{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f0b8d695-769d-422f-87b1-52cf4ff460b0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/jordanhobbs/Desktop/Systems Biology/minicourse/bin/python\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "print(sys.executable)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e2b1f512-46e4-43b1-8b24-c555d3aac0d3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matplotlib backend set to: \"module://ipympl.backend_nbagg\"\n",
      "Matplotlib interface loaded (pysces.plt.m)\n",
      "Pitcon routines available\n",
      "NLEQ2 routines available\n",
      "SBML support available\n",
      "You are using NumPy (2.4.2) with SciPy (1.17.1)\n",
      "RateChar is available\n",
      "Parallel scanner is available\n",
      "\n",
      "PySCeS environment\n",
      "******************\n",
      "pysces.model_dir = /Users/jordanhobbs/Pysces/psc\n",
      "pysces.output_dir = /Users/jordanhobbs/Pysces\n",
      "\n",
      "\n",
      "***********************************************************************\n",
      "* Welcome to PySCeS (1.2.3) - Python Simulator for Cellular Systems   *\n",
      "*                http://pysces.sourceforge.net                        *\n",
      "* Copyright(C) B.G. Olivier, J.M. Rohwer, J.-H.S. Hofmeyr, 2004-2025  *\n",
      "* Triple-J Group for Molecular Cell Physiology                        *\n",
      "* Stellenbosch University, ZA and VU University Amsterdam, NL         *\n",
      "* PySCeS is distributed under the PySCeS (BSD style) licence, see     *\n",
      "* LICENCE.txt (supplied with this release) for details                *\n",
      "* Please cite PySCeS with: doi:10.1093/bioinformatics/bti046          *\n",
      "***********************************************************************\n",
      "Enabling pandas globally...\n"
     ]
    }
   ],
   "source": [
    "# preliminaries\n",
    "%matplotlib widget\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import scipy as sp\n",
    "import scipy.optimize\n",
    "import scipy.stats\n",
    "import pandas as pd\n",
    "import os\n",
    "from lmfit import Model\n",
    "from numdifftools import Derivative\n",
    "import pysces\n",
    "backupdir = os.getcwd()\n",
    "pysces.enablePandas(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64bd99c3-542a-4c47-8daa-842c9c4a4c22",
   "metadata": {},
   "source": [
    "# Question 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "98284e54-5b0b-4c5d-b1c5-e68c2a12702a",
   "metadata": {},
   "outputs": [],
   "source": [
    "A05 = pd.read_csv('A0.5B24.csv', names= ['Time', 'NADPH'])\n",
    "A1 = pd.read_csv('A1B24.csv', names= ['Time', 'NADPH'])\n",
    "A2 = pd.read_csv('A2B24.csv', names= ['Time', 'NADPH'])\n",
    "A4 = pd.read_csv('A4B24.csv', names= ['Time', 'NADPH'])\n",
    "A8 = pd.read_csv('A8B24.csv', names= ['Time', 'NADPH'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "701f1fec-aac5-47f3-88ce-62cc45333bb9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x118775e80>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ccc6239506ea4e7399b797d373236364",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(A05.Time, A05.NADPH, label = 'A=0.5')\n",
