neurospora_regulation-supplementary.ipynb

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   "source": [
    "# Table of Contents\n",
    " <p><div class=\"lev1 toc-item\"><a href=\"#Boltzmann\" data-toc-modified-id=\"Boltzmann-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Boltzmann</a></div><div class=\"lev2 toc-item\"><a href=\"#Pentose-phosphate-+-Glycolysis-+-TCA-cycle\" data-toc-modified-id=\"Pentose-phosphate-+-Glycolysis-+-TCA-cycle-11\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>Pentose phosphate + Glycolysis + TCA cycle</a></div><div class=\"lev2 toc-item\"><a href=\"#Regulation\" data-toc-modified-id=\"Regulation-12\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>Regulation</a></div><div class=\"lev2 toc-item\"><a href=\"#Turning-on-Regulation-and-Setting-Enzyme-Levels\" data-toc-modified-id=\"Turning-on-Regulation-and-Setting-Enzyme-Levels-13\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>Turning on Regulation and Setting Enzyme Levels</a></div><div class=\"lev1 toc-item\"><a href=\"#Models-and-Simulations\" data-toc-modified-id=\"Models-and-Simulations-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Models and Simulations</a></div><div class=\"lev2 toc-item\"><a href=\"#Model-With-Regulation\" data-toc-modified-id=\"Model-With-Regulation-21\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span>Model With Regulation</a></div><div class=\"lev3 toc-item\"><a href=\"#Run-Deterministic-Simulation\" data-toc-modified-id=\"Run-Deterministic-Simulation-211\"><span class=\"toc-item-num\">2.1.1&nbsp;&nbsp;</span>Run Deterministic Simulation</a></div><div class=\"lev3 toc-item\"><a href=\"#Derivatives-from-ODE-thermodynamic-optimization-simulation\" data-toc-modified-id=\"Derivatives-from-ODE-thermodynamic-optimization-simulation-212\"><span class=\"toc-item-num\">2.1.2&nbsp;&nbsp;</span>Derivatives from ODE thermodynamic optimization simulation</a></div><div class=\"lev3 toc-item\"><a href=\"#Find-Active-and-Variable-Metabolites\" data-toc-modified-id=\"Find-Active-and-Variable-Metabolites-213\"><span class=\"toc-item-num\">2.1.3&nbsp;&nbsp;</span>Find Active and Variable Metabolites</a></div><div class=\"lev3 toc-item\"><a href=\"#Activity-scaled-Odds-of-Reaction-from-Deterministic-Simulation\" data-toc-modified-id=\"Activity-scaled-Odds-of-Reaction-from-Deterministic-Simulation-214\"><span class=\"toc-item-num\">2.1.4&nbsp;&nbsp;</span>Activity-scaled Odds of Reaction from Deterministic Simulation</a></div><div class=\"lev3 toc-item\"><a href=\"#Analyze-Metabolite-Levels-from-Deterministic-Simulation\" data-toc-modified-id=\"Analyze-Metabolite-Levels-from-Deterministic-Simulation-215\"><span class=\"toc-item-num\">2.1.5&nbsp;&nbsp;</span>Analyze Metabolite Levels from Deterministic Simulation</a></div><div class=\"lev2 toc-item\"><a href=\"#Infer-Regulated-Reactions\" data-toc-modified-id=\"Infer-Regulated-Reactions-22\"><span class=\"toc-item-num\">2.2&nbsp;&nbsp;</span>Infer Regulated Reactions</a></div><div class=\"lev2 toc-item\"><a href=\"#Calculate-Rate-Constants\" data-toc-modified-id=\"Calculate-Rate-Constants-23\"><span class=\"toc-item-num\">2.3&nbsp;&nbsp;</span>Calculate Rate Constants</a></div><div class=\"lev3 toc-item\"><a href=\"#Equalize-reaction-probabilities\" data-toc-modified-id=\"Equalize-reaction-probabilities-231\"><span class=\"toc-item-num\">2.3.1&nbsp;&nbsp;</span>Equalize reaction probabilities</a></div><div class=\"lev3 toc-item\"><a href=\"#Calculate-the-Unregulated-Thermodynamic-likelihood-of-the-reactions\" data-toc-modified-id=\"Calculate-the-Unregulated-Thermodynamic-likelihood-of-the-reactions-232\"><span class=\"toc-item-num\">2.3.2&nbsp;&nbsp;</span>Calculate the Unregulated Thermodynamic likelihood of the reactions</a></div><div class=\"lev3 toc-item\"><a href=\"#Calculate-Rate-Constants/Parameters\" data-toc-modified-id=\"Calculate-Rate-Constants/Parameters-233\"><span class=\"toc-item-num\">2.3.3&nbsp;&nbsp;</span>Calculate Rate Constants/Parameters</a></div><div class=\"lev3 toc-item\"><a href=\"#Cutoff-for-time-derivative-of-concentrations\" data-toc-modified-id=\"Cutoff-for-time-derivative-of-concentrations-234\"><span class=\"toc-item-num\">2.3.4&nbsp;&nbsp;</span>Cutoff for time derivative of concentrations</a></div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "import subprocess\n",
    "import re\n",
    "import os\n",
    "from IPython.core.display import display\n",
    "pd.set_option('display.max_columns', None,'display.max_rows', None)\n",
    "%matplotlib inline\n",
    "N_avogadro = 6.022140857e+23\n",
    "VolCell = 1.0e-15\n",
    "Concentration2Count = N_avogadro * VolCell\n",
    "concentration_increment = 1/(N_avogadro*VolCell)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Change directories to where the simulation data is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Uncomment to change to your directory, if needed:\n",
    "cwd = os.getcwd()\n",
    "mydir = cwd+'/simulation_data'\n",
    "if 'simulation_data' not in mydir: \n",
    "  os.chdir(mydir)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Boltzmann\n",
    "A beta version of the simulation code is available on GitHub at https://github.com/PNNL-CompBio/Boltzmann.\n",
    "## Pentose phosphate + Glycolysis + TCA cycle\n",
    "Reactions:"
   ]
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  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "REACTION ME1m\r\n",
      "LEFT\t(S)-MALATE + NAD+ \r\n",
      "RIGHT\tpyruvate + NADH + CO2\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "//\r\n",
      "REACTION ME2m\r\n",
      "LEFT    (S)-MALATE + NADP+\r\n",
      "RIGHT   PYRUVATE + NADPH + CO2\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "//\r\n",
      "REACTION CSm\r\n",
      "LEFT\tOXALOACETATE + ACETYL-COA + H2O\r\n",
      "RIGHT\tCITRATE + COA\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT\tPH = 7.0, IONIC STRENGTH = 0.15 M \r\n",
      "//\r\n",
      "REACTION ACONTm\r\n",
      "LEFT\tCITRATE\r\n",
      "RIGHT\tISOCITRATE\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT\t PH = 7.0, IONIC STRENGTH = 0.15 M \r\n",
      "COMMENT DOn't split into two reactions if max entropy is being used - only one enzyme needs to be epressed\r\n",
      "//\r\n",
      "REACTION ICDHxm\r\n",
      "LEFT\tISOCITRATE + NAD+\r\n",
      "RIGHT\t2-OXOGLUTARATE + NADH + CO2\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT\tPH = 7.0, IONIC STRENGTH = 0.15 M\r\n",
      "//\r\n",
      "REACTION AKGDm\r\n",
      "LEFT\t2-OXOGLUTARATE + COA + NAD+\r\n",
      "RIGHT\tSUCCINYL-COA + CO2 + NADH\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT PH = 7.0, IONIC STRENGTH = 0.15 M\r\n",
      "//\r\n",
      "REACTION SUCOASm\r\n",
      "LEFT \tSUCCINYL-COA + ADP + Orthophosphate\r\n",
      "RIGHT\tSUCCINATE + ATP + COA\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT\tPH = 7.0, IONIC STRENGTH = 0.15 M\r\n",
      "//\r\n",
      "REACTION SUCD1m\r\n",
      "LEFT\tSUCCINATE + redox1\r\n",
      "RIGHT\tFUMARATE + redox2\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT\tPH = 7.0, IONIC STRENGTH = 0.15 M\r\n",
      "//\r\n",
      "REACTION FUMm\r\n",
      "LEFT\tFUMARATE + H2O\r\n",
      "RIGHT\t(S)-MALATE \r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT\tPH = 7.0, IONIC STRENGTH = 0.15 M\r\n",
      "//\r\n",
      "REACTION  MDHm\r\n",
      "LEFT\t(S)-MALATE + NAD+\r\n",
      "RIGHT\tOXALOACETATE + NADH\r\n",
      "LEFT_COMPARTMENT MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "COMMENT\tPH = 7.0, IONIC STRENGTH = 0.15 M\r\n",
      "//       \r\n",
      "REACTION GAPD  \r\n",
      "LEFT\tD-GLYCERALDEHYDE-3-PHOSPHATE + ORTHOPHOSPHATE + NAD+\r\n",
      "RIGHT\t3-Phospho-D-glyceroyl_phosphate + NADH\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "PATHWAY GLUCONEOGENESIS, GLYCOLYSIS\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "REACTION PGK\r\n",
      "LEFT\t3-Phospho-D-glyceroyl_phosphate + ADP\r\n",
      "RIGHT\t3-PHOSPHO-D-GLYCERATE + ATP\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY\tGLUCONEOGENESIS, GLYCOLYSIS, CALVIN CYCLE\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "REACTION TPI\r\n",
      "LEFT\tGlycerone_phosphate\r\n",
      "RIGHT\tD-GLYCERALDEHYDE-3-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "COMMENT From Equilibrator\r\n",
      "PATHWAY CALVIN CYCLE, GLYCOLYSIS\r\n",
      "//\r\n",
      "REACTION  MDH\r\n",
      "LEFT\t(S)-MALATE + NAD+\r\n",
      "RIGHT\tOXALOACETATE + NADH\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "COMMENT\tPH = 7.0, IONIC STRENGTH = 0.15 M\r\n",
      "COMMENT\tCytosolic\r\n",
      "//\r\n",
      "REACTION PEP_Carboxylase\r\n",
      "LEFT    oxaloacetate + orthophosphate\r\n",
      "RIGHT   phosphoenolpyruvate + CO2 + H2O\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL    0.0\r\n",
      "PATHWAY GLUCONEOGENSESIS\r\n",
      "COMMENTS\r\n",
      "//\r\n",
      "REACTION PPCK\r\n",
      "LEFT\toxaloacetate + ATP \r\n",
      "RIGHT\tphosphoenolpyruvate + ADP + CO2\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY\tGLUCONEOGENSESIS\r\n",
      "COMMENTS  \r\n",
      "//\r\n",
      "REACTION FBA\r\n",
      "LEFT\tD-FRUCTOSE_1,6-BISPHOSPHATE\r\n",
      "RIGHT\tGlycerone_phosphate + D-GLYCERALDEHYDE-3-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY\tGLUCONEOGENSESIS, GLYCOLYSIS, CALVIN CYCLE\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "REACTION FBP\r\n",
      "LEFT\tD-FRUCTOSE_6-PHOSPHATE + Orthophosphate\r\n",
      "RIGHT\tH2O + D-FRUCTOSE_1,6-BISPHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY\tGLUCONEOGENESIS, CALVIN CYCLE\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "REACTION TKT2\r\n",
      "LEFT\tD-FRUCTOSE_6-PHOSPHATE + D-GLYCERALDEHYDE-3-PHOSPHATE\r\n",
      "RIGHT\tD-ERYTHROSE-4-PHOSPHATE + D-XYLULOSE-5-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY\tCALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBISCO SHUNT\r\n",
      "COMMENT   From Equilibrator pH 7.5, IS 0.15\r\n",
      "//\r\n",
      "REACTION RPE\r\n",
      "LEFT\tD-XYLULOSE-5-PHOSPHATE\r\n",
      "RIGHT\tD-RIBULOSE-5-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY\tCALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBISCO SHUNT\r\n",
      "COMMENT  From Dennis\r\n",
      "//\r\n",
      "REACTION Xylulokinase\r\n",
      "LEFT\tD-XYLULOSE + ATP\r\n",
      "RIGHT\tD-XYLULOSE-5-PHOSPHATE + ADP \r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY\tCALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBISCO SHUNT\r\n",
      "COMMENT  \r\n",
      "//\r\n",
      "REACTION PYK_org\r\n",
      "LEFT\tADP + PHOSPHOENOLPYRUVATE\r\n",
      "RIGHT\tPYRUVATE + ATP\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY GLYCOLYSIS, PYRUVATE METABOLISM, RUBISCO SHUNT\r\n",
      "COMMENT  From Dennis\r\n",
      "//\r\n",
      "REACTION PYK\r\n",
      "LEFT\tADP + PHOSPHOENOLPYRUVATE\r\n",
      "RIGHT\tPYRUVATE + ATP\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY GLYCOLYSIS, PYRUVATE METABOLISM, RUBISCO SHUNT\r\n",
      "COMMENT  From Dennis\r\n",
      "//\r\n",
      "REACTION RPI\r\n",
      "LEFT\tD-RIBOSE-5-PHOSPHATE\r\n",
      "RIGHT\tD-RIBULOSE-5-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY\tCALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBISCO SHUNT\r\n",
      "COMMENT  From Dennis\r\n",
      "//\r\n",
      "REACTION TKT1\r\n",
      "LEFT\tSEDOHEPTULOSE_7-PHOSPHATE + D-GLYCERALDEHYDE-3-PHOSPHATE\r\n",
      "RIGHT\tD-RIBOSE-5-PHOSPHATE + D-XYLULOSE-5-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY\tCALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBISCO SHUNT\r\n",
      "COMMENT  From Equilibrator pH 7.5, IS 0.15\r\n",
      "//\r\n",
      "REACTION TALA\r\n",
      "LEFT\tD-GLYCERALDEHYDE-3-PHOSPHATE + SEDOHEPTULOSE_7-PHOSPHATE\r\n",
      "RIGHT\tD-FRUCTOSE_6-PHOSPHATE + D-ERYTHROSE-4-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY  RUBISCO SHUNT, PENTOSE PHOSPHATE PATHWAY\r\n",
      "COMMENT  From Equilibrator pH 7.5 IS 0.15\r\n",
      "//\r\n",
      "REACTION PGM\r\n",
      "LEFT\t3-PHOSPHO-D-GLYCERATE\r\n",
      "RIGHT\t2-PHOSPHO-D-GLYCERATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY  GLUCONEOGENESIS, RUBISCO SHUNT, GLYCOLYSIS I\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "REACTION  ENO\r\n",
      "LEFT\t2-PHOSPHO-D-GLYCERATE\r\n",
      "RIGHT\tPHOSPHOENOLPYRUVATE + H2O\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY  GLUCONEOGENESIS, RUBISCO SHUNT, GLYCOLYSIS I\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "# Pentose Phosphate reactions (oxidative branch):\r\n",
      "REACTION GND\r\n",
      "LEFT  NADPH + D-RIBULOSE-5-PHOSPHATE + CO2\r\n",
      "RIGHT NADP+ + 6-PHOSPHO-D-GLUCONATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "PATHWAY PENTOSE PHOSPHATE PATHWAY\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "//\r\n",
      "REACTION  PGL\r\n",
      "LEFT  6-PHOSPHO-D-GLUCONATE\r\n",
      "RIGHT D-Glucono-1,5-lactone_6-phosphate + H2O\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "COMMENT From Dennis\r\n",
      "PATHWAY PENTOSE PHOSPHATE PATHWAY\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "//\r\n",
      "REACTION HEX1\r\n",
      "LEFT\tBETA-D-GLUCOSE + ATP\r\n",
      "RIGHT\tBETA-D-GLUCOSE-6-PHOSPHATE + ADP\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "NREGULATION ATP 2.80e-03 10\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY\tGLUCONEOGENESIS, (GLYCOLYSIS-YEAST), GLYCOLYSIS\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "REACTION PGI\r\n",
      "LEFT\tBETA-D-GLUCOSE-6-PHOSPHATE\r\n",
      "RIGHT\tD-FRUCTOSE_6-PHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY\tGLUCONEOGENESIS, (GLYCOLYSIS-YEAST), GLYCOLYSIS\r\n",
      "COMMENTS  From Dennis\r\n",
      "//\r\n",
      "# Gluconeogenesis reactions :\r\n",
      "REACTION  G6PDH2r\r\n",
      "LEFT\tBETA-D-GLUCOSE-6-PHOSPHATE + NADP+\r\n",
      "RIGHT\tD-Glucono-1,5-lactone_6-phosphate + NADPH\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "COMMENT  From Dennis\r\n",
      "PATHWAY GLUCONEOGENESIS\r\n",
      "//\r\n",
      "# Glycolysis reactions :\r\n",
      "REACTION  PFK\r\n",
      "LEFT \tD-FRUCTOSE_6-PHOSPHATE + ATP\r\n",
      "RIGHT\tADP + D-FRUCTOSE_1,6-BISPHOSPHATE\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "NREGULATION ATP 2.80e-03 10\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "PATHWAY GLYCOLYSIS\r\n",
      "COMMNENT From Equilibrator\r\n",
      "//\r\n",
      "REACTION PYRt2m\r\n",
      "LEFT\tPYRUVATE\r\n",
      "RIGHT\tPYRUVATE\r\n",
      "DGZERO\t-5.94\r\n",
      "COMMENT -5.94\r\n",
      "DGZERO-UNITS\tKJ/MOL\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "COMMENT PYRUVATE TRANSPORT INTO MITOCHONDRIA - Assuming free energy difference = \\Delta -RT \\Delta pH = -RT log 10\r\n",
      "//\r\n",
      "# Acetyl CoA synthesis\r\n",
      "REACTION PDHm\r\n",
      "LEFT\tCOA + NAD+ + PYRUVATE\r\n",
      "RIGHT\tACETYL-COA + CO2 + NADH\r\n",
      "LEFT_COMPARTMENT  MITOCHONDRIA\r\n",
      "RIGHT_COMPARTMENT MITOCHONDRIA\r\n",
      "ENZYME_LEVEL\t1.0\r\n",
      "NREGULATION ACETYL-COA 1.00e-03 20\r\n",
      "PATHWAY ACETYL COA BIOSYNTHESIS\r\n",
      "COMMENT PYRUVATE DEHYDROGENASE SUMMARY REACTION\r\n",
      "//\r\n",
      "REACTION ICL\r\n",
      "LEFT isocitrate\r\n",
      "RIGHT\tglyoxylate + succinate\r\n",
      "LEFT_COMPARTMENT GLYOXYSOME\r\n",
      "RIGHT_COMPARTMENT GLYOXYSOME\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY glyoxylate shunt\r\n",
      "COMMENT \r\n",
      "//\r\n",
      "REACTION MAS\r\n",
      "LEFT acetyl-CoA + glyoxylate + H2O  \r\n",
      "RIGHT\t(S)-MALATE + COA\r\n",
      "LEFT_COMPARTMENT GLYOXYSOME\r\n",
      "RIGHT_COMPARTMENT GLYOXYSOME\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY glyoxylate shunt\r\n",
      "COMMENT \r\n",
      "//\r\n",
      "REACTION PYRDC\r\n",
      "LEFT pyruvate \r\n",
      "RIGHT acetaldehyde + CO2\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY fermentation\r\n",
      "COMMENT \r\n",
      "//\r\n",
      "REACTION ALDD2y\r\n",
      "LEFT acetaldehyde + NADP+ + H2O\r\n",
      "RIGHT acetate + NADPH\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY fermentation\r\n",
      "COMMENT \r\n",
      "//\r\n",
      "REACTION ALCD2X_copy1\r\n",
      "LEFT acetaldehyde + NADH \r\n",
      "RIGHT ethanol + NAD+\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY fermentation\r\n",
      "COMMENT \r\n",
      "//\r\n",
      "REACTION LactateDehydrogenase\r\n",
      "LEFT pyruvate + NADH\r\n",
      "RIGHT lactate + NAD+\r\n",
      "LEFT_COMPARTMENT CYTOSOL\r\n",
      "RIGHT_COMPARTMENT CYTOSOL\r\n",
      "ENZYME_LEVEL\t0.0\r\n",
      "PATHWAY fermentation\r\n",
      "COMMENT \r\n",
      "//\r\n"
     ]
    }
   ],
   "source": [
    "cat neurospora_pentose_phos.glycolysis.tca.2.dat"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Boltzmann Input File:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RXN_FILE neurospora_pentose_phos.glycolysis.tca.2.dat\r\n",
      "INIT_FILE neurospora_pentose_phos.glycolysis.tca.2_reg.rstrt\r\n",
      "INIT_FILE yeast_centralMetab_concs2.in \r\n",
      "INIT_FILE neurospora_pentose_phos.glycolysis.tca.2_reg.rstrt\r\n",
      "INIT_FILE neurospora_pentose_phos.glycolysis.tca.2_reg_concs.in\r\n",
      "LOG_FILE neurospora_pentose_phos.glycolysis.tca.2_reg.log\r\n",
      "OUT_FILE neurospora_pentose_phos.glycolysis.tca.2_reg.out\r\n",
      "USE_DEQ 1\r\n",
      "NO_ROUND_FROM_DEQ 1\r\n",
      "ODE_T_FINAL 10000000\r\n",
      "ODE_RXN_VIEW_FREQ 1000\r\n",
      "DELTA_CONCS_CHOICE 13\r\n",
      "DELTA_CONCS_CHOICE 7\r\n",
      "DERIV_THRESH  5.0e-17\r\n",
      "WARMUP_STEPS 00000000\r\n",
      "RECORD_STEPS 000000\r\n",
      "TEMP_KELVIN 298.15\r\n",
      "PH 7.0\r\n",
      "IONIC_STRENGTH 0.15\r\n",
      "PRINT_OUTPUT 2\r\n",
      "CONCS_OR_COUNTS 3\r\n",
      "RXN_VIEW_FREQ 100\r\n",
      "COUNT_VIEW_FREQ 100\r\n",
      "LKLHD_VIEW_FREQ 100\r\n",
      "USE_BULK_WATER 1\r\n",
      "USE_REGULATION 1\r\n",
      "USE_ENZYME_LEVELS 1\r\n",
      "USE_PSEUDOISOMERS 1\r\n",
      "USE_DGZERO 1\r\n",
      "USE_ACTIVITIES 1\r\n",
      "NUM_METABOLIC_GROUPS 1\r\n",
      "\r\n"
     ]
    }
   ],
   "source": [
    "cat neurospora_pentose_phos.glycolysis.tca_reg.in"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Regulation\n",
    "Notice that in the PDH reaction there is a line:\n",
    "\n",
    "NREGULATION ACETYL-COA 1.00e-03 20.0\n",
    "\n",
    "The keyword NREGULATION is for negative regulation using a Hill Function with constant = 6.1e-04 and an exponent of 20.0\n",
    "$$Activity = \\frac{K^{n}}{K^{n} + X^{n}}$$\n",
    "\n",
    "where K is the constant similar to the Michaelis constant, n is the exponent that controls the steepness of the Hill function and $X$ is the concentration of the species that regulates the activity. The Hill function is used to update the activity of the enzyme as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1084083c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "constant = 6.1e-04\n",
    "exponent = 10\n",
    "constant_pow_exponent = np.exp(exponent*np.log(constant))\n",
    "\n",
    "concentration = np.arange(1.0e-4, 1.0e-3, 1.0e-5)\n",
    "concentration_pow_exponent = np.exp(np.multiply(exponent,np.log(concentration)))\n",
    "\n",
    "activity = np.divide(constant_pow_exponent,(constant_pow_exponent + concentration_pow_exponent))\n",
    "plt.plot(concentration,activity)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Likewise, positive regulation is done using the comparable Hill Function,\n",
    "$$Activity = \\frac{X^{n}}{K^{n} + X^{n}}$$.\n",
    "Positive regulation is indicated in the Boltzmann .dat file with keyword PREGULATION."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x118b28390>]"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1065fb5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "constant = 6.1e-04\n",
    "exponent = 10\n",
    "constant_pow_exponent = np.exp(exponent*np.log(constant))\n",
    "\n",
    "concentration = np.arange(1.0e-4, 1.0e-3, 1.0e-5)\n",
    "concentration_pow_exponent = np.exp(np.multiply(exponent,np.log(concentration)))\n",
    "\n",
    "activity = np.divide(concentration_pow_exponent,(constant_pow_exponent + concentration_pow_exponent))\n",
    "plt.plot(concentration,activity)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Turning on Regulation and Setting Enzyme Levels\n",
    "To use regulation in the simulation, this flag must be set in the .in file:\n",
