the m by n stoichiometry matrix.\n\nmets is the vector of metabolite names of length m.\n\nrs is the vector of reaction SMILES strings of length n.\n\nnode_label_textsize is the text size of the node labels indexed from T.\n\nedge_label_textsize is the text size of the edge labels taken from T.\n\narrow_shift is the percentage shift of the arrow head from src to dst.\n\nx_pad is the left/right x coordinate padding of the plotting box.\n\ny_pad is the up/down y coordinate padding of the plotting box.\n\ntfactor scales the distance of the bezier control point relative to the distance of the src and dst nodes.\n\ntangents is the tangent of the src vertex and dst vertex.\n\nshow_all=true explicitly plots the upstream transition from all EFMs that pass through the initial state/node I. By default, these arrows stemming from the green nodes are omitted for visual clarity.\n\nwidth and height specify the plotting window dimensions in pixel units.\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-plots-atomic/#Index","page":"Plotting (ACHMC)","title":"Index","text":"","category":"section"},{"location":"library/chmc-plots-atomic/","page":"Plotting (ACHMC)","title":"Plotting (ACHMC)","text":"Pages = [\"chmc-plots.md\"]","category":"page"},{"location":"library/chmc-standard/#CHMC","page":"CHMC","title":"CHMC","text":"","category":"section"},{"location":"library/chmc-standard/#Public-functions","page":"CHMC","title":"Public functions","text":"","category":"section"},{"location":"library/chmc-standard/","page":"CHMC","title":"CHMC","text":"MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution(S::Matrix{<:Integer}, v::Vector{<:Real}, I::Int64=1)\nMarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution(T::Matrix{<:Real}, I::Int64=1)\nstoichiometry_to_transition_matrix\nreshape_efm_matrix\nreshape_efm_vector","category":"page"},{"location":"library/chmc-standard/#MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution","page":"CHMC","title":"MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution","text":"steady_state_efm_distribution(#\n S::Matrix{<:Integer},\n v::Vector{<:Real},\n I::Int64 = 1;\n solver = nothing,\n issparse::Bool = false\n)\n\nEnumerate the EFMs from stoichiometry matrix S and compute the steady state probabilities of each EFM according to the discrete-time, cycle-history Markov chain.\n\nS is a fully-connected, unimolecular, m by n stoichiometry matrix with m metabolites and n reactions.\n\nv is the n-length steady state flux vector associated with S.\n\nI is the initial starting state for rooting the cycle-history Markov chain. The choice of initial starting state does not affect the steady state EFM probabilities. The default is 1 and must be a whole number between 1:m.\n\nsolver is the type used for eigenvector calculations. Default is nothing and LinearSolve will pick the best solver. Consult LinearSolve.jl for specifying other solvers.\n\nissparse is true will use a sparse transition probability for the CHMC to save memory.\n\nExample\n\njulia> S = [#\n -1 0 0 0 0 0 0 0 0 0 1\n 1 -1 1 -1 0 0 0 0 0 0 0\n 0 1 -1 0 -1 1 0 0 0 0 0\n 0 0 0 1 0 0 -1 0 0 0 0\n 0 0 0 0 1 -1 1 -1 1 -1 0\n 0 0 0 0 0 0 0 0 0 1 -1\n 0 0 0 0 0 0 0 1 -1 0 0\n];\njulia> v = [3, 2, 1, 2, 3, 2, 2, 1, 1, 3, 3];\njulia> res = steady_state_efm_distribution(S, v);\njulia> res.e # EFM state sequences\n6-element Vector{Vector{Int64}}:\n [3, 2, 3]\n [3, 2, 4, 5, 3]\n [3, 5, 3]\n [6, 1, 2, 4, 5, 6]\n [7, 5, 7]\n [6, 1, 2, 3, 5, 6]\n\njulia> res.p # EFM probabilities\n6-element Vector{Float64}:\n 0.10638297872340426\n 0.0425531914893617\n 0.25531914893617025\n 0.1914893617021277\n 0.14893617021276595\n 0.25531914893617025\n\njulia> res.w # EFM weights\n6-element Vector{Float64}:\n 0.7142857142857142\n 0.2857142857142857\n 1.7142857142857144\n 1.2857142857142858\n 0.9999999999999999\n 1.7142857142857144\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-standard/#MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution-2","page":"CHMC","title":"MarkovWeightedEFMs.CHMC.Standard.steady_state_efm_distribution","text":"steady_state_efm_distribution(#\n T::Union{Matrix{<:Real}, SparseMatrixCSC{Float64, Int64}},\n I::Int64 = 1;\n solver = nothing,\n verbose::Bool = true\n)\n\nEnumerate the EFMs from (right) transition probability matrix T whose rows sum to one, and compute the steady state probabilities of each EFM according to the discrete-time, cycle-history Markov chain.\n\nT is the discrete-time transition probability matrix with probabilities proportional to the outgoing fluxes.\n\nI is the initial starting state for rooting the cycle-history Markov chain. The choice of initial starting state does not affect the steady state EFM probabilities. The default is 1 and must be a whole number between 1:m.\n\nsolver is the type used for eigenvector calculations. Default is nothing and LinearSolve will pick the best solver. Consult LinearSolve.jl for specifying other solvers.\n\nExample\n\njulia> T = [#\n 0.0 1.0 0.0 0.0 0.0 0.0 0.0\n 0.0 0.0 0.5 0.5 0.0 0.0 0.0\n 0.0 0.25 0.0 0.0 0.75 0.0 0.0\n 0.0 0.0 0.0 0.0 1.0 0.0 0.0\n 0.0 0.0 0.333333 0.0 0.0 0.5 0.166667\n 1.0 0.0 0.0 0.0 0.0 0.0 0.0\n 0.0 0.0 0.0 0.0 1.0 0.0 0.0\n];\njulia> res = steady_state_efm_distribution(T);\njulia> res.e # EFM state sequences\n6-element Vector{Vector{Int64}}:\n [3, 2, 3]\n [3, 2, 4, 5, 3]\n [3, 5, 3]\n [6, 1, 2, 3, 5, 6]\n [7, 5, 7]\n [6, 1, 2, 4, 5, 6]\n\njulia> res.p # EFM probabilities\n6-element Vector{Float64}:\n 0.13723110896294213\n 0.035797649943428565\n 0.26989203316869914\n 0.20302350628312624\n 0.13926980198123254\n 0.2147858996605714\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-standard/#MarkovWeightedEFMs.CHMC.Standard.stoichiometry_to_transition_matrix","page":"CHMC","title":"MarkovWeightedEFMs.CHMC.Standard.stoichiometry_to_transition_matrix","text":"stoichiometry_to_transition_matrix(S::Matrix{<:Integer}, v::Vector{<:Real})\n\nConvert stoichiometry matrix S with vector of steady state fluxes to a right stochastic transition probability matrix with rows summing to one.\n\nS is the m by n stoichiometry matrix with m metabolites and n reactions.\n\nv is the steady state flux vector with length n.\n\nExamples\n\njulia> S = [#\n -1 0 0 0 0 0 0 0 0 0 1\n 1 -1 1 -1 0 0 0 0 0 0 0\n 0 1 -1 0 -1 1 0 0 0 0 0\n 0 0 0 1 0 0 -1 0 0 0 0\n 0 0 0 0 1 -1 1 -1 -1 1 0\n 0 0 0 0 0 0 0 1 0 0 -1\n 0 0 0 0 0 0 0 0 1 -1 0\n]\njulia> v = [2, 2, 2, 2, 2, 2, 2, 2, 4]\njulia> stoich_to_transition(S, v)\n7x7 Matrix{Float64}:\n 0.0 1.0 0.0 0.0 0.0 0.0 0.0\n 0.0 0.0 0.5 0.5 0.0 0.0 0.0\n 0.0 0.25 0.0 0.0 0.75 0.0 0.0\n 0.0 0.0 0.0 0.0 1.0 0.0 0.0\n 0.0 0.0 0.333333 0.0 0.0 0.5 0.166667\n 1.0 0.0 0.0 0.0 0.0 0.0 0.0\n 0.0 0.0 0.0 0.0 1.0 0.0 0.0\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-standard/#MarkovWeightedEFMs.CHMC.Standard.reshape_efm_matrix","page":"CHMC","title":"MarkovWeightedEFMs.CHMC.Standard.reshape_efm_matrix","text":"reshape_efm_matrix(ϕ::Matrix{Int64}, S::Matrix{<:Real})\n\nConvert a matrix of EFMs ϕ to a nested vector of EFMs from a stoichiometry matrix S. Stoichiometry matrix may only contain unimolecular reactions.\n\nϕ is the n by k EFM matrix with n reactions (rows) and k EFMs (cols).\n\nS is the m by n stoichiometry matrix with m metabolites (rows) and n reactions (cols).\n\nExamples\n\njulia> ϕ = [#\n 1 1 0 0 0 0\n 1 0 1 0 0 0\n 0 0 1 0 0 1\n 0 1 0 0 0 1\n 1 0 0 1 0 0\n 0 0 0 1 0 1\n 0 1 0 0 0 1\n 1 1 0 0 0 0\n 0 0 0 0 1 0\n 0 0 0 0 1 0\n 1 1 0 0 0 0\n]\njulia> S = [#\n -1 0 0 0 0 0 0 0 0 0 1\n 1 -1 1 -1 0 0 0 0 0 0 0\n 0 1 -1 0 -1 1 0 0 0 0 0\n 0 0 0 1 0 0 -1 0 0 0 0\n 0 0 0 0 1 -1 1 -1 -1 1 0\n 0 0 0 0 0 0 0 1 0 0 -1\n 0 0 0 0 0 0 0 0 1 -1 0\n]\njulia> efm_vector = reshape_efm_matrix(ϕ, S)\n6-element Vector{Vector{Int64}}:\n [1, 2, 3, 5, 6, 1]\n [1, 2, 4, 5, 6, 1]\n [2, 3, 2]\n [3, 5, 3]\n [5, 7, 5]\n [3, 2, 4, 5, 3]\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-standard/#MarkovWeightedEFMs.CHMC.Standard.reshape_efm_vector","page":"CHMC","title":"MarkovWeightedEFMs.CHMC.Standard.reshape_efm_vector","text":"reshape_efm_vector(ϕ::Vector{Vector{Int64}}, S::Matrix{<:Real})\n\nConvert nested vector of EFM indices ϕ with length k to an n by k matrix of EFMs based on m by n stoichiometry matrix S. Stoichiometry matrix may only contain unimolecular reactions.\n\nϕ is the nested vector of EFMs with length k and elements corresponding to EFM metabolite indices in S.\n\nS is the m by n stoichiometry matrix with m metabolites (rows) and n reactions (cols).\n\nExamples\n\njulia> ϕ = [#\n [1, 2, 3, 5, 6, 1],\n [1, 2, 4, 5, 6, 1],\n [2, 3, 2], [3, 5, 3], [5, 7, 5], [2, 4, 5, 3, 2]\n]\njulia> S = [#\n -1 0 0 0 0 0 0 0 0 0 1\n 1 -1 1 -1 0 0 0 0 0 0 0\n 0 1 -1 0 -1 1 0 0 0 0 0\n 0 0 0 1 0 0 -1 0 0 0 0\n 0 0 0 0 1 -1 1 -1 -1 1 0\n 0 0 0 0 0 0 0 1 0 0 -1\n 0 0 0 0 0 0 0 0 1 -1 0\n]\njulia> efm_matrix = reshape_efm_vector(ϕ, S)\n11x6 Matrix{Int64}:\n 1 1 0 0 0 0\n 1 0 1 0 0 0\n 0 0 1 0 0 1\n 0 1 0 0 0 1\n 1 0 0 1 0 0\n 0 0 0 1 0 1\n 0 1 0 0 0 1\n 1 1 0 0 0 0\n 0 0 0 0 1 0\n 0 0 0 0 1 0\n 1 1 0 0 0 0\n\n\n\n\n\n","category":"function"},{"location":"library/chmc-standard/#Index","page":"CHMC","title":"Index","text":"","category":"section"},{"location":"library/chmc-standard/","page":"CHMC","title":"CHMC","text":"Pages = [\"chmc-standard.md\"]","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/#Boilerplate-code-for-ACHMC-analysis-of-BiGG-models","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"","category":"section"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"The following code is provided to construct ACHMC models of BiGG metabolic models (and others) stored in the SBML file format. Each code block is designed to be standalone with calculations saved to file and re-loaded in a subsequent code block. Since metabolic models can be quite complex, individual pre-processesing functions are used rather than the wrapper function preprocess_all_for_atomic_chmc. Unfortunately, BiGG does not store SMILES strings so these will need to be manually compiled by the user.","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"Note we recommend starting with relatively small networks (<500 metabolites and reactions in the original metabolic model) for computational feasibility before scaling to larger ones.","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/#Inputs-(from-BiGG)","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Inputs (from BiGG)","text":"","category":"section"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"This section shows how to extract relevant information from a BiGG metabolic model called e_coli_core.xml","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"# Import file names\nim_sbml = \"e_coli_core.xml\"\n\n# Export file names\nex_stoich = \"stoich.csv\"\nex_metabolites_compartments = \"metabolites-compartments.csv\"\nex_reactions = \"reactions.csv\"\nex_formulas = \"metabolite-formulas.csv\"\n\n# Packages\nusing SBML, CSV, Tables\n\n# Load SBML model\nmdl = readSBML(im_sbml)\nmetabolites, reactions, S = stoichiometry_matrix(mdl)\n\n# Dense stoichiometry matrix\nS = Array(S)\n\n# Metabolite names\nmets = [mdl.species[m].name for m in metabolites]\nmets = replace.(mets, \" \" => \"_\")\n\n# Metabolite names concatenated with compartment\nmetsc = [#\n join([mdl.species[m].name, mdl.species[m].compartment], \"_\")\n for m in metabolites\n]\nmetsc = replace.(metsc, \" \" => \"_\")\n\n# Metabolite formulas\nformulas = [mdl.species[m].formula for m in metabolites]\nformulas[isnothing.(formulas)] .= \"\"\n\n# Reaction names\nrxns = [mdl.reactions[r].name for r in reactions]\n\n# Export to text file\nCSV.write(ex_stoich, Tables.table(S), header = false)\nCSV.write(ex_metabolites, Tables.table(mets), header = false)\nCSV.write(ex_metabolites_compartments, Tables.table(metsc), header = false)\nCSV.write(ex_reactions, Tables.table(rxns), header = false)\nCSV.write(ex_formulas, Tables.table(formulas), header = false)","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/#Pre-processing-inputs-(for-AEFM-enumeration)","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Pre-processing inputs (for AEFM enumeration)","text":"","category":"section"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"This section pre-processes the BiGG inputs to meet the ACHMC requirements.","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"# Import file names\nim_stoich = \"stoich.csv\"\nim_mets = \"metabolites-compartments.csv\"\nim_rxns = \"reactions.csv\"\nim_smiles = \"smiles-isomeric.csv\"\n\n# Export file names\nex_stoich = \"stoichiometry-matrix-processed.csv\"\nex_mets = \"metabolites-processed.csv\"\nex_rxns = \"reactions-processed.csv\"\nex_smiles = \"smiles-isomeric-processed.csv\"\nex_reaction_smiles = \"reaction-smiles-processed.csv\"\nex_mapped_reaction_smiles = \"mapped-reaction-smiles-strings-processed.csv\"\nex_dict_carbon = \"dictionary-atom-tracing-carbon.csv\"\n\n# Packages\nusing CSV, Tables, MarkovWeightedEFMs, BenchmarkTools\n\n## Load previous inputs\n# Stoichiometry matrix\nS = CSV.read(im_stoich, Tables.matrix, header = false)\n\n# Metabolites\nmets = vec(CSV.read(im_mets, Tables.matrix, header = false))\n\n# Reactions\nrxns = String.