    "ax.plot(A1.Time,A1.NADPH, label = 'A=1')\n",
    "ax.plot(A2.Time, A2.NADPH, label = 'A=2')\n",
    "ax.plot(A4.Time, A4.NADPH, label = 'A=4')\n",
    "ax.plot(A8.Time, A8.NADPH, label = 'A=8')\n",
    "ax.set_xlabel('Time')\n",
    "ax.set_ylabel('NADPH')\n",
    "ax.legend(loc = 'best')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "27b636aa-6d94-4ff6-a706-07abdbceb176",
   "metadata": {},
   "outputs": [],
   "source": [
    "B15 = pd.read_csv('A8B1.5.csv', names= ['Time', 'NADPH'])\n",
    "B3 = pd.read_csv('A8B3.csv', names= ['Time', 'NADPH'])\n",
    "B6 = pd.read_csv('A8B6.csv', names= ['Time', 'NADPH'])\n",
    "B12 = pd.read_csv('A8B12.csv', names= ['Time', 'NADPH'])\n",
    "B24 = pd.read_csv('A8B24.csv', names= ['Time', 'NADPH'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "6370f460-4291-4135-8118-04449fc6ff85",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1185db770>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f207d733fc304740a48db31be9d6c211",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(B15.Time, B15.NADPH, label = 'B=1.5')\n",
    "ax.plot(B3.Time,B3.NADPH, label = 'B=3')\n",
    "ax.plot(B6.Time, B6.NADPH, label = 'B=6')\n",
    "ax.plot(B12.Time, B12.NADPH, label = 'B=12')\n",
    "ax.plot(B24.Time, B24.NADPH, label = 'B=24')\n",
    "ax.set_xlabel('Time')\n",
    "ax.set_ylabel('NADPH')\n",
    "ax.legend(loc = 'best')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e7a7612-b43b-4bf3-b76f-b90ece67d9fb",
   "metadata": {},
   "source": [
    "# Question 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fc842c72-db7a-45c2-bce3-399bfc6b7552",
   "metadata": {},
   "outputs": [],
   "source": [
    "A0B0 = pd.read_csv('A0B0.csv', names= ['Time', 'NADPH'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "cdd1ebf8-cfb9-4c89-8744-279b944cb6ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "regA0B0 = sp.stats.linregress(A0B0.Time, A0B0.NADPH)\n",
    "regA05 = sp.stats.linregress(A05.Time, A05.NADPH)\n",
    "regA1 = sp.stats.linregress(A1.Time, A1.NADPH)\n",
    "regA2 = sp.stats.linregress(A2.Time, A2.NADPH)\n",
    "regA4 = sp.stats.linregress(A4.Time, A4.NADPH)\n",
    "regA8 = sp.stats.linregress(A8.Time, A8.NADPH)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "bde211da-a58a-4dc8-b97d-f1543bc2d1e1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.004954646341627727\n",
      "0.24118661159479945\n",
      "0.35263044490832535\n",
      "0.5746500696105541\n",
      "0.7322856639928835\n",
      "0.8250788434733142\n"
     ]
    }
   ],
   "source": [
    "regressionsA = [regA0B0, regA05, regA1, regA2, regA4, regA8]\n",
    "ratesA = []\n",
    "for reg in regressionsA:\n",
    "    print (reg.slope)\n",
    "    ratesA.append(reg.slope)\n",
    "#ratesA = np.array(rates)\n",
    "#ratesA"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12035180-980d-4b65-8510-e0555f7bb6d6",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "abb05c8b-296d-4f60-b34c-9a36beb31751",
   "metadata": {},
   "outputs": [],
   "source": [
    "regB15 = sp.stats.linregress(B15.Time, B15.NADPH)\n",