    "\n",
    "USE_REGULATION 1\n",
    "\n",
    "If USE_REGULATION is set to 0, then the regulation information in the .dat file will be ignored.\n",
    "\n",
    "**Reactions** can be turned on (1.0) or off (0.0) by setting the ENZYME_LEVEL feature in the .dat file for a reaction:\n",
    "\n",
    "USE_ENZYME_LEVELS 1.0 \n",
    "\n",
    "or\n",
    "\n",
    "USE_ENZYME_LEVELS 0.0\n",
    "\n",
    "**In addition, USE_ACTIVITY 1\" must be set in the .in file.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Models and Simulations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model With Regulation\n",
    "### Run Deterministic Simulation\n",
    "Uncomment the lines below to run from the notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "#args = (\"boltzmann\", \"neurospora_pentose_phos.glycolysis.tca_reg.in\")\n",
    "#\n",
    "#popen = subprocess.Popen(args, stdout=subprocess.PIPE)\n",
    "#popen.wait()\n",
    "#output = popen.stdout.read()\n",
    "#print(output)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Derivatives from ODE thermodynamic optimization simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(S)-MALATE:CYTOSOL                           0.000000e+00\n",
       "ORTHOPHOSPHATE:CYTOSOL                       0.000000e+00\n",
       "PHOSPHOENOLPYRUVATE:CYTOSOL                  0.000000e+00\n",
       "SEDOHEPTULOSE_7-PHOSPHATE:CYTOSOL            0.000000e+00\n",
       "(S)-MALATE:GLYOXYSOME                        0.000000e+00\n",
       "ACETYL-COA:GLYOXYSOME                        0.000000e+00\n",
       "COA:GLYOXYSOME                               0.000000e+00\n",
       "GLYOXYLATE:GLYOXYSOME                        0.000000e+00\n",
       "ISOCITRATE:GLYOXYSOME                        0.000000e+00\n",
       "SUCCINATE:GLYOXYSOME                         0.000000e+00\n",
       "ADP:MITOCHONDRIA                             0.000000e+00\n",
       "ATP:MITOCHONDRIA                             0.000000e+00\n",
       "CITRATE:MITOCHONDRIA                         0.000000e+00\n",
       "CO2:MITOCHONDRIA                             0.000000e+00\n",
       "COA:MITOCHONDRIA                             0.000000e+00\n",
       "ISOCITRATE:MITOCHONDRIA                      0.000000e+00\n",
       "NAD+:MITOCHONDRIA                            0.000000e+00\n",
       "NADH:MITOCHONDRIA                            0.000000e+00\n",
       "NADP+:MITOCHONDRIA                           0.000000e+00\n",
       "NADPH:MITOCHONDRIA                           0.000000e+00\n",
       "ORTHOPHOSPHATE:MITOCHONDRIA                  0.000000e+00\n",
       "OXALOACETATE:MITOCHONDRIA                    0.000000e+00\n",
       "REDOX1:MITOCHONDRIA                          0.000000e+00\n",
       "REDOX2:MITOCHONDRIA                          0.000000e+00\n",
       "NADPH:CYTOSOL                                0.000000e+00\n",
       "NADP+:CYTOSOL                                0.000000e+00\n",
       "OXALOACETATE:CYTOSOL                         0.000000e+00\n",
       "NAD+:CYTOSOL                                 0.000000e+00\n",
       "6-PHOSPHO-D-GLUCONATE:CYTOSOL                0.000000e+00\n",
       "ACETALDEHYDE:CYTOSOL                         0.000000e+00\n",
       "ACETATE:CYTOSOL                              0.000000e+00\n",
       "ADP:CYTOSOL                                  0.000000e+00\n",
       "ATP:CYTOSOL                                  0.000000e+00\n",
       "BETA-D-GLUCOSE:CYTOSOL                       0.000000e+00\n",
       "CO2:CYTOSOL                                  0.000000e+00\n",
       "D-ERYTHROSE-4-PHOSPHATE:CYTOSOL              0.000000e+00\n",
       "NADH:CYTOSOL                                 0.000000e+00\n",
       "D-GLUCONO-1,5-LACTONE_6-PHOSPHATE:CYTOSOL    0.000000e+00\n",
       "SUCCINYL-COA:MITOCHONDRIA                    0.000000e+00\n",
       "ETHANOL:CYTOSOL                              0.000000e+00\n",
       "LACTATE:CYTOSOL                              0.000000e+00\n",
       "D-XYLULOSE-5-PHOSPHATE:CYTOSOL               0.000000e+00\n",
       "D-RIBOSE-5-PHOSPHATE:CYTOSOL                 0.000000e+00\n",
       "D-RIBULOSE-5-PHOSPHATE:CYTOSOL               0.000000e+00\n",
       "D-XYLULOSE:CYTOSOL                           0.000000e+00\n",
       "GLYCERONE_PHOSPHATE:CYTOSOL                  2.220446e-16\n",
       "D-FRUCTOSE_1,6-BISPHOSPHATE:CYTOSOL          2.220446e-16\n",
       "D-FRUCTOSE_6-PHOSPHATE:CYTOSOL               2.220446e-16\n",
       "BETA-D-GLUCOSE-6-PHOSPHATE:CYTOSOL           2.220446e-16\n",
       "PYRUVATE:CYTOSOL                             4.440892e-16\n",
       "ACETYL-COA:MITOCHONDRIA                      4.440892e-16\n",
       "SUCCINATE:MITOCHONDRIA                       4.440892e-16\n",
       "2-OXOGLUTARATE:MITOCHONDRIA                  4.440892e-16\n",
       "PYRUVATE:MITOCHONDRIA                        4.440892e-16\n",
       "(S)-MALATE:MITOCHONDRIA                      4.440892e-16\n",
       "3-PHOSPHO-D-GLYCEROYL_PHOSPHATE:CYTOSOL      8.881784e-16\n",
       "D-GLYCERALDEHYDE-3-PHOSPHATE:CYTOSOL         1.110223e-15\n",
       "FUMARATE:MITOCHONDRIA                        1.332268e-15\n",
       "3-PHOSPHO-D-GLYCERATE:CYTOSOL                1.332268e-15\n",
       "2-PHOSPHO-D-GLYCERATE:CYTOSOL                1.332268e-15\n",
       "Name: 9999991.0, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1063380f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118b380f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read boltzmann stochastic reaction likelihoods\n",
    "ode_derivatives = pd.read_table('neurospora_pentose_phos.glycolysis.tca.2_reg.ode_dconcs',header=0,index_col=0)\n",
    "\n",
    "abs_ode_derivatives = np.abs(ode_derivatives)\n",
    "derivatives = np.abs(ode_derivatives.iloc[-1,:])\n",
    "temp = derivatives.sort_values()\n",
    "display(temp)\n",
    "plt.figure();abs_ode_derivatives.plot(legend=False,logx=True,logy=False,figsize=(10, 10))\n",
    "plt.yscale('symlog')\n",
    "#plt.legend(bbox_to_anchor=(1.35, 1.05),bbox_transform=plt.gcf().transFigure)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find Active and Variable Metabolites"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Find active reactions\n",
    "# find chemicals that are in at least one reaction. Includes chemicals that are fixed as well as\n",
    "# variable ones:\n",
    "S_active = pd.read_table('neurospora_pentose_phos.glycolysis.tca.2_reg.amat',header=0, index_col = 0, quoting=2)\n",
    "del S_active['forward reaction']\n",
    "\n",
    "active_metabolites_idx = (S_active != 0).any(axis=0) #any searches down the column\n",
    "inactive_metabolites_idx = ~active_metabolites_idx\n",
    "\n",
    "metabolites_status = pd.read_csv('neurospora_pentose_phos.glycolysis.tca.2_reg.rstrt',delimiter = '\\t', index_col=0,skiprows = 2, header=None,quoting=2,usecols=[0,2])\n",
    "metabolites_status.rename(columns={2:'Value'},inplace=True)\n",
    "metabolites_status.index = metabolites_status.index.str.strip()\n",
    "metabolites_status['Variable?'] = metabolites_status == 'V'\n",
    "metabolites_status.insert(1,'Active?',active_metabolites_idx.values)\n",
    "del metabolites_status['Value']\n",
    "\n",
    "metabolites_status['Variable & Active'] = metabolites_status['Variable?']&metabolites_status['Active?']\n",
    "variable_metabolite_idx = list(metabolites_status[metabolites_status['Variable & Active']==True].index)\n",
    "variable_metabolite_idx = list(map(str.strip, variable_metabolite_idx))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Activity-scaled Odds of Reaction from Deterministic Simulation\n",
    "The activity-scaled thermodynamic odds are read in from the output files, where the odds of a reaction $\\alpha$ is $\\lambda_{\\alpha}\\cdot e^{A_{\\alpha}/RT} = \\lambda_{\\alpha}\\cdot K_{\\alpha}Q_{\\alpha}^{-1}$. $A_{\\alpha}$ is the reaction affinity for reaction $\\alpha$, $\\lambda_{\\alpha}$ is the activity, $K_{\\alpha}$ is the equilibrium constant, and $Q_{\\alpha}$ is the reaction quotient."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ME1m                    0.000000\n",
       "ME2m                    0.000000\n",
       "CSm                     3.167760\n",
       "ACONTm                  3.172948\n",
       "ICDHxm                  2.943128\n",
       "AKGDm                   2.943136\n",
       "SUCOASm                 3.172974\n",
       "SUCD1m                  3.172974\n",
       "FUMm                    3.172975\n",
       "MDHm                    3.168494\n",
       "GAPD                    2.857815\n",
       "PGK                     3.165480\n",
       "TPI                     1.428909\n",
       "MDH                     0.000000\n",
       "PEP_Carboxylase         0.000000\n",
       "PPCK                    0.000000\n",
       "FBA                     1.428909\n",
       "FBP                     0.000000\n",
       "TKT2                    0.000000\n",
       "RPE                     0.000000\n",
       "Xylulokinase            0.000000\n",
       "PYK_org                 0.000000\n",
       "PYK                     2.857850\n",
       "RPI                     0.000000\n",
       "TKT1                    0.000000\n",
       "TALA                    0.000000\n",
       "PGM                     2.995291\n",
       "ENO                     2.857887\n",
       "GND                     0.000000\n",
       "PGL                     0.000000\n",
       "HEX1                    1.428907\n",
       "PGI                     1.943454\n",
       "G6PDH2r                 0.000000\n",
       "PFK                     1.428907\n",
       "PYRt2m                  2.857822\n",
       "PDHm                    2.857853\n",
       "ICL                     0.000000\n",
       "MAS                     0.000000\n",
       "PYRDC                   0.000000\n",
       "ALDD2y                  0.000000\n",
       "ALCD2X_copy1            0.000000\n",
       "LactateDehydrogenase    0.000000\n",
       "dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106bbdef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10667af60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read boltzmann ODE reaction likelihoods\n",
    "ode_likelihoods_timeseries = pd.read_table('neurospora_pentose_phos.glycolysis.tca.2_reg.ode_lklhd',header=1, index_col = 0, quoting=2)\n",
    "\n",
    "temp = [x for x in ode_likelihoods_timeseries.columns if 'f_' in x]\n",
    "ode_fwd_likelihoods_timeseries = ode_likelihoods_timeseries[temp]\n",
    "temp = [x for x in ode_likelihoods_timeseries.columns if 'r_' in x]\n",
    "ode_rev_likelihoods_timeseries = ode_likelihoods_timeseries[temp]\n",
    "\n",
    "ode_fwd_likelihoods_timeseries.columns = [x.split(\"f_\")[-1] for x in ode_fwd_likelihoods_timeseries.columns]\n",
    "ode_rev_likelihoods_timeseries.columns = [x.split(\"r_\")[-1] for x in ode_rev_likelihoods_timeseries.columns]\n",
    "#fwd_column = ode_likelihoods_timeseries.iloc[:,fwd_column_idx].columns\n",
    "#rev_column = ode_likelihoods_timeseries.iloc[:,rev_column_idx].columns\n",
    "\n",
    "plt.figure()\n",
    "#ode_fwd_likelihoods_timeseries.plot(legend=True,logx=False,figsize=(12, 12))\n",
    "ode_fwd_likelihoods_timeseries.iloc[-1000:].plot(legend=False,logx=True,figsize=(12, 12))\n",
    "plt.yscale('symlog')\n",
    "#plt.legend(bbox_to_anchor=(1.02, 0.9),bbox_transform=plt.gcf().transFigure)\n",
    "display(ode_fwd_likelihoods_timeseries.iloc[-30:,].mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "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>Forward</th>\n",
       "      <th>Reverse</th>\n",
       "      <th>For-Rev</th>\n",
       "      <th>Rxn Probabilities</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ME1m</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ME2m</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CSm</th>\n",
       "      <td>3.167760</td>\n",
       "      <td>3.099452e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ACONTm</th>\n",
       "      <td>3.172948</td>\n",
       "      <td>3.151333e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICDHxm</th>\n",
       "      <td>2.943128</td>\n",
       "      <td>8.531371e-02</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AKGDm</th>\n",
       "      <td>2.943136</td>\n",
       "      <td>8.532161e-02</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCOASm</th>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151601e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCD1m</th>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151600e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FUMm</th>\n",
       "      <td>3.172975</td>\n",
       "      <td>3.151608e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDHm</th>\n",
       "      <td>3.168494</td>\n",
       "      <td>3.106795e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GAPD</th>\n",
       "      <td>2.857815</td>\n",
       "      <td>7.730613e-07</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGK</th>\n",
       "      <td>3.165480</td>\n",
       "      <td>3.076658e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TPI</th>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511438e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDH</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PEP_Carboxylase</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PPCK</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBA</th>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511434e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBP</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT2</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPE</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Xylulokinase</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK_org</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK</th>\n",
       "      <td>2.857850</td>\n",
       "      <td>3.583541e-05</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPI</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT1</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TALA</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGM</th>\n",
       "      <td>2.995291</td>\n",
       "      <td>1.374770e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENO</th>\n",
       "      <td>2.857887</td>\n",
       "      <td>7.274111e-05</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GND</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGL</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HEX1</th>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389075e-11</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGI</th>\n",
       "      <td>1.943454</td>\n",
       "      <td>5.145464e-01</td>\n",
       "      <td>1.428908</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>G6PDH2r</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PFK</th>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389073e-11</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRt2m</th>\n",
       "      <td>2.857822</td>\n",
       "      <td>8.046790e-06</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PDHm</th>\n",
       "      <td>2.857853</td>\n",
       "      <td>3.886308e-05</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICL</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MAS</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRDC</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALDD2y</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALCD2X_copy1</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LactateDehydrogenase</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       Forward       Reverse   For-Rev  Rxn Probabilities\n",
       "ME1m                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "ME2m                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "CSm                   3.167760  3.099452e-01  2.857815           0.057143\n",
       "ACONTm                3.172948  3.151333e-01  2.857815           0.057143\n",
       "ICDHxm                2.943128  8.531371e-02  2.857814           0.057143\n",
       "AKGDm                 2.943136  8.532161e-02  2.857814           0.057143\n",
       "SUCOASm               3.172974  3.151601e-01  2.857814           0.057143\n",
       "SUCD1m                3.172974  3.151600e-01  2.857814           0.057143\n",
       "FUMm                  3.172975  3.151608e-01  2.857814           0.057143\n",
       "MDHm                  3.168494  3.106795e-01  2.857815           0.057143\n",
       "GAPD                  2.857815  7.730613e-07  2.857814           0.057143\n",
       "PGK                   3.165480  3.076658e-01  2.857814           0.057143\n",
       "TPI                   1.428909  1.511438e-06  1.428907           0.028571\n",
       "MDH                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "PEP_Carboxylase       0.000000  0.000000e+00  0.000000           0.000000\n",
       "PPCK                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "FBA                   1.428909  1.511434e-06  1.428907           0.028571\n",
       "FBP                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "TKT2                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "RPE                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "Xylulokinase          0.000000  0.000000e+00  0.000000           0.000000\n",
       "PYK_org               0.000000  0.000000e+00  0.000000           0.000000\n",
       "PYK                   2.857850  3.583541e-05  2.857814           0.057143\n",
       "RPI                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "TKT1                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "TALA                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "PGM                   2.995291  1.374770e-01  2.857814           0.057143\n",
       "ENO                   2.857887  7.274111e-05  2.857814           0.057143\n",
       "GND                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "PGL                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "HEX1                  1.428907  1.389075e-11  1.428907           0.028571\n",
       "PGI                   1.943454  5.145464e-01  1.428908           0.028571\n",
       "G6PDH2r               0.000000  0.000000e+00  0.000000           0.000000\n",
       "PFK                   1.428907  1.389073e-11  1.428907           0.028571\n",
       "PYRt2m                2.857822  8.046790e-06  2.857814           0.057143\n",
       "PDHm                  2.857853  3.886308e-05  2.857814           0.057143\n",
       "ICL                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "MAS                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "PYRDC                 0.000000  0.000000e+00  0.000000           0.000000\n",
       "ALDD2y                0.000000  0.000000e+00  0.000000           0.000000\n",
       "ALCD2X_copy1          0.000000  0.000000e+00  0.000000           0.000000\n",
       "LactateDehydrogenase  0.000000  0.000000e+00  0.000000           0.000000"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ode_likelihoods_steadystate = pd.DataFrame(data = ode_fwd_likelihoods_timeseries.iloc[-20:].mean(), \n",
    "                                           index = ode_fwd_likelihoods_timeseries.columns,\n",
    "                                          columns =['Forward'])\n",
    "ode_likelihoods_steadystate['Reverse'] = ode_rev_likelihoods_timeseries.iloc[-20:].mean()\n",
    "ode_likelihoods_steadystate['For-Rev'] = ode_likelihoods_steadystate['Forward'] - ode_likelihoods_steadystate['Reverse']\n",
    "ode_likelihoods_steadystate['Rxn Probabilities'] = ode_likelihoods_steadystate['For-Rev']/np.sum(abs(ode_likelihoods_steadystate['For-Rev']))\n",
    "ode_likelihoods_steadystate                                   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