(vec(CSV.read(im_rxns, Tables.matrix, header = false)))\n\n## Pre-processing\n# (1) Identify problems with S/v inputs\nerrors = find_atomic_chmc_input_errors(S)\nprint(errors) # summary of errors associated with S\n\n# (2) Clean S inputs\nS2, mets2, rxns2 = correct_atomic_chmc_input_errors(errors, S, mets, rxns)\nprint(find_atomic_chmc_input_errors(S2)) # confirm errors have been fixed\n\n# (3) Construct vector of smiles corresponding to the remaining metabolites in S\n# The SMILES strings for pseudometabolites with no defined chemical structure\n# are given an arbitrary SMILES of 'R' (or character that does not represent\n# a periodic table element)\n# SMILES strings matching S2\nsmiles3 = vec(CSV.read(im_smiles, Tables.matrix, header = false))\n\n# (4) Remove pseudometabolites and reactions exceeding RXNMapper character limit\nS4, mets4, rxns4, smiles4, i4 = correct_atomic_chmc_input_smiles(#\n S2, mets2, rxns2, smiles3\n)\ni4.dropped_rows_pseudometabolites # pseudometabolite rows removed from S2\ni4.dropped_cols_pseudometabolites # pseudometabolite reactions removed from S2\ni4.dropped_cols_rxnmapper_limit # reactions in S2 removed bc of RXNMapper limit\nprint(find_atomic_chmc_input_errors(S4)) # confirm no errors\n\n# (5) Construct the reaction strings and map atoms via RXNMAPPER\nsmiles5 = canonicalize_smiles(smiles4) # smiles strings must be canonicalized!\nrs5, ms5 = map_reaction_strings(S4, smiles5, rxns4, false)\n\n# (6) Precompute atom tracing dictionary (for carbons)\namax = get_max_atoms(smiles5, :C)\nD_C = precompute_atom_tracing_dictionary(S4, ms5, amax, :C)\n\n# Export to text file\nCSV.write(ex_stoich, Tables.table(S4), header = false)\nCSV.write(ex_mets, Tables.table(mets4), header = false)\nCSV.write(ex_rxns, Tables.table(rxns4), header = false, quotestrings = true)\nCSV.write(ex_smiles, Tables.table(smiles5), header = false)\nCSV.write(ex_reaction_smiles, Tables.table(rs5), header = false)\nCSV.write(ex_mapped_reaction_smiles, Tables.table(ms5), header = false)\nCSV.write(ex_dict_carbon, D_C, header = false)","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/#Pre-processing-inputs-(for-AEFM-weight-assignment)","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Pre-processing inputs (for AEFM weight assignment)","text":"","category":"section"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"Assuming there is a steady state flux vector v, the pre-processing steps are slightly different:","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"## Pre-processing\n# (1) Identify problems with S/v inputs\nerrors = find_atomic_chmc_input_errors(S, v)\nprint(errors) # summary of errors associated with S/v\n\n# (2) Clean S/v inputs\nS2, v2, mets2, rxns2 = correct_atomic_chmc_input_errors(errors, S, v, mets, rxns)\nprint(find_atomic_chmc_input_errors(S2, v2)) # confirm errors have been fixed\n\n# (3) Construct vector of smiles corresponding to the remaining metabolites in S\nsmiles3 = vec(CSV.read(im_smiles, Tables.matrix, header = false))\n\n# (4) Remove pseudometabolites and reactions exceeding RXNMapper character limit\nS4, v4, mets4, rxns4, smiles4, i4 = correct_atomic_chmc_input_smiles(#\n S2, v2, mets2, rxns2, smiles3\n)\ni4.dropped_rows_pseudometabolites # 33 pseudometabolite rows removed from S2\ni4.dropped_cols_pseudometabolites # 46 pseudometabolite reactions removed from S2\ni4.dropped_cols_rxnmapper_limit # 3 reactions in S2 removed bc of RXNMapper limit\nprint(find_atomic_chmc_input_errors(S4, v4)) # confirm no errors\n\n# (5) Construct the reaction strings and map atoms via RXNMAPPER\nsmiles5 = canonicalize_smiles(smiles4) # smiles strings must be canonicalized!\nrs5, ms5 = map_reaction_strings(S4, smiles5, rxns, false)\n\n# (6) Precompute atom tracing dictionary (for carbons)\namax = get_max_atoms(smiles5, :C)\nD_C = precompute_atom_tracing_dictionary(S4, ms5, amax, :C)","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/#Enumerating-AEFMs-across-all-source-metabolite-carbons","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Enumerating AEFMs across all source metabolite carbons","text":"","category":"section"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"# Verbosity of AEFM enumeration function (provides a progress meter)\nverbose = true\n\n# File names\nstoich_loc = \"stoichiometry-matrix-processed.csv\"\nsmiles_loc = \"smiles-isomeric-processed.csv\"\nmets_loc = \"metabolites-processed.csv\"\nD_C_loc = \"dictionary-atom-tracing-carbon.csv\"\nD_N_loc = \"dictionary-atom-tracing-nitrogen.csv\"\nms_loc = \"mapped-reaction-smiles-strings-processed.csv\"\nrxns_loc = \"reactions-processed.csv\"\n\n# Packages\nusing CSV, Tables, MarkovWeightedEFMs, JLD2, Dates\n\n## Load final data\n# Load stoichiometry matrix\nS = Int16.(CSV.read(stoich_loc, Tables.matrix, header = false))\n\n# Load SMILES strings matching the stoichiometry rows\nsmiles = vec(CSV.read(smiles_loc, Tables.matrix, header = false))\n\n# Load metabolites\nmets = vec(CSV.read(mets_loc, Tables.matrix, header = false))\n\n# Load atom tracing dictionary\nD_C = import_atom_tracing_dictionary(D_C_loc)\n\n# Load mapped reaction smiles strings\nms = vec(CSV.read(#\n ms_loc, Tables.matrix, delim = ';', ignoreemptyrows = false, header = false\n))\ng(x) = ismissing(x) ? \"\" : x\nms = g.(ms)\n\n# Load reactions\nrxns = String.(vec(CSV.read(rxns_loc, Tables.matrix, header = false)))\n\n## Enumerate atomic efms\n# Identify indices of all source metabolites and number of carbons/nitrogens\nsrcs = get_source_metabolites(Int16.(S))\namax_C = get_max_atoms(smiles, :C)\n\nstart_time = Dates.now()\nfor k in eachindex(srcs)\n res_dir = \"$k-\" * mets[srcs[k]]\n isdir(res_dir) || mkdir(res_dir)\n for l in 1:amax_C[srcs[k]]\n I = (srcs[k], l, :C)\n res = enumerate_atomic_efms(S, ms, I, D_C; verbose = verbose)\n end\nend\nend_time = Dates.now()\nttime = end_time - start_time\n\n@info \"It took $ttime to enumerate all carbon AEFMs.\"","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/#Computing-AEFM-weights-across-all-source-metabolite-carbons","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Computing AEFM weights across all source metabolite carbons","text":"","category":"section"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"Decomposing fluxes onto AEFMs uses the function steady_state_efm_distribution() requires the steady state fluxes v:","category":"page"},{"location":"tutorials/boilerplate-for-bigg-gems/","page":"Boilerplate code for ACHMC analysis of BiGG models","title":"Boilerplate code for ACHMC analysis of BiGG models","text":"for k in eachindex(srcs)\n res_dir = \"$k-\" * mets[srcs[k]]\n isdir(res_dir) || mkdir(res_dir)\n for l in 1:amax_C[srcs[k]]\n I = (srcs[k], l, :C)\n res = steady_state_efm_distribution(S, v, ms, I, D_C; verbose = verbose)\n end\nend","category":"page"},{"location":"#MarkovWeightedEFMs.jl","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"","category":"section"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"MarkovWeightedEFMs.jl is a package to decompose steady state metabolic fluxes onto elementary flux mode (EFM) weights and atomic elementary flux mode (AEFM) weights. EFM flux decomposition works only for closed-loop networks of unimolecular reactions. AEFM flux decomposition works on metabolic flux networks with known metabolite structures.","category":"page"},{"location":"#Usage","page":"MarkovWeightedEFMs.jl","title":"Usage","text":"","category":"section"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"See Getting started for package installation and Python dependencies (RXNMapper) for AEFM enumeration and flux decomposition. Once installed, the package is loaded in a julia session by typing:","category":"page"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"julia> using MarkovWeightedEFMs","category":"page"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"See the tutorial sections for EFM or AEFM enumeration and flux decomposition.","category":"page"},{"location":"#Citing-MarkovWeightedEFMs.jl","page":"MarkovWeightedEFMs.jl","title":"Citing MarkovWeightedEFMs.jl","text":"","category":"section"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"Please cite the following papers if you use our method for (A)EFM enumeration and flux decomposition.","category":"page"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"Justin G. Chitpin and Theodore J. Perkins, Atomic elementary flux modes explain the steady state flow of metabolites in flux networks. biorXiv preprint doi: XX.XXXX/XXXX.XX.XX.XXXXXX","category":"page"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"Justin G. Chitpin and Theodore J. Perkins, A Markov constraint to uniquely identify elementary flux mode weights in unimolecular metabolic networks. J Theor Biol. 2023 Nov 7;575:111632. doi: 10.1016/j.jtbi.2023.111632","category":"page"},{"location":"#License","page":"MarkovWeightedEFMs.jl","title":"License","text":"","category":"section"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"This software is released under the MIT license.","category":"page"},{"location":"#Contact-information","page":"MarkovWeightedEFMs.jl","title":"Contact information","text":"","category":"section"},{"location":"","page":"MarkovWeightedEFMs.jl","title":"MarkovWeightedEFMs.jl","text":"Justin G. Chitpin at jchit069@uottawa.ca for questions.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/#ACHMC-(for-AEFMs;-quickstart)","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"This section shows how to use the wrapper function in MarkovWeightedEFMs.jl to enumerate and assign AEFMs weights in a simple, multispecies reaction network.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"(Image: Toy multispecies network)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"# Bodge until I figure out how to install Python and RXMapper on Git workflows\nusing MarkovWeightedEFMs\nusing SparseArrays\n\nS = [#\n 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 # Glc\n 0 -1 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 # ATP\n 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 # G6P\n 0 1 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 # ADP\n 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 # 6PG\n 0 0 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 # F6P\n 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 # Pi\n 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 # H2O\n 0 0 0 0 0 1 -1 -1 0 0 0 0 0 0 0 0 # FDP\n 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 # G3P\n 0 0 0 0 0 0 0 1 1 -1 0 -1 0 0 0 0 # DHAP\n]\n\nv = [10, 10, 3, 3, 7, 8, 1, 7, 1, 1, 7, 7, 18, 18, 1, 1]\n\nmets = [#\n \"Glc\",\n \"ATP\",\n \"G6P\",\n \"ADP\",\n \"6PG\",\n \"F6P\",\n \"Pi\",\n \"H2O\",\n \"FDP\",\n \"G3P\",\n \"DHAP\"\n]\n\nrxns = [#\n \"Source Glc\",\n \"Hexokinase\",\n \"G6P dehydrogenase\",\n \"Sink 6PG\",\n \"Phosphoglucose isomerase\",\n \"6-phosphofructo-1-kinase\",\n \"Fructose 1,6-bisphosphatase\",\n \"Fructose-bisphosphate aldolase\",\n \"Triose phosphate isomerase\",\n \"Triose phosphate isomerase\",\n \"Sink G3P\",\n \"Sink DHAP\",\n \"Source ATP\",\n \"Sink ADP\",\n \"Sink Pi\",\n \"Source H2O\"\n]\n\nsmiles = [#\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)OP(=O)(O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\",\n \"C([C@H]([C@H]([C@@H](C(=O)CO)O)O)O)OP(=O)(O)O\",\n \"[O-]P(=O)([O-])[O-]\",\n \"O\",\n \"C(C1C(C(C(O1)(COP(=O)(O)O)O)O)O)OP(=O)(O)O\",\n \"C([C@H](C=O)O)OP(=O)(O)O\",\n \"C(C(=O)COP(=O)(O)O)O\"\n]\n\natom = :C # carbon atom type for AEFMs\n\n#mdl, atom_info, logs = preprocess_all_for_atomic_chmc(S, v, mets, rxns, smiles, atom)\n\nmodel_errors = CHMCAtomicErrorSummary(#\n 0.0, #absolute_flux_error\n Vector{Int64}(), #reactions_duplicated\n Vector{Int64}(), #reactions_with_zero_flux\n Vector{Int64}(), #reactions_with_negative_flux\n Vector{Int64}(), #reactions_with_non_integer_stoichiometries\n Vector{Int64}([1, 13, 16]), #reactions_unimolecular_source_stoichiometry_one\n Vector{Int64}(), #reactions_unimolecular_source_stoichiometry_not_one\n Vector{Int64}(), #reactions_multimolecular_source_stoichiometry_one\n Vector{Int64}(), #reactions_multimolecular_source_stoichiometry_not_one\n Vector{Int64}([4, 11, 12, 14, 15]), #reactions_unimolecular_sink_stoichiometry_one\n Vector{Int64}(), #reactions_unimolecular_sink_stoichiometry_not_one\n Vector{Int64}(), #reactions_multimolecular_sink_stoichiometry_one\n Vector{Int64}(), #reactions_multimolecular_sink_stoichiometry_not_one\n Vector{Int64}(), #reactions_empty\n Vector{Int64}() #unused_metabolites\n)\n\nsmiles_warnings = (#\n dropped_rows_pseudometabolites = Int64[],\n dropped_cols_pseudometabolites = Int64[],\n dropped_cols_rxnmapper_limit = Int64[]\n)\n\nlogs = (model_errors = model_errors, smiles_warnings = smiles_warnings)\n\nks = [#\n (3, 2, 1, 3),\n (2, 2, 1, 6),\n (1, 2, 1, 2),\n (2, 5, 1, 2),\n (3, 3, 1, 5),\n (3, 4, 1, 5),\n (3, 6, 1, 3),\n (2, 6, 1, 6),\n (1, 6, 1, 2),\n (2, 7, 1, 6),\n (11, 3, 1, 10),\n (2, 9, 1, 2),\n (3, 1, 1, 5),\n (3, 2, 1, 5),\n (3, 5, 1, 3),\n (2, 5, 1, 6),\n (9, 3, 1, 7),\n (1, 5, 1, 2),\n (9, 4, 1, 7),\n (11, 1, 1, 10),\n (6, 3, 1, 6),\n (9, 3, 1, 8),\n (6, 4, 1, 6),\n (9, 4, 1, 8),\n (2, 3, 1, 2),\n (11, 2, 1, 10),\n (2, 4, 1, 2),\n (3, 6, 1, 5),\n (9, 1, 1, 7),\n (6, 1, 1, 6),\n (9, 1, 1, 8),\n (2, 9, 1, 6),\n (9, 2, 1, 7),\n (2, 1, 1, 2),\n (6, 2, 1, 6),\n (9, 2, 1, 8),\n (2, 8, 1, 2),\n (2, 10, 1, 2),\n (2, 2, 1, 2),\n (3, 5, 1, 5),\n (9, 6, 1, 7),\n (10, 3, 1, 9),\n (6, 6, 1, 6),\n (3, 3, 1, 3),\n (2, 3, 1, 6),\n (9, 6, 1, 8),\n (1, 3, 1, 2),\n (3, 4, 1, 3),\n (2, 4, 1, 6),\n (1, 4, 1, 2),\n (2, 6, 1, 2),\n (2, 7, 1, 2),\n (10, 1, 1, 9),\n (3, 1, 1, 3),\n (2, 1, 1, 6),\n (9, 5, 1, 7),\n (1, 1, 1, 2),\n (6, 5, 1, 6),\n (2, 8, 1, 6),\n (9, 5, 1, 8),\n (2, 10, 1, 6),\n (10, 2, 1, 9)\n]\n\nvs = [#\n (5, 2),\n (4, 2),\n (3, 2),\n (4, 5),\n (6, 2),\n (6, 1),\n (5, 4),\n (4, 6),\n (3, 6),\n (4, 7),\n (10, 3),\n (4, 9),\n (6, 6),\n (6, 5),\n (5, 5),\n (4, 5),\n (6, 5),\n (3, 5),\n (6, 6),\n (10, 2),\n (9, 6),\n (11, 1),\n (9, 5),\n (11, 2),\n (4, 3),\n (10, 1),\n (4, 4),\n (6, 4),\n (6, 2),\n (9, 2),\n (10, 1),\n (4, 9),\n (6, 1),\n (4, 1),\n (9, 1),\n (10, 2),\n (4, 8),\n (4, 10),\n (4, 2),\n (6, 3),\n (6, 3),\n (11, 3),\n (9, 4),\n (5, 1),\n (4, 3),\n (10, 3),\n (3, 3),\n (5, 6),\n (4, 4),\n (3, 4),\n (4, 6),\n (4, 7),\n (11, 2),\n (5, 3),\n (4, 1),\n (6, 4),\n (3, 1),\n (9, 3),\n (4, 8),\n (11, 3),\n (4, 10),\n (11, 1)\n]\nD_C = Dict(zip(ks, vs))\n\nsrc_mets = [1, 2, 8]\nmax_src_mets_carbon = [6, 10, 0]\n\natom_info = (D = D_C, atom = :C, max_src_met_atoms = max_src_mets_carbon, src_mets = src_mets)\n\nsmiles = [\n \"OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O\"\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\"\n \"O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O\"\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\"\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\"\n \"O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O\"\n \"O=P([O-])([O-])[O-]\"\n \"O\"\n \"O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O\"\n \"O=C[C@H](O)COP(=O)(O)O\"\n \"O=C(CO)COP(=O)(O)O\"\n]\n\nrs = [#\n \">>OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O\",\n \"OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O.Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O>>O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O.Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\",\n \"O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O>>O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\",\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O>>\",\n \"O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O>>O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O\",\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O.O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O>>Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O.O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O\",\n \"O.O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O>>O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O.O=P([O-])([O-])[O-]\",\n \"O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O>>O=C[C@H](O)COP(=O)(O)O.O=C(CO)COP(=O)(O)O\",\n \"O=C[C@H](O)COP(=O)(O)O>>O=C(CO)COP(=O)(O)O\",\n \"O=C(CO)COP(=O)(O)O>>O=C[C@H](O)COP(=O)(O)O\",\n \"O=C[C@H](O)COP(=O)(O)O>>\",\n \"O=C(CO)COP(=O)(O)O>>\",\n \">>Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O\",\n \"Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O>>\",\n \"O=P([O-])([O-])[O-]>>\",\n \">>O\"\n]\n\nms = [#\n \"\",\n \"[OH:5][CH2:6][C@H:7]1[O:8][CH:9]([OH:10])[C@H:11]([OH:12])[C@@H:13]([OH:14])[C@@H:15]1[OH:16].[NH2:17][c:18]1[n:19][cH:20][n:21][c:22]2[c:23]1[n:24][cH:25][n:26]2[C@@H:27]1[O:28][C@H:29]([CH2:30][O:31][P:32](=[O:33])([OH:34])[O:35][P:36](=[O:37])([OH:38])[O:39][P:2](=[O:1])([OH:3])[OH:4])[C@@H:40]([OH:41])[C@H:42]1[OH:43]>>[O:1]=[P:2]([OH:3])([OH:4])[O:5][CH2:6][C@H:7]1[O:8][CH:9]([OH:10])[C@H:11]([OH:12])[C@@H:13]([OH:14])[C@@H:15]1[OH:16].[NH2:17][c:18]1[n:19][cH:20][n:21][c:22]2[c:23]1[n:24][cH:25][n:26]2[C@@H:27]1[O:28][C@H:29]([CH2:30][O:31][P:32](=[O:33])([OH:34])[O:35][P:36](=[O:37])([OH:38])[OH:39])[C@@H:40]([OH:41])[C@H:42]1[OH:43]\",\n \"[O:8]=[P:7]([OH:9])([OH:10])[O:6][CH2:5][C@H:4]1[O:3][CH:2]([OH:1])[C@H:15]([OH:16])[C@@H:13]([OH:14])[C@@H:11]1[OH:12]>>[O:1]=[C:2]1[O:3][C@H:4]([CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10])[C@@H:11]([OH:12])[C@H:13]([OH:14])[C@H:15]1[OH:16]\",\n \"\",\n \"[O:14]=[P:13]([OH:15])([OH:16])[O:12][CH2:11][C@H:9]1[O:10][CH:3]([OH:4])[C@H:2]([OH:1])[C@@H:5]([OH:6])[C@@H:7]1[OH:8]>>[O:1]=[C:2]([CH2:3][OH:4])[C@@H:5]([OH:6])[C@H:7]([OH:8])[C@H:9]([OH:10])[CH2:11][O:12][P:13](=[O:14])([OH:15])[OH:16]\",\n \"[NH2:1][c:2]1[n:3][cH:4][n:5][c:6]2[c:7]1[n:8][cH:9][n:10]2[C@@H:11]1[O:12][C@H:13]([CH2:14][O:15][P:16](=[O:17])([OH:18])[O:19][P:20](=[O:21])([OH:22])[O:23][P:29](=[O:28])([OH:30])[OH:31])[C@@H:24]([OH:25])[C@H:26]1[OH:27].[O:35]=[C:34]([CH2:33][OH:32])[C@@H:46]([OH:47])[C@H:44]([OH:45])[C@H:36]([OH:37])[CH2:38][O:39][P:40](=[O:41])([OH:42])[OH:43]>>[NH2:1][c:2]1[n:3][cH:4][n:5][c:6]2[c:7]1[n:8][cH:9][n:10]2[C@@H:11]1[O:12][C@H:13]([CH2:14][O:15][P:16](=[O:17])([OH:18])[O:19][P:20](=[O:21])([OH:22])[OH:23])[C@@H:24]([OH:25])[C@H:26]1[OH:27].[O:28]=[P:29]([OH:30])([OH:31])[O:32][CH2:33][CH:34]1[O:35][C:36]([OH:37])([CH2:38][O:39][P:40](=[O:41])([OH:42])[OH:43])[CH:44]([OH:45])[CH:46]1[OH:47]\",\n \"[OH2:20].[O:17]=[P:18]([OH:19])([OH:21])[O:4][CH2:3][CH:2]1[O:1][C:9]([OH:10])([CH2:11][O:12][P:13](=[O:14])([OH:15])[OH:16])[CH:7]([OH:8])[CH:5]1[OH:6]>>[O:1]=[C:2]([CH2:3][OH:4])[C@@H:5]([OH:6])[C@H:7]([OH:8])[C@H:9]([OH:10])[CH2:11][O:12][P:13](=[O:14])([OH:15])[OH:16].[O:17]=[P:18]([O-:19])([O-:20])[O-:21]\",\n \"[O:18]=[P:17]([OH:19])([OH:20])[O:1][CH2:2][CH:3]1[O:4][C:12]([OH:11])([CH2:13][O:14][P:7](=[O:8])([OH:9])[OH:10])[CH:15]([OH:16])[CH:5]1[OH:6]>>[O:1]=[CH:2][C@H:3]([OH:4])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10].[O:11]=[C:12]([CH2:13][OH:14])[CH2:15][O:16][P:17](=[O:18])([OH:19])[OH:20]\",\n \"[O:4]=[CH:3][C@H:2]([OH:1])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]>>[O:1]=[C:2]([CH2:3][OH:4])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]\",\n \"[O:1]=[C:2]([CH2:3][OH:4])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]>>[O:4]=[CH:3][C@H:2]([OH:1])[CH2:5][O:6][P:7](=[O:8])([OH:9])[OH:10]\",\n \"\",\n \"\",\n \"\",\n \"\",\n \"\",\n \"\"\n]\n\nmdl = (S = Int16.(S), ms = ms, rxns = rxns, v = Float64.(v), mets = mets, rs = rs, smiles = smiles)\n\nI = (1, 1, atom)\nks = Int16.([5, 4, 6, 7, 2, 8, 3, 1])\nvs = [(Int16(6), Int16(6)), (Int16(0), Int16(0)), (Int16(9), Int16(4)), (Int16(11), Int16(2)), (Int16(3), Int16(1)), (Int16(10), Int16(1)), (Int16(5), Int16(3)), (Int16(1), Int16(1))]\ndmc = Dict(zip(ks, vs))\n\nks = [#\n Int16.([1, 2, 5, 6, 7]),\n Int16.([1, 2, 5, 6]),\n Int16.([1, 2, 5, 6, 7, 4]),\n Int16.([1]),\n Int16.([1, 2, 3]),\n Int16.([1, 2, 3, 4]),\n Int16.([1, 2]),\n Int16.([1, 2, 5]),\n Int16.([1, 2, 5, 6, 7, 8]),\n Int16.([1, 2, 5, 6, 7, 8, 4])\n]\nvs = [#\n (id = 7, children = Int16.([8])),\n (id = 6, children = Int16.([7])),\n (id = 8, children = Int16.([])),\n (id = 1, children = Int16.([2])),\n (id = 3, children = Int16.([])),\n (id = 4, children = Int16.([])),\n (id = 2, children = Int16.([3, 5])),\n (id = 5, children = Int16.([6])),\n (id = 9, children = Int16.([])),\n (id = 10, children = Int16.([]))\n]\ndchmc = Dict(zip(ks, vs))\n\nT = SparseMatrixCSC([\n 0 1.0 0 0 0 0 0 0 0 0\n 0 0 0.3 0 0.7 0 0 0 0 0\n 0 0 0 1.0 0 0 0 0 0 0\n 1.0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 1.0 0 0 0 0\n 0 0 0 0 0.125 0 0.875 0 0 0\n 0 0 0 0 0 0 0 0.875 0.125 0\n 1.0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0.125 0 0 0.875\n 1.0 0 0 0 0 0 0 0 0 0\n])\n\nR = [#\n (i = 1, j = 2, k = Int16(2)),\n (i = 2, j = 3, k = Int16(3)),\n (i = 2, j = 5, k = Int16(5)),\n (i = 3, j = 4, k = Int16(4)),\n (i = 4, j = 1, k = Int16(4)),\n (i = 5, j = 6, k = Int16(6)),\n (i = 6, j = 5, k = Int16(7)),\n (i = 6, j = 7, k = Int16(8)),\n (i = 7, j = 8, k = Int16(12)),\n (i = 8, j = 1, k = Int16(12)),\n (i = 7, j = 9, k = Int16(10)),\n (i = 9, j = 10, k = Int16(11)),\n (i = 10, j = 1, k = Int16(11)),\n (i = 9, j = 7, k = Int16(9))\n]\n\nres = CHMCAtomicSummary(#\n (1, 1, :C),\n [#\n (EFM = [6, 5, 6], Closures = [(6, 5)]),\n (EFM = [4, 1, 2, 5, 6, 7, 4], Closures = [(8, 1)]),\n (EFM = [4, 1, 2, 3, 4], Closures = [(4, 1)]),\n (EFM = [8, 7, 8], Closures = [(9, 7)]),\n (EFM = [4, 1, 2, 5, 6, 7, 8, 4], Closures = [(10, 1)])\n ],\n [0.09000000000000001, 0.56, 0.27, 0.01, 0.07],\n [1.0, 6.222222222222222, 3.0, 0.11111111111111112, 0.7777777777777778],\n dmc,\n dchmc,\n T,\n R\n)\n\nres_enum = CHMCAtomicSummary(#\n (1, 1, :C),\n [#\n (EFM = [6, 5, 6], Closures = [(6, 5)]),\n (EFM = [4, 1, 2, 5, 6, 7, 4], Closures = [(8, 1)]),\n (EFM = [4, 1, 2, 3, 4], Closures = [(4, 1)]),\n (EFM = [8, 7, 8], Closures = [(9, 7)]),\n (EFM = [4, 1, 2, 5, 6, 7, 8, 4], Closures = [(10, 1)])\n ],\n nothing,\n nothing,\n dmc,\n dchmc,\n T,\n R\n)\n\nefm_seq_1 = [\"FDP\", \"F6P\", \"FDP\"]\nefm_seq_2 = [\"Glc\", \"G6P\", \"F6P\", \"FDP\", \"DHAP\"]","category":"page"},{"location":"tutorials/chmc-atomic-glucose/#Inputs","page":"ACHMC (for AEFMs; quickstart)","title":"Inputs","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"using MarkovWeightedEFMs\nS = [#\n 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 # Glc\n 0 -1 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 # ATP\n 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 # G6P\n 0 1 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 # ADP\n 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 # 6PG\n 0 0 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 # F6P\n 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 # Pi\n 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 # H2O\n 0 0 0 0 0 1 -1 -1 0 0 0 0 0 0 0 0 # FDP\n 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 # G3P\n 0 0 0 0 0 0 0 1 1 -1 0 -1 0 0 0 0 # DHAP\n]\n\nv = [10, 10, 3, 3, 7, 8, 1, 7, 1, 1, 7, 7, 18, 18, 1, 1]\n\nmets = [#\n \"Glc\",\n \"ATP\",\n \"G6P\",\n \"ADP\",\n \"6PG\",\n \"F6P\",\n \"Pi\",\n \"H2O\",\n \"FDP\",\n \"G3P\",\n \"DHAP\"\n]\n\nrxns = [#\n \"Source Glc\",\n \"Hexokinase\",\n \"G6P dehydrogenase\",\n \"Sink 6PG\",\n \"Phosphoglucose isomerase\",\n \"6-phosphofructo-1-kinase\",\n \"Fructose 1,6-bisphosphatase\",\n \"Fructose-bisphosphate aldolase\",\n \"Triose phosphate isomerase\",\n \"Triose phosphate isomerase\",\n \"Sink G3P\",\n \"Sink DHAP\",\n \"Source ATP\",\n \"Sink ADP\",\n \"Sink Pi\",\n \"Source H2O\"\n]\n\nsmiles = [#\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)OP(=O)(O)O\",\n \"C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)O)O)O)N\",\n \"O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O\",\n \"C([C@H]([C@H]([C@@H](C(=O)CO)O)O)O)OP(=O)(O)O\",\n \"[O-]P(=O)([O-])[O-]\",\n \"O\",\n \"C(C1C(C(C(O1)(COP(=O)(O)O)O)O)O)OP(=O)(O)O\",\n \"C([C@H](C=O)O)OP(=O)(O)O\",\n \"C(C(=O)COP(=O)(O)O)O\"\n]\n\natom = :C # carbon atom type for AEFMs","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"We can check that the flux vector satisfies the steady state requirements.