From 80da6939c10af356546e0f403b1ffffc90b78d4d Mon Sep 17 00:00:00 2001 From: "samira.vandenbogaard" Date: Wed, 27 Mar 2024 13:47:12 +0100 Subject: [PATCH] some updates --- ..._gene_enzyme_reaction_relation_Ecoli.xlsx# | 1 + ...lock.Sinha-etal_2021_transcript-data.xlsx# | 1 - ...7_gene_enzyme_reaction_relation_Ecoli.xlsx | Bin 320854 -> 328148 bytes Data/proteome_data_extract_schmidt2016.xlsx | Bin 857091 -> 708235 bytes ...ion_parameters_estimation-checkpoint.ipynb | 646 +++++++++++++- .../Translation_parameters_estimation.ipynb | 815 +++++++++--------- .../pam_generation.cpython-310.pyc | Bin 9502 -> 9502 bytes Scripts/ecolicore_tam_incl_transcript_info.py | 113 ++- Scripts/pam_generation.py | 10 +- Scripts/tam_generation.py | 40 +- docs/source/example.md | 5 +- src/PAModelpy/Enzyme.py | 42 +- src/PAModelpy/EnzymeSectors.py | 12 +- .../__pycache__/Enzyme.cpython-310.pyc | Bin 22517 -> 24670 bytes .../__pycache__/EnzymeSectors.cpython-310.pyc | Bin 11121 -> 11423 bytes 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      " ] @@ -764,15 +787,7 @@ "execution_count": 17, "id": "cfd4e489", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Loading PAModelpy modules version 0.0.3.3\n" - ] - } - ], + "outputs": [], "source": [ "#go to main directory for proper import statements\n", "if os.path.split(os.getcwd())[1] == 'Scripts':\n", @@ -803,8 +818,8 @@ "output_type": "stream", "text": [ "Set parameter Username\n", - "Academic license - for non-commercial use only - expires 2024-03-07\n", - "Read LP format model from file /tmp/tmpe7lszdsx.lp\n", + "Academic license - for non-commercial use only - expires 2025-03-06\n", + "Read LP format model from file /tmp/tmp5qkqeng2.lp\n", "Reading time = 0.01 seconds\n", ": 1877 rows, 5424 columns, 21150 nonzeros\n", "Setting up the proteome allocation model iML1515\n", @@ -820,7 +835,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/home/samiralvdb/.local/lib/python3.10/site-packages/PAModelpy/PAModel.py:222: UserWarning: Molar mass for E332 is invalid: 0.0\n", + "/home/samiralvdb/Documents/3_Projects/7_MCA_analysis/PAModelpy/src/PAModelpy/PAModel.py:222: UserWarning: Molar mass for E332 is invalid: 0.0\n", " warnings.warn(f'Molar mass for {enz.id} is invalid: {molmass}')\n" ] }, @@ -868,6 +883,8 @@ "cell_components_sorted = cell_components_basan.sort_values(by = ['growth_rate'])\n", "growth_rates_on_glucose = cell_components_sorted[cell_components_sorted['C_source'] == 'Glucose']['growth_rate']\n", "mmol_mrna_on_glucose = cell_components_sorted[cell_components_sorted['C_source'] == 'Glucose']['mRNA_per_CDW_mmol']\n", + "g_mrna_on_glucose = cell_components_sorted[cell_components_sorted['C_source'] == 'Glucose']['mRNA_per_CDW']\n", + "\n", "substrate_uptake_rates = []\n", "\n", "for growth_rate in growth_rates_on_glucose:\n", @@ -925,6 +942,7 @@ "source": [ "mrna_per_sector_df = pd.DataFrame({'growth_rate': growth_rates_on_glucose, \n", " 'mRNA_per_CDW_mmol': mmol_mrna_on_glucose,\n", + " 'mRNA_per_CDW_g': g_mrna_on_glucose,\n", " 'substrate_uptake_rate': [abs(rate) for rate in substrate_uptake_rates]})\n", "mrna_per_sector_df = mrna_per_sector_df.assign(protein_ue = lambda x: phi_ue_0+w_ue*x['growth_rate'],\n", " protein_t = lambda x: phi_t_0 + w_t*x['substrate_uptake_rate'],\n", @@ -943,7 +961,8 @@ " fraction_ae = lambda x: x['protein_ae']/TOT_PROT_CONTENT)\n", "mrna_per_sector_df = mrna_per_sector_df.assign(mrna_ue = lambda x: x.fraction_ue*x.mRNA_per_CDW_mmol,\n", " mrna_t = lambda x: x.fraction_t*x.mRNA_per_CDW_mmol,\n", - " mrna_ae = lambda x: x.fraction_ae*x.mRNA_per_CDW_mmol)" + " mrna_ae = lambda x: x.fraction_ae*x.mRNA_per_CDW_mmol,\n", + " mrna_ae_g = lambda x: x.fraction_ae*x.mRNA_per_CDW_g)" ] }, { @@ -975,6 +994,7 @@ " \n", " growth_rate\n", " mRNA_per_CDW_mmol\n", + " mRNA_per_CDW_g\n", " substrate_uptake_rate\n", " protein_ue\n", " protein_t\n", @@ -985,6 +1005,7 @@ " mrna_ue\n", " mrna_t\n", " mrna_ae\n", + " mrna_ae_g\n", " \n", " \n", " \n", @@ -992,6 +1013,7 @@ " 14\n", " 0.24\n", " 4.038188e-10\n", + " 0.002947\n", " 2.968601\n", " 0.080690\n", " 0.050338\n", @@ -1002,11 +1024,13 @@ " 6.034109e-11\n", " 3.764316e-11\n", " 9.495141e-11\n", + " 0.000693\n", " \n", " \n", " 13\n", " 0.35\n", " 4.627830e-10\n", + " 0.003377\n", " 4.228137\n", " 0.066374\n", " 0.055001\n", @@ -1017,11 +1041,13 @@ " 5.688299e-11\n", " 4.713579e-11\n", " 1.170886e-10\n", + " 0.000854\n", " \n", " \n", " 20\n", " 0.42\n", " 6.001197e-10\n", + " 0.004379\n", " 5.036557\n", " 0.057264\n", " 0.057993\n", @@ -1032,11 +1058,13 @@ " 6.363931e-11\n", " 6.444995e-11\n", " 1.586346e-10\n", + " 0.001158\n", " \n", " \n", " 19\n", " 0.51\n", " 6.754475e-10\n", + " 0.004929\n", " 6.076103\n", " 0.045551\n", " 0.061842\n", @@ -1047,11 +1075,13 @@ " 5.697634e-11\n", " 7.735354e-11\n", " 1.883839e-10\n", + " 0.001375\n", " \n", " \n", " 12\n", " 0.58\n", " 6.148441e-10\n", + " 0.004486\n", " 6.888753\n", " 0.036441\n", " 0.064850\n", @@ -1062,11 +1092,13 @@ " 4.149138e-11\n", " 7.383858e-11\n", " 1.784289e-10\n", + " 0.001302\n", " \n", " \n", " 18\n", " 0.64\n", " 7.055842e-10\n", + " 0.005148\n", " 7.590956\n", " 0.028632\n", " 0.067450\n", @@ -1077,11 +1109,13 @@ " 3.741161e-11\n", " 8.813258e-11\n", " 2.115683e-10\n", + " 0.001544\n", " \n", " \n", " 11\n", " 0.72\n", " 6.921189e-10\n", + " 0.005050\n", " 8.528990\n", " 0.018220\n", " 0.070923\n", @@ -1092,38 +1126,39 @@ " 2.335305e-11\n", " 9.090157e-11\n", " 2.164244e-10\n", + " 0.001579\n", " \n", " \n", "\n", "" ], "text/plain": [ - " growth_rate mRNA_per_CDW_mmol substrate_uptake_rate protein_ue \\\n", - "14 0.24 4.038188e-10 2.968601 0.080690 \n", - "13 0.35 4.627830e-10 4.228137 0.066374 \n", - "20 0.42 6.001197e-10 5.036557 0.057264 \n", - "19 0.51 6.754475e-10 6.076103 0.045551 \n", - "12 0.58 6.148441e-10 6.888753 0.036441 \n", - "18 0.64 7.055842e-10 7.590956 0.028632 \n", - "11 0.72 6.921189e-10 8.528990 0.018220 \n", + " growth_rate mRNA_per_CDW_mmol mRNA_per_CDW_g substrate_uptake_rate \\\n", + "14 0.24 4.038188e-10 0.002947 2.968601 \n", + "13 0.35 4.627830e-10 0.003377 4.228137 \n", + "20 0.42 6.001197e-10 0.004379 5.036557 \n", + "19 0.51 6.754475e-10 0.004929 6.076103 \n", + "12 0.58 6.148441e-10 0.004486 6.888753 \n", + "18 0.64 7.055842e-10 0.005148 7.590956 \n", + "11 0.72 6.921189e-10 0.005050 8.528990 \n", "\n", - " protein_t protein_ae fraction_ue fraction_t fraction_ae mrna_ue \\\n", - "14 0.050338 0.126972 0.149426 0.093218 0.235134 6.034109e-11 \n", - "13 0.055001 0.136625 0.122915 0.101853 0.253010 5.688299e-11 \n", - "20 0.057993 0.142743 0.106044 0.107395 0.264338 6.363931e-11 \n", - "19 0.061842 0.150607 0.084353 0.114522 0.278902 5.697634e-11 \n", - "12 0.064850 0.156709 0.067483 0.120093 0.290202 4.149138e-11 \n", - "18 0.067450 0.161918 0.053022 0.124907 0.299848 3.741161e-11 \n", - "11 0.070923 0.168857 0.033741 0.131338 0.312698 2.335305e-11 \n", + " protein_ue protein_t protein_ae fraction_ue fraction_t fraction_ae \\\n", + "14 0.080690 0.050338 0.126972 0.149426 0.093218 0.235134 \n", + "13 0.066374 0.055001 0.136625 0.122915 0.101853 0.253010 \n", + "20 0.057264 0.057993 0.142743 0.106044 0.107395 0.264338 \n", + "19 0.045551 0.061842 0.150607 0.084353 0.114522 0.278902 \n", + "12 0.036441 0.064850 0.156709 0.067483 0.120093 0.290202 \n", + "18 0.028632 0.067450 0.161918 0.053022 0.124907 0.299848 \n", + "11 0.018220 0.070923 0.168857 0.033741 0.131338 0.312698 \n", "\n", - " mrna_t mrna_ae \n", - "14 3.764316e-11 9.495141e-11 \n", - "13 4.713579e-11 1.170886e-10 \n", - "20 6.444995e-11 1.586346e-10 \n", - "19 7.735354e-11 1.883839e-10 \n", - "12 7.383858e-11 1.784289e-10 \n", - "18 8.813258e-11 2.115683e-10 \n", - "11 9.090157e-11 2.164244e-10 " + " mrna_ue mrna_t mrna_ae mrna_ae_g \n", + "14 6.034109e-11 3.764316e-11 9.495141e-11 0.000693 \n", + "13 5.688299e-11 4.713579e-11 1.170886e-10 0.000854 \n", + "20 6.363931e-11 