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7-phosphate\",\"label_x\":5925.436091216573,\"label_y\":4694.675349836323,\"node_is_primary\":true},\"681158\":{\"node_type\":\"multimarker\",\"x\":5457.144433282116,\"y\":4416.475666956701},\"681159\":{\"node_type\":\"midmarker\",\"x\":5437.14779781253,\"y\":4416.108829259021},\"681160\":{\"node_type\":\"multimarker\",\"x\":5417.151162342941,\"y\":4415.7419915613455},\"681161\":{\"node_type\":\"metabolite\",\"x\":5582.446887031156,\"y\":4600.768145035434,\"bigg_id\":\"e4p_c\",\"name\":\"D-Erythrose 4-phosphate\",\"label_x\":5628.504992499906,\"label_y\":4596.514727066684,\"node_is_primary\":true},\"681162\":{\"node_type\":\"metabolite\",\"x\":4884.633825,\"y\":5452.171119140625,\"bigg_id\":\"g3p_c\",\"name\":\"Glyceraldehyde 3-phosphate\",\"label_x\":4793.57962578125,\"label_y\":5470.519751953125,\"node_is_primary\":true},\"681164\":{\"node_type\":\"multimarker\",\"x\":5757.229485938987,\"y\":4745.1911923221305},\"681165\":{\"node_type\":\"midmarker\",\"x\":5737.233118184583,\"y\":4744.81004060606},\"681166\":{\"node_type\":\"multimarker\",\"x\":5717.236750430179,\"y\":4744.42888888999},\"681170\":{\"node_type\":\"multimarker\",\"x\":5811.7205574297495,\"y\":5017.583115735961},\"681171\":{\"node_type\":\"midmarker\",\"x\":5791.727965419229,\"y\":5018.127417766906},\"681172\":{\"node_type\":\"multimarker\",\"x\":5771.735373408715,\"y\":5018.67171979786},\"681173\":{\"node_type\":\"metabolite\",\"x\":5902.775825538994,\"y\":5055.11894061772,\"bigg_id\":\"atp_c\",\"name\":\"ATP\",\"label_x\":5932.775825538994,\"label_y\":5065.11894061772,\"node_is_primary\":false},\"681174\":{\"node_type\":\"metabolite\",\"x\":5641.783525340335,\"y\":5022.209682999042,\"bigg_id\":\"s17bp_c\",\"name\":\"Sedoheptulose 1,7-bisphosphate\",\"label_x\":5576.448564402835,\"label_y\":5061.393765030292,\"node_is_primary\":true},\"681175\":{\"node_type\":\"metabolite\",\"x\":5682.857313423275,\"y\":5061.1062629581775,\"bigg_id\":\"adp_c\",\"name\":\"ADP\",\"label_x\":5695.135633735775,\"label_y\":5097.6892707706775,\"node_is_primary\":false},\"681176\":{\"node_type\":\"metabolite\",\"x\":5680.680105299472,\"y\":4977.244781634852,\"bigg_id\":\"h_c\",\"name\":\"H+\",\"label_x\":5678.189870924472,\"label_y\":4957.708160541102,\"node_is_primary\":false},\"681177\":{\"node_type\":\"multimarker\",\"x\":5466.602565490323,\"y\":5021.370169710601},\"681178\":{\"node_type\":\"midmarker\",\"x\":5446.602595122823,\"y\":5021.404597883198},\"681179\":{\"node_type\":\"multimarker\",\"x\":5426.602624755323,\"y\":5021.439026055796},\"681196\":{\"node_type\":\"multimarker\",\"x\":3656.21822941599,\"y\":6497.805287603545},\"681197\":{\"node_type\":\"midmarker\",\"x\":3598.941102012005,\"y\":6539.033187616906},\"681198\":{\"node_type\":\"multimarker\",\"x\":3552.28262695177,\"y\":6566.100931380266},\"681199\":{\"node_type\":\"metabolite\",\"x\":3809.70605843637,\"y\":6454.362214350203,\"bigg_id\":\"coa_m\",\"name\":\"Coenzyme A\",\"label_x\":3824.70605843637,\"label_y\":6454.362214350203,\"node_is_primary\":false},\"681200\":{\"node_type\":\"metabolite\",\"x\":3709.9612274701094,\"y\":6346.559257618323,\"bigg_id\":\"nad_m\",\"name\":\"Nicotinamide adenine dinucleotide\",\"label_x\":3664.9612274701094,\"label_y\":6376.559257618323,\"node_is_primary\":false},\"681202\":{\"node_type\":\"metabolite\",\"x\":3335.720292960151,\"y\":6710.265906677991,\"bigg_id\":\"co2_m\",\"name\":\"CO2\",\"label_x\":3350.720292960151,\"label_y\":6710.265906677991,\"node_is_primary\":false},\"681203\":{\"node_type\":\"metabolite\",\"x\":3250.1336651188894,\"y\":6559.99029369611,\"bigg_id\":\"nadh_m\",\"name\":\"Nicotinamide adenine dinucleotide - reduced\",\"label_x\":3196.1336651188894,\"label_y\":6589.99029369611,\"node_is_primary\":false}},\"text_labels\":{\"667999\":{\"x\":4450.6298828125,\"y\":4739.9862060546875,\"text\":\"Glycolysis\"},\"668016\":{\"x\":3003.05224609375,\"y\":5951.006811718751,\"text\":\"TCA Cycle\"},\"668017\":{\"x\":5425.350830078125,\"y\":5632.343017578125,\"text\":\"Pentose Phosphate Pathway\"},\"668018\":{\"x\":2617.043701171875,\"y\":4210.3056640625,\"text\":\"Glycolysis\"}},\"canvas\":{\"x\":1891.530700976562,\"y\":1850.3106803671876,\"width\":4960.490337304691,\"height\":7502.07660657031}}]'),\n",
       "               model_data: JSON.parse('null'),\n",
       "               static_site_index: JSON.parse('null'),\n",
       "           };\n",
       "       }\n",
       "   })();\n",
       "  </script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from escher import Builder\n",
    "\n",
    "reaction_data = ode_likelihoods_steadystate['For-Rev'].to_dict()\n",
    "b = Builder(map_name=\"iMM904.compact_Glycolysis_TCA_PPP.json\",reaction_data=reaction_data)\n",
    "#b.display_in_browser(menu='all')\n",
    "b.display_in_notebook(menu='zoom')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Analyze Metabolite Levels from Deterministic Simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106fb5cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10668fd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read boltzmann stochastic reaction likelihoods\n",
    "ode_metabolites = pd.read_table('neurospora_pentose_phos.glycolysis.tca.2_reg.ode_concs',header=0,index_col=0)\n",
    "\n",
    "fig = plt.figure();\n",
    "plot = ode_metabolites[variable_metabolite_idx].plot(legend=False,logy=True,logx=True,figsize=(10, 10))\n",
    "fig = plot.get_figure()\n",
    "fig.savefig('metabolites_regulation.png')\n",
    "plt.legend(bbox_to_anchor=(1.40, 0.90),bbox_transform=plt.gcf().transFigure)\n",
    "fig.savefig('metabolites_regulation_legend.png',bbox_inches='tight')\n",
    "#plt.legend(bbox_to_anchor=(1.35, 0.95),bbox_transform=plt.gcf().transFigure)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-PHOSPHO-D-GLYCERATE:CYTOSOL              1.198412e-09\n",
       "3-PHOSPHO-D-GLYCERATE:CYTOSOL              9.246162e-08\n",
       "3-PHOSPHO-D-GLYCEROYL_PHOSPHATE:CYTOSOL    1.915114e-07\n",
       "BETA-D-GLUCOSE-6-PHOSPHATE:CYTOSOL         9.827222e-04\n",
       "D-FRUCTOSE_1,6-BISPHOSPHATE:CYTOSOL        5.848599e-04\n",
       "D-FRUCTOSE_6-PHOSPHATE:CYTOSOL             1.262518e-03\n",
       "D-GLYCERALDEHYDE-3-PHOSPHATE:CYTOSOL       3.700467e-15\n",
       "GLYCERONE_PHOSPHATE:CYTOSOL                5.215586e-08\n",
       "PHOSPHOENOLPYRUVATE:CYTOSOL                8.239296e-13\n",
       "PYRUVATE:CYTOSOL                           4.321473e-10\n",
       "(S)-MALATE:MITOCHONDRIA                    1.459268e-03\n",
       "2-OXOGLUTARATE:MITOCHONDRIA                5.568325e-10\n",
       "ACETYL-COA:MITOCHONDRIA                    6.337797e-07\n",
       "CITRATE:MITOCHONDRIA                       7.979930e-04\n",
       "FUMARATE:MITOCHONDRIA                      1.078654e-03\n",
       "ISOCITRATE:MITOCHONDRIA                    1.720703e-05\n",
       "OXALOACETATE:MITOCHONDRIA                  1.048364e-07\n",
       "PYRUVATE:MITOCHONDRIA                      1.849386e-13\n",
       "SUCCINATE:MITOCHONDRIA                     3.422553e-03\n",
       "SUCCINYL-COA:MITOCHONDRIA                  2.915238e-02\n",
       "Name: ODE, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ode_metabolites_steadystate = \\\n",
    "  pd.DataFrame(data = ode_metabolites.iloc[-30:,:].mean(),columns=['ODE'])\n",
    "#display(ode_metabolites_steadystate[ode_metabolites_steadystate['ODE'] > 1.0e-03])\n",
    "ode_metabolites_steadystate['Counts'] = ode_metabolites_steadystate['ODE']*Concentration2Count\n",
    "display(ode_metabolites_steadystate.loc[variable_metabolite_idx,'ODE'])\n",
    "#conc_file = open('steady_state_concentrations.txt', 'w')\n",
    "#print(ode_metabolites_steadystate,file=conc_file)\n",
    "##for y in ode_metabolites_steadystate.index:\n",
    "##    print(y,ode_metabolites.loc[y,:],file=conc_file)\n",
    "#    #print(reaction_df[y])\n",
    "#conc_file.close()    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Infer Regulated Reactions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "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>ODE</th>\n",
       "      <th>Expected</th>\n",
       "      <th>$\\Delta S_{reg}$</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reaction title</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>SUCOASm</th>\n",
       "      <td>4.599911e-08</td>\n",
       "      <td>1.000000e-09</td>\n",
       "      <td>3.828622</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         ODE      Expected  $\\Delta S_{reg}$\n",
       "reaction title                                              \n",
       "SUCOASm         4.599911e-08  1.000000e-09          3.828622"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ode_metabolites_steadystate['Expected'] = 1.0e-03\n",
    "\n",
    "S = pd.read_table('neurospora_pentose_phos.glycolysis.tca.2_reg.mat',header=0, index_col = 0, quoting=2)\n",
    "P = (S>0)\n",
    "del P['forward reaction']\n",
    "\n",
    "P = P.astype(np.float64)\n",
    "#display(R)\n",
    "product_concentrations = P.multiply(ode_metabolites_steadystate['ODE'],axis=1)\n",
    "product_concentrations[product_concentrations == 0] = 1\n",
    "product_concentrations_rxns = pd.DataFrame(data = product_concentrations.T.product(), columns=['ODE'])\n",
    "\n",
    "expect_product_concentrations = P.multiply(ode_metabolites_steadystate['Expected'],axis=1)\n",
    "expect_product_concentrations[expect_product_concentrations == 0] = 1\n",
    "product_concentrations_rxns['Expected'] = (expect_product_concentrations.T).product()\n",
    "\n",
    "s_regulation = '$\\Delta S_{reg}$'\n",
    "product_concentrations_rxns[s_regulation] = \\\n",
    "    np.log(product_concentrations_rxns['ODE']/product_concentrations_rxns['Expected'])\n",
    "\n",
    "idx = (ode_likelihoods_steadystate['Reverse'] != 0) & (ode_likelihoods_steadystate['Forward'] != 0) & \\\n",
    "            (product_concentrations_rxns[s_regulation]>1)\n",
    "\n",
    "display(product_concentrations_rxns[idx])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate Rate Constants\n",
    "For a simple reaction,\n",
    "\\begin{equation}\n",
    "A + B \\rightleftharpoons C + D,\n",
    "\\end{equation}\n",
    "with forward rate constant $k_{-1}$, reverse rate constant $k_{-1}$ and equilibrium constant $K_{1} = \\frac{k_{1}[A][B]}{k_{-1}[C][D]}$, the net flux $J_{1,net}$ is,\n",
    "\n",
    "\\begin{eqnarray}\n",
    "J_{1,net}& = &\\alpha \\cdot k_{1}[A][B] - \\alpha \\cdot k_{-1}[C][D]] \\\\\n",
    "         &  = &\\alpha \\cdot k_{1}[A][B] (1 - K_{-1}Q_{-1}^{-1}), \\\\\n",
    "\\end{eqnarray}\n",
    "where $\\alpha$ is the activity of the enzyme as a function of regulation at any level.\n",
    "Solving for the rate constant $k_{1}$,\n",
    "\\begin{equation}\n",
    "k_{1} = \\frac{J_{1, net}}{\\alpha \\cdot [A][B] (1 - K_{-1}Q_{-1}^{-1})}.\n",
    "\\end{equation}\n",
    "Since $p_{1,net} \\propto J_{1,net}$,\n",
    "\\begin{equation}\n",
    "k_{1} \\propto \\frac{p_{1, net}}{\\alpha \\cdot [A][B] (1 - K_{-1}Q_{-1}^{-1})}.\n",
    "\\end{equation}\n",
    "\n",
    "The value of $K_{-1}Q_{-1}^{-1}$ should be the instantaneous value equal to $e^{A/RT}$ rather than equal to $e^{-\\Delta G/RT}$. That is, in the reaction quotient the concentrations of the products should not be incremented by the stochiometric coefficients. The likelihoods printed out by Boltzmann are such that the product concentrations used to calculate the likelihood are incremented by the stoichiometric coefficients.\n",
    "\n",
    "*Note that the equations above do not require steady state dynamics.*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Equalize reaction probabilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "        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>Forward</th>\n",
       "      <th>Reverse</th>\n",
       "      <th>For-Rev</th>\n",
       "      <th>Rxn Probabilities</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ME1m</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ME2m</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CSm</th>\n",
       "      <td>3.167760</td>\n",
       "      <td>3.099452e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ACONTm</th>\n",
       "      <td>3.172948</td>\n",
       "      <td>3.151333e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICDHxm</th>\n",
       "      <td>2.943128</td>\n",
       "      <td>8.531371e-02</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AKGDm</th>\n",
       "      <td>2.943136</td>\n",
       "      <td>8.532161e-02</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCOASm</th>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151601e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCD1m</th>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151600e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FUMm</th>\n",
       "      <td>3.172975</td>\n",
       "      <td>3.151608e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDHm</th>\n",
       "      <td>3.168494</td>\n",
       "      <td>3.106795e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GAPD</th>\n",
       "      <td>2.857815</td>\n",
       "      <td>7.730613e-07</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGK</th>\n",
       "      <td>3.165480</td>\n",
       "      <td>3.076658e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TPI</th>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511438e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDH</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PEP_Carboxylase</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PPCK</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBA</th>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511434e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBP</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT2</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPE</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Xylulokinase</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK_org</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK</th>\n",
       "      <td>2.857850</td>\n",
       "      <td>3.583541e-05</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPI</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT1</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TALA</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGM</th>\n",
       "      <td>2.995291</td>\n",
       "      <td>1.374770e-01</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENO</th>\n",
       "      <td>2.857887</td>\n",
       "      <td>7.274111e-05</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GND</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGL</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HEX1</th>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389075e-11</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGI</th>\n",
       "      <td>1.943454</td>\n",
       "      <td>5.145464e-01</td>\n",
       "      <td>1.428908</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>G6PDH2r</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PFK</th>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389073e-11</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRt2m</th>\n",
       "      <td>2.857822</td>\n",
       "      <td>8.046790e-06</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PDHm</th>\n",
       "      <td>2.857853</td>\n",
       "      <td>3.886308e-05</td>\n",
       "      <td>2.857814</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICL</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MAS</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRDC</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALDD2y</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALCD2X_copy1</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LactateDehydrogenase</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       Forward       Reverse   For-Rev  Rxn Probabilities\n",
       "ME1m                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "ME2m                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "CSm                   3.167760  3.099452e-01  2.857815           0.057143\n",
       "ACONTm                3.172948  3.151333e-01  2.857815           0.057143\n",
       "ICDHxm                2.943128  8.531371e-02  2.857814           0.057143\n",
       "AKGDm                 2.943136  8.532161e-02  2.857814           0.057143\n",
       "SUCOASm               3.172974  3.151601e-01  2.857814           0.057143\n",
       "SUCD1m                3.172974  3.151600e-01  2.857814           0.057143\n",
       "FUMm                  3.172975  3.151608e-01  2.857814           0.057143\n",
       "MDHm                  3.168494  3.106795e-01  2.857815           0.057143\n",
       "GAPD                  2.857815  7.730613e-07  2.857814           0.057143\n",
       "PGK                   3.165480  3.076658e-01  2.857814           0.057143\n",
       "TPI                   1.428909  1.511438e-06  1.428907           0.028571\n",
       "MDH                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "PEP_Carboxylase       0.000000  0.000000e+00  0.000000           0.000000\n",
       "PPCK                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "FBA                   1.428909  1.511434e-06  1.428907           0.028571\n",
       "FBP                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "TKT2                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "RPE                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "Xylulokinase          0.000000  0.000000e+00  0.000000           0.000000\n",
       "PYK_org               0.000000  0.000000e+00  0.000000           0.000000\n",
       "PYK                   2.857850  3.583541e-05  2.857814           0.057143\n",
       "RPI                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "TKT1                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "TALA                  0.000000  0.000000e+00  0.000000           0.000000\n",
       "PGM                   2.995291  1.374770e-01  2.857814           0.057143\n",
       "ENO                   2.857887  7.274111e-05  2.857814           0.057143\n",
       "GND                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "PGL                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "HEX1                  1.428907  1.389075e-11  1.428907           0.028571\n",
       "PGI                   1.943454  5.145464e-01  1.428908           0.028571\n",
       "G6PDH2r               0.000000  0.000000e+00  0.000000           0.000000\n",
       "PFK                   1.428907  1.389073e-11  1.428907           0.028571\n",
       "PYRt2m                2.857822  8.046790e-06  2.857814           0.057143\n",
       "PDHm                  2.857853  3.886308e-05  2.857814           0.057143\n",
       "ICL                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "MAS                   0.000000  0.000000e+00  0.000000           0.000000\n",
       "PYRDC                 0.000000  0.000000e+00  0.000000           0.000000\n",
       "ALDD2y                0.000000  0.000000e+00  0.000000           0.000000\n",
       "ALCD2X_copy1          0.000000  0.000000e+00  0.000000           0.000000\n",
       "LactateDehydrogenase  0.000000  0.000000e+00  0.000000           0.000000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1 = 0.057143\n",
    "x2 = 0.028571\n",
    "delta = 0.000001\n",
    "idx1 = (ode_likelihoods_steadystate['Rxn Probabilities'] > x1-delta) & \\\n",
    "           (ode_likelihoods_steadystate['Rxn Probabilities'] < x1+delta)   \n",
    "\n",
    "idx2 = (ode_likelihoods_steadystate['Rxn Probabilities'] > x2-delta) & \\\n",
    "           (ode_likelihoods_steadystate['Rxn Probabilities'] < x2+delta)   \n",
    "total = idx1.astype(np.float64).sum()*x1 + idx2.astype(np.float64).sum()*x2\n",
    "display(total)\n",
    "ode_likelihoods_steadystate['Rxn Probabilities'][idx1] = x1/total\n",
    "ode_likelihoods_steadystate['Rxn Probabilities'][idx2] = x2/total\n",
    "display(ode_likelihoods_steadystate)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate the Unregulated Thermodynamic likelihood of the reactions\n",
    "In order to calculate rate constants, it is necessary to calculate $e^{A_{i}/RT} = K_{i}Q^{-1}_{i}$, where $A$ is the reaction affinity, $K_{i}$ is the equilibrium constant, and $Q_{i}$ is the reaction quotient for reaction $i$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "        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>Boltzmann Ke</th>\n",
       "      <th>Computed L_fwd</th>\n",
       "      <th>Computed L_rev</th>\n",
       "      <th>Boltzmann L_fwd</th>\n",
       "      <th>Boltzmann L_rev</th>\n",
       "      <th>steady state activity</th>\n",
       "      <th>Adjusted L_fwd</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Rxn_title</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ME1m</th>\n",
       "      <td>5.807996e-02</td>\n",
       "      <td>2.654559e+01</td>\n",