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"all(S * v .== 0) # should evaluate as true","category":"page"},{"location":"tutorials/chmc-atomic-glucose/#Pre-processing-data-(wrapper)","page":"ACHMC (for AEFMs; quickstart)","title":"Pre-processing data (wrapper)","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The following function pre-processes the input metabolic network for computing the AEFM weights for the specified atom type.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"mdl, atom_info, logs = preprocess_all_for_atomic_chmc(S, v, mets, rxns, smiles, atom)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The variable mdl is a NamedTuple containing the updated stoichiometry matrix, flux vector, metabolite/reaction names, metabolite SMILES strings, reaction SMILES strings, and mapped reaction SMILES strings.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"keys(mdl)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The variable logs contains details about input metabolic network in addition to listing the pseudometabolites and pseudoreactions dropped from the network based on the input SMILES strings.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"keys(logs)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"print(logs.model_errors)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"logs.smiles_warnings","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The variable atom_info contains the indices of all source metabolites in the updated network and the number of occurrences for the input atom of interest. It also contains an atom-mapping dictionary relating substrate-atom positions to product-atom positions in each reaction. These are useful for programmatically computing AEFMs across all source metabolite-atom combinations of interest.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"keys(atom_info)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"atom_info.src_mets # source metabolite indices","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"atom_info.max_src_met_atoms # counts of specified atom in each source metabolite","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"atom_info.D # atom-mapping dictionary","category":"page"},{"location":"tutorials/chmc-atomic-glucose/#Computing-ACHMC-for-a-given-metabolite/carbon-atom-state","page":"ACHMC (for AEFMs; quickstart)","title":"Computing ACHMC for a given metabolite/carbon atom state","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The following atomic CHMC is rooted on the first carbon atom of the first source metabolite in the stoichiometry.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"I = (atom_info.src_mets[1], 1, atom) # initial state is 1st carbon of canonicalized glucose\nres = steady_state_efm_distribution(mdl.S, mdl.v, mdl.ms, I, atom_info.D; verbose = false) # S must be Matrix{Int16}","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"If we only wanted to enumerate the AEFMs, we would run:","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res_enum = enumerate_atomic_efms(mdl.S, mdl.ms, I, atom_info.D, verbose = false)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"Both functions produce the same output structure res, except that the AEFM flux decomposition fields will be empty. The transition matrix will also default to uniformly distributed probabilities along each row.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/#Output","page":"ACHMC (for AEFMs; quickstart)","title":"Output","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The output res is an immutable struct with 8 fields:","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.i is a tuple storing (i) the source metabolite index, (ii) source metabolite atom index (based on canonicalized SMILES string), and (iii) the atom type. This is a copy of the variable I.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.i","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.e is an array of AEFMs with all corresponding simple cycle closures.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.e","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.p is an array of AEFM probabilities normalized to one.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.p","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.w is an array of AEFM weights normalized by the (unimolecular) reaction flux of the source metabolite.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.w","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.dchmc is a dictionary storing the ACHMC. The keys are the ACHMC states (composed of Markov chain states in res.dmc). The values are the ACHMC state and the Markov chain state children.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.dchmc","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.dmc is a dictionary converting Markov chain states to metabolite-atom positions. The value (0, 0) always corresponds to the external environment sink node (which connects back to the source metabolite-atom state).","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.dmc","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.T is a sparse array storing the ACHMC transition probability matrix.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.T","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.R is an array of tuples storing the reaction index/indices mapped to each ACHMC transition matrix element.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"res.R","category":"page"},{"location":"tutorials/chmc-atomic-glucose/#Converting-AEFM-to-sequence-of-metabolites","page":"ACHMC (for AEFMs; quickstart)","title":"Converting AEFM to sequence of metabolites","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The corresponding AEFMs correspond to the movement of metabolite/atom states through the reaction network. We can convert these states into metabolites using get_efm_metabolite_atom_indices. Note that there is one fewer metabolite name than AEFM metabolite indices because the pseudometabolite (0, 0) linking sink and source reactions is omitted.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"# First AEFM\nefm_seq_1 = mets[first.(get_efm_metabolite_atom_indices(res, 1))]","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"efm_seq_1","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"# Second AEFM\nefm_seq_2 = mets[first.(get_efm_metabolite_atom_indices(res, 2))]","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"efm_seq_2","category":"page"},{"location":"tutorials/chmc-atomic-glucose/#Visualizing-the-CHMC-and-mapped-reactions","page":"ACHMC (for AEFMs; quickstart)","title":"Visualizing the CHMC and mapped reactions","text":"","category":"section"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"The following plotting function visualizes the ACHMC rooted on state I. This is only recommended for exploring ACHMCs of small networks.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"using GLMakie # Makie backend\nGLMakie.activate!()\n\nplot_atomic_chmc(res, S, mets, rs)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"Each node in the main panel corresponds to a CHMC state (metabolite and atomic index).","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"(Image: ACHMC main panel)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"Clicking on a CHMC transition will highlight that transition and display the corresponding metabolic reaction on the upper panel. The pair of purple highlighted atoms correspond to the movement of the same atom from the LHS to RHS of the reaction.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"(Image: ACHMC main and upper panel)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"Finally, the reaction and mapped reaction SMILES strings can also be plotted as an SVG and previewed using a package like ElectronDisplay. If fname != \"\", the SVG is also saved to file. By default, fname == \"\" and the SVG is not saved. The default canvas width and height are 1420 by 580 (pixels) but these can be changed. If using ElectronDisplay and the image is cut off, try resizing the plotting window or reducing the canvas dimensions.","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"using ElectronDisplay\n\n# Reaction string\nplot_mapped_reaction(rs[2], view=true, canvas_width = 1420, canvas_height = 580)\n#plot_mapped_reaction(rs[2], \"\\path\\to\\save\\name.svg\", view=true)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"(Image: Reaction SMILES string)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"# Mapped reaction string\nplot_mapped_reaction(ms[2], view = true, canvas_width = 1420, canvas_height = 580)\n#plot_mapped_reaction(ms[2], \"\\path\\to\\save\\name.svg\", view = true)","category":"page"},{"location":"tutorials/chmc-atomic-glucose/","page":"ACHMC (for AEFMs; quickstart)","title":"ACHMC (for AEFMs; quickstart)","text":"(Image: Mapped reaction SMILES string)","category":"page"},{"location":"installation/python-dependencies/#Exact-Python-dependencies-for-RXNMapper","page":"Exact Python dependencies for RXNMapper","title":"Exact Python dependencies for RXNMapper","text":"","category":"section"},{"location":"installation/python-dependencies/#Python-version","page":"Exact Python dependencies for RXNMapper","title":"Python version","text":"","category":"section"},{"location":"installation/python-dependencies/","page":"Exact Python dependencies for RXNMapper","title":"Exact Python dependencies for RXNMapper","text":"(rxnmapper-virtual-environment)\n$ python\nPython 3.10.14 (main, Jul 31 2024, 21:14:36) [GCC 14.1.1 20240720] on linux\nType \"help\", \"copyright\", \"credits\" or \"license\" for more information.\n>>> import sys\n>>> print(sys.version)\n3.10.14 (main, Jul 31 2024, 21:14:36) [GCC 14.1.1 20240720]","category":"page"},{"location":"installation/python-dependencies/#Dependencies-list","page":"Exact Python dependencies for RXNMapper","title":"Dependencies list","text":"","category":"section"},{"location":"installation/python-dependencies/","page":"Exact Python dependencies for RXNMapper","title":"Exact Python dependencies for RXNMapper","text":"(rxnmapper-virtual-environment)\n$ pip list --local\n\nPackage Version\n------------------------ -----------\nannotated-types 0.7.0\nattrs 24.2.0\nbeautifulsoup4 4.12.3\nbs4 0.0.2\ncertifi 2024.7.4\ncharset-normalizer 3.3.2\nclick 8.1.7\nCTSgetPy 0.0.2\ndiskcache 5.6.3\ndnspython 2.6.1\nfilelock 3.15.4\nfsspec 2024.6.1\nhuggingface-hub 0.24.6\nidna 3.8\nJinja2 3.1.4\nMarkupSafe 2.1.5\nmpmath 1.3.0\nnetworkx 3.3\nnumpy 2.1.0\nnvidia-cublas-cu12 12.1.3.1\nnvidia-cuda-cupti-cu12 12.1.105\nnvidia-cuda-nvrtc-cu12 12.1.105\nnvidia-cuda-runtime-cu12 12.1.105\nnvidia-cudnn-cu12 9.1.0.70\nnvidia-cufft-cu12 11.0.2.54\nnvidia-curand-cu12 10.3.2.106\nnvidia-cusolver-cu12 11.4.5.107\nnvidia-cusparse-cu12 12.1.0.106\nnvidia-nccl-cu12 2.20.5\nnvidia-nvjitlink-cu12 12.6.68\nnvidia-nvtx-cu12 12.1.105\npackaging 24.1\npandas 2.2.2\npillow 10.4.0\npip 24.2\npydantic 2.8.2\npydantic_core 2.20.1\npydantic-settings 2.4.0\npymongo 4.8.0\npython-dateutil 2.9.0.post0\npython-dotenv 1.0.1\npytz 2024.1\nPyYAML 6.0.2\nrdkit 2024.3.5\nregex 2024.7.24\nrequests 2.32.3\nrxn-chem-utils 1.6.0\nrxn-utils 2.0.0\nrxnmapper 0.3.1\nsafetensors 0.4.4\nscipy 1.14.1\nsetuptools 72.1.0\nsix 1.16.0\nsoupsieve 2.6\nsympy 1.13.2\ntdqm 0.0.1\ntokenizers 0.19.1\ntorch 2.4.0\ntqdm 4.66.5\ntransformers 4.44.2\ntriton 3.0.0\ntyping_extensions 4.12.2\ntzdata 2024.1\nurllib3 2.2.2\nwheel 0.43.0","category":"page"}] +} diff --git a/v2.0.2/siteinfo.js b/v2.0.2/siteinfo.js new file mode 100644 index 0000000..7198656 --- /dev/null +++ b/v2.0.2/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v2.0.2"; diff --git a/v2.0.2/tutorials/boilerplate-for-bigg-gems/index.html b/v2.0.2/tutorials/boilerplate-for-bigg-gems/index.html new file mode 100644 index 0000000..2ede43a --- /dev/null +++ b/v2.0.2/tutorials/boilerplate-for-bigg-gems/index.html @@ -0,0 +1,201 @@ + +Boilerplate code for ACHMC analysis of BiGG models · MarkovWeightedEFMs.jl
        GitHub