    "regB3 = sp.stats.linregress(B3.Time, B3.NADPH)\n",
    "regB6 = sp.stats.linregress(B6.Time, B6.NADPH)\n",
    "regB12 = sp.stats.linregress(B12.Time, B12.NADPH)\n",
    "regB24 = sp.stats.linregress(B24.Time, B24.NADPH)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "107212b7-3655-4777-8f51-d2996ead807a",
   "metadata": {},
   "source": [
    "# Question 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "a647529c-592e-41be-9473-fb16902537ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.004954646341627727\n",
      "0.24118661159479945\n",
      "0.35263044490832535\n",
      "0.5746500696105541\n",
      "0.7322856639928835\n",
      "0.25422083243133853\n",
      "0.3679535702854621\n",
      "0.5564088293747241\n",
      "0.701203980466376\n",
      "0.8250788434733142\n"
     ]
    }
   ],
   "source": [
    "regressions = [regA0B0, regA05, regA1, regA2, regA4, regB15, regB3, regB6, regB12, regB24 ]\n",
    "rates = []\n",
    "for reg in regressions:\n",
    "    print (reg.slope)\n",
    "    rates.append(reg.slope)\n",
    "rates = np.array(rates)\n",
    "\n",
    "\n",
    "#ratesAB.append(ratesA)\n",
    "#ratesAB.append(ratesB)\n",
    "#ratesAbf = np.array(ratesAB)\n",
    "#ratesAbf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "08632bfb-542d-4bd1-b6aa-3879e4c39c24",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "      <th>rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.004955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.5</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.241187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.352630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.574650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.732286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>8.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.254221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>8.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.367954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.556409</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.701204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>8.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.825079</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     A     B      rate\n",
       "0  0.0   0.0  0.004955\n",
       "1  0.5  24.0  0.241187\n",
       "2  1.0  24.0  0.352630\n",
       "3  2.0  24.0  0.574650\n",
       "4  4.0  24.0  0.732286\n",
       "5  8.0  24.0  0.254221\n",
       "6  8.0   1.5  0.367954\n",
       "7  8.0   3.0  0.556409\n",
       "8  8.0   6.0  0.701204\n",
       "9  8.0  12.0  0.825079"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "concA = np.array([0, 0.5, 1, 2, 4, 8, 8, 8, 8, 8])\n",
    "concB = np.array([0, 24, 24, 24, 24, 24, 1.5, 3, 6, 12])\n",
    "s_v = pd.DataFrame({'A': concA,'B':concB, 'rate': rates})\n",
    "s_v\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "549e81e1-d1b7-4202-bb46-0f92902c1285",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "b1e1dcc4-83e7-45d9-adb5-9eb5845e786f",
   "metadata": {},
   "source": [