       "      <td>4.194902e-06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ME2m</th>\n",
       "      <td>5.733443e-02</td>\n",
       "      <td>1.463953e-02</td>\n",
       "      <td>7.606588e-03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CSm</th>\n",
       "      <td>5.326355e+07</td>\n",
       "      <td>3.167758e+00</td>\n",
       "      <td>3.156796e-01</td>\n",
       "      <td>3.167760</td>\n",
       "      <td>3.099452e-01</td>\n",
       "      <td>1.000001</td>\n",
       "      <td>3.167760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ACONTm</th>\n",
       "      <td>6.842451e-02</td>\n",
       "      <td>3.172948e+00</td>\n",
       "      <td>3.151339e-01</td>\n",
       "      <td>3.172948</td>\n",
       "      <td>3.151333e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172948</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICDHxm</th>\n",
       "      <td>7.291438e-01</td>\n",
       "      <td>2.943128e+00</td>\n",
       "      <td>8.532202e-02</td>\n",
       "      <td>2.943128</td>\n",
       "      <td>8.531371e-02</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.943128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AKGDm</th>\n",
       "      <td>3.513601e+05</td>\n",
       "      <td>2.943136e+00</td>\n",
       "      <td>3.397611e-01</td>\n",
       "      <td>2.943136</td>\n",
       "      <td>8.532161e-02</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.943136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCOASm</th>\n",
       "      <td>4.470177e-01</td>\n",
       "      <td>3.172974e+00</td>\n",
       "      <td>3.151612e-01</td>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151601e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCD1m</th>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>3.172975e+00</td>\n",
       "      <td>3.151606e-01</td>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151600e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FUMm</th>\n",
       "      <td>4.292596e+00</td>\n",
       "      <td>3.172975e+00</td>\n",
       "      <td>3.151613e-01</td>\n",
       "      <td>3.172975</td>\n",
       "      <td>3.151608e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDHm</th>\n",
       "      <td>7.381907e-06</td>\n",
       "      <td>3.168495e+00</td>\n",
       "      <td>3.106799e-01</td>\n",
       "      <td>3.168494</td>\n",
       "      <td>3.106795e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.168494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GAPD</th>\n",
       "      <td>3.954160e-01</td>\n",
       "      <td>2.857816e+00</td>\n",
       "      <td>3.469027e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>7.730613e-07</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGK</th>\n",
       "      <td>2.666982e+01</td>\n",
       "      <td>3.165480e+00</td>\n",
       "      <td>3.103344e-01</td>\n",
       "      <td>3.165480</td>\n",
       "      <td>3.076658e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.165480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TPI</th>\n",
       "      <td>4.549371e-02</td>\n",
       "      <td>1.428908e+00</td>\n",
       "      <td>1.559560e-06</td>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511438e-06</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDH</th>\n",
       "      <td>7.381907e-06</td>\n",
       "      <td>3.931003e-04</td>\n",
       "      <td>2.543825e+03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PEP_Carboxylase</th>\n",
       "      <td>2.755360e-08</td>\n",
       "      <td>3.316932e+00</td>\n",
       "      <td>1.495140e-04</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PPCK</th>\n",
       "      <td>6.322968e-02</td>\n",
       "      <td>1.083379e+01</td>\n",
       "      <td>4.577589e-05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBA</th>\n",
       "      <td>1.314826e-04</td>\n",
       "      <td>1.428909e+00</td>\n",
       "      <td>1.511438e-06</td>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511434e-06</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBP</th>\n",
       "      <td>3.776842e-03</td>\n",
       "      <td>9.819610e+04</td>\n",
       "      <td>1.018368e-05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT2</th>\n",
       "      <td>1.503324e-01</td>\n",
       "      <td>5.689675e-06</td>\n",
       "      <td>1.701447e+05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPE</th>\n",
       "      <td>1.368145e-01</td>\n",
       "      <td>1.092173e+00</td>\n",
       "      <td>9.103757e-01</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Xylulokinase</th>\n",
       "      <td>2.485987e+05</td>\n",
       "      <td>1.614927e+10</td>\n",
       "      <td>6.187785e-11</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK_org</th>\n",
       "      <td>1.244333e+05</td>\n",
       "      <td>2.857849e+00</td>\n",
       "      <td>7.225839e-02</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK</th>\n",
       "      <td>1.244333e+05</td>\n",
       "      <td>2.857849e+00</td>\n",
       "      <td>7.225839e-02</td>\n",
       "      <td>2.857850</td>\n",
       "      <td>3.583541e-05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857850</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPI</th>\n",
       "      <td>8.306288e-01</td>\n",
       "      <td>9.113205e-01</td>\n",
       "      <td>1.091041e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT1</th>\n",
       "      <td>1.076262e+00</td>\n",
       "      <td>1.623681e-06</td>\n",
       "      <td>6.122565e+05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TALA</th>\n",
       "      <td>3.264645e+01</td>\n",
       "      <td>5.463896e-07</td>\n",
       "      <td>1.773020e+06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGM</th>\n",
       "      <td>9.261562e-02</td>\n",
       "      <td>2.995291e+00</td>\n",
       "      <td>1.399460e-01</td>\n",
       "      <td>2.995291</td>\n",
       "      <td>1.374770e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.995291</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENO</th>\n",
       "      <td>3.961900e+00</td>\n",
       "      <td>2.857888e+00</td>\n",
       "      <td>1.735323e-04</td>\n",
       "      <td>2.857887</td>\n",
       "      <td>7.274111e-05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GND</th>\n",
       "      <td>3.711786e+02</td>\n",
       "      <td>2.221550e+11</td>\n",
       "      <td>4.497805e-12</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGL</th>\n",
       "      <td>1.337354e-07</td>\n",
       "      <td>1.337354e-07</td>\n",
       "      <td>7.477452e+06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HEX1</th>\n",
       "      <td>9.193007e+03</td>\n",
       "      <td>3.207288e+05</td>\n",
       "      <td>3.117884e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389075e-11</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>1.428907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGI</th>\n",
       "      <td>2.496787e+00</td>\n",
       "      <td>1.943453e+00</td>\n",
       "      <td>5.145473e-01</td>\n",
       "      <td>1.943454</td>\n",
       "      <td>5.145464e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.943454</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>G6PDH2r</th>\n",
       "      <td>1.737796e+00</td>\n",
       "      <td>1.799751e+04</td>\n",
       "      <td>5.556246e-05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PFK</th>\n",
       "      <td>8.667054e+03</td>\n",
       "      <td>3.207288e+05</td>\n",
       "      <td>3.117881e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389073e-11</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>1.428907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRt2m</th>\n",
       "      <td>1.098249e+01</td>\n",
       "      <td>2.857822e+00</td>\n",
       "      <td>3.896682e-05</td>\n",
       "      <td>2.857822</td>\n",
       "      <td>8.046790e-06</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857822</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PDHm</th>\n",
       "      <td>2.239131e+04</td>\n",
       "      <td>2.857852e+00</td>\n",
       "      <td>3.489860e-01</td>\n",
       "      <td>2.857853</td>\n",
       "      <td>3.886308e-05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857853</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICL</th>\n",
       "      <td>1.055610e+00</td>\n",
       "      <td>3.070124e-03</td>\n",
       "      <td>3.251788e+02</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MAS</th>\n",
       "      <td>1.914360e+08</td>\n",
       "      <td>2.302898e+05</td>\n",
       "      <td>4.342346e-06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRDC</th>\n",
       "      <td>9.866757e+01</td>\n",
       "      <td>4.263822e-04</td>\n",
       "      <td>2.345275e+03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALDD2y</th>\n",
       "      <td>3.587265e+09</td>\n",
       "      <td>6.277627e+07</td>\n",
       "      <td>1.592937e-08</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALCD2X_copy1</th>\n",
       "      <td>8.922578e+03</td>\n",
       "      <td>2.848360e+02</td>\n",
       "      <td>3.510790e-03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LactateDehydrogenase</th>\n",
       "      <td>3.030051e+03</td>\n",
       "      <td>2.517312e+01</td>\n",
       "      <td>3.972488e-02</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      Boltzmann Ke  Computed L_fwd  Computed L_rev  \\\n",
       "Rxn_title                                                            \n",
       "ME1m                  5.807996e-02    2.654559e+01    4.194902e-06   \n",
       "ME2m                  5.733443e-02    1.463953e-02    7.606588e-03   \n",
       "CSm                   5.326355e+07    3.167758e+00    3.156796e-01   \n",
       "ACONTm                6.842451e-02    3.172948e+00    3.151339e-01   \n",
       "ICDHxm                7.291438e-01    2.943128e+00    8.532202e-02   \n",
       "AKGDm                 3.513601e+05    2.943136e+00    3.397611e-01   \n",
       "SUCOASm               4.470177e-01    3.172974e+00    3.151612e-01   \n",
       "SUCD1m                1.000000e+00    3.172975e+00    3.151606e-01   \n",
       "FUMm                  4.292596e+00    3.172975e+00    3.151613e-01   \n",
       "MDHm                  7.381907e-06    3.168495e+00    3.106799e-01   \n",
       "GAPD                  3.954160e-01    2.857816e+00    3.469027e-01   \n",
       "PGK                   2.666982e+01    3.165480e+00    3.103344e-01   \n",
       "TPI                   4.549371e-02    1.428908e+00    1.559560e-06   \n",
       "MDH                   7.381907e-06    3.931003e-04    2.543825e+03   \n",
       "PEP_Carboxylase       2.755360e-08    3.316932e+00    1.495140e-04   \n",
       "PPCK                  6.322968e-02    1.083379e+01    4.577589e-05   \n",
       "FBA                   1.314826e-04    1.428909e+00    1.511438e-06   \n",
       "FBP                   3.776842e-03    9.819610e+04    1.018368e-05   \n",
       "TKT2                  1.503324e-01    5.689675e-06    1.701447e+05   \n",
       "RPE                   1.368145e-01    1.092173e+00    9.103757e-01   \n",
       "Xylulokinase          2.485987e+05    1.614927e+10    6.187785e-11   \n",
       "PYK_org               1.244333e+05    2.857849e+00    7.225839e-02   \n",
       "PYK                   1.244333e+05    2.857849e+00    7.225839e-02   \n",
       "RPI                   8.306288e-01    9.113205e-01    1.091041e+00   \n",
       "TKT1                  1.076262e+00    1.623681e-06    6.122565e+05   \n",
       "TALA                  3.264645e+01    5.463896e-07    1.773020e+06   \n",
       "PGM                   9.261562e-02    2.995291e+00    1.399460e-01   \n",
       "ENO                   3.961900e+00    2.857888e+00    1.735323e-04   \n",
       "GND                   3.711786e+02    2.221550e+11    4.497805e-12   \n",
       "PGL                   1.337354e-07    1.337354e-07    7.477452e+06   \n",
       "HEX1                  9.193007e+03    3.207288e+05    3.117884e-06   \n",
       "PGI                   2.496787e+00    1.943453e+00    5.145473e-01   \n",
       "G6PDH2r               1.737796e+00    1.799751e+04    5.556246e-05   \n",
       "PFK                   8.667054e+03    3.207288e+05    3.117881e-06   \n",
       "PYRt2m                1.098249e+01    2.857822e+00    3.896682e-05   \n",
       "PDHm                  2.239131e+04    2.857852e+00    3.489860e-01   \n",
       "ICL                   1.055610e+00    3.070124e-03    3.251788e+02   \n",
       "MAS                   1.914360e+08    2.302898e+05    4.342346e-06   \n",
       "PYRDC                 9.866757e+01    4.263822e-04    2.345275e+03   \n",
       "ALDD2y                3.587265e+09    6.277627e+07    1.592937e-08   \n",
       "ALCD2X_copy1          8.922578e+03    2.848360e+02    3.510790e-03   \n",
       "LactateDehydrogenase  3.030051e+03    2.517312e+01    3.972488e-02   \n",
       "\n",
       "                      Boltzmann L_fwd  Boltzmann L_rev  steady state activity  \\\n",
       "Rxn_title                                                                       \n",
       "ME1m                         0.000000     0.000000e+00               0.000000   \n",
       "ME2m                         0.000000     0.000000e+00               0.000000   \n",
       "CSm                          3.167760     3.099452e-01               1.000001   \n",
       "ACONTm                       3.172948     3.151333e-01               1.000000   \n",
       "ICDHxm                       2.943128     8.531371e-02               1.000000   \n",
       "AKGDm                        2.943136     8.532161e-02               1.000000   \n",
       "SUCOASm                      3.172974     3.151601e-01               1.000000   \n",
       "SUCD1m                       3.172974     3.151600e-01               1.000000   \n",
       "FUMm                         3.172975     3.151608e-01               1.000000   \n",
       "MDHm                         3.168494     3.106795e-01               1.000000   \n",
       "GAPD                         2.857815     7.730613e-07               1.000000   \n",
       "PGK                          3.165480     3.076658e-01               1.000000   \n",
       "TPI                          1.428909     1.511438e-06               1.000000   \n",
       "MDH                          0.000000     0.000000e+00               0.000000   \n",
       "PEP_Carboxylase              0.000000     0.000000e+00               0.000000   \n",
       "PPCK                         0.000000     0.000000e+00               0.000000   \n",
       "FBA                          1.428909     1.511434e-06               1.000000   \n",
       "FBP                          0.000000     0.000000e+00               0.000000   \n",
       "TKT2                         0.000000     0.000000e+00               0.000000   \n",
       "RPE                          0.000000     0.000000e+00               0.000000   \n",
       "Xylulokinase                 0.000000     0.000000e+00               0.000000   \n",
       "PYK_org                      0.000000     0.000000e+00               0.000000   \n",
       "PYK                          2.857850     3.583541e-05               1.000000   \n",
       "RPI                          0.000000     0.000000e+00               0.000000   \n",
       "TKT1                         0.000000     0.000000e+00               0.000000   \n",
       "TALA                         0.000000     0.000000e+00               0.000000   \n",
       "PGM                          2.995291     1.374770e-01               1.000000   \n",
       "ENO                          2.857887     7.274111e-05               1.000000   \n",
       "GND                          0.000000     0.000000e+00               0.000000   \n",
       "PGL                          0.000000     0.000000e+00               0.000000   \n",
       "HEX1                         1.428907     1.389075e-11               0.000004   \n",
       "PGI                          1.943454     5.145464e-01               1.000000   \n",
       "G6PDH2r                      0.000000     0.000000e+00               0.000000   \n",
       "PFK                          1.428907     1.389073e-11               0.000004   \n",
       "PYRt2m                       2.857822     8.046790e-06               1.000000   \n",
       "PDHm                         2.857853     3.886308e-05               1.000000   \n",
       "ICL                          0.000000     0.000000e+00               0.000000   \n",
       "MAS                          0.000000     0.000000e+00               0.000000   \n",
       "PYRDC                        0.000000     0.000000e+00               0.000000   \n",
       "ALDD2y                       0.000000     0.000000e+00               0.000000   \n",
       "ALCD2X_copy1                 0.000000     0.000000e+00               0.000000   \n",
       "LactateDehydrogenase         0.000000     0.000000e+00               0.000000   \n",
       "\n",
       "                      Adjusted L_fwd  \n",
       "Rxn_title                             \n",
       "ME1m                        0.000000  \n",
       "ME2m                        0.000000  \n",
       "CSm                         3.167760  \n",
       "ACONTm                      3.172948  \n",
       "ICDHxm                      2.943128  \n",
       "AKGDm                       2.943136  \n",
       "SUCOASm                     3.172974  \n",
       "SUCD1m                      3.172974  \n",
       "FUMm                        3.172975  \n",
       "MDHm                        3.168494  \n",
       "GAPD                        2.857815  \n",
       "PGK                         3.165480  \n",
       "TPI                         1.428909  \n",
       "MDH                         0.000000  \n",
       "PEP_Carboxylase             0.000000  \n",
       "PPCK                        0.000000  \n",
       "FBA                         1.428909  \n",
       "FBP                         0.000000  \n",
       "TKT2                        0.000000  \n",
       "RPE                         0.000000  \n",
       "Xylulokinase                0.000000  \n",
       "PYK_org                     0.000000  \n",
       "PYK                         2.857850  \n",
       "RPI                         0.000000  \n",
       "TKT1                        0.000000  \n",
       "TALA                        0.000000  \n",
       "PGM                         2.995291  \n",
       "ENO                         2.857887  \n",
       "GND                         0.000000  \n",
       "PGL                         0.000000  \n",
       "HEX1                        1.428907  \n",
       "PGI                         1.943454  \n",
       "G6PDH2r                     0.000000  \n",
       "PFK                         1.428907  \n",
       "PYRt2m                      2.857822  \n",
       "PDHm                        2.857853  \n",
       "ICL                         0.000000  \n",
       "MAS                         0.000000  \n",
       "PYRDC                       0.000000  \n",
       "ALDD2y                      0.000000  \n",
       "ALCD2X_copy1                0.000000  \n",
       "LactateDehydrogenase        0.000000  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S = pd.read_table('neurospora_pentose_phos.glycolysis.tca.2_reg.mat',header=0, index_col = 0, quoting=2)\n",
    "#display(S)\n",
    "R = (S<0)\n",
    "P = S>0\n",
    "del R['forward reaction']\n",
    "del P['forward reaction']\n",
    "del S['forward reaction']\n",
    "\n",
    "R_values = np.abs(S[R])\n",
    "R_values[R_values.isnull()] = 0\n",
    "P_values = np.abs(S[P])\n",
    "P_values[P_values.isnull()] = 0\n",
    "\n",
    "#S['H2O:CYTOSOL'] =0\n",
    "#S['H2O:GLYOXYSOME'] =0\n",
    "#S['H2O:MITOCHONDRIA'] =0\n",
    "\n",
    "volume_coeff = S.sum(axis=1)\n",
    "\n",
    "R = R.astype(np.float64)\n",
    "P = P.astype(np.float64)\n",
    "\n",
    "steadyState_counts = ode_metabolites_steadystate['ODE']*Concentration2Count\n",
    "\n",
    "#reactant_counts = ode_metabolites_steadystate['ODE']*Concentration2Count\n",
    "reactant_counts = R.multiply(steadyState_counts,axis=1)\n",
    "reactant_counts = reactant_counts.pow(R_values)\n",
    "reactant_concs =  R.multiply(ode_metabolites_steadystate['ODE'])\n",
    "reactant_concs = reactant_concs.pow(R_values)\n",