        Boilerplate code for ACHMC analysis of BiGG models

        The following code is provided to construct ACHMC models of BiGG metabolic models (and others) stored in the SBML file format. Each code block is designed to be standalone with calculations saved to file and re-loaded in a subsequent code block. Since metabolic models can be quite complex, individual pre-processesing functions are used rather than the wrapper function preprocess_all_for_atomic_chmc. Unfortunately, BiGG does not store SMILES strings so these will need to be manually compiled by the user.

        Note we recommend starting with relatively small networks (<500 metabolites and reactions in the original metabolic model) for computational feasibility before scaling to larger ones.

        Inputs (from BiGG)

        This section shows how to extract relevant information from a BiGG metabolic model called e_coli_core.xml

        # Import file names
+im_sbml = "e_coli_core.xml"
+
+# Export file names
+ex_stoich                   = "stoich.csv"
+ex_metabolites_compartments = "metabolites-compartments.csv"
+ex_reactions                = "reactions.csv"
+ex_formulas                 = "metabolite-formulas.csv"
+
+# Packages
+using SBML, CSV, Tables
+
+# Load SBML model
+mdl = readSBML(im_sbml)
+metabolites, reactions, S = stoichiometry_matrix(mdl)
+
+# Dense stoichiometry matrix
+S = Array(S)
+
+# Metabolite names
+mets = [mdl.species[m].name for m in metabolites]
+mets = replace.(mets, " " => "_")
+
+# Metabolite names concatenated with compartment
+metsc = [#
+    join([mdl.species[m].name, mdl.species[m].compartment], "_")
+    for m in metabolites
+]
+metsc = replace.(metsc, " " => "_")
+
+# Metabolite formulas
+formulas = [mdl.species[m].formula for m in metabolites]
+formulas[isnothing.(formulas)] .= ""
+
+# Reaction names
+rxns = [mdl.reactions[r].name for r in reactions]
+
+# Export to text file
+CSV.write(ex_stoich, Tables.table(S), header = false)
+CSV.write(ex_metabolites, Tables.table(mets), header = false)
+CSV.write(ex_metabolites_compartments, Tables.table(metsc), header = false)
+CSV.write(ex_reactions, Tables.table(rxns), header = false)
+CSV.write(ex_formulas, Tables.table(formulas), header = false)

        Pre-processing inputs (for AEFM enumeration)

        This section pre-processes the BiGG inputs to meet the ACHMC requirements.

        # Import file names
+im_stoich = "stoich.csv"
+im_mets   = "metabolites-compartments.csv"
+im_rxns   = "reactions.csv"
+im_smiles = "smiles-isomeric.csv"
+
+# Export file names
+ex_stoich = "stoichiometry-matrix-processed.csv"
+ex_mets   = "metabolites-processed.csv"
+ex_rxns   = "reactions-processed.csv"
+ex_smiles = "smiles-isomeric-processed.csv"
+ex_reaction_smiles        = "reaction-smiles-processed.csv"
+ex_mapped_reaction_smiles = "mapped-reaction-smiles-strings-processed.csv"
+ex_dict_carbon            = "dictionary-atom-tracing-carbon.csv"
+
+# Packages
+using CSV, Tables, MarkovWeightedEFMs, BenchmarkTools
+
+## Load previous inputs
+# Stoichiometry matrix
+S = CSV.read(im_stoich, Tables.matrix, header = false)
+
+# Metabolites
+mets = vec(CSV.read(im_mets, Tables.matrix, header = false))
+
+# Reactions
+rxns = String.(vec(CSV.read(im_rxns, Tables.matrix, header = false)))
+
+## Pre-processing
+# (1) Identify problems with S/v inputs
+errors = find_atomic_chmc_input_errors(S)
+print(errors) # summary of errors associated with S
+
+# (2) Clean S inputs
+S2, mets2, rxns2 = correct_atomic_chmc_input_errors(errors, S, mets, rxns)
+print(find_atomic_chmc_input_errors(S2)) # confirm errors have been fixed
+
+# (3) Construct vector of smiles corresponding to the remaining metabolites in S
+# The SMILES strings for pseudometabolites with no defined chemical structure
+# are given an arbitrary SMILES of 'R' (or character that does not represent
+# a periodic table element)
+# SMILES strings matching S2
+smiles3 = vec(CSV.read(im_smiles, Tables.matrix, header = false))
+
+# (4) Remove pseudometabolites and reactions exceeding RXNMapper character limit
+S4, mets4, rxns4, smiles4, i4 = correct_atomic_chmc_input_smiles(#
+  S2, mets2, rxns2, smiles3
+)
+i4.dropped_rows_pseudometabolites # pseudometabolite rows removed from S2
+i4.dropped_cols_pseudometabolites # pseudometabolite reactions removed from S2
+i4.dropped_cols_rxnmapper_limit # reactions in S2 removed bc of RXNMapper limit
+print(find_atomic_chmc_input_errors(S4)) # confirm no errors
+
+# (5) Construct the reaction strings and map atoms via RXNMAPPER
+smiles5 = canonicalize_smiles(smiles4) # smiles strings must be canonicalized!
+rs5, ms5 = map_reaction_strings(S4, smiles5, rxns4, false)
+
+# (6) Precompute atom tracing dictionary (for carbons)
+amax = get_max_atoms(smiles5, :C)
+D_C = precompute_atom_tracing_dictionary(S4, ms5, amax, :C)
+
+# Export to text file
+CSV.write(ex_stoich, Tables.table(S4), header = false)
+CSV.write(ex_mets, Tables.table(mets4), header = false)
+CSV.write(ex_rxns, Tables.table(rxns4), header = false, quotestrings = true)
+CSV.write(ex_smiles, Tables.table(smiles5), header = false)
+CSV.write(ex_reaction_smiles, Tables.table(rs5), header = false)
+CSV.write(ex_mapped_reaction_smiles, Tables.table(ms5), header = false)
+CSV.write(ex_dict_carbon, D_C, header = false)

        Pre-processing inputs (for AEFM weight assignment)

        Assuming there is a steady state flux vector v, the pre-processing steps are slightly different:

        ## Pre-processing
+# (1) Identify problems with S/v inputs
+errors = find_atomic_chmc_input_errors(S, v)
+print(errors) # summary of errors associated with S/v
+
+# (2) Clean S/v inputs
+S2, v2, mets2, rxns2 = correct_atomic_chmc_input_errors(errors, S, v, mets, rxns)
+print(find_atomic_chmc_input_errors(S2, v2)) # confirm errors have been fixed
+
+# (3) Construct vector of smiles corresponding to the remaining metabolites in S
+smiles3 = vec(CSV.read(im_smiles, Tables.matrix, header = false))
+
+# (4) Remove pseudometabolites and reactions exceeding RXNMapper character limit
+S4, v4, mets4, rxns4, smiles4, i4 = correct_atomic_chmc_input_smiles(#
+  S2, v2, mets2, rxns2, smiles3
+)
+i4.dropped_rows_pseudometabolites # 33 pseudometabolite rows removed from S2
+i4.dropped_cols_pseudometabolites # 46 pseudometabolite reactions removed from S2
+i4.dropped_cols_rxnmapper_limit # 3 reactions in S2 removed bc of RXNMapper limit
+print(find_atomic_chmc_input_errors(S4, v4)) # confirm no errors
+
+# (5) Construct the reaction strings and map atoms via RXNMAPPER
+smiles5 = canonicalize_smiles(smiles4) # smiles strings must be canonicalized!
+rs5, ms5 = map_reaction_strings(S4, smiles5, rxns, false)
+
+# (6) Precompute atom tracing dictionary (for carbons)
+amax = get_max_atoms(smiles5, :C)
+D_C = precompute_atom_tracing_dictionary(S4, ms5, amax, :C)

        Enumerating AEFMs across all source metabolite carbons

        # Verbosity of AEFM enumeration function (provides a progress meter)
+verbose = true
+
+# File names
+stoich_loc = "stoichiometry-matrix-processed.csv"
+smiles_loc = "smiles-isomeric-processed.csv"
+mets_loc   = "metabolites-processed.csv"
+D_C_loc    = "dictionary-atom-tracing-carbon.csv"
+D_N_loc    = "dictionary-atom-tracing-nitrogen.csv"
+ms_loc     = "mapped-reaction-smiles-strings-processed.csv"
+rxns_loc   = "reactions-processed.csv"
+
+# Packages
+using CSV, Tables, MarkovWeightedEFMs, JLD2, Dates
+
+## Load final data
+# Load stoichiometry matrix
+S = Int16.(CSV.read(stoich_loc, Tables.matrix, header = false))
+
+# Load SMILES strings matching the stoichiometry rows
+smiles = vec(CSV.read(smiles_loc, Tables.matrix, header = false))
+
+# Load metabolites
+mets = vec(CSV.read(mets_loc, Tables.matrix, header = false))
+
+# Load atom tracing dictionary
+D_C = import_atom_tracing_dictionary(D_C_loc)
+
+# Load mapped reaction smiles strings
+ms = vec(CSV.read(#
+    ms_loc, Tables.matrix, delim = ';', ignoreemptyrows = false, header = false
+))
+g(x) = ismissing(x) ? "" : x
+ms = g.(ms)
+
+# Load reactions
+rxns = String.(vec(CSV.read(rxns_loc, Tables.matrix, header = false)))
+
+## Enumerate atomic efms
+# Identify indices of all source metabolites and number of carbons/nitrogens
+srcs = get_source_metabolites(Int16.(S))
+amax_C = get_max_atoms(smiles, :C)
+
+start_time = Dates.now()
+for k in eachindex(srcs)
+    res_dir = "$k-" * mets[srcs[k]]
+    isdir(res_dir) || mkdir(res_dir)
+    for l in 1:amax_C[srcs[k]]
+        I = (srcs[k], l, :C)
+        res = enumerate_atomic_efms(S, ms, I, D_C; verbose = verbose)
+    end
+end
+end_time = Dates.now()
+ttime = end_time - start_time
+
+@info "It took $ttime to enumerate all carbon AEFMs."

        Computing AEFM weights across all source metabolite carbons

        Decomposing fluxes onto AEFMs uses the function steady_state_efm_distribution() requires the steady state fluxes v:

        for k in eachindex(srcs)
+    res_dir = "$k-" * mets[srcs[k]]
+    isdir(res_dir) || mkdir(res_dir)
+    for l in 1:amax_C[srcs[k]]
+        I = (srcs[k], l, :C)
+        res = steady_state_efm_distribution(S, v, ms, I, D_C; verbose = verbose)
+    end
+end
        diff --git a/v2.0.2/tutorials/chmc-atomic-glucose-under-the-hood/index.html b/v2.0.2/tutorials/chmc-atomic-glucose-under-the-hood/index.html new file mode 100644 index 0000000..ab6e9d7 --- /dev/null +++ b/v2.0.2/tutorials/chmc-atomic-glucose-under-the-hood/index.html @@ -0,0 +1,200 @@ + +ACHMC (for AEFMs; under the hood) · MarkovWeightedEFMs.jl
        GitHub

        ACHMC (for AEFMs; under the hood)

        This section explains the pre-processing steps under the hood of preprocess_all_for_atomic_chmc() using the same multispecies reaction network from the previous tutorial.

        Toy multispecies network

        Inputs

        using MarkovWeightedEFMs
+S = [#
+  1 -1  0  0  0  0  0  0  0  0  0  0  0  0  0  0 # Glc
+  0 -1  0  0  0 -1  0  0  0  0  0  0  1  0  0  0 # ATP
+  0  1 -1  0 -1  0  0  0  0  0  0  0  0  0  0  0 # G6P
+  0  1  0  0  0  1  0  0  0  0  0  0  0 -1  0  0 # ADP
+  0  0  1 -1  0  0  0  0  0  0  0  0  0  0  0  0 # 6PG
+  0  0  0  0  1 -1  1  0  0  0  0  0  0  0  0  0 # F6P
+  0  0  0  0  0  0  1  0  0  0  0  0  0  0 -1  0 # Pi
+  0  0  0  0  0  0 -1  0  0  0  0  0  0  0  0  1 # H2O
+  0  0  0  0  0  1 -1 -1  0  0  0  0  0  0  0  0 # FDP
+  0  0  0  0  0  0  0  1 -1  1 -1  0  0  0  0  0 # G3P
+  0  0  0  0  0  0  0  1  1 -1  0 -1  0  0  0  0 # DHAP
+]
+
+v = [10, 10, 3, 3, 7, 8, 1, 7, 1, 1, 7, 7, 18, 18, 1, 1]
+
+mets = [#
+  "Glc",
+  "ATP",
+  "G6P",
+  "ADP",
+  "6PG",
+  "F6P",
+  "Pi",
+  "H2O",
+  "FDP",
+  "G3P",
+  "DHAP"
+]
+
+rxns = [#
+  "Source Glc",
+  "Hexokinase",
+  "G6P dehydrogenase",
+  "Sink 6PG",
+  "Phosphoglucose isomerase",
+  "6-phosphofructo-1-kinase",
+  "Fructose 1,6-bisphosphatase",
+  "Fructose-bisphosphate aldolase",
+  "Triose phosphate isomerase",
+  "Triose phosphate isomerase",
+  "Sink G3P",
+  "Sink DHAP",
+  "Source ATP",
+  "Sink ADP",
+  "Sink Pi",
+  "Source H2O"
+]
+
+smiles = [#
+  "C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)O",
+  "C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)OP(=O)(O)O)O)O)N",
+  "C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)OP(=O)(O)O",
+  "C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)O)O)O)N",
+  "O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O",
+  "C([C@H]([C@H]([C@@H](C(=O)CO)O)O)O)OP(=O)(O)O",
+  "[O-]P(=O)([O-])[O-]",
+  "O",
+  "C(C1C(C(C(O1)(COP(=O)(O)O)O)O)O)OP(=O)(O)O",
+  "C([C@H](C=O)O)OP(=O)(O)O",
+  "C(C(=O)COP(=O)(O)O)O"
+]
+
+atom = :C # carbon atom type for AEFMs

        We can check that the flux vector satisfies the steady state requirements.

        all(S * v .== 0) # should evaluate as true
        true

        Pre-processing steps

        Checking network structure

        The following functions check for issues with the inputs. The first function find_atomic_chmc_input_errors identifies possible problems with the stoichiometry matrix and flux vector.