    "# Question 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "91d80f02-29ea-4daf-aa5a-72ebbd710349",
   "metadata": {},
   "outputs": [],
   "source": [
    "def MM(vf, Ka, Kb):\n",
    "    numerator = vf * (a*b)\n",
    "    denominator = (Ka + a) * (Kb + b)\n",
    "    return numerator/denominator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "9ee8f6ac-a129-471b-b17b-bfc657f6d63f",
   "metadata": {},
   "outputs": [],
   "source": [
    "mymod = Model(MM)\n",
    "mypar = mymod.make_params(Ka=1, Kb=1, vf = 1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "87c229e7-dd4e-480d-a96a-1ac37ec997c1",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jordanhobbs/Desktop/Systems Biology/minicourse/lib/python3.14/site-packages/lmfit/model.py:1127: UserWarning: The keyword argument a does not match any arguments of the model function. It will be ignored.\n",
      "  warnings.warn(f\"The keyword argument {name} does not \" +\n",
      "/Users/jordanhobbs/Desktop/Systems Biology/minicourse/lib/python3.14/site-packages/lmfit/model.py:1127: UserWarning: The keyword argument b does not match any arguments of the model function. It will be ignored.\n",
      "  warnings.warn(f\"The keyword argument {name} does not \" +\n"
     ]
    },
    {
     "ename": "ValueError",
     "evalue": "'Missing independent variable 'vf'",
     "output_type": "error",
     "traceback": [
      "\u001b[31m---------------------------------------------------------------------------\u001b[39m",
      "\u001b[31mValueError\u001b[39m                                Traceback (most recent call last)",
      "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[55]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m myfit = \u001b[43mmymod\u001b[49m\u001b[43m.\u001b[49m\u001b[43mfit\u001b[49m\u001b[43m(\u001b[49m\u001b[43mrates\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmypar\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43ma\u001b[49m\u001b[43m=\u001b[49m\u001b[43mconcA\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\u001b[43m=\u001b[49m\u001b[43mconcB\u001b[49m\u001b[43m,\u001b[49m\u001b[43m)\u001b[49m\n",
      "\u001b[36mFile \u001b[39m\u001b[32m~/Desktop/Systems Biology/minicourse/lib/python3.14/site-packages/lmfit/model.py:1162\u001b[39m, in \u001b[36mModel.fit\u001b[39m\u001b[34m(self, data, params, weights, method, iter_cb, scale_covar, verbose, fit_kws, nan_policy, calc_covar, max_nfev, coerce_farray, **kwargs)\u001b[39m\n\u001b[32m   1160\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m var \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m params \u001b[38;5;129;01mand\u001b[39;00m var \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.opts:\n\u001b[32m   1161\u001b[39m     \u001b[38;5;28;01mif\u001b[39;00m var \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m kwargs:\n\u001b[32m-> \u001b[39m\u001b[32m1162\u001b[39m         \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33m'\u001b[39m\u001b[33mMissing independent variable \u001b[39m\u001b[33m'\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mvar\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m'\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m   1163\u001b[39m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m np.isscalar(kwargs[var]):\n\u001b[32m   1164\u001b[39m         kwargs[var] = _align(kwargs[var], mask, data)\n",
