diff --git a/optimization202/Modeling_Session_1/completed_nonlinear_regression_exercise.ipynb b/optimization202/Modeling_Session_1/completed_nonlinear_regression_exercise.ipynb index f4fcd1e..417f661 100755 --- a/optimization202/Modeling_Session_1/completed_nonlinear_regression_exercise.ipynb +++ b/optimization202/Modeling_Session_1/completed_nonlinear_regression_exercise.ipynb @@ -108,11 +108,6 @@ ] }, { - "attachments": { - "dfac2263-b4f3-4d9f-808d-c0d7b34ad8e6.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "id": "f6ad2892-6047-4bb5-bfea-0c66e01cc80e", "metadata": {}, @@ -120,7 +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](attachment:dfac2263-b4f3-4d9f-808d-c0d7b34ad8e6.png)\n", + "![image.png](https://raw.githubusercontent.com/Gurobi/modeling-examples/master/optimization202/Modeling_Session_1/mm.png)\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", diff --git a/optimization202/Modeling_Session_1/nonlinear_regression_exercise.ipynb b/optimization202/Modeling_Session_1/nonlinear_regression_exercise.ipynb index c584392..7125659 100755 --- a/optimization202/Modeling_Session_1/nonlinear_regression_exercise.ipynb +++ b/optimization202/Modeling_Session_1/nonlinear_regression_exercise.ipynb @@ -108,11 +108,6 @@ ] }, { - "attachments": { - "dfac2263-b4f3-4d9f-808d-c0d7b34ad8e6.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "id": "f6ad2892-6047-4bb5-bfea-0c66e01cc80e", "metadata": {}, @@ -120,7 +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](attachment:dfac2263-b4f3-4d9f-808d-c0d7b34ad8e6.png)\n", + "![image.png](https://raw.githubusercontent.com/Gurobi/modeling-examples/master/optimization202/Modeling_Session_1/mm.png)\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",