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yurchisin committed Nov 14, 2024
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"### Michaelis-Menten Enzyme Kinetics\n",
"[Michaelis-Menten](https://en.wikipedia.org/wiki/Michaelis%E2%80%93Menten_kinetics) kinetics describes how quickly a reaction happens when an enzyme—a type of molecule that speeds up processes in the body or other reactions—interacts with other molecules. Initially, as the amount of molecules $x$ increases, the reaction speed, $y$, increases. But at a certain point, adding more molecules doesn’t increase the speed much because the enzyme is already working as fast as it can.\n",
"\n",
"![image.png](https://raw.githubusercontent.com/Gurobi/modeling-examples/master/optimization202/Modeling_Session_1/mm.png)\n",
"<img src=\"https://raw.githubusercontent.com/Gurobi/modeling-examples/master/optimization202/Modeling_Session_1/mm.png\" alt=\"Image\" width=\"600\"/>\n",
"\n",
"Two key things come from this: the maximum speed the enzyme can reach $V_{max}$ and the concentration level at which it’s working at half that maximum speed $K_m$. These insights help us understand efficiency and limitations, which is valuable for making decisions in fields like drug development, where knowing an enzyme's limits can guide dosage or predict interactions.\n",
"\n",
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Original file line number Diff line number Diff line change
Expand Up @@ -115,7 +115,7 @@
"### Michaelis-Menten Enzyme Kinetics\n",
"[Michaelis-Menten](https://en.wikipedia.org/wiki/Michaelis%E2%80%93Menten_kinetics) kinetics describes how quickly a reaction happens when an enzyme—a type of molecule that speeds up processes in the body or other reactions—interacts with other molecules. Initially, as the amount of molecules $x$ increases, the reaction speed, $y$, increases. But at a certain point, adding more molecules doesn’t increase the speed much because the enzyme is already working as fast as it can.\n",
"\n",
"![image.png](https://raw.githubusercontent.com/Gurobi/modeling-examples/master/optimization202/Modeling_Session_1/mm.png)\n",
"<img src=\"https://raw.githubusercontent.com/Gurobi/modeling-examples/master/optimization202/Modeling_Session_1/mm.png\" alt=\"Image\" width=\"600\"/>\n",
"\n",
"Two key things come from this: the maximum speed the enzyme can reach $V_{max}$ and the concentration level at which it’s working at half that maximum speed $K_m$. These insights help us understand efficiency and limitations, which is valuable for making decisions in fields like drug development, where knowing an enzyme's limits can guide dosage or predict interactions.\n",
"\n",
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