    "product_counts = P.multiply(steadyState_counts,axis=1)\n",
    "#display(reactant_counts)\n",
    "product_concs = P.multiply(ode_metabolites_steadystate['ODE'])\n",
    "\n",
    "# To the products, increment the current values by the stoichiometric coefficient if comparing to the Boltzman\n",
    "# likelihoods. But if using the computed likelihoods to calculate rate constants, then don't increment.\n",
    "product_counts_incremented = product_counts + P.multiply(1)\n",
    "product_concs_incremented = product_concs + P.multiply(concentration_increment)\n",
    "# For calculation of the reaction quotient, need to take each concentration to the power of its stoichimetry:\n",
    "product_counts = product_counts.pow(P_values)\n",
    "product_counts_incremented = product_counts_incremented.pow(P_values)\n",
    "product_concs = product_concs.pow(P_values)\n",
    "product_concs_incremented = product_concs_incremented.pow(P_values)\n",
    "\n",
    "#Need to increment reactant counts/concs for calculating likelihood of reverse reaction!\n",
    "\n",
    "# Take the product of counts of all reactants for a reaction\n",
    "reactant_counts_rxns = (reactant_counts[reactant_counts != 0].T).product()\n",
    "reactant_concs_rxns = (reactant_concs[reactant_concs != 0].T).product()\n",
    "\n",
    "# Take the product of counts of all products for a reaction\n",
    "product_counts_rxns = (product_counts[product_counts != 0].T).product()\n",
    "product_concs_rxns = (product_concs[product_concs != 0].T).product()\n",
    "product_counts_incremented_rxns = (product_counts_incremented[product_counts_incremented != 0].T).product()\n",
    "product_concs_incremented_rxns = (product_concs_incremented[product_concs_incremented != 0].T).product()\n",
    "#denominator = reactant_counts_rxns.multiply(1-ode_likelihoods_steadystate['Reverse'])\n",
    "\n",
    "K_eq = pd.read_table('neurospora_pentose_phos.glycolysis.tca.2_reg.dg0ke',header=0, index_col = 0, quoting=2)\n",
    "\n",
    "# Calculate rate constants\n",
    "result = pd.DataFrame()\n",
    "result['Boltzmann Ke'] = K_eq['Ke']\n",
    "# Notice that Computed L_fwd uses incremented product counts. That is so we can compare to Boltzmann values\n",
    "# when calculating the activities. That is, these need to use the same formula.\n",
    "result['Computed L_fwd'] = result['Boltzmann Ke'].multiply(reactant_counts_rxns.divide(product_counts_incremented_rxns))\n",
    "# In contrast to Computed L_fwd, Computed L_rev does not use incremented product counts when calculating the value.\n",
    "# This is because we need Computed L_rev to look like the exponent of the reaction affinity, not the free \n",
    "# energy change. See markup above.\n",
    "result['Computed L_rev'] = (product_counts_rxns.divide(reactant_counts_rxns)).divide(result['Boltzmann Ke'])\n",
    "\n",
    "result['Boltzmann L_fwd'] = ode_likelihoods_steadystate['Forward']\n",
    "result['Boltzmann L_rev'] = ode_likelihoods_steadystate['Reverse']\n",
    "result['steady state activity'] = result['Boltzmann L_fwd'].divide(result['Computed L_fwd'])\n",
    "result['Adjusted L_fwd'] = result['Computed L_fwd'].multiply(result['steady state activity'])\n",
    "display(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate Rate Constants/Parameters\n",
    "The program Boltzmann can formulate the ODEs for the time dependence of metabolites using either metabolite levels in counts or concentrations. The rate parameters will differ depending on whether counts or concentrations are used. Below both types of rate parameters are calculated, but in the end, the rate parameters using counts are output to a file to be used as input for Boltzmann."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Boltzmann Ke</th>\n",
       "      <th>Computed L_fwd</th>\n",
       "      <th>Computed L_rev</th>\n",
       "      <th>Boltzmann L_fwd</th>\n",
       "      <th>Boltzmann L_rev</th>\n",
       "      <th>steady state activity</th>\n",
       "      <th>Adjusted L_fwd</th>\n",
       "      <th>Fwd Rate Constants Counts</th>\n",
       "      <th>Fwd Rate Constants Concs</th>\n",
       "      <th>Rev Rate Constants Counts</th>\n",
       "      <th>Rev Rate Constants Concs</th>\n",
       "      <th>Computed Ke</th>\n",
       "      <th>Fwd Rate</th>\n",
       "      <th>Rev Rate</th>\n",
       "      <th>Rxn Flux</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Rxn_title</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ME1m</th>\n",
       "      <td>5.807996e-02</td>\n",
       "      <td>2.654559e+01</td>\n",
       "      <td>4.194902e-06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ME2m</th>\n",
       "      <td>5.733443e-02</td>\n",
       "      <td>1.463953e-02</td>\n",
       "      <td>7.606588e-03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CSm</th>\n",
       "      <td>5.326355e+07</td>\n",
       "      <td>3.167758e+00</td>\n",
       "      <td>3.156796e-01</td>\n",
       "      <td>3.167760</td>\n",
       "      <td>3.099452e-01</td>\n",
       "      <td>1.000001</td>\n",
       "      <td>3.167760</td>\n",
       "      <td>3.465382e-06</td>\n",
       "      <td>3.465382e-06</td>\n",
       "      <td>6.506103e-14</td>\n",
       "      <td>6.506103e-29</td>\n",
       "      <td>5.326355e+07</td>\n",
       "      <td>0.083503</td>\n",
       "      <td>2.636029e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ACONTm</th>\n",
       "      <td>6.842451e-02</td>\n",
       "      <td>3.172948e+00</td>\n",
       "      <td>3.151339e-01</td>\n",
       "      <td>3.172948</td>\n",
       "      <td>3.151333e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172948</td>\n",
       "      <td>1.736230e-07</td>\n",
       "      <td>1.736230e-07</td>\n",
       "      <td>2.537439e-06</td>\n",
       "      <td>2.537439e-06</td>\n",
       "      <td>6.842451e-02</td>\n",
       "      <td>0.083437</td>\n",
       "      <td>2.629375e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICDHxm</th>\n",
       "      <td>7.291438e-01</td>\n",
       "      <td>2.943128e+00</td>\n",
       "      <td>8.532202e-02</td>\n",
       "      <td>2.943128</td>\n",
       "      <td>8.531371e-02</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.943128</td>\n",
       "      <td>3.850469e-12</td>\n",
       "      <td>3.850469e-12</td>\n",
       "      <td>5.280809e-12</td>\n",
       "      <td>5.280809e+03</td>\n",
       "      <td>7.291438e-01</td>\n",
       "      <td>0.062473</td>\n",
       "      <td>5.330353e-03</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AKGDm</th>\n",
       "      <td>3.513601e+05</td>\n",
       "      <td>2.943136e+00</td>\n",
       "      <td>3.397611e-01</td>\n",
       "      <td>2.943136</td>\n",
       "      <td>8.532161e-02</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.943136</td>\n",
       "      <td>1.955165e-13</td>\n",
       "      <td>1.955165e-13</td>\n",
       "      <td>5.564560e-19</td>\n",
       "      <td>5.564560e-19</td>\n",
       "      <td>3.513601e+05</td>\n",
       "      <td>0.086549</td>\n",
       "      <td>2.940598e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCOASm</th>\n",
       "      <td>4.470177e-01</td>\n",
       "      <td>3.172974e+00</td>\n",
       "      <td>3.151612e-01</td>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151601e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172974</td>\n",
       "      <td>1.170119e-21</td>\n",
       "      <td>1.170119e-21</td>\n",
       "      <td>2.617611e-21</td>\n",
       "      <td>2.617611e-21</td>\n",
       "      <td>4.470177e-01</td>\n",
       "      <td>0.083440</td>\n",
       "      <td>2.629707e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SUCD1m</th>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>3.172975e+00</td>\n",
       "      <td>3.151606e-01</td>\n",
       "      <td>3.172974</td>\n",
       "      <td>3.151600e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172974</td>\n",
       "      <td>6.722371e-14</td>\n",
       "      <td>6.722371e-14</td>\n",
       "      <td>6.722371e-14</td>\n",
       "      <td>6.722371e-14</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.083440</td>\n",
       "      <td>2.629701e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FUMm</th>\n",
       "      <td>4.292596e+00</td>\n",
       "      <td>3.172975e+00</td>\n",
       "      <td>3.151613e-01</td>\n",
       "      <td>3.172975</td>\n",
       "      <td>3.151608e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.172975</td>\n",
       "      <td>1.284522e-07</td>\n",
       "      <td>1.284522e-07</td>\n",
       "      <td>2.992414e-08</td>\n",
       "      <td>2.992414e-23</td>\n",
       "      <td>4.292596e+00</td>\n",
       "      <td>0.083440</td>\n",
       "      <td>2.629709e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDHm</th>\n",
       "      <td>7.381907e-06</td>\n",
       "      <td>3.168495e+00</td>\n",
       "      <td>3.106799e-01</td>\n",
       "      <td>3.168494</td>\n",
       "      <td>3.106795e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.168494</td>\n",
       "      <td>6.024654e-14</td>\n",
       "      <td>6.024654e-14</td>\n",
       "      <td>8.161378e-09</td>\n",
       "      <td>8.161378e-09</td>\n",
       "      <td>7.381907e-06</td>\n",
       "      <td>0.082898</td>\n",
       "      <td>2.575463e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GAPD</th>\n",
       "      <td>3.954160e-01</td>\n",
       "      <td>2.857816e+00</td>\n",
       "      <td>3.469027e-01</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>7.730613e-07</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857815</td>\n",
       "      <td>2.081961e-09</td>\n",
       "      <td>2.081961e-09</td>\n",
       "      <td>5.265243e-09</td>\n",
       "      <td>5.265243e-24</td>\n",
       "      <td>3.954160e-01</td>\n",
       "      <td>0.087495</td>\n",
       "      <td>3.035239e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGK</th>\n",
       "      <td>2.666982e+01</td>\n",
       "      <td>3.165480e+00</td>\n",
       "      <td>3.103344e-01</td>\n",
       "      <td>3.165480</td>\n",
       "      <td>3.076658e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.165480</td>\n",
       "      <td>2.130296e-09</td>\n",
       "      <td>2.130296e-09</td>\n",
       "      <td>7.987666e-11</td>\n",
       "      <td>7.987666e-11</td>\n",
       "      <td>2.666982e+01</td>\n",
       "      <td>0.082856</td>\n",
       "      <td>2.571310e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TPI</th>\n",
       "      <td>4.549371e-02</td>\n",
       "      <td>1.428908e+00</td>\n",
       "      <td>1.559560e-06</td>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511438e-06</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428909</td>\n",
       "      <td>9.096450e-04</td>\n",
       "      <td>9.096450e-04</td>\n",
       "      <td>1.999496e-02</td>\n",
       "      <td>1.999496e-02</td>\n",
       "      <td>4.549371e-02</td>\n",
       "      <td>0.028571</td>\n",
       "      <td>4.455826e-08</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MDH</th>\n",
       "      <td>7.381907e-06</td>\n",
       "      <td>3.931003e-04</td>\n",
       "      <td>2.543825e+03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PEP_Carboxylase</th>\n",
       "      <td>2.755360e-08</td>\n",
       "      <td>3.316932e+00</td>\n",
       "      <td>1.495140e-04</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PPCK</th>\n",
       "      <td>6.322968e-02</td>\n",
       "      <td>1.083379e+01</td>\n",
       "      <td>4.577589e-05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBA</th>\n",
       "      <td>1.314826e-04</td>\n",
       "      <td>1.428909e+00</td>\n",
       "      <td>1.511438e-06</td>\n",
       "      <td>1.428909</td>\n",
       "      <td>1.511434e-06</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428909</td>\n",
       "      <td>8.111913e-08</td>\n",
       "      <td>8.111913e-08</td>\n",
       "      <td>6.169572e-04</td>\n",
       "      <td>6.169572e+11</td>\n",
       "      <td>1.314826e-04</td>\n",
       "      <td>0.028571</td>\n",
       "      <td>4.318337e-08</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FBP</th>\n",
       "      <td>3.776842e-03</td>\n",
       "      <td>9.819610e+04</td>\n",
       "      <td>1.018368e-05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT2</th>\n",
       "      <td>1.503324e-01</td>\n",
       "      <td>5.689675e-06</td>\n",
       "      <td>1.701447e+05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPE</th>\n",
       "      <td>1.368145e-01</td>\n",
       "      <td>1.092173e+00</td>\n",
       "      <td>9.103757e-01</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Xylulokinase</th>\n",
       "      <td>2.485987e+05</td>\n",
       "      <td>1.614927e+10</td>\n",
       "      <td>6.187785e-11</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK_org</th>\n",
       "      <td>1.244333e+05</td>\n",
       "      <td>2.857849e+00</td>\n",
       "      <td>7.225839e-02</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYK</th>\n",
       "      <td>1.244333e+05</td>\n",
       "      <td>2.857849e+00</td>\n",
       "      <td>7.225839e-02</td>\n",
       "      <td>2.857850</td>\n",
       "      <td>3.583541e-05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857850</td>\n",
       "      <td>3.680916e-04</td>\n",
       "      <td>3.680916e-04</td>\n",
       "      <td>2.958144e-09</td>\n",
       "      <td>2.958144e-09</td>\n",
       "      <td>1.244333e+05</td>\n",
       "      <td>0.061594</td>\n",
       "      <td>4.450659e-03</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RPI</th>\n",
       "      <td>8.306288e-01</td>\n",
       "      <td>9.113205e-01</td>\n",
       "      <td>1.091041e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TKT1</th>\n",
       "      <td>1.076262e+00</td>\n",
       "      <td>1.623681e-06</td>\n",
       "      <td>6.122565e+05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TALA</th>\n",
       "      <td>3.264645e+01</td>\n",
       "      <td>5.463896e-07</td>\n",
       "      <td>1.773020e+06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGM</th>\n",
       "      <td>9.261562e-02</td>\n",
       "      <td>2.995291e+00</td>\n",
       "      <td>1.399460e-01</td>\n",
       "      <td>2.995291</td>\n",
       "      <td>1.374770e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.995291</td>\n",
       "      <td>1.193232e-03</td>\n",
       "      <td>1.193232e-03</td>\n",
       "      <td>1.288370e-02</td>\n",
       "      <td>1.288370e-02</td>\n",
       "      <td>9.261562e-02</td>\n",
       "      <td>0.066441</td>\n",
       "      <td>9.298175e-03</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENO</th>\n",
       "      <td>3.961900e+00</td>\n",
       "      <td>2.857888e+00</td>\n",
       "      <td>1.735323e-04</td>\n",
       "      <td>2.857887</td>\n",
       "      <td>7.274111e-05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857887</td>\n",
       "      <td>7.919202e-02</td>\n",
       "      <td>7.919202e-02</td>\n",
       "      <td>1.998839e-02</td>\n",
       "      <td>1.998839e+13</td>\n",
       "      <td>3.961900e+00</td>\n",
       "      <td>0.057153</td>\n",
       "      <td>9.917880e-06</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GND</th>\n",
       "      <td>3.711786e+02</td>\n",
       "      <td>2.221550e+11</td>\n",
       "      <td>4.497805e-12</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGL</th>\n",
       "      <td>1.337354e-07</td>\n",
       "      <td>1.337354e-07</td>\n",
       "      <td>7.477452e+06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HEX1</th>\n",
       "      <td>9.193007e+03</td>\n",
       "      <td>3.207288e+05</td>\n",
       "      <td>3.117884e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389075e-11</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>9.209961e-10</td>\n",
       "      <td>9.209961e-10</td>\n",
       "      <td>1.001844e-13</td>\n",
       "      <td>1.001844e-13</td>\n",
       "      <td>9.193007e+03</td>\n",
       "      <td>0.028571</td>\n",
       "      <td>8.908135e-08</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PGI</th>\n",
       "      <td>2.496787e+00</td>\n",
       "      <td>1.943453e+00</td>\n",
       "      <td>5.145473e-01</td>\n",
       "      <td>1.943454</td>\n",
       "      <td>5.145464e-01</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.943454</td>\n",
       "      <td>9.944815e-08</td>\n",
       "      <td>9.944815e-08</td>\n",
       "      <td>3.983045e-08</td>\n",
       "      <td>3.983045e-08</td>\n",
       "      <td>2.496787e+00</td>\n",
       "      <td>0.058854</td>\n",
       "      <td>3.028335e-02</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>G6PDH2r</th>\n",
       "      <td>1.737796e+00</td>\n",
       "      <td>1.799751e+04</td>\n",
       "      <td>5.556246e-05</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PFK</th>\n",
       "      <td>8.667054e+03</td>\n",
       "      <td>3.207288e+05</td>\n",
       "      <td>3.117881e-06</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.389073e-11</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>1.428907</td>\n",
       "      <td>1.458983e-09</td>\n",
       "      <td>1.458983e-09</td>\n",
       "      <td>1.683366e-13</td>\n",
       "      <td>1.683366e-13</td>\n",
       "      <td>8.667054e+03</td>\n",
       "      <td>0.028571</td>\n",
       "      <td>8.908126e-08</td>\n",
       "      <td>0.028571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRt2m</th>\n",
       "      <td>1.098249e+01</td>\n",
       "      <td>2.857822e+00</td>\n",
       "      <td>3.896682e-05</td>\n",
       "      <td>2.857822</td>\n",
       "      <td>8.046790e-06</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857822</td>\n",
       "      <td>2.195823e-01</td>\n",
       "      <td>2.195823e-01</td>\n",
       "      <td>1.999385e-02</td>\n",
       "      <td>1.999385e-02</td>\n",
       "      <td>1.098249e+01</td>\n",
       "      <td>0.057145</td>\n",
       "      <td>2.226768e-06</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PDHm</th>\n",
       "      <td>2.239131e+04</td>\n",
       "      <td>2.857852e+00</td>\n",
       "      <td>3.489860e-01</td>\n",
       "      <td>2.857853</td>\n",
       "      <td>3.886308e-05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.857853</td>\n",
       "      <td>5.970227e-10</td>\n",
       "      <td>5.970227e-10</td>\n",
       "      <td>2.666314e-14</td>\n",
       "      <td>2.666314e-14</td>\n",
       "      <td>2.239131e+04</td>\n",
       "      <td>0.087775</td>\n",
       "      <td>3.063237e-02</td>\n",
       "      <td>0.057143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ICL</th>\n",
       "      <td>1.055610e+00</td>\n",
       "      <td>3.070124e-03</td>\n",
       "      <td>3.251788e+02</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MAS</th>\n",
       "      <td>1.914360e+08</td>\n",
       "      <td>2.302898e+05</td>\n",
       "      <td>4.342346e-06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PYRDC</th>\n",
       "      <td>9.866757e+01</td>\n",
       "      <td>4.263822e-04</td>\n",
       "      <td>2.345275e+03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALDD2y</th>\n",
       "      <td>3.587265e+09</td>\n",
       "      <td>6.277627e+07</td>\n",
       "      <td>1.592937e-08</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ALCD2X_copy1</th>\n",
       "      <td>8.922578e+03</td>\n",
       "      <td>2.848360e+02</td>\n",
       "      <td>3.510790e-03</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LactateDehydrogenase</th>\n",
       "      <td>3.030051e+03</td>\n",
       "      <td>2.517312e+01</td>\n",
       "      <td>3.972488e-02</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      Boltzmann Ke  Computed L_fwd  Computed L_rev  \\\n",
       "Rxn_title                                                            \n",
       "ME1m                  5.807996e-02    2.654559e+01    4.194902e-06   \n",
       "ME2m                  5.733443e-02    1.463953e-02    7.606588e-03   \n",
       "CSm                   5.326355e+07    3.167758e+00    3.156796e-01   \n",
       "ACONTm                6.842451e-02    3.172948e+00    3.151339e-01   \n",
       "ICDHxm                7.291438e-01    2.943128e+00    8.532202e-02   \n",