        # Confirm there are no issues with stoichiometry matrix
+errors = find_atomic_chmc_input_errors(S, v)
        print(errors) # summary of errors associated with S/v
        ############################################################
+## ERROR CHECKING STOICHIOMETRY MATRIX AND FLUX VECTOR #####
+# (1)  SUM OF ABSOLUTE FLUX RECONSTRUCTION ERROR:
+#      0.0
+#      PASSED.
+# (2)  REACTIONS THAT ARE DUPLICATES:
+#      NONE.
+#      PASSED.
+# (3)  REACTIONS WTIH ZERO FLUX:
+#      NONE.
+#      PASSED.
+# (4)  REACTIONS WTIH NEGATIVE FLUX:
+#      NONE.
+#      PASSED.
+# (5)  INTERNAL REACTIONS W/ NON-INTEGER STOICHIOMETRIES:
+#      NONE.
+#      PASSED.
+# (6)  UNIMOLECULAR SOURCE REACTIONS W/ STOICH == 1:
+#      1, 13, 16
+#      PASSED.
+# (7)  UNIMOLECULAR SOURCE REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (8)  MULTIMOLECULAR SOURCE REACTIONS W/ STOICH == 1:
+#      NONE.
+#      PASSED.
+# (9)  MULTIMOLECULAR SOURCE REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (10) UNIMOLECULAR SINK REACTIONS W/ STOICH == 1:
+#      4, 11, 12, 14, 15
+#      PASSED.
+# (11) UNIMOLECULAR SINK REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (12) MULTIMOLECULAR SINK REACTIONS W/ STOICH == 1:
+#      NONE.
+#      PASSED.
+# (13) MULTIMOLECULAR SINK REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (14) REACTIONS W/ NO SUBSTRATES OR PRODUCTS:
+#      NONE.
+#      PASSED.
+# (15) # METABOLITES PARTICIPATING IN NO REACTIONS:
+#      NONE.
+#      PASSED.
+# STATUS:
+#      PASSED. THESE INPUTS SATISFY ATOMIC CHMC REQUIREMENTS.
+############################################################

        Correcting problems in network structure

        Any problems, except for the steady state flux requirement, can be addressed via correct_atomic_chmc_input_errors. 

        # S and v have no errors so the inputs are returned
+correct_atomic_chmc_input_errors(errors, S, mets, rxns)
+# S, mets, rxns = correct_atomic_chmc_input_errors(errors, S, mets, rxns) # otherwise

        Identifying unmappable reactions

        The next function correct_atomic_chmc_input_smiles checks and fixes problems relating to the SMILES strings. These problems are caused by RXNMapper being unable to map atoms in reactions with pseudometabolites or pseudoreactions with non-integer stoichiometries (e.g. biomass reaction). RXNMapper also has a character limit on reaction SMILES strings. These unmappable reactions are removed and the flux is balanced with unimolecular flux entering/exiting the associated reaction substrates/products.

        # Correct issues associated with RXNMapper character limit,
+# pseudometabolites and pseudoreactions
+S, v, mets, rxns, smiles, logs = correct_atomic_chmc_input_smiles(S, v, mets, rxns, smiles)

        At this point, the SMILES strings (matching the updated mets if there were errors in the initial inputs) should be canonicalized. S is also converted to a Matrix{Int16} which is a requirement for subsequent functions.

        smiles = canonicalize_smiles(smiles)
        smiles
        11-element Vector{String}:
+ "OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O"
+ "Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O"
+ "O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O"
+ "Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O"
+ "O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O"
+ "O=C(CO)[C@@H](O)[C@H](O)[C@H](O)COP(=O)(O)O"
+ "O=P([O-])([O-])[O-]"
+ "O"
+ "O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)C(O)C1O"
+ "O=C[C@H](O)COP(=O)(O)O"
+ "O=C(CO)COP(=O)(O)O"

        Atom mapping reactions

        The reaction SMILES strings rs are next constructed from the metabolite SMILES and the atom mapping is performed via RXNMapper and stored in ms.

        # Construct atom traced SMILES strings
+rs, ms = map_reaction_strings(S, smiles, rxns, false)
        rs
        16-element Vector{String}:
+ ">>OC[C@H]1OC(O)[C@H](O)[C@@H](O)[C@@H]1O"
+ "OC[C@H]1OC(O)[C@H](O)[C@@H](O)[" ⋯ 167 bytes ⋯ "(O)OP(=O)(O)O)[C@@H](O)[C@H]1O"
+ "O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[" ⋯ 34 bytes ⋯ "O)(O)O)[C@@H](O)[C@H](O)[C@H]1O"
+ "O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O>>"
+ "O=P(O)(O)OC[C@H]1OC(O)[C@H](O)[" ⋯ 30 bytes ⋯ "](O)[C@H](O)[C@H](O)COP(=O)(O)O"
+ "Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP" ⋯ 163 bytes ⋯ ")OCC1OC(O)(COP(=O)(O)O)C(O)C1O"
+ "O.O=P(O)(O)OCC1OC(O)(COP(=O)(O)" ⋯ 43 bytes ⋯ "COP(=O)(O)O.O=P([O-])([O-])[O-]"
+ "O=P(O)(O)OCC1OC(O)(COP(=O)(O)O)" ⋯ 19 bytes ⋯ ")COP(=O)(O)O.O=C(CO)COP(=O)(O)O"
+ "O=C[C@H](O)COP(=O)(O)O>>O=C(CO)COP(=O)(O)O"
+ "O=C(CO)COP(=O)(O)O>>O=C[C@H](O)COP(=O)(O)O"
+ "O=C[C@H](O)COP(=O)(O)O>>"
+ "O=C(CO)COP(=O)(O)O>>"
+ ">>Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O"
+ "Nc1ncnc2c1ncn2[C@@H]1O[C@H](COP(=O)(O)OP(=O)(O)O)[C@@H](O)[C@H]1O>>"
+ "O=P([O-])([O-])[O-]>>"
+ ">>O"
        ms
        16-element Vector{String}:
+ ""
+ "[OH:5][CH2:6][C@H:7]1[O:8][CH:9" ⋯ 587 bytes ⋯ "H:40]([OH:41])[C@H:42]1[OH:43]"
+ "[O:8]=[P:7]([OH:9])([OH:10])[O:" ⋯ 177 bytes ⋯ "H:13]([OH:14])[C@H:15]1[OH:16]"
+ ""
+ "[O:14]=[P:13]([OH:15])([OH:16])" ⋯ 178 bytes ⋯ "P:13](=[O:14])([OH:15])[OH:16]"
+ "[NH2:1][c:2]1[n:3][cH:4][n:5][c" ⋯ 640 bytes ⋯ "CH:44]([OH:45])[CH:46]1[OH:47]"
+ "[OH2:20].[O:17]=[P:18]([OH:19])" ⋯ 250 bytes ⋯ "P:18]([O-:19])([O-:20])[O-:21]"
+ "[O:18]=[P:17]([OH:19])([OH:20])" ⋯ 227 bytes ⋯ "P:17](=[O:18])([OH:19])[OH:20]"
+ "[O:4]=[CH:3][C@H:2]([OH:1])[CH2" ⋯ 73 bytes ⋯ ":6][P:7](=[O:8])([OH:9])[OH:10]"
+ "[O:1]=[C:2]([CH2:3][OH:4])[CH2:" ⋯ 73 bytes ⋯ ":6][P:7](=[O:8])([OH:9])[OH:10]"
+ ""
+ ""
+ ""
+ ""
+ ""
+ ""

        Identifying all source metabolite-atom positions

        The following code extracts the source metabolite indices in mets and computes the total number of carbon atoms of interest.

        # Total number of atom type across all metabolites
+atom_max = get_max_atoms(smiles, atom)
+
+# Identify source metabolite indices and copies of atom
+src_mets = get_source_metabolites(S)
+
+# Number of carbon atoms in each source metabolite
+max_src_mets_carbon = atom_max[src_mets]
        # Source metabolites
+mets[src_mets]
        3-element Vector{String}:
+ "Glc"
+ "ATP"
+ "H2O"
        # Carbons in each source metabolite
+max_src_mets_carbon
        3-element Vector{Int64}:
+  6
+ 10
+  0

        Enumerating metabolite-atom mappings across reactions

        We then precompute an atom tracing dictionary mapping the (carbon) atom in the stoichiometric copy of a substrate to its product atom position across each reaction.

        # Precompute atom tracing dictionary
+D_C = precompute_atom_tracing_dictionary(S, ms, atom_max, atom) # S must be Matrix{Int16}
        D_C
        Dict{NTuple{4, Int64}, Tuple{Int64, Int64}} with 62 entries:
+  (3, 2, 1, 3)  => (5, 2)
+  (2, 2, 1, 6)  => (4, 2)
+  (1, 2, 1, 2)  => (3, 2)
+  (2, 5, 1, 2)  => (4, 5)
+  (9, 1, 1, 7)  => (6, 2)
+  (6, 1, 1, 6)  => (9, 2)
+  (9, 1, 1, 8)  => (10, 1)
+  (3, 3, 1, 5)  => (6, 2)
+  (2, 9, 1, 6)  => (4, 9)
+  (3, 4, 1, 5)  => (6, 1)
+  (9, 2, 1, 7)  => (6, 1)
+  (2, 1, 1, 2)  => (4, 1)
+  (6, 2, 1, 6)  => (9, 1)
+  (9, 2, 1, 8)  => (10, 2)
+  (2, 8, 1, 2)  => (4, 8)
+  (3, 6, 1, 3)  => (5, 4)
+  (2, 6, 1, 6)  => (4, 6)
+  (2, 10, 1, 2) => (4, 10)
+  (1, 6, 1, 2)  => (3, 6)
+  ⋮             => ⋮

        Conclusion

        All of the code/functions described above are wrapped into preprocess_all_for_atomic_chmc(). If this wrapper function fails, you may need to step through these individual pre-processing functions to identify the error.

        diff --git a/v2.0.2/tutorials/chmc-atomic-glucose/index.html b/v2.0.2/tutorials/chmc-atomic-glucose/index.html new file mode 100644 index 0000000..562be1b --- /dev/null +++ b/v2.0.2/tutorials/chmc-atomic-glucose/index.html @@ -0,0 +1,218 @@ + +ACHMC (for AEFMs; quickstart) · MarkovWeightedEFMs.jl
        GitHub

        ACHMC (for AEFMs; quickstart)

        This section shows how to use the wrapper function in MarkovWeightedEFMs.jl to enumerate and assign AEFMs weights in a simple, multispecies reaction network.