      "\u001b[31mValueError\u001b[39m: 'Missing independent variable 'vf'"
     ]
    }
   ],
   "source": [
    "myfit = mymod.fit(rates, mypar, a=concA, b=concB,)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cd9d02b5-3743-4128-87f2-14a43e3ce74e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "3669282a-64da-448a-8005-dc6ae57a01b9",
   "metadata": {},
   "source": [
    "# Question 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "4c183465-2c3b-435b-bace-8935d67e0790",
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'myfit' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[31m---------------------------------------------------------------------------\u001b[39m",
      "\u001b[31mNameError\u001b[39m                                 Traceback (most recent call last)",
      "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[29]\u001b[39m\u001b[32m, line 3\u001b[39m\n\u001b[32m      1\u001b[39m fig, ax = plt.subplots()\n\u001b[32m      2\u001b[39m ax.plot(s_v.A, s_v.rate, \u001b[33m'\u001b[39m\u001b[33mo\u001b[39m\u001b[33m'\u001b[39m, label=\u001b[33m'\u001b[39m\u001b[33mdata\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m----> \u001b[39m\u001b[32m3\u001b[39m ax.plot(concA, \u001b[43mmyfit\u001b[49m.eval(a=concA), label=\u001b[33m'\u001b[39m\u001b[33mfit\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m      5\u001b[39m ax.plot(s_v.B, s_v.rate, \u001b[33m'\u001b[39m\u001b[33mo\u001b[39m\u001b[33m'\u001b[39m, label=\u001b[33m'\u001b[39m\u001b[33mdata\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m      6\u001b[39m ax.plot(concB, myfit.eval(b=concB), label=\u001b[33m'\u001b[39m\u001b[33mfit\u001b[39m\u001b[33m'\u001b[39m)\n",
      "\u001b[31mNameError\u001b[39m: name 'myfit' is not defined"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "379a7600f0c64aec89e1696a6016b4d8",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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AeOjQodi6dWssWLCgp23UqFHF+ebNmw/7uE996lMxYcKEuPTSS4fpTgEAau+YKIG9e/cWo3kTJ07s057OH3vssQEf8+Mf/zjuuOOO+OUvf3nU/52DBw8WR7eOjo5B3DUAQG2UYgTw77Vv3754z3veE7fffnuMHz/+qB+3atWqaGpq6jmmTJkypPcJADAUSjECmELc6NGjY9euXX3a03lzc/OL+v/+978vNn8sWrSop62rq6v485hjjonHH388pk2b9qLHrVixotho0nsEUAgEAEaaUgTAMWPGxOzZs2PTpk09pVxSoEvnV1555Yv6n3baafHrX/+6T9v1119fjAzecssthw11Y8eOLQ4AgJGsFAEwSSNzS5cujTlz5sTcuXNj9erVsX///mJXcLJkyZKYPHlyMY2b6gROnz69z+OPP/744s/+7QAAZVOaALh48eLYs2dPrFy5Mtra2mLmzJmxcePGno0h27dvL3YGAwDkrqFSqVRqfRMjVVoDmDaDtLe3x7hx42p9OwDAUejw/p3nLmAAgJwJgAAAmSnNGkAAoBw6uyqx5alnY/e+AzHhuMaYe8qJMXpUQ61vq1QEQACgbmx8eGfccN8jsbP9QE/bpKbGaF3UEudPn1TTeysTU8AAQN2Ev8vXb+sT/pK29gNFe7pOdQiAAEBdTPumkb+BSpN0t6XrqR+DJwACADWX1vz1H/nrLcW+dD31Y/AEQACg5tKGj2r248hsAmHY2d0FQH9pt281+3FkAiDDyu4uAAaSSr2k3b5pw8dAq/xSEZjmpr+WhGHwTAEzbOzuAuBwUp2/VOol6V/xr/s8XVcPsDoEQIaF3V0A/F9Snb+1l8wqRvp6S+epXR3A6jEFTN3t7po/7SSvCkCmUsg7t6XZJ4EMMQGQYWF3FwBHK03zGgwYWqaAGRZ2dwFA/RAAGdbdXYf7KO/Unq7b3QUAQ08AZFjY3QUA9UMAZNjY3QUA9cEmEIaV3V0AUHsCIMPO7i4AqC1TwAAAmREAAQAyIwACAGRGAAQAyIwACACQGQEQACAzAiAAQGYEQACAzAiAAACZEQABADIjAAIAZEYABADIjAAIAJAZARAAIDMCIABAZgRAAIDMCIAAAJkRAAEAMiMAAgBkRgAEAMiMAAgAkBkBEAAgMwIgAEBmBEAAgMwIgAAAmREAAQAyIwACAGRGAAQAyMwxtb4BAIDeOrsqseWpZ2P3vgMx4bjGmHvKiTF6VIMvUhUJgABA3dj48M644b5HYmf7gZ62SU2N0bqoJc6fPqmm91YmpoABgLoJf5ev39Yn/CVt7QeK9nSd6hAAAYC6mPZNI3+VAa51t6XrqR+DJwACADWX1vz1H/nrLcW+dD31Y/AEQACg5tKGj2r248hsAsFuKwBqLu32rWY/jkwAzJzdVgDUg1TqJe32TRs+Blrll4rANDf9tSQMg2cKOGN2WwFQL1Kdv1TqJelf8a/7PF1XD7A6BMBM2W0FQL1Jdf7WXjKrGOnrLZ2ndnUAq8cUcKb+nt1W86edNKz3BkC+Usg7t6XZJ4EMMQEwU3ZbAVCv0jSvwYehZQo4U3ZbAUC+BMDMd1sd7qO1U3u6brcVAJSPAJgpu60AIF8CYMbstgKAPNkEkjm7rQAgPwIgdlsBQGZMAQMAZEYABADIjAAIAJAZARAAIDMCIABAZkoVANesWRNTp06NxsbGmDdvXmzZsuWwfW+//fY455xz4oQTTiiOBQsWHLE/AEBZlCYAbtiwIZYvXx6tra2xbdu2mDFjRixcuDB27949YP+HHnooLrroovjBD34QmzdvjilTpsR5550XTz/99LDfOwDAcGqoVCqVKIE04nfmmWfGrbfeWpx3dXUVoe5DH/pQXHvttf/n4zs7O4uRwPT4JUuWHNV/s6OjI5qamqK9vT3GjRs36OcAAAy9Du/f5RgBPHToUGzdurWYxu02atSo4jyN7h2N559/Pl544YU48cQTD9vn4MGDxTdN7wMAYKQpRQDcu3dvMYI3ceLEPu3pvK2t7aj+jmuuuSZOPvnkPiGyv1WrVhUjft1HGmEEABhpShEAB+szn/lM3H333XHvvfcWG0gOZ8WKFcV0b/exY8eOYb1PAIBqKMVnAY8fPz5Gjx4du3bt6tOezpubm4/42H//938vAuD3vve9OOOMM47Yd+zYscUBADCSlWIEcMyYMTF79uzYtGlTT1vaBJLO58+ff9jHfe5zn4sbb7wxNm7cGHPmzBmmuwUAqK1SjAAmqQTM0qVLiyA3d+7cWL16dezfvz+WLVtWXE87eydPnlys40s++9nPxsqVK+Ouu+4qagd2rxV85StfWRwAAGVVmgC4ePHi2LNnTxHqUpibOXNmMbLXvTFk+/btxc7gbmvXri12D7/rXe/q8/ekOoKf/OQnh/3+AQCGS2nqANaCOkIAMPJ0qANYjjWAAAAcPQEQACAzAiAAQGYEQACAzAiAAACZEQABADIjAAIAZEYABADIjAAIAJAZARAAIDMCIABAZgRAAIDMCIAAAJkRAAEAMiMAAgBkRgAEAMiMAAgAkBkBEAAgMwIgAEBmBEAAgMwIgAAAmREAAQAyIwACAGRGAAQAyIwACACQGQEQACAzAiAAQGYEQACAzAiAAACZEQABADIjAAIAZEYABADIjAAIAJAZARAAIDMCIABAZgRAAIDMCIAAAJkRAAEAMiMAAgBkRgAEAMiMAAgAkBkBEAAgMwIgAEBmBEAAgMwIgAAAmREAAQAyIwACAGRGAAQAyIwACACQGQEQACAzAiAAQGYEQACAzAiAAACZEQABADIjAAIAZEYABADIjAAIAJAZARAAIDMCIABAZgRAAIDMCIAAAJkRAAEAMiMAAgBkRgAEAMiMAAgAkBkBEAAgMwIgAEBmBEAAgMwcU+sb4MU6uyqx5alnY/e+AzHhuMaYe8qJMXpUgy8VAFAVAmCd2fjwzrjhvkdiZ/uBnrZJTY3Ruqglzp8+qab3BgCUgyngOgt/l6/f1if8JW3tB4r2dB0AYLBKFQDXrFkTU6dOjcbGxpg3b15s2bLliP3/53/+J0477bSi/5vf/Oa4//77o5bTvmnkrzLAte62dD31AwAYjNIEwA0bNsTy5cujtbU1tm3bFjNmzIiFCxfG7t27B+z/k5/8JC666KK49NJL4xe/+EVceOGFxfHwww9HLaQ1f/1H/npLsS9dT/0AAAajNAHw5ptvjssuuyyWLVsWLS0tsW7dujj22GPjzjvvHLD/LbfcEueff3587GMfi9NPPz1uvPHGmDVrVtx6661RC2nDRzX7AQCUOgAeOnQotm7dGgsWLOhpGzVqVHG+efPmAR+T2nv3T9KI4eH6JwcPHoyOjo4+R7Wk3b7V7AcAUOoAuHfv3ujs7IyJEyf2aU/nbW1tAz4mtf89/ZNVq1ZFU1NTzzFlypQqPYMoSr2k3b6HK/aS2tP11A8AIHIPgMNlxYoV0d7e3nPs2LGjan93qvOXSr0k/UNg93m6rh4gADBYpQiA48ePj9GjR8euXbv6tKfz5ubmAR+T2v+e/snYsWNj3LhxfY5qSnX+1l4yK5qb+k7zpvPUrg4gAFANpSgEPWbMmJg9e3Zs2rSp2MmbdHV1FedXXnnlgI+ZP39+cf0jH/lIT9uDDz5YtNdSCnnntjT7JBAAYMiUIgAmqQTM0qVLY86cOTF37txYvXp17N+/v9gVnCxZsiQmT55crONLrrrqqnj7298eX/jCF+KCCy6Iu+++O37+85/HbbfdVuNn8tfp4PnTTqr1bQAAJVWaALh48eLYs2dPrFy5stjIMXPmzNi4cWPPRo/t27cXO4O7nXXWWXHXXXfF9ddfH9ddd128/vWvj2984xsxffr0Gj4LAICh11CpVHy0xEuUysCk3cBpQ0i11wMCAEOjw/t3OTaBAABw9ARAAIDMCIAAAJkRAAEAMiMAAgBkRgAEAMiMAAgAkJnSFIKuhe4SiqmeEAAwMnT87X0751LIAuAg7Nu3r/hzypQp1Xo9AIBhfB9vamrK8uvtk0AGoaurK5555pk47rjjoqGhoeq/naRguWPHjlJ+yojnN/J5DUe2sr9+OTxHz++lq1QqRfg7+eST+3xMbE6MAA5C+qZ59atfHUMp/dAq4w+ubp7fyOc1HNnK/vrl8Bw9v5emKdORv255xl4AgIwJgAAAmREA69TYsWOjtbW1+LOMPL+Rz2s4spX99cvhOXp+DIZNIAAAmTECCACQGQEQACAzAiAAQGYEQACAzAiAdWjNmjUxderUaGxsjHnz5sWWLVuiLH70ox/FokWLiurr6dNTvvGNb0SZrFq1Ks4888zi02EmTJgQF154YTz++ONRFmvXro0zzjijp/Ds/Pnz4zvf+U6U1Wc+85ni+/QjH/lIlMUnP/nJ4jn1Pk477bQok6effjouueSSOOmkk+LlL395vPnNb46f//znURbp/aH/a5iOK664Isqgs7MzPvGJT8Qpp5xSvH7Tpk2LG2+8MevP7R0KAmCd2bBhQyxfvrwoXbBt27aYMWNGLFy4MHbv3h1lsH///uI5pZBbRj/84Q+LH8I//elP48EHH4wXXnghzjvvvOJ5l0H65JsUirZu3Vq8of7DP/xDvPOd74zf/OY3UTY/+9nP4stf/nIReMvmTW96U+zcubPn+PGPfxxl8ac//SnOPvvseNnLXlb8cvLII4/EF77whTjhhBOiTN+bvV+/9LMm+Zd/+Zcog89+9rPFL5u33nprPProo8X55z73ufjiF79Y61srlwp1Ze7cuZUrrrii57yzs7Ny8sknV1atWlUpm/Ttd++991bKbPfu3cXz/OEPf1gpqxNOOKHyH//xH5Uy2bdvX+X1r3995cEHH6y8/e1vr1x11VWVsmhtba3MmDGjUlbXXHNN5W1ve1slJ+n7c9q0aZWurq5KGVxwwQWV973vfX3a/vmf/7ly8cUX1+yeysgIYB05dOhQMbKyYMGCPp83nM43b95c03vjpWlvby/+PPHEE0v3JUzTNHfffXcxupmmgsskjeJecMEFff4tlsnvfve7YhnGqaeeGhdffHFs3749yuJb3/pWzJkzpxgNS8sw3vKWt8Ttt98eZX7fWL9+fbzvfe8rpoHL4KyzzopNmzbFb3/72+L8V7/6VTFK/Y//+I+1vrVSOabWN8D/t3fv3uJNdeLEiX2+LOn8scce86UaYbq6uoq1Y2k6avr06VEWv/71r4vAd+DAgXjlK18Z9957b7S0tERZpFCbll+kabYySuuK//M//zPe+MY3FtOHN9xwQ5xzzjnx8MMPF2tXR7onn3yymD5MS2muu+664nX88Ic/HGPGjImlS5dG2aR11M8991y8973vjbK49tpro6Ojo1ibOnr06OJ98dOf/nTxywrVIwDCEI4ipTfVMq2vSlJw+OUvf1mMbt5zzz3Fm2pa+1iGELhjx4646qqrijVVaRNWGfUeRUnrG1MgfO1rXxtf/epX49JLL40y/OKVRgBvuumm4jyNAKZ/h+vWrStlALzjjjuK1zSN6JZF+l787//+77jrrruK9arp5036ZTo9xzK+hrUiANaR8ePHF7/t7Nq1q097Om9ubq7ZffH3u/LKK+N///d/i13PaeNEmaSRlNe97nXF/589e3YxwnLLLbcUGyZGurQEI224mjVrVk9bGn1Ir2NakH7w4MHi32iZHH/88fGGN7whnnjiiSiDSZMmveiXkdNPPz2+9rWvRdn88Y9/jO9973vx9a9/PcrkYx/7WDEK+G//9m/FedrFnZ5rqrIgAFaPNYB19saa3lDT2ofev82m87KtsSqrtLclhb80Lfr973+/KGNQdul7NAWjMnjHO95RTHGnEYfuI40mpamn9P/LFv6SP//5z/H73/++CE5lkJZc9C+9lNaSpVHOsvnKV75SrHNM61XL5Pnnny/Wv/eW/u2lnzVUjxHAOpPWraTfcNKbzty5c2P16tXFIvtly5ZFWd5seo80PPXUU8Uba9ok8ZrXvCbKMO2bpi2++c1vFuup2traivampqaintVIt2LFimK6Kb1W+/btK57rQw89FA888ECUQXrN+q/XfMUrXlHUkyvLOs6PfvSjRS3OFIieeeaZouRUenO96KKLogyuvvrqYhNBmgL+13/916KO6m233VYcZZLCUAqA6f3imGPK9Vaevj/Tmr/0cyZNAf/iF7+Im2++udjoQhXVehsyL/bFL36x8prXvKYyZsyYoizMT3/609J8mX7wgx8UZVH6H0uXLq2UwUDPLR1f+cpXKmWQSjO89rWvLb43X/WqV1Xe8Y53VL773e9WyqxsZWAWL15cmTRpUvEaTp48uTh/4oknKmVy3333VaZPn14ZO3Zs5bTTTqvcdttttb6lqnvggQeKny2PP/54pWw6OjqKf3PpfbCxsbFy6qmnVj7+8Y9XDh48WOtbK5WG9D/VDJQAANQ3awABADIjAAIAZEYABADIjAAIAJAZARAAIDMCIABAZgRAAIDMCIAAAJkRAAEAMiMAAgBkRgAEAMiMAAgAkBkBEAAgMwIgAEBmBEAAgMwIgAAAmREAAQAyIwACAGRGAAQAyIwACACQGQEQACAzAiAAQGYEQACAzAiAAACZEQABADIjAAIAZEYABADIjAAIAJAZARAAIDMCIABAZgRAAIDIy/8DOdgXeY068RsAAAAASUVORK5CYII=",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(s_v.A, s_v.rate, 'o', label='data')\n",
    "ax.plot(concA, myfit.eval(a=concA), label='fit')\n",
    "\n",
    "ax.plot(s_v.B, s_v.rate, 'o', label='data')\n",
    "ax.plot(concB, myfit.eval(b=concB), label='fit')\n",
    "\n",
    "ax.set_xlabel('Substrate []')\n",
    "ax.set_ylabel('rate (mM/s)')\n",
    "ax.legend(loc='best')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "323a7edd-029e-4c92-8684-28bf652cd26c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.14.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}