       "AKGDm                 3.513601e+05    2.943136e+00    3.397611e-01   \n",
       "SUCOASm               4.470177e-01    3.172974e+00    3.151612e-01   \n",
       "SUCD1m                1.000000e+00    3.172975e+00    3.151606e-01   \n",
       "FUMm                  4.292596e+00    3.172975e+00    3.151613e-01   \n",
       "MDHm                  7.381907e-06    3.168495e+00    3.106799e-01   \n",
       "GAPD                  3.954160e-01    2.857816e+00    3.469027e-01   \n",
       "PGK                   2.666982e+01    3.165480e+00    3.103344e-01   \n",
       "TPI                   4.549371e-02    1.428908e+00    1.559560e-06   \n",
       "MDH                   7.381907e-06    3.931003e-04    2.543825e+03   \n",
       "PEP_Carboxylase       2.755360e-08    3.316932e+00    1.495140e-04   \n",
       "PPCK                  6.322968e-02    1.083379e+01    4.577589e-05   \n",
       "FBA                   1.314826e-04    1.428909e+00    1.511438e-06   \n",
       "FBP                   3.776842e-03    9.819610e+04    1.018368e-05   \n",
       "TKT2                  1.503324e-01    5.689675e-06    1.701447e+05   \n",
       "RPE                   1.368145e-01    1.092173e+00    9.103757e-01   \n",
       "Xylulokinase          2.485987e+05    1.614927e+10    6.187785e-11   \n",
       "PYK_org               1.244333e+05    2.857849e+00    7.225839e-02   \n",
       "PYK                   1.244333e+05    2.857849e+00    7.225839e-02   \n",
       "RPI                   8.306288e-01    9.113205e-01    1.091041e+00   \n",
       "TKT1                  1.076262e+00    1.623681e-06    6.122565e+05   \n",
       "TALA                  3.264645e+01    5.463896e-07    1.773020e+06   \n",
       "PGM                   9.261562e-02    2.995291e+00    1.399460e-01   \n",
       "ENO                   3.961900e+00    2.857888e+00    1.735323e-04   \n",
       "GND                   3.711786e+02    2.221550e+11    4.497805e-12   \n",
       "PGL                   1.337354e-07    1.337354e-07    7.477452e+06   \n",
       "HEX1                  9.193007e+03    3.207288e+05    3.117884e-06   \n",
       "PGI                   2.496787e+00    1.943453e+00    5.145473e-01   \n",
       "G6PDH2r               1.737796e+00    1.799751e+04    5.556246e-05   \n",
       "PFK                   8.667054e+03    3.207288e+05    3.117881e-06   \n",
       "PYRt2m                1.098249e+01    2.857822e+00    3.896682e-05   \n",
       "PDHm                  2.239131e+04    2.857852e+00    3.489860e-01   \n",
       "ICL                   1.055610e+00    3.070124e-03    3.251788e+02   \n",
       "MAS                   1.914360e+08    2.302898e+05    4.342346e-06   \n",
       "PYRDC                 9.866757e+01    4.263822e-04    2.345275e+03   \n",
       "ALDD2y                3.587265e+09    6.277627e+07    1.592937e-08   \n",
       "ALCD2X_copy1          8.922578e+03    2.848360e+02    3.510790e-03   \n",
       "LactateDehydrogenase  3.030051e+03    2.517312e+01    3.972488e-02   \n",
       "\n",
       "                      Boltzmann L_fwd  Boltzmann L_rev  steady state activity  \\\n",
       "Rxn_title                                                                       \n",
       "ME1m                         0.000000     0.000000e+00               0.000000   \n",
       "ME2m                         0.000000     0.000000e+00               0.000000   \n",
       "CSm                          3.167760     3.099452e-01               1.000001   \n",
       "ACONTm                       3.172948     3.151333e-01               1.000000   \n",
       "ICDHxm                       2.943128     8.531371e-02               1.000000   \n",
       "AKGDm                        2.943136     8.532161e-02               1.000000   \n",
       "SUCOASm                      3.172974     3.151601e-01               1.000000   \n",
       "SUCD1m                       3.172974     3.151600e-01               1.000000   \n",
       "FUMm                         3.172975     3.151608e-01               1.000000   \n",
       "MDHm                         3.168494     3.106795e-01               1.000000   \n",
       "GAPD                         2.857815     7.730613e-07               1.000000   \n",
       "PGK                          3.165480     3.076658e-01               1.000000   \n",
       "TPI                          1.428909     1.511438e-06               1.000000   \n",
       "MDH                          0.000000     0.000000e+00               0.000000   \n",
       "PEP_Carboxylase              0.000000     0.000000e+00               0.000000   \n",
       "PPCK                         0.000000     0.000000e+00               0.000000   \n",
       "FBA                          1.428909     1.511434e-06               1.000000   \n",
       "FBP                          0.000000     0.000000e+00               0.000000   \n",
       "TKT2                         0.000000     0.000000e+00               0.000000   \n",
       "RPE                          0.000000     0.000000e+00               0.000000   \n",
       "Xylulokinase                 0.000000     0.000000e+00               0.000000   \n",
       "PYK_org                      0.000000     0.000000e+00               0.000000   \n",
       "PYK                          2.857850     3.583541e-05               1.000000   \n",
       "RPI                          0.000000     0.000000e+00               0.000000   \n",
       "TKT1                         0.000000     0.000000e+00               0.000000   \n",
       "TALA                         0.000000     0.000000e+00               0.000000   \n",
       "PGM                          2.995291     1.374770e-01               1.000000   \n",
       "ENO                          2.857887     7.274111e-05               1.000000   \n",
       "GND                          0.000000     0.000000e+00               0.000000   \n",
       "PGL                          0.000000     0.000000e+00               0.000000   \n",
       "HEX1                         1.428907     1.389075e-11               0.000004   \n",
       "PGI                          1.943454     5.145464e-01               1.000000   \n",
       "G6PDH2r                      0.000000     0.000000e+00               0.000000   \n",
       "PFK                          1.428907     1.389073e-11               0.000004   \n",
       "PYRt2m                       2.857822     8.046790e-06               1.000000   \n",
       "PDHm                         2.857853     3.886308e-05               1.000000   \n",
       "ICL                          0.000000     0.000000e+00               0.000000   \n",
       "MAS                          0.000000     0.000000e+00               0.000000   \n",
       "PYRDC                        0.000000     0.000000e+00               0.000000   \n",
       "ALDD2y                       0.000000     0.000000e+00               0.000000   \n",
       "ALCD2X_copy1                 0.000000     0.000000e+00               0.000000   \n",
       "LactateDehydrogenase         0.000000     0.000000e+00               0.000000   \n",
       "\n",
       "                      Adjusted L_fwd  Fwd Rate Constants Counts  \\\n",
       "Rxn_title                                                         \n",
       "ME1m                        0.000000               0.000000e+00   \n",
       "ME2m                        0.000000               0.000000e+00   \n",
       "CSm                         3.167760               3.465382e-06   \n",
       "ACONTm                      3.172948               1.736230e-07   \n",
       "ICDHxm                      2.943128               3.850469e-12   \n",
       "AKGDm                       2.943136               1.955165e-13   \n",
       "SUCOASm                     3.172974               1.170119e-21   \n",
       "SUCD1m                      3.172974               6.722371e-14   \n",
       "FUMm                        3.172975               1.284522e-07   \n",
       "MDHm                        3.168494               6.024654e-14   \n",
       "GAPD                        2.857815               2.081961e-09   \n",
       "PGK                         3.165480               2.130296e-09   \n",
       "TPI                         1.428909               9.096450e-04   \n",
       "MDH                         0.000000               0.000000e+00   \n",
       "PEP_Carboxylase             0.000000               0.000000e+00   \n",
       "PPCK                        0.000000               0.000000e+00   \n",
       "FBA                         1.428909               8.111913e-08   \n",
       "FBP                         0.000000               0.000000e+00   \n",
       "TKT2                        0.000000               0.000000e+00   \n",
       "RPE                         0.000000               0.000000e+00   \n",
       "Xylulokinase                0.000000               0.000000e+00   \n",
       "PYK_org                     0.000000               0.000000e+00   \n",
       "PYK                         2.857850               3.680916e-04   \n",
       "RPI                         0.000000               0.000000e+00   \n",
       "TKT1                        0.000000               0.000000e+00   \n",
       "TALA                        0.000000               0.000000e+00   \n",
       "PGM                         2.995291               1.193232e-03   \n",
       "ENO                         2.857887               7.919202e-02   \n",
       "GND                         0.000000               0.000000e+00   \n",
       "PGL                         0.000000               0.000000e+00   \n",
       "HEX1                        1.428907               9.209961e-10   \n",
       "PGI                         1.943454               9.944815e-08   \n",
       "G6PDH2r                     0.000000               0.000000e+00   \n",
       "PFK                         1.428907               1.458983e-09   \n",
       "PYRt2m                      2.857822               2.195823e-01   \n",
       "PDHm                        2.857853               5.970227e-10   \n",
       "ICL                         0.000000               0.000000e+00   \n",
       "MAS                         0.000000               0.000000e+00   \n",
       "PYRDC                       0.000000               0.000000e+00   \n",
       "ALDD2y                      0.000000               0.000000e+00   \n",
       "ALCD2X_copy1                0.000000               0.000000e+00   \n",
       "LactateDehydrogenase        0.000000               0.000000e+00   \n",
       "\n",
       "                      Fwd Rate Constants Concs  Rev Rate Constants Counts  \\\n",
       "Rxn_title                                                                   \n",
       "ME1m                              0.000000e+00               0.000000e+00   \n",
       "ME2m                              0.000000e+00               0.000000e+00   \n",
       "CSm                               3.465382e-06               6.506103e-14   \n",
       "ACONTm                            1.736230e-07               2.537439e-06   \n",
       "ICDHxm                            3.850469e-12               5.280809e-12   \n",
       "AKGDm                             1.955165e-13               5.564560e-19   \n",
       "SUCOASm                           1.170119e-21               2.617611e-21   \n",
       "SUCD1m                            6.722371e-14               6.722371e-14   \n",
       "FUMm                              1.284522e-07               2.992414e-08   \n",
       "MDHm                              6.024654e-14               8.161378e-09   \n",
       "GAPD                              2.081961e-09               5.265243e-09   \n",
       "PGK                               2.130296e-09               7.987666e-11   \n",
       "TPI                               9.096450e-04               1.999496e-02   \n",
       "MDH                               0.000000e+00               0.000000e+00   \n",
       "PEP_Carboxylase                   0.000000e+00               0.000000e+00   \n",
       "PPCK                              0.000000e+00               0.000000e+00   \n",
       "FBA                               8.111913e-08               6.169572e-04   \n",
       "FBP                               0.000000e+00               0.000000e+00   \n",
       "TKT2                              0.000000e+00               0.000000e+00   \n",
       "RPE                               0.000000e+00               0.000000e+00   \n",
       "Xylulokinase                      0.000000e+00               0.000000e+00   \n",
       "PYK_org                           0.000000e+00               0.000000e+00   \n",
       "PYK                               3.680916e-04               2.958144e-09   \n",
       "RPI                               0.000000e+00               0.000000e+00   \n",
       "TKT1                              0.000000e+00               0.000000e+00   \n",
       "TALA                              0.000000e+00               0.000000e+00   \n",
       "PGM                               1.193232e-03               1.288370e-02   \n",
       "ENO                               7.919202e-02               1.998839e-02   \n",
       "GND                               0.000000e+00               0.000000e+00   \n",
       "PGL                               0.000000e+00               0.000000e+00   \n",
       "HEX1                              9.209961e-10               1.001844e-13   \n",
       "PGI                               9.944815e-08               3.983045e-08   \n",
       "G6PDH2r                           0.000000e+00               0.000000e+00   \n",
       "PFK                               1.458983e-09               1.683366e-13   \n",
       "PYRt2m                            2.195823e-01               1.999385e-02   \n",
       "PDHm                              5.970227e-10               2.666314e-14   \n",
       "ICL                               0.000000e+00               0.000000e+00   \n",
       "MAS                               0.000000e+00               0.000000e+00   \n",
       "PYRDC                             0.000000e+00               0.000000e+00   \n",
       "ALDD2y                            0.000000e+00               0.000000e+00   \n",
       "ALCD2X_copy1                      0.000000e+00               0.000000e+00   \n",
       "LactateDehydrogenase              0.000000e+00               0.000000e+00   \n",
       "\n",
       "                      Rev Rate Constants Concs   Computed Ke  Fwd Rate  \\\n",
       "Rxn_title                                                                \n",
       "ME1m                              0.000000e+00           NaN  0.000000   \n",
       "ME2m                              0.000000e+00           NaN  0.000000   \n",
       "CSm                               6.506103e-29  5.326355e+07  0.083503   \n",
       "ACONTm                            2.537439e-06  6.842451e-02  0.083437   \n",
       "ICDHxm                            5.280809e+03  7.291438e-01  0.062473   \n",
       "AKGDm                             5.564560e-19  3.513601e+05  0.086549   \n",
       "SUCOASm                           2.617611e-21  4.470177e-01  0.083440   \n",
       "SUCD1m                            6.722371e-14  1.000000e+00  0.083440   \n",
       "FUMm                              2.992414e-23  4.292596e+00  0.083440   \n",
       "MDHm                              8.161378e-09  7.381907e-06  0.082898   \n",
       "GAPD                              5.265243e-24  3.954160e-01  0.087495   \n",
       "PGK                               7.987666e-11  2.666982e+01  0.082856   \n",
       "TPI                               1.999496e-02  4.549371e-02  0.028571   \n",
       "MDH                               0.000000e+00           NaN  0.000000   \n",
       "PEP_Carboxylase                   0.000000e+00           NaN  0.000000   \n",
       "PPCK                              0.000000e+00           NaN  0.000000   \n",
       "FBA                               6.169572e+11  1.314826e-04  0.028571   \n",
       "FBP                               0.000000e+00           NaN  0.000000   \n",
       "TKT2                              0.000000e+00           NaN  0.000000   \n",
       "RPE                               0.000000e+00           NaN  0.000000   \n",
       "Xylulokinase                      0.000000e+00           NaN  0.000000   \n",
       "PYK_org                           0.000000e+00           NaN  0.000000   \n",
       "PYK                               2.958144e-09  1.244333e+05  0.061594   \n",
       "RPI                               0.000000e+00           NaN  0.000000   \n",
       "TKT1                              0.000000e+00           NaN  0.000000   \n",
       "TALA                              0.000000e+00           NaN  0.000000   \n",
       "PGM                               1.288370e-02  9.261562e-02  0.066441   \n",
       "ENO                               1.998839e+13  3.961900e+00  0.057153   \n",
       "GND                               0.000000e+00           NaN  0.000000   \n",
       "PGL                               0.000000e+00           NaN  0.000000   \n",
       "HEX1                              1.001844e-13  9.193007e+03  0.028571   \n",
       "PGI                               3.983045e-08  2.496787e+00  0.058854   \n",
       "G6PDH2r                           0.000000e+00           NaN  0.000000   \n",
       "PFK                               1.683366e-13  8.667054e+03  0.028571   \n",
       "PYRt2m                            1.999385e-02  1.098249e+01  0.057145   \n",
       "PDHm                              2.666314e-14  2.239131e+04  0.087775   \n",
       "ICL                               0.000000e+00           NaN  0.000000   \n",
       "MAS                               0.000000e+00           NaN  0.000000   \n",
       "PYRDC                             0.000000e+00           NaN  0.000000   \n",
       "ALDD2y                            0.000000e+00           NaN  0.000000   \n",
       "ALCD2X_copy1                      0.000000e+00           NaN  0.000000   \n",
       "LactateDehydrogenase              0.000000e+00           NaN  0.000000   \n",
       "\n",
       "                          Rev Rate  Rxn Flux  \n",
       "Rxn_title                                     \n",
       "ME1m                  0.000000e+00  0.000000  \n",
       "ME2m                  0.000000e+00  0.000000  \n",
       "CSm                   2.636029e-02  0.057143  \n",
       "ACONTm                2.629375e-02  0.057143  \n",
       "ICDHxm                5.330353e-03  0.057143  \n",
       "AKGDm                 2.940598e-02  0.057143  \n",
       "SUCOASm               2.629707e-02  0.057143  \n",
       "SUCD1m                2.629701e-02  0.057143  \n",
       "FUMm                  2.629709e-02  0.057143  \n",
       "MDHm                  2.575463e-02  0.057143  \n",
       "GAPD                  3.035239e-02  0.057143  \n",
       "PGK                   2.571310e-02  0.057143  \n",
       "TPI                   4.455826e-08  0.028571  \n",
       "MDH                   0.000000e+00  0.000000  \n",
       "PEP_Carboxylase       0.000000e+00  0.000000  \n",
       "PPCK                  0.000000e+00  0.000000  \n",
       "FBA                   4.318337e-08  0.028571  \n",
       "FBP                   0.000000e+00  0.000000  \n",
       "TKT2                  0.000000e+00  0.000000  \n",
       "RPE                   0.000000e+00  0.000000  \n",
       "Xylulokinase          0.000000e+00  0.000000  \n",
       "PYK_org               0.000000e+00  0.000000  \n",
       "PYK                   4.450659e-03  0.057143  \n",
       "RPI                   0.000000e+00  0.000000  \n",
       "TKT1                  0.000000e+00  0.000000  \n",
       "TALA                  0.000000e+00  0.000000  \n",
       "PGM                   9.298175e-03  0.057143  \n",
       "ENO                   9.917880e-06  0.057143  \n",
       "GND                   0.000000e+00  0.000000  \n",
       "PGL                   0.000000e+00  0.000000  \n",
       "HEX1                  8.908135e-08  0.028571  \n",
       "PGI                   3.028335e-02  0.028571  \n",
       "G6PDH2r               0.000000e+00  0.000000  \n",
       "PFK                   8.908126e-08  0.028571  \n",
       "PYRt2m                2.226768e-06  0.057143  \n",
       "PDHm                  3.063237e-02  0.057143  \n",
       "ICL                   0.000000e+00  0.000000  \n",