        Toy multispecies network

        Inputs

        using MarkovWeightedEFMs
+S = [#
+  1 -1  0  0  0  0  0  0  0  0  0  0  0  0  0  0 # Glc
+  0 -1  0  0  0 -1  0  0  0  0  0  0  1  0  0  0 # ATP
+  0  1 -1  0 -1  0  0  0  0  0  0  0  0  0  0  0 # G6P
+  0  1  0  0  0  1  0  0  0  0  0  0  0 -1  0  0 # ADP
+  0  0  1 -1  0  0  0  0  0  0  0  0  0  0  0  0 # 6PG
+  0  0  0  0  1 -1  1  0  0  0  0  0  0  0  0  0 # F6P
+  0  0  0  0  0  0  1  0  0  0  0  0  0  0 -1  0 # Pi
+  0  0  0  0  0  0 -1  0  0  0  0  0  0  0  0  1 # H2O
+  0  0  0  0  0  1 -1 -1  0  0  0  0  0  0  0  0 # FDP
+  0  0  0  0  0  0  0  1 -1  1 -1  0  0  0  0  0 # G3P
+  0  0  0  0  0  0  0  1  1 -1  0 -1  0  0  0  0 # DHAP
+]
+
+v = [10, 10, 3, 3, 7, 8, 1, 7, 1, 1, 7, 7, 18, 18, 1, 1]
+
+mets = [#
+  "Glc",
+  "ATP",
+  "G6P",
+  "ADP",
+  "6PG",
+  "F6P",
+  "Pi",
+  "H2O",
+  "FDP",
+  "G3P",
+  "DHAP"
+]
+
+rxns = [#
+  "Source Glc",
+  "Hexokinase",
+  "G6P dehydrogenase",
+  "Sink 6PG",
+  "Phosphoglucose isomerase",
+  "6-phosphofructo-1-kinase",
+  "Fructose 1,6-bisphosphatase",
+  "Fructose-bisphosphate aldolase",
+  "Triose phosphate isomerase",
+  "Triose phosphate isomerase",
+  "Sink G3P",
+  "Sink DHAP",
+  "Source ATP",
+  "Sink ADP",
+  "Sink Pi",
+  "Source H2O"
+]
+
+smiles = [#
+  "C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)O",
+  "C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)OP(=O)(O)O)O)O)N",
+  "C([C@@H]1[C@H]([C@@H]([C@H](C(O1)O)O)O)O)OP(=O)(O)O",
+  "C1=NC(=C2C(=N1)N(C=N2)[C@H]3[C@@H]([C@@H]([C@H](O3)COP(=O)(O)OP(=O)(O)O)O)O)N",
+  "O=C1O[C@H](COP(=O)(O)O)[C@@H](O)[C@H](O)[C@H]1O",
+  "C([C@H]([C@H]([C@@H](C(=O)CO)O)O)O)OP(=O)(O)O",
+  "[O-]P(=O)([O-])[O-]",
+  "O",
+  "C(C1C(C(C(O1)(COP(=O)(O)O)O)O)O)OP(=O)(O)O",
+  "C([C@H](C=O)O)OP(=O)(O)O",
+  "C(C(=O)COP(=O)(O)O)O"
+]
+
+atom = :C # carbon atom type for AEFMs

        We can check that the flux vector satisfies the steady state requirements.

        all(S * v .== 0) # should evaluate as true
        true

        Pre-processing data (wrapper)

        The following function pre-processes the input metabolic network for computing the AEFM weights for the specified atom type.

        mdl, atom_info, logs = preprocess_all_for_atomic_chmc(S, v, mets, rxns, smiles, atom)

        The variable mdl is a NamedTuple containing the updated stoichiometry matrix, flux vector, metabolite/reaction names, metabolite SMILES strings, reaction SMILES strings, and mapped reaction SMILES strings.

        keys(mdl)
        (:S, :ms, :rxns, :v, :mets, :rs, :smiles)

        The variable logs contains details about input metabolic network in addition to listing the pseudometabolites and pseudoreactions dropped from the network based on the input SMILES strings.

        keys(logs)
        (:model_errors, :smiles_warnings)
        print(logs.model_errors)
        ############################################################
+## ERROR CHECKING STOICHIOMETRY MATRIX AND FLUX VECTOR #####
+# (1)  SUM OF ABSOLUTE FLUX RECONSTRUCTION ERROR:
+#      0.0
+#      PASSED.
+# (2)  REACTIONS THAT ARE DUPLICATES:
+#      NONE.
+#      PASSED.
+# (3)  REACTIONS WTIH ZERO FLUX:
+#      NONE.
+#      PASSED.
+# (4)  REACTIONS WTIH NEGATIVE FLUX:
+#      NONE.
+#      PASSED.
+# (5)  INTERNAL REACTIONS W/ NON-INTEGER STOICHIOMETRIES:
+#      NONE.
+#      PASSED.
+# (6)  UNIMOLECULAR SOURCE REACTIONS W/ STOICH == 1:
+#      1, 13, 16
+#      PASSED.
+# (7)  UNIMOLECULAR SOURCE REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (8)  MULTIMOLECULAR SOURCE REACTIONS W/ STOICH == 1:
+#      NONE.
+#      PASSED.
+# (9)  MULTIMOLECULAR SOURCE REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (10) UNIMOLECULAR SINK REACTIONS W/ STOICH == 1:
+#      4, 11, 12, 14, 15
+#      PASSED.
+# (11) UNIMOLECULAR SINK REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (12) MULTIMOLECULAR SINK REACTIONS W/ STOICH == 1:
+#      NONE.
+#      PASSED.
+# (13) MULTIMOLECULAR SINK REACTIONS W/ STOICH != 1:
+#      NONE.
+#      PASSED.
+# (14) REACTIONS W/ NO SUBSTRATES OR PRODUCTS:
+#      NONE.
+#      PASSED.
+# (15) # METABOLITES PARTICIPATING IN NO REACTIONS:
+#      NONE.
+#      PASSED.
+# STATUS:
+#      PASSED. THESE INPUTS SATISFY ATOMIC CHMC REQUIREMENTS.
+############################################################
        logs.smiles_warnings
        (dropped_rows_pseudometabolites = Int64[], dropped_cols_pseudometabolites = Int64[], dropped_cols_rxnmapper_limit = Int64[])

        The variable atom_info contains the indices of all source metabolites in the updated network and the number of occurrences for the input atom of interest. It also contains an atom-mapping dictionary relating substrate-atom positions to product-atom positions in each reaction. These are useful for programmatically computing AEFMs across all source metabolite-atom combinations of interest.

        keys(atom_info)
        (:D, :atom, :max_src_met_atoms, :src_mets)
        atom_info.src_mets # source metabolite indices
        3-element Vector{Int64}:
+ 1
+ 2
+ 8
        atom_info.max_src_met_atoms # counts of specified atom in each source metabolite
        3-element Vector{Int64}:
+  6
+ 10
+  0
        atom_info.D # atom-mapping dictionary
        Dict{NTuple{4, Int64}, Tuple{Int64, Int64}} with 62 entries:
+  (3, 2, 1, 3)  => (5, 2)
+  (2, 2, 1, 6)  => (4, 2)
+  (1, 2, 1, 2)  => (3, 2)
+  (2, 5, 1, 2)  => (4, 5)
+  (9, 1, 1, 7)  => (6, 2)
+  (6, 1, 1, 6)  => (9, 2)
+  (9, 1, 1, 8)  => (10, 1)
+  (3, 3, 1, 5)  => (6, 2)
+  (2, 9, 1, 6)  => (4, 9)
+  (3, 4, 1, 5)  => (6, 1)
+  (9, 2, 1, 7)  => (6, 1)
+  (2, 1, 1, 2)  => (4, 1)
+  (6, 2, 1, 6)  => (9, 1)
+  (9, 2, 1, 8)  => (10, 2)
+  (2, 8, 1, 2)  => (4, 8)
+  (3, 6, 1, 3)  => (5, 4)
+  (2, 6, 1, 6)  => (4, 6)
+  (2, 10, 1, 2) => (4, 10)
+  (1, 6, 1, 2)  => (3, 6)
+  ⋮             => ⋮

        Computing ACHMC for a given metabolite/carbon atom state

        The following atomic CHMC is rooted on the first carbon atom of the first source metabolite in the stoichiometry.

        I = (atom_info.src_mets[1], 1, atom) # initial state is 1st carbon of canonicalized glucose
+res = steady_state_efm_distribution(mdl.S, mdl.v, mdl.ms, I, atom_info.D; verbose = false) # S must be Matrix{Int16}
        res
        CHMCAtomicSummary((1, 1, :C), @NamedTuple{EFM::Vector{Int64}, Closures::Vector{Tuple{Int64, Int64}}}[(EFM = [6, 5, 6], Closures = [(6, 5)]), (EFM = [4, 1, 2, 5, 6, 7, 4], Closures = [(8, 1)]), (EFM = [4, 1, 2, 3, 4], Closures = [(4, 1)]), (EFM = [8, 7, 8], Closures = [(9, 7)]), (EFM = [4, 1, 2, 5, 6, 7, 8, 4], Closures = [(10, 1)])], [0.09000000000000001, 0.56, 0.27, 0.01, 0.07], [1.0, 6.222222222222222, 3.0, 0.11111111111111112, 0.7777777777777778], Dict{Int64, Tuple{Int16, Int16}}(5 => (6, 6), 4 => (0, 0), 6 => (9, 4), 7 => (11, 2), 2 => (3, 1), 8 => (10, 1), 3 => (5, 3), 1 => (1, 1)), Dict{Vector{Int16}, @NamedTuple{id::Int64, children::Vector{Int16}}}([1, 2, 5, 6, 7] => (id = 7, children = [8]), [1, 2, 5, 6] => (id = 6, children = [7]), [1, 2, 5, 6, 7, 4] => (id = 8, children = []), [1] => (id = 1, children = [2]), [1, 2, 3] => (id = 3, children = []), [1, 2, 3, 4] => (id = 4, children = []), [1, 2] => (id = 2, children = [3, 5]), [1, 2, 5] => (id = 5, children = [6]), [1, 2, 5, 6, 7, 8] => (id = 9, children = []), [1, 2, 5, 6, 7, 8, 4] => (id = 10, children = [])…), sparse([4, 8, 10, 1, 2, 3, 2, 6, 5, 6, 9, 7, 7, 9], [1, 1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10], [1.0, 1.0, 1.0, 1.0, 0.3, 1.0, 0.7, 0.125, 1.0, 0.875, 0.125, 0.875, 0.125, 0.875], 10, 10), @NamedTuple{i::Int64, j::Int64, k::Int16}[(i = 1, j = 2, k = 2), (i = 2, j = 3, k = 3), (i = 2, j = 5, k = 5), (i = 3, j = 4, k = 4), (i = 4, j = 1, k = 4), (i = 5, j = 6, k = 6), (i = 6, j = 5, k = 7), (i = 6, j = 7, k = 8), (i = 7, j = 8, k = 12), (i = 8, j = 1, k = 12), (i = 7, j = 9, k = 10), (i = 9, j = 10, k = 11), (i = 10, j = 1, k = 11), (i = 9, j = 7, k = 9)])

        If we only wanted to enumerate the AEFMs, we would run:

        res_enum = enumerate_atomic_efms(mdl.S, mdl.ms, I, atom_info.D, verbose = false)

        Both functions produce the same output structure res, except that the AEFM flux decomposition fields will be empty. The transition matrix will also default to uniformly distributed probabilities along each row.

        Output

        The output res is an immutable struct with 8 fields:

        res.i is a tuple storing (i) the source metabolite index, (ii) source metabolite atom index (based on canonicalized SMILES string), and (iii) the atom type. This is a copy of the variable I.

        res.i
        (1, 1, :C)

        res.e is an array of AEFMs with all corresponding simple cycle closures.

        res.e
        5-element Vector{@NamedTuple{EFM::Vector{Int64}, Closures::Vector{Tuple{Int64, Int64}}}}:
+ (EFM = [6, 5, 6], Closures = [(6, 5)])
+ (EFM = [4, 1, 2, 5, 6, 7, 4], Closures = [(8, 1)])
+ (EFM = [4, 1, 2, 3, 4], Closures = [(4, 1)])
+ (EFM = [8, 7, 8], Closures = [(9, 7)])
+ (EFM = [4, 1, 2, 5, 6, 7, 8, 4], Closures = [(10, 1)])

        res.p is an array of AEFM probabilities normalized to one.

        res.p
        5-element Vector{Float64}:
+ 0.09000000000000001
+ 0.56
+ 0.27
+ 0.01
+ 0.07

        res.w is an array of AEFM weights normalized by the (unimolecular) reaction flux of the source metabolite.

        res.w
        5-element Vector{Float64}:
+ 1.0
+ 6.222222222222222
+ 3.0
+ 0.11111111111111112
+ 0.7777777777777778

        res.dchmc is a dictionary storing the ACHMC. The keys are the ACHMC states (composed of Markov chain states in res.dmc). The values are the ACHMC state and the Markov chain state children.

        res.dchmc
        Dict{Vector{Int16}, @NamedTuple{id::Int64, children::Vector{Int16}}} with 10 entries:
+  [1, 2, 5, 6, 7]       => (id = 7, children = [8])
+  [1, 2, 5, 6]          => (id = 6, children = [7])
+  [1, 2, 5, 6, 7, 4]    => (id = 8, children = [])
+  [1]                   => (id = 1, children = [2])
+  [1, 2, 3]             => (id = 3, children = [])
+  [1, 2, 3, 4]          => (id = 4, children = [])
+  [1, 2]                => (id = 2, children = [3, 5])
+  [1, 2, 5]             => (id = 5, children = [6])
+  [1, 2, 5, 6, 7, 8]    => (id = 9, children = [])
+  [1, 2, 5, 6, 7, 8, 4] => (id = 10, children = [])

        res.dmc is a dictionary converting Markov chain states to metabolite-atom positions. The value (0, 0) always corresponds to the external environment sink node (which connects back to the source metabolite-atom state).

        res.dmc
        Dict{Int64, Tuple{Int16, Int16}} with 8 entries:
+  5 => (6, 6)
+  4 => (0, 0)
+  6 => (9, 4)
+  7 => (11, 2)
+  2 => (3, 1)
+  8 => (10, 1)
+  3 => (5, 3)
+  1 => (1, 1)

        res.T is a sparse array storing the ACHMC transition probability matrix.

        res.T
        10×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 14 stored entries:
+  ⋅   1.0   ⋅    ⋅    ⋅      ⋅    ⋅      ⋅      ⋅      ⋅ 
+  ⋅    ⋅   0.3   ⋅   0.7     ⋅    ⋅      ⋅      ⋅      ⋅ 
+  ⋅    ⋅    ⋅   1.0   ⋅      ⋅    ⋅      ⋅      ⋅      ⋅ 
+ 1.0   ⋅    ⋅    ⋅    ⋅      ⋅    ⋅      ⋅      ⋅      ⋅ 
+  ⋅    ⋅    ⋅    ⋅    ⋅     1.0   ⋅      ⋅      ⋅      ⋅ 
+  ⋅    ⋅    ⋅    ⋅   0.125   ⋅   0.875   ⋅      ⋅      ⋅ 
+  ⋅    ⋅    ⋅    ⋅    ⋅      ⋅    ⋅     0.875  0.125   ⋅ 
+ 1.0   ⋅    ⋅    ⋅    ⋅      ⋅    ⋅      ⋅      ⋅      ⋅ 
+  ⋅    ⋅    ⋅    ⋅    ⋅      ⋅   0.125   ⋅      ⋅     0.875
+ 1.0   ⋅    ⋅    ⋅    ⋅      ⋅    ⋅      ⋅      ⋅      ⋅

        res.R is an array of tuples storing the reaction index/indices mapped to each ACHMC transition matrix element.

        res.R
        14-element Vector{@NamedTuple{i::Int64, j::Int64, k::Int16}}:
+ (i = 1, j = 2, k = 2)
+ (i = 2, j = 3, k = 3)
+ (i = 2, j = 5, k = 5)
+ (i = 3, j = 4, k = 4)
+ (i = 4, j = 1, k = 4)
+ (i = 5, j = 6, k = 6)
+ (i = 6, j = 5, k = 7)
+ (i = 6, j = 7, k = 8)
+ (i = 7, j = 8, k = 12)
+ (i = 8, j = 1, k = 12)
+ (i = 7, j = 9, k = 10)
+ (i = 9, j = 10, k = 11)
+ (i = 10, j = 1, k = 11)
+ (i = 9, j = 7, k = 9)

        Converting AEFM to sequence of metabolites

        The corresponding AEFMs correspond to the movement of metabolite/atom states through the reaction network. We can convert these states into metabolites using get_efm_metabolite_atom_indices. Note that there is one fewer metabolite name than AEFM metabolite indices because the pseudometabolite (0, 0) linking sink and source reactions is omitted.

        # First AEFM
+efm_seq_1 = mets[first.(get_efm_metabolite_atom_indices(res, 1))]
        efm_seq_1
        3-element Vector{String}:
+ "FDP"
+ "F6P"
+ "FDP"
        # Second AEFM
+efm_seq_2 = mets[first.(get_efm_metabolite_atom_indices(res, 2))]
        efm_seq_2
        5-element Vector{String}:
+ "Glc"
+ "G6P"
+ "F6P"
+ "FDP"
+ "DHAP"

        Visualizing the CHMC and mapped reactions

        The following plotting function visualizes the ACHMC rooted on state I. This is only recommended for exploring ACHMCs of small networks.

        using GLMakie # Makie backend
+GLMakie.activate!()
+
+plot_atomic_chmc(res, S, mets, rs)

        Each node in the main panel corresponds to a CHMC state (metabolite and atomic index).

        ACHMC main panel

        Clicking on a CHMC transition will highlight that transition and display the corresponding metabolic reaction on the upper panel. The pair of purple highlighted atoms correspond to the movement of the same atom from the LHS to RHS of the reaction.

        ACHMC main and upper panel

        Finally, the reaction and mapped reaction SMILES strings can also be plotted as an SVG and previewed using a package like ElectronDisplay. If fname != "", the SVG is also saved to file. By default, fname == "" and the SVG is not saved. The default canvas width and height are 1420 by 580 (pixels) but these can be changed. If using ElectronDisplay and the image is cut off, try resizing the plotting window or reducing the canvas dimensions.

        using ElectronDisplay
+
+# Reaction string
+plot_mapped_reaction(rs[2], view=true, canvas_width = 1420, canvas_height = 580)
+#plot_mapped_reaction(rs[2], "\path\to\save\name.svg", view=true)

        Reaction SMILES string

        # Mapped reaction string
+plot_mapped_reaction(ms[2], view = true, canvas_width = 1420, canvas_height = 580)
+#plot_mapped_reaction(ms[2], "\path\to\save\name.svg", view = true)

        Mapped reaction SMILES string

        diff --git a/v2.0.2/tutorials/chmc-standard-ion-channels/index.html b/v2.0.2/tutorials/chmc-standard-ion-channels/index.html new file mode 100644 index 0000000..1888909 --- /dev/null +++ b/v2.0.2/tutorials/chmc-standard-ion-channels/index.html @@ -0,0 +1,85 @@ + +CHMC (ion channels) · MarkovWeightedEFMs.jl
        GitHub

        CHMC (ion channels)

        This section demonstrates how to use the functions in MarkovWeightedEFMs.jl to analyze the steady state dynamics of the following ion channel with three possible binding sites reproduced from (Bicknell and Goodhill)[https://doi.org/10.1073/pnas.1604090113].

        Markov chain model of IP3 receptor from Bicknell and Goodhill (https://doi.org/10.1073/pnas.1604090113)

        Markov state model of IP3 channel activity

        Rate constants

        using MarkovWeightedEFMs
+
+# Parameters
+c   = 0.1 # Ca2+ (uM)
+I   = 0.1 # IP3 (uM)
+a1  = 50
+a2  = 0.035
+a4  = 3.5
+a5  = 65
+a6  = 25
+a7  = 10
+a8  = 0.035
+a9  = 0.15
+a10 = 1.25
+a11 = 110
+b1  = 2.5
+b2  = 1.25
+b3  = 0.25
+b4  = 12.5
+b5  = 10
+b7  = 0.25
+b9  = 0.2
+b10 = 2.5
+b11 = 20
+K1  = b1 / a1
+K2  = b2 / a2
+K4  = b4 / a4
+K5  = b5 / a5
+K7  = b7 / a7
+K9  = b9 / a9
+K10 = b10 / a10
+a3  = (b3 * K4) / (K1 * K2)
+b6  = (a6 * K5 * K7) / K1
+b8  = (a8 * K2 * K10) / K9

        Generator and transition matrix

        # Markov transition rate matrix
+Q = [#
+  0  c*a6 0    I*a7 0    0    0  0    0    0
+  b6 0    c*a4 0    I*a1 0    0  0    0    0
+  0  b4   0    0    0    I*a3 0  0    0    0
+  b7 0    0    0    c*a5 0    a9 0    0    0
+  0  b1   0    b5   0    c*a2 0  a9   0    a11
+  0  0    b3   0    b2   0    0  0    a10  0
+  0  0    0    b9   0    0    0  c*a5 0    0
+  0  0    0    0    b9   0    b5 0    c*a8 0
+  0  0    0    0    0    b10  0  b8   0    0
+  0  0    0    0    b11  0    0  0    0    0
+];
+
+# Markov transition probability matrix
+T = Q ./ sum(Q, dims=2)
        10×10 Matrix{Float64}:
+ 0.0        0.714286   0.0        …  0.0         0.0         0.0
+ 0.26441    0.0        0.0481227     0.0         0.0         0.0
+ 0.0        0.996016   0.0           0.0         0.0         0.0
+ 0.0362319  0.0        0.0           0.0         0.0         0.0
+ 0.0        0.0203826  0.0           0.00122296  0.0         0.896835
+ 0.0        0.0        0.0909091  …  0.0         0.454545    0.0
+ 0.0        0.0        0.0           0.970149    0.0         0.0
+ 0.0        0.0        0.0           0.0         0.00034302  0.0
+ 0.0        0.0        0.0           0.428571    0.0         0.0
+ 0.0        0.0        0.0           0.0         0.0         0.0

        Enumerating EFMs and computing their probabilities

        The Markov state model contains 39 EFMs. If one were to simulate trajectories from this model for an infinite period of time and decompose these trajectories into simple cycles, the resulting frequencies would converge on the following EFM probabilities. For example, the active-inactive-active transition involving states 10-5-10 occurs ~83.8% of the time on average in this model.

        res = steady_state_efm_distribution(T);
+
+# EFMs/simple cycles and their corresponding probabilities
+reduce(hcat, [res.e, res.p])
        39×2 Matrix{Any}:
+ [8, 5, 8]                    0.000463084
+ [10, 5, 10]                  0.838116
+ [7, 8, 7]                    0.0564629
+ [6, 5, 8, 9, 6]              2.84498e-6
+ [6, 9, 6]                    1.82727e-5
+ [9, 8, 9]                    1.16059e-5
+ [2, 1, 4, 7, 8, 9, 6, 5, 2]  1.00348e-7
+ [2, 5, 2]                    0.0172035
+ [6, 3, 6]                    6.73059e-7
+ [2, 1, 4, 5, 6, 3, 2]        3.12821e-7
+ ⋮                            
+ [2, 1, 4, 5, 8, 9, 6, 3, 2]  5.35722e-8
+ [2, 1, 4, 7, 8, 9, 6, 3, 2]  1.01175e-7
+ [4, 1, 2, 3, 6, 5, 8, 7, 4]  2.79855e-9
+ [4, 1, 2, 3, 6, 9, 8, 7, 4]  1.01175e-7
+ [2, 1, 4, 5, 2]              0.00182393
+ [2, 1, 4, 7, 8, 5, 2]        1.63344e-5
+ [4, 1, 2, 3, 6, 9, 8, 5, 4]  5.35722e-8
+ [4, 1, 2, 5, 4]              0.00182393
+ [4, 1, 2, 5, 8, 7, 4]        1.63344e-5

        Visualizing the CHMC

        The blue node represents state 1 and is the root of the tree. All green nodes return back to the blue node but these arrows are hidden to limit visual clutter.

        using GLMakie
+GLMakie.activate!()
+plot_chmc(T, 1) # arbitrarily rooted on state 1

        diff --git a/v2.0.2/tutorials/chmc-standard-metabolic-networks/index.html b/v2.0.2/tutorials/chmc-standard-metabolic-networks/index.html new file mode 100644 index 0000000..37d01d7 --- /dev/null +++ b/v2.0.2/tutorials/chmc-standard-metabolic-networks/index.html @@ -0,0 +1,42 @@ + +CHMC (metabolic networks) · MarkovWeightedEFMs.jl
        GitHub

        CHMC (metabolic networks)

        This section demonstrates how to use the functions in MarkovWeightedEFMs.jl to analyze the following unimolecular reaction network.

        Example unimolecular reaction network

        Problem statement

        Given the metabolic network above, its steady state fluxes, and its elementary flux modes (EFMs), what is the set of EFM weights that reconstructs the observed network fluxes?

        Inputs

        For this type of problem, we require the following:

        1. Stoichiometry matrix of unimolecular reactions (must be unimolecular and strongly-connected; either open or closed loop)
        2. Steady state fluxes along each reaction.

        The network metabolites and reactions are typically encoded in an $m$ by $r$ stoichiometry matrix S. The steady state flux vector is stored as a separate vector.

        using MarkovWeightedEFMs # load package
+
+# Stoichiometry matrix and flux vector for the example network
+S = [#
+ -1  0  0  0  0  0  0  0  0  0  1
+  1 -1  1 -1  0  0  0  0  0  0  0
+  0  1 -1  0 -1  1  0  0  0  0  0
+  0  0  0  1  0  0 -1  0  0  0  0
+  0  0  0  0  1 -1  1 -1 -1  1  0
+  0  0  0  0  0  0  0  1  0  0 -1
+  0  0  0  0  0  0  0  0  1 -1  0
+]
+v = [3, 2, 1, 2, 3, 2, 2, 3, 1, 1, 3]

        We can check that the flux vector satisfies the steady state requirements.

        all(S * v .== 0) # should evaluate as true
        true

        Solving for EFM sequences, probabilities, and weights

        The following function applies our (discrete-time) cycle-history Markov chain (CHMC) method to compute the network EFMs, their steady state EFM probabilities, and weights. By default, the last parameter is 1 and can be omitted from the function. This parameter is the (arbitrary) initial state to root the CHMC. The choice of root state does not change the EFM probabilities or weights and is explained further in the section below.

        res = steady_state_efm_distribution(S, v, 1)
        CHMCStandardSummary([[3, 2, 3], [6, 1, 2, 3, 5, 6], [3, 2, 4, 5, 3], [3, 5, 3], [7, 5, 7], [6, 1, 2, 4, 5, 6]], [0.10638297872340424, 0.19148936170212763, 0.042553191489361694, 0.2553191489361702, 0.14893617021276592, 0.2553191489361702], [0.7142857142857143, 1.2857142857142858, 0.2857142857142857, 1.7142857142857144, 0.9999999999999999, 1.7142857142857144])

        The enumerated EFM sequences are

        res.e
        6-element Vector{Vector{Int64}}:
+ [3, 2, 3]
+ [6, 1, 2, 3, 5, 6]
+ [3, 2, 4, 5, 3]
+ [3, 5, 3]
+ [7, 5, 7]
+ [6, 1, 2, 4, 5, 6]

        The corresponding EFM probabilities are

        res.p
        6-element Vector{Float64}:
+ 0.10638297872340424
+ 0.19148936170212763
+ 0.042553191489361694
+ 0.2553191489361702
+ 0.14893617021276592
+ 0.2553191489361702

        The corresponding EFM weights are

        res.w
        6-element Vector{Float64}:
+ 0.7142857142857143
+ 1.2857142857142858
+ 0.2857142857142857
+ 1.7142857142857144
+ 0.9999999999999999
+ 1.7142857142857144

        We can check that the EFM weights reconstruct the observed network fluxes

        E = reshape_efm_vector(res.e, S) # matrix of EFM weights
+E * res.w ≈ v # passes
        true

        A binary EFM matrix with rows = # reactions and columns = # EFMs can be converted back to the array of EFM sequences by

        reshape_efm_matrix(E, S)
        6-element Vector{Vector{Int64}}:
+ [2, 3, 2]
+ [1, 2, 3, 5, 6, 1]
+ [3, 2, 4, 5, 3]
+ [3, 5, 3]
+ [5, 7, 5]
+ [1, 2, 4, 5, 6, 1]

        Visualizing the CHMC

        The following plotting function visualizes the CHMC rooted on a metabolite state (1 by default).

        using GLMakie # Makie backend
+GLMakie.activate!()
+T = stoichiometry_to_transition_matrix(S, v)
+plot_chmc(T, 1) # the last parameter is the rooted metabolite index

        If using the GLMakie backend, ensure OpenGL is installed on your machine and accessible by Julia. The GLMakie plot is interactive and allows users to drag nodes and zoom in/out. Otherwise, you could choose another backend such as CairoMakie to generate and save a static plot. A prettier, hand-coded version of the transformed network is shown below.

        The blue node is the root of the tree and the green nodes indicate that there is an edge back up to the root. By default, these arrows are omitted to avoid cluttering the plot.

        diff --git a/versions.js b/versions.js index a61d926..a64c825 100644 --- a/versions.js +++ b/versions.js @@ -6,5 +6,5 @@ var DOC_VERSIONS = [ "v1.0", "dev", ]; -var DOCUMENTER_NEWEST = "v2.0.1"; +var DOCUMENTER_NEWEST = "v2.0.2"; var DOCUMENTER_STABLE = "stable";

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