       "MAS                   0.000000e+00  0.000000  \n",
       "PYRDC                 0.000000e+00  0.000000  \n",
       "ALDD2y                0.000000e+00  0.000000  \n",
       "ALCD2X_copy1          0.000000e+00  0.000000  \n",
       "LactateDehydrogenase  0.000000e+00  0.000000  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Use concs or counts below. \n",
    "denominator_concs = reactant_concs_rxns.multiply(1-result['Computed L_rev'])\n",
    "denominator_concs = denominator_concs.multiply(result['steady state activity']) \n",
    "denominator_counts = reactant_counts_rxns.multiply(1-result['Computed L_rev'])\n",
    "denominator_counts = denominator_counts.multiply(result['steady state activity']) #\n",
    "result['Fwd Rate Constants Counts'] = ode_likelihoods_steadystate['Rxn Probabilities'].divide(denominator_counts)\n",
    "result['Fwd Rate Constants Concs'] = ode_likelihoods_steadystate['Rxn Probabilities'].divide(denominator_counts)\n",
    "idx = result['Fwd Rate Constants Counts'].isnull()\n",
    "result['Fwd Rate Constants Counts'].loc[idx] = 0\n",
    "result['Fwd Rate Constants Concs'].loc[idx] = 0\n",
    "result['Rev Rate Constants Counts'] = result['Fwd Rate Constants Counts'].divide(K_eq['Ke'])\n",
    "# The equilibrium constant in Boltzmann is formulated in terms of counts. If concentrations are used instead\n",
    "# then the equilibrium constant needs to be multiplied by the Volume of the compartment raised to the \n",
    "# negative sum of the stoichiometric coefficients.\n",
    "result['Rev Rate Constants Concs'] = result['Fwd Rate Constants Concs'].divide(K_eq['Ke']*np.power(VolCell,volume_coeff))\n",
    "fwd_rates = (result['Fwd Rate Constants Counts'].multiply(reactant_counts_rxns)).multiply(result['steady state activity'])\n",
    "rev_rates = (result['Rev Rate Constants Counts'].multiply(product_counts_rxns)).multiply(result['steady state activity'])\n",
    "\n",
    "#fwd_rates = (result['Fwd Rate Constants Concs'].multiply(reactant_concs_rxns)).multiply(result['steady state activity'])\n",
    "#rev_rates = (result['Rev Rate Constants Concs'].multiply(product_concs_rxns)).multiply(result['steady state activity'])\n",
    "\n",
    "result['Computed Ke'] = result['Fwd Rate Constants Counts']/result['Rev Rate Constants Counts']\n",
    "result['Fwd Rate'] = fwd_rates\n",
    "result['Rev Rate'] = rev_rates\n",
    "result['Rxn Flux'] = fwd_rates-rev_rates\n",
    "display(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cutoff for time derivative of concentrations\n",
    "The simulation program needs to know when a derivative should be considered to be effectively zero. This is determined by the accuracy of the estimates of the rate constants above. We can calculate this accuracy by looking at the difference between the net fluxes of all reactions. This gives a set of m reactions by m reactions differences. Then for each reaction, find the other reaction that has the largest difference. This gives a set of m reactions by 1 differences. Then for each of the reactions, find the largest global difference. This is then the global cutoff for when the derivatives should be considered to be effectively zero.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Rxn_title\n",
       "ME1m                    0.000000e+00\n",
       "ME2m                    0.000000e+00\n",
       "CSm                     2.775558e-17\n",
       "ACONTm                  0.000000e+00\n",
       "ICDHxm                  2.081668e-17\n",
       "AKGDm                   1.387779e-17\n",
       "SUCOASm                 1.387779e-17\n",
       "SUCD1m                  2.081668e-17\n",
       "FUMm                    2.081668e-17\n",
       "MDHm                    1.387779e-17\n",
       "GAPD                    0.000000e+00\n",
       "PGK                     6.938894e-18\n",
       "TPI                     0.000000e+00\n",
       "MDH                     0.000000e+00\n",
       "PEP_Carboxylase         0.000000e+00\n",
       "PPCK                    0.000000e+00\n",
       "FBA                     0.000000e+00\n",
       "FBP                     0.000000e+00\n",
       "TKT2                    0.000000e+00\n",
       "RPE                     0.000000e+00\n",
       "Xylulokinase            0.000000e+00\n",
       "PYK_org                 0.000000e+00\n",
       "PYK                     1.387779e-17\n",
       "RPI                     0.000000e+00\n",
       "TKT1                    0.000000e+00\n",
       "TALA                    0.000000e+00\n",
       "PGM                     2.081668e-17\n",
       "ENO                     6.938894e-18\n",
       "GND                     0.000000e+00\n",
       "PGL                     0.000000e+00\n",
       "HEX1                    0.000000e+00\n",
       "PGI                     6.938894e-18\n",
       "G6PDH2r                 0.000000e+00\n",
       "PFK                     3.469447e-18\n",
       "PYRt2m                  6.938894e-18\n",
       "PDHm                    2.081668e-17\n",
       "ICL                     0.000000e+00\n",
       "MAS                     0.000000e+00\n",
       "PYRDC                   0.000000e+00\n",
       "ALDD2y                  0.000000e+00\n",
       "ALCD2X_copy1            0.000000e+00\n",
       "LactateDehydrogenase    0.000000e+00\n",
       "dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "'Max = '"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "2.7755575615628914e-17"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff = pd.DataFrame(columns = result.index)\n",
    "for col in diff.columns:\n",
    "   diff[col] = result['Rxn Flux']\n",
    "#Compare all reaction fluxes against all reaction fluxes\n",
    "diff = diff - diff.T\n",
    "# eliminate teh reactions that have large differences because they are on different sides of a branch\n",
    "diff[diff.abs() > 0.001] =0 \n",
    "display(diff.max())\n",
    "display('Max = ',diff.max().max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "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>ME1m</th>\n",
       "      <th>ME2m</th>\n",
       "      <th>CSm</th>\n",
       "      <th>ACONTm</th>\n",
       "      <th>ICDHxm</th>\n",
       "      <th>AKGDm</th>\n",
       "      <th>SUCOASm</th>\n",
       "      <th>SUCD1m</th>\n",
       "      <th>FUMm</th>\n",
       "      <th>MDHm</th>\n",
       "      <th>GAPD</th>\n",
       "      <th>PGK</th>\n",
       "      <th>TPI</th>\n",
       "      <th>MDH</th>\n",
       "      <th>PEP_Carboxylase</th>\n",
       "      <th>PPCK</th>\n",
       "      <th>FBA</th>\n",
       "      <th>FBP</th>\n",
       "      <th>TKT2</th>\n",
       "      <th>RPE</th>\n",
       "      <th>Xylulokinase</th>\n",
       "      <th>PYK_org</th>\n",
       "      <th>PYK</th>\n",
       "      <th>RPI</th>\n",
       "      <th>TKT1</th>\n",
       "      <th>TALA</th>\n",
       "      <th>PGM</th>\n",
       "      <th>ENO</th>\n",
       "      <th>GND</th>\n",
       "      <th>PGL</th>\n",
       "      <th>HEX1</th>\n",
       "      <th>PGI</th>\n",
       "      <th>G6PDH2r</th>\n",
       "      <th>PFK</th>\n",
       "      <th>PYRt2m</th>\n",
       "      <th>PDHm</th>\n",
       "      <th>ICL</th>\n",
       "      <th>MAS</th>\n",
       "      <th>PYRDC</th>\n",
       "      <th>ALDD2y</th>\n",
       "      <th>ALCD2X_copy1</th>\n",
       "      <th>LactateDehydrogenase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LEFT</th>\n",
       "      <td>(S)-MALATE + NAD+</td>\n",
       "      <td>(S)-MALATE + NADP+</td>\n",
       "      <td>OXALOACETATE + ACETYL-COA + H2O</td>\n",
       "      <td>CITRATE</td>\n",
       "      <td>ISOCITRATE + NAD+</td>\n",
       "      <td>2-OXOGLUTARATE + COA + NAD+</td>\n",
       "      <td>SUCCINYL-COA + ADP + Orthophosphate</td>\n",
       "      <td>SUCCINATE + redox1</td>\n",
       "      <td>FUMARATE + H2O</td>\n",
       "      <td>(S)-MALATE + NAD+</td>\n",
       "      <td>D-GLYCERALDEHYDE-3-PHOSPHATE + ORTHOPHOSPHATE ...</td>\n",
       "      <td>3-Phospho-D-glyceroyl_phosphate + ADP</td>\n",
       "      <td>Glycerone_phosphate</td>\n",
       "      <td>(S)-MALATE + NAD+</td>\n",
       "      <td>oxaloacetate + orthophosphate</td>\n",
       "      <td>oxaloacetate + ATP</td>\n",
       "      <td>D-FRUCTOSE_1,6-BISPHOSPHATE</td>\n",
       "      <td>D-FRUCTOSE_6-PHOSPHATE + Orthophosphate</td>\n",
       "      <td>D-FRUCTOSE_6-PHOSPHATE + D-GLYCERALDEHYDE-3-PH...</td>\n",
       "      <td>D-XYLULOSE-5-PHOSPHATE</td>\n",
       "      <td>D-XYLULOSE + ATP</td>\n",
       "      <td>ADP + PHOSPHOENOLPYRUVATE</td>\n",
       "      <td>ADP + PHOSPHOENOLPYRUVATE</td>\n",
       "      <td>D-RIBOSE-5-PHOSPHATE</td>\n",
       "      <td>SEDOHEPTULOSE_7-PHOSPHATE + D-GLYCERALDEHYDE-3...</td>\n",
       "      <td>D-GLYCERALDEHYDE-3-PHOSPHATE + SEDOHEPTULOSE_7...</td>\n",
       "      <td>3-PHOSPHO-D-GLYCERATE</td>\n",
       "      <td>2-PHOSPHO-D-GLYCERATE</td>\n",
       "      <td>NADPH + D-RIBULOSE-5-PHOSPHATE + CO2</td>\n",
       "      <td>6-PHOSPHO-D-GLUCONATE</td>\n",
       "      <td>BETA-D-GLUCOSE + ATP</td>\n",
       "      <td>BETA-D-GLUCOSE-6-PHOSPHATE</td>\n",
       "      <td>BETA-D-GLUCOSE-6-PHOSPHATE + NADP+</td>\n",
       "      <td>D-FRUCTOSE_6-PHOSPHATE + ATP</td>\n",
       "      <td>PYRUVATE</td>\n",
       "      <td>COA + NAD+ + PYRUVATE</td>\n",
       "      <td>isocitrate</td>\n",
       "      <td>acetyl-CoA + glyoxylate + H2O</td>\n",
       "      <td>pyruvate</td>\n",
       "      <td>acetaldehyde + NADP+ + H2O</td>\n",
       "      <td>acetaldehyde + NADH</td>\n",
       "      <td>pyruvate + NADH</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RIGHT</th>\n",
       "      <td>pyruvate + NADH + CO2</td>\n",
       "      <td>PYRUVATE + NADPH + CO2</td>\n",
       "      <td>CITRATE + COA</td>\n",
       "      <td>ISOCITRATE</td>\n",
       "      <td>2-OXOGLUTARATE + NADH + CO2</td>\n",
       "      <td>SUCCINYL-COA + CO2 + NADH</td>\n",
       "      <td>SUCCINATE + ATP + COA</td>\n",
       "      <td>FUMARATE + redox2</td>\n",
       "      <td>(S)-MALATE</td>\n",
       "      <td>OXALOACETATE + NADH</td>\n",
       "      <td>3-Phospho-D-glyceroyl_phosphate + NADH</td>\n",
       "      <td>3-PHOSPHO-D-GLYCERATE + ATP</td>\n",
       "      <td>D-GLYCERALDEHYDE-3-PHOSPHATE</td>\n",
       "      <td>OXALOACETATE + NADH</td>\n",
       "      <td>phosphoenolpyruvate + CO2 + H2O</td>\n",
       "      <td>phosphoenolpyruvate + ADP + CO2</td>\n",
       "      <td>Glycerone_phosphate + D-GLYCERALDEHYDE-3-PHOSP...</td>\n",
       "      <td>H2O + D-FRUCTOSE_1,6-BISPHOSPHATE</td>\n",
       "      <td>D-ERYTHROSE-4-PHOSPHATE + D-XYLULOSE-5-PHOSPHATE</td>\n",
       "      <td>D-RIBULOSE-5-PHOSPHATE</td>\n",
       "      <td>D-XYLULOSE-5-PHOSPHATE + ADP</td>\n",
       "      <td>PYRUVATE + ATP</td>\n",
       "      <td>PYRUVATE + ATP</td>\n",
       "      <td>D-RIBULOSE-5-PHOSPHATE</td>\n",
       "      <td>D-RIBOSE-5-PHOSPHATE + D-XYLULOSE-5-PHOSPHATE</td>\n",
       "      <td>D-FRUCTOSE_6-PHOSPHATE + D-ERYTHROSE-4-PHOSPHATE</td>\n",
       "      <td>2-PHOSPHO-D-GLYCERATE</td>\n",
       "      <td>PHOSPHOENOLPYRUVATE + H2O</td>\n",
       "      <td>NADP+ + 6-PHOSPHO-D-GLUCONATE</td>\n",
       "      <td>D-Glucono-1,5-lactone_6-phosphate + H2O</td>\n",
       "      <td>BETA-D-GLUCOSE-6-PHOSPHATE + ADP</td>\n",
       "      <td>D-FRUCTOSE_6-PHOSPHATE</td>\n",
       "      <td>D-Glucono-1,5-lactone_6-phosphate + NADPH</td>\n",
       "      <td>ADP + D-FRUCTOSE_1,6-BISPHOSPHATE</td>\n",
       "      <td>PYRUVATE</td>\n",
       "      <td>ACETYL-COA + CO2 + NADH</td>\n",
       "      <td>glyoxylate + succinate</td>\n",
       "      <td>(S)-MALATE + COA</td>\n",
       "      <td>acetaldehyde + CO2</td>\n",
       "      <td>acetate + NADPH</td>\n",
       "      <td>ethanol + NAD+</td>\n",
       "      <td>lactate + NAD+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LEFT_COMPARTMENT</th>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>GLYOXYSOME</td>\n",
       "      <td>GLYOXYSOME</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RIGHT_COMPARTMENT</th>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>MITOCHONDRIA</td>\n",
       "      <td>GLYOXYSOME</td>\n",
       "      <td>GLYOXYSOME</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "      <td>CYTOSOL</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENZYME_LEVEL</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PATHWAY</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>GLUCONEOGENESIS, GLYCOLYSIS</td>\n",
       "      <td>GLUCONEOGENESIS, GLYCOLYSIS, CALVIN CYCLE</td>\n",
       "      <td>CALVIN CYCLE, GLYCOLYSIS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>GLUCONEOGENSESIS</td>\n",
       "      <td>GLUCONEOGENSESIS</td>\n",
       "      <td>GLUCONEOGENSESIS, GLYCOLYSIS, CALVIN CYCLE</td>\n",
       "      <td>GLUCONEOGENESIS, CALVIN CYCLE</td>\n",
       "      <td>CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...</td>\n",
       "      <td>CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...</td>\n",
       "      <td>CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...</td>\n",
       "      <td>GLYCOLYSIS, PYRUVATE METABOLISM, RUBISCO SHUNT</td>\n",
       "      <td>GLYCOLYSIS, PYRUVATE METABOLISM, RUBISCO SHUNT</td>\n",
       "      <td>CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...</td>\n",
       "      <td>CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...</td>\n",
       "      <td>RUBISCO SHUNT, PENTOSE PHOSPHATE PATHWAY</td>\n",
       "      <td>GLUCONEOGENESIS, RUBISCO SHUNT, GLYCOLYSIS I</td>\n",
       "      <td>GLUCONEOGENESIS, RUBISCO SHUNT, GLYCOLYSIS I</td>\n",
       "      <td>PENTOSE PHOSPHATE PATHWAY</td>\n",
       "      <td>PENTOSE PHOSPHATE PATHWAY</td>\n",
       "      <td>GLUCONEOGENESIS, (GLYCOLYSIS-YEAST), GLYCOLYSIS</td>\n",
       "      <td>GLUCONEOGENESIS, (GLYCOLYSIS-YEAST), GLYCOLYSIS</td>\n",
       "      <td>GLUCONEOGENESIS</td>\n",
       "      <td>GLYCOLYSIS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ACETYL COA BIOSYNTHESIS</td>\n",
       "      <td>glyoxylate shunt</td>\n",
       "      <td>glyoxylate shunt</td>\n",
       "      <td>fermentation</td>\n",
       "      <td>fermentation</td>\n",
       "      <td>fermentation</td>\n",
       "      <td>fermentation</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NREGULATION</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ATP 2.80e-03 10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ATP 2.80e-03 10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ACETYL-COA 1.00e-03 20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>COMMNENT</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>From Equilibrator</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DGZERO</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-5.94</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DGZERO-UNITS</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>KJ/MOL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                    ME1m                    ME2m  \\\n",
       "LEFT                   (S)-MALATE + NAD+      (S)-MALATE + NADP+   \n",
       "RIGHT              pyruvate + NADH + CO2  PYRUVATE + NADPH + CO2   \n",
       "LEFT_COMPARTMENT            MITOCHONDRIA            MITOCHONDRIA   \n",
       "RIGHT_COMPARTMENT           MITOCHONDRIA            MITOCHONDRIA   \n",
       "ENZYME_LEVEL                         0.0                     0.0   \n",
       "PATHWAY                              NaN                     NaN   \n",
       "NREGULATION                          NaN                     NaN   \n",
       "COMMNENT                             NaN                     NaN   \n",
       "DGZERO                               NaN                     NaN   \n",
       "DGZERO-UNITS                         NaN                     NaN   \n",
       "\n",
       "                                               CSm        ACONTm  \\\n",
       "LEFT               OXALOACETATE + ACETYL-COA + H2O       CITRATE   \n",
       "RIGHT                                CITRATE + COA    ISOCITRATE   \n",
       "LEFT_COMPARTMENT                      MITOCHONDRIA  MITOCHONDRIA   \n",
       "RIGHT_COMPARTMENT                     MITOCHONDRIA  MITOCHONDRIA   \n",
       "ENZYME_LEVEL                                   NaN           NaN   \n",
       "PATHWAY                                        NaN           NaN   \n",
       "NREGULATION                                    NaN           NaN   \n",
       "COMMNENT                                       NaN           NaN   \n",
       "DGZERO                                         NaN           NaN   \n",
       "DGZERO-UNITS                                   NaN           NaN   \n",
       "\n",
       "                                        ICDHxm                        AKGDm  \\\n",
       "LEFT                         ISOCITRATE + NAD+  2-OXOGLUTARATE + COA + NAD+   \n",
       "RIGHT              2-OXOGLUTARATE + NADH + CO2    SUCCINYL-COA + CO2 + NADH   \n",
       "LEFT_COMPARTMENT                  MITOCHONDRIA                 MITOCHONDRIA   \n",
       "RIGHT_COMPARTMENT                 MITOCHONDRIA                 MITOCHONDRIA   \n",
       "ENZYME_LEVEL                               NaN                          NaN   \n",
       "PATHWAY                                    NaN                          NaN   \n",
       "NREGULATION                                NaN                          NaN   \n",
       "COMMNENT                                   NaN                          NaN   \n",
       "DGZERO                                     NaN                          NaN   \n",
       "DGZERO-UNITS                               NaN                          NaN   \n",
       "\n",
       "                                               SUCOASm              SUCD1m  \\\n",
       "LEFT               SUCCINYL-COA + ADP + Orthophosphate  SUCCINATE + redox1   \n",
       "RIGHT                            SUCCINATE + ATP + COA   FUMARATE + redox2   \n",
       "LEFT_COMPARTMENT                          MITOCHONDRIA        MITOCHONDRIA   \n",
       "RIGHT_COMPARTMENT                         MITOCHONDRIA        MITOCHONDRIA   \n",
       "ENZYME_LEVEL                                       NaN                 NaN   \n",
       "PATHWAY                                            NaN                 NaN   \n",
       "NREGULATION                                        NaN                 NaN   \n",
       "COMMNENT                                           NaN                 NaN   \n",
       "DGZERO                                             NaN                 NaN   \n",
       "DGZERO-UNITS                                       NaN                 NaN   \n",
       "\n",
       "                             FUMm                 MDHm  \\\n",
       "LEFT               FUMARATE + H2O    (S)-MALATE + NAD+   \n",
       "RIGHT                  (S)-MALATE  OXALOACETATE + NADH   \n",
       "LEFT_COMPARTMENT     MITOCHONDRIA         MITOCHONDRIA   \n",
       "RIGHT_COMPARTMENT    MITOCHONDRIA         MITOCHONDRIA   \n",
       "ENZYME_LEVEL                  NaN                  NaN   \n",
       "PATHWAY                       NaN                  NaN   \n",
       "NREGULATION                   NaN                  NaN   \n",
       "COMMNENT                      NaN                  NaN   \n",
       "DGZERO                        NaN                  NaN   \n",
       "DGZERO-UNITS                  NaN                  NaN   \n",
       "\n",
       "                                                                GAPD  \\\n",
       "LEFT               D-GLYCERALDEHYDE-3-PHOSPHATE + ORTHOPHOSPHATE ...   \n",
       "RIGHT                         3-Phospho-D-glyceroyl_phosphate + NADH   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     1.0   \n",
       "PATHWAY                                  GLUCONEOGENESIS, GLYCOLYSIS   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                         PGK  \\\n",
       "LEFT                   3-Phospho-D-glyceroyl_phosphate + ADP   \n",
       "RIGHT                            3-PHOSPHO-D-GLYCERATE + ATP   \n",
       "LEFT_COMPARTMENT                                     CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                    CYTOSOL   \n",
       "ENZYME_LEVEL                                             1.0   \n",
       "PATHWAY            GLUCONEOGENESIS, GLYCOLYSIS, CALVIN CYCLE   \n",
       "NREGULATION                                              NaN   \n",
       "COMMNENT                                                 NaN   \n",
       "DGZERO                                                   NaN   \n",
       "DGZERO-UNITS                                             NaN   \n",
       "\n",
       "                                            TPI                  MDH  \\\n",
       "LEFT                        Glycerone_phosphate    (S)-MALATE + NAD+   \n",
       "RIGHT              D-GLYCERALDEHYDE-3-PHOSPHATE  OXALOACETATE + NADH   \n",
       "LEFT_COMPARTMENT                        CYTOSOL              CYTOSOL   \n",
       "RIGHT_COMPARTMENT                       CYTOSOL              CYTOSOL   \n",
       "ENZYME_LEVEL                                1.0                  0.0   \n",
       "PATHWAY                CALVIN CYCLE, GLYCOLYSIS                  NaN   \n",
       "NREGULATION                                 NaN                  NaN   \n",
       "COMMNENT                                    NaN                  NaN   \n",
       "DGZERO                                      NaN                  NaN   \n",
       "DGZERO-UNITS                                NaN                  NaN   \n",
       "\n",
       "                                   PEP_Carboxylase  \\\n",
       "LEFT                 oxaloacetate + orthophosphate   \n",
       "RIGHT              phosphoenolpyruvate + CO2 + H2O   \n",
       "LEFT_COMPARTMENT                           CYTOSOL   \n",
       "RIGHT_COMPARTMENT                          CYTOSOL   \n",
       "ENZYME_LEVEL                                   0.0   \n",
       "PATHWAY                           GLUCONEOGENSESIS   \n",
       "NREGULATION                                    NaN   \n",
       "COMMNENT                                       NaN   \n",
       "DGZERO                                         NaN   \n",
       "DGZERO-UNITS                                   NaN   \n",
       "\n",
       "                                              PPCK  \\\n",
       "LEFT                            oxaloacetate + ATP   \n",
       "RIGHT              phosphoenolpyruvate + ADP + CO2   \n",
       "LEFT_COMPARTMENT                           CYTOSOL   \n",
       "RIGHT_COMPARTMENT                          CYTOSOL   \n",
       "ENZYME_LEVEL                                   0.0   \n",
       "PATHWAY                           GLUCONEOGENSESIS   \n",
       "NREGULATION                                    NaN   \n",
       "COMMNENT                                       NaN   \n",
       "DGZERO                                         NaN   \n",
       "DGZERO-UNITS                                   NaN   \n",
       "\n",
       "                                                                 FBA  \\\n",
       "LEFT                                     D-FRUCTOSE_1,6-BISPHOSPHATE   \n",
       "RIGHT              Glycerone_phosphate + D-GLYCERALDEHYDE-3-PHOSP...   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     1.0   \n",
       "PATHWAY                   GLUCONEOGENSESIS, GLYCOLYSIS, CALVIN CYCLE   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                       FBP  \\\n",
       "LEFT               D-FRUCTOSE_6-PHOSPHATE + Orthophosphate   \n",
       "RIGHT                    H2O + D-FRUCTOSE_1,6-BISPHOSPHATE   \n",
       "LEFT_COMPARTMENT                                   CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                  CYTOSOL   \n",
       "ENZYME_LEVEL                                           0.0   \n",
       "PATHWAY                      GLUCONEOGENESIS, CALVIN CYCLE   \n",
       "NREGULATION                                            NaN   \n",
       "COMMNENT                                               NaN   \n",
       "DGZERO                                                 NaN   \n",
       "DGZERO-UNITS                                           NaN   \n",
       "\n",
       "                                                                TKT2  \\\n",
       "LEFT               D-FRUCTOSE_6-PHOSPHATE + D-GLYCERALDEHYDE-3-PH...   \n",
       "RIGHT               D-ERYTHROSE-4-PHOSPHATE + D-XYLULOSE-5-PHOSPHATE   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     0.0   \n",
       "PATHWAY            CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                                 RPE  \\\n",
       "LEFT                                          D-XYLULOSE-5-PHOSPHATE   \n",
       "RIGHT                                         D-RIBULOSE-5-PHOSPHATE   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     0.0   \n",
       "PATHWAY            CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                        Xylulokinase  \\\n",
       "LEFT                                                D-XYLULOSE + ATP   \n",
       "RIGHT                                   D-XYLULOSE-5-PHOSPHATE + ADP   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     0.0   \n",
       "PATHWAY            CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                          PYK_org  \\\n",
       "LEFT                                    ADP + PHOSPHOENOLPYRUVATE   \n",
       "RIGHT                                              PYRUVATE + ATP   \n",
       "LEFT_COMPARTMENT                                          CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                         CYTOSOL   \n",
       "ENZYME_LEVEL                                                  0.0   \n",
       "PATHWAY            GLYCOLYSIS, PYRUVATE METABOLISM, RUBISCO SHUNT   \n",
       "NREGULATION                                                   NaN   \n",
       "COMMNENT                                                      NaN   \n",
       "DGZERO                                                        NaN   \n",
       "DGZERO-UNITS                                                  NaN   \n",
       "\n",
       "                                                              PYK  \\\n",
       "LEFT                                    ADP + PHOSPHOENOLPYRUVATE   \n",
       "RIGHT                                              PYRUVATE + ATP   \n",
       "LEFT_COMPARTMENT                                          CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                         CYTOSOL   \n",
       "ENZYME_LEVEL                                                  1.0   \n",
       "PATHWAY            GLYCOLYSIS, PYRUVATE METABOLISM, RUBISCO SHUNT   \n",
       "NREGULATION                                                   NaN   \n",
       "COMMNENT                                                      NaN   \n",
       "DGZERO                                                        NaN   \n",
       "DGZERO-UNITS                                                  NaN   \n",
       "\n",
       "                                                                 RPI  \\\n",
       "LEFT                                            D-RIBOSE-5-PHOSPHATE   \n",
       "RIGHT                                         D-RIBULOSE-5-PHOSPHATE   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     0.0   \n",
       "PATHWAY            CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                                TKT1  \\\n",
       "LEFT               SEDOHEPTULOSE_7-PHOSPHATE + D-GLYCERALDEHYDE-3...   \n",
       "RIGHT                  D-RIBOSE-5-PHOSPHATE + D-XYLULOSE-5-PHOSPHATE   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     0.0   \n",
       "PATHWAY            CALVIN CYCLE, PENTOSE PHOSPHATE PATHWAY, RUBIS...   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                                TALA  \\\n",
       "LEFT               D-GLYCERALDEHYDE-3-PHOSPHATE + SEDOHEPTULOSE_7...   \n",
       "RIGHT               D-FRUCTOSE_6-PHOSPHATE + D-ERYTHROSE-4-PHOSPHATE   \n",
       "LEFT_COMPARTMENT                                             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                            CYTOSOL   \n",
       "ENZYME_LEVEL                                                     0.0   \n",
       "PATHWAY                     RUBISCO SHUNT, PENTOSE PHOSPHATE PATHWAY   \n",
       "NREGULATION                                                      NaN   \n",
       "COMMNENT                                                         NaN   \n",
       "DGZERO                                                           NaN   \n",
       "DGZERO-UNITS                                                     NaN   \n",
       "\n",
       "                                                            PGM  \\\n",
       "LEFT                                      3-PHOSPHO-D-GLYCERATE   \n",
       "RIGHT                                     2-PHOSPHO-D-GLYCERATE   \n",
       "LEFT_COMPARTMENT                                        CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                       CYTOSOL   \n",
       "ENZYME_LEVEL                                                1.0   \n",
       "PATHWAY            GLUCONEOGENESIS, RUBISCO SHUNT, GLYCOLYSIS I   \n",
       "NREGULATION                                                 NaN   \n",
       "COMMNENT                                                    NaN   \n",
       "DGZERO                                                      NaN   \n",
       "DGZERO-UNITS                                                NaN   \n",
       "\n",
       "                                                            ENO  \\\n",
       "LEFT                                      2-PHOSPHO-D-GLYCERATE   \n",
       "RIGHT                                 PHOSPHOENOLPYRUVATE + H2O   \n",
       "LEFT_COMPARTMENT                                        CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                       CYTOSOL   \n",
       "ENZYME_LEVEL                                                1.0   \n",
       "PATHWAY            GLUCONEOGENESIS, RUBISCO SHUNT, GLYCOLYSIS I   \n",
       "NREGULATION                                                 NaN   \n",
       "COMMNENT                                                    NaN   \n",
       "DGZERO                                                      NaN   \n",
       "DGZERO-UNITS                                                NaN   \n",
       "\n",
       "                                                    GND  \\\n",
       "LEFT               NADPH + D-RIBULOSE-5-PHOSPHATE + CO2   \n",
       "RIGHT                     NADP+ + 6-PHOSPHO-D-GLUCONATE   \n",
       "LEFT_COMPARTMENT                                CYTOSOL   \n",
       "RIGHT_COMPARTMENT                               CYTOSOL   \n",
       "ENZYME_LEVEL                                        0.0   \n",
       "PATHWAY                       PENTOSE PHOSPHATE PATHWAY   \n",
       "NREGULATION                                         NaN   \n",
       "COMMNENT                                            NaN   \n",
       "DGZERO                                              NaN   \n",
       "DGZERO-UNITS                                        NaN   \n",
       "\n",
       "                                                       PGL  \\\n",
       "LEFT                                 6-PHOSPHO-D-GLUCONATE   \n",
       "RIGHT              D-Glucono-1,5-lactone_6-phosphate + H2O   \n",
       "LEFT_COMPARTMENT                                   CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                  CYTOSOL   \n",
       "ENZYME_LEVEL                                           0.0   \n",
       "PATHWAY                          PENTOSE PHOSPHATE PATHWAY   \n",
       "NREGULATION                                            NaN   \n",
       "COMMNENT                                               NaN   \n",
       "DGZERO                                                 NaN   \n",
       "DGZERO-UNITS                                           NaN   \n",
       "\n",
       "                                                              HEX1  \\\n",
       "LEFT                                          BETA-D-GLUCOSE + ATP   \n",
       "RIGHT                             BETA-D-GLUCOSE-6-PHOSPHATE + ADP   \n",
       "LEFT_COMPARTMENT                                           CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                          CYTOSOL   \n",
       "ENZYME_LEVEL                                                   1.0   \n",
       "PATHWAY            GLUCONEOGENESIS, (GLYCOLYSIS-YEAST), GLYCOLYSIS   \n",
       "NREGULATION                                        ATP 2.80e-03 10   \n",
       "COMMNENT                                                       NaN   \n",
       "DGZERO                                                         NaN   \n",
       "DGZERO-UNITS                                                   NaN   \n",
       "\n",
       "                                                               PGI  \\\n",
       "LEFT                                    BETA-D-GLUCOSE-6-PHOSPHATE   \n",
       "RIGHT                                       D-FRUCTOSE_6-PHOSPHATE   \n",
       "LEFT_COMPARTMENT                                           CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                          CYTOSOL   \n",
       "ENZYME_LEVEL                                                   1.0   \n",
       "PATHWAY            GLUCONEOGENESIS, (GLYCOLYSIS-YEAST), GLYCOLYSIS   \n",
       "NREGULATION                                                    NaN   \n",
       "COMMNENT                                                       NaN   \n",
       "DGZERO                                                         NaN   \n",
       "DGZERO-UNITS                                                   NaN   \n",
       "\n",
       "                                                     G6PDH2r  \\\n",
       "LEFT                      BETA-D-GLUCOSE-6-PHOSPHATE + NADP+   \n",
       "RIGHT              D-Glucono-1,5-lactone_6-phosphate + NADPH   \n",
       "LEFT_COMPARTMENT                                     CYTOSOL   \n",
       "RIGHT_COMPARTMENT                                    CYTOSOL   \n",
       "ENZYME_LEVEL                                             0.0   \n",
       "PATHWAY                                      GLUCONEOGENESIS   \n",
       "NREGULATION                                              NaN   \n",
       "COMMNENT                                                 NaN   \n",
       "DGZERO                                                   NaN   \n",
       "DGZERO-UNITS                                             NaN   \n",
       "\n",
       "                                                 PFK        PYRt2m  \\\n",
       "LEFT                    D-FRUCTOSE_6-PHOSPHATE + ATP      PYRUVATE   \n",
       "RIGHT              ADP + D-FRUCTOSE_1,6-BISPHOSPHATE      PYRUVATE   \n",
       "LEFT_COMPARTMENT                             CYTOSOL       CYTOSOL   \n",
       "RIGHT_COMPARTMENT                            CYTOSOL  MITOCHONDRIA   \n",
       "ENZYME_LEVEL                                     1.0           1.0   \n",
       "PATHWAY                                   GLYCOLYSIS           NaN   \n",
       "NREGULATION                          ATP 2.80e-03 10           NaN   \n",
       "COMMNENT                           From Equilibrator           NaN   \n",
       "DGZERO                                           NaN         -5.94   \n",
       "DGZERO-UNITS                                     NaN        KJ/MOL   \n",
       "\n",
       "                                      PDHm                     ICL  \\\n",
       "LEFT                 COA + NAD+ + PYRUVATE              isocitrate   \n",
       "RIGHT              ACETYL-COA + CO2 + NADH  glyoxylate + succinate   \n",
       "LEFT_COMPARTMENT              MITOCHONDRIA              GLYOXYSOME   \n",
       "RIGHT_COMPARTMENT             MITOCHONDRIA              GLYOXYSOME   \n",
       "ENZYME_LEVEL                           1.0                     0.0   \n",
       "PATHWAY            ACETYL COA BIOSYNTHESIS        glyoxylate shunt   \n",
       "NREGULATION         ACETYL-COA 1.00e-03 20                     NaN   \n",
       "COMMNENT                               NaN                     NaN   \n",
       "DGZERO                                 NaN                     NaN   \n",
       "DGZERO-UNITS                           NaN                     NaN   \n",
       "\n",
       "                                             MAS               PYRDC  \\\n",
       "LEFT               acetyl-CoA + glyoxylate + H2O            pyruvate   \n",
       "RIGHT                           (S)-MALATE + COA  acetaldehyde + CO2   \n",
       "LEFT_COMPARTMENT                      GLYOXYSOME             CYTOSOL   \n",
       "RIGHT_COMPARTMENT                     GLYOXYSOME             CYTOSOL   \n",
       "ENZYME_LEVEL                                 0.0                 0.0   \n",
       "PATHWAY                         glyoxylate shunt        fermentation   \n",
       "NREGULATION                                  NaN                 NaN   \n",
       "COMMNENT                                     NaN                 NaN   \n",
       "DGZERO                                       NaN                 NaN   \n",
       "DGZERO-UNITS                                 NaN                 NaN   \n",
       "\n",
       "                                       ALDD2y         ALCD2X_copy1  \\\n",
       "LEFT               acetaldehyde + NADP+ + H2O  acetaldehyde + NADH   \n",
       "RIGHT                         acetate + NADPH       ethanol + NAD+   \n",
       "LEFT_COMPARTMENT                      CYTOSOL              CYTOSOL   \n",
       "RIGHT_COMPARTMENT                     CYTOSOL              CYTOSOL   \n",
       "ENZYME_LEVEL                              0.0                  0.0   \n",
       "PATHWAY                          fermentation         fermentation   \n",
       "NREGULATION                               NaN                  NaN   \n",
       "COMMNENT                                  NaN                  NaN   \n",
       "DGZERO                                    NaN                  NaN   \n",
       "DGZERO-UNITS                              NaN                  NaN   \n",
       "\n",
       "                  LactateDehydrogenase  \n",
       "LEFT                   pyruvate + NADH  \n",
       "RIGHT                   lactate + NAD+  \n",
       "LEFT_COMPARTMENT               CYTOSOL  \n",
       "RIGHT_COMPARTMENT              CYTOSOL  \n",
       "ENZYME_LEVEL                       0.0  \n",
       "PATHWAY                   fermentation  \n",
       "NREGULATION                        NaN  \n",
       "COMMNENT                           NaN  \n",
       "DGZERO                             NaN  \n",
       "DGZERO-UNITS                       NaN  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reaction_df = pd.DataFrame()\n",
    "\n",
    "filename = '/Users/d3k137/docs/projects/boltzmann/code/06212017/run/pentose_phos.glycolysis.tca/neurospora_pentose_phos.glycolysis.tca.2.dat'\n",
    "with open(filename,'r') as f:\n",
    "  for line in f:\n",
    "     #print(line)\n",
    "     if re.match('^REACTION', line):\n",
    "        temp = re.split('\\s',line,1)\n",
    "        rxn_name = temp[1].strip()\n",
    "        if not rxn_name:            \n",
    "          print(\"Error: Reaction name not found:\\n\", line)\n",
    "     elif re.match('^COMMENT',line):\n",
    "        continue\n",
    "     elif re.match(r'//',line):\n",
    "        continue\n",
    "     elif re.match('^#',line):\n",
    "        continue\n",
    "     else:\n",
    "        #print(line)\n",
    "        rxn_pair = re.split('\\s',line,1)\n",
    "        reaction_df.loc[rxn_pair[0],rxn_name] = rxn_pair[1].strip()\n",
    "        \n",
    "     # end if\n",
    "  # end for loop\n",
    "# end with loop\n",
    "display(reaction_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "reaction_file = open('neurospora_pentose_phos.glycolysis.tca.2_rate.dat', 'w')\n",
    "for y in reaction_df:\n",
    "    print(\"REACTION\\t\",y,file=reaction_file)\n",
    "    #print(reaction_df[y])\n",
    "    for x in reaction_df[y].index:\n",
    "      if pd.notnull(reaction_df.loc[x,y]):\n",
    "        print(x, reaction_df.loc[x,y],file=reaction_file)\n",
    "    print(\"k_FORWARD\",result.loc[y,'Fwd Rate Constants Counts'],file=reaction_file)\n",
    "    print(\"k_REVERSE\",result.loc[y,'Rev Rate Constants Counts'],file=reaction_file)\n",
    "    print(\"//\",file=reaction_file)\n",
    "reaction_file.close()    "
   ]
  }
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