6.444995e-11 1.586346e-10 0.001158 \n", + "19 5.697634e-11 7.735354e-11 1.883839e-10 0.001375 \n", + "12 4.149138e-11 7.383858e-11 1.784289e-10 0.001302 \n", + "18 3.741161e-11 8.813258e-11 2.115683e-10 0.001544 \n", + "11 2.335305e-11 9.090157e-11 2.164244e-10 0.001579 " ] }, "execution_count": 24, @@ -1161,6 +1196,28 @@ { "cell_type": "code", "execution_count": 26, + "id": "89389944", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "LinregressResult(slope=0.0019274475344656643, intercept=0.00026217836816312917, rvalue=0.9660739670313447, pvalue=0.0003998042010161341, stderr=0.00023043776273501935, intercept_stderr=0.00011945354091015464)" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "g_mrna_ae_vs_mu = linregress(mrna_per_sector_df['growth_rate'], mrna_per_sector_df['mrna_ae_g'])\n", + "g_mrna_ae_vs_mu" + ] + }, + { + "cell_type": "code", + "execution_count": 27, "id": "cf75029c", "metadata": {}, "outputs": [ @@ -1183,7 +1240,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "id": "56c74c51", "metadata": { "scrolled": true @@ -1234,13 +1291,13 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "id": "7f3c4438", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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      " ] @@ -1275,12 +1332,507 @@ }, { "cell_type": "markdown", - "id": "a575fd12", + "id": "ec8d94d0", "metadata": {}, "source": [ "## Calculate the fraction of mRNA allocated to the core metabolism\n", "at mu = 0.72 h-1" ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "4d1026e3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No enzyme information found for reaction: D_LACt2\n", + "No enzyme information found for reaction: FRD7\n", + "No enzyme information found for reaction: LDH_D\n", + "Read LP format model from file /tmp/tmpx0pgw1h5.lp\n", + "Reading time = 0.00 seconds\n", + ": 72 rows, 190 columns, 720 nonzeros\n", + "Setting up the proteome allocation model e_coli_core\n", + "\n", + "Add total condition-dependent protein constraint\n", + "\tTotal protein concentration: 0.185 g/gDW\n", + "\n", + "Add active protein sector\n", + "\n", + "Add the following protein sector: TranslationalProteinSector\n", + "\n", + "Add the following protein sector: UnusedEnzymeSector\n", + "\n", + "Done with setting up the proteome allocation model e_coli_core\n", + "\n", + "Setting up the transcript allocation model, None\n", + "Add the following mRNA sector: ActivemRNASector \n", + "\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/samiralvdb/Documents/3_Projects/7_MCA_analysis/PAModelpy/src/PAModelpy/PAModel.py:222: UserWarning: Molar mass for E429 is invalid: 0.0\n", + " warnings.warn(f'Molar mass for {enz.id} is invalid: {molmass}')\n", + "/home/samiralvdb/Documents/3_Projects/7_MCA_analysis/PAModelpy/src/PAModelpy/PAModel.py:262: UserWarning: FORt: Inconsistencies between the reaction reversibility and the provided kcat values\n", + " warnings.warn(rxn_id+': Inconsistencies between the reaction reversibility and the provided kcat values')\n" + ] + } + ], + "source": [ + "transcript_data = get_transcript_data(mmol =False)\n", + "tam = set_up_ecolicore_tam()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "ebb9ba43", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.06770383160962078" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mrna_fraction = 0\n", + "for gene, expression_data in transcript_data.iterrows():\n", + " transcript_id = 'mRNA_'+gene\n", + " if not transcript_id in tam.transcripts: continue\n", + " transcript = tam.transcripts.get_by_id('mRNA_'+gene)\n", + " #wildtype condition at mu = 0.72 h-1 in first column\n", + " mrna_fraction+=expression_data[0]\n", + "mrna_fraction" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "c2cc8bd7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Core model of Ecoli has the following parameters for the active mRNA fraction:\n", + "\t - intercept: 2.4326556466648386e-12 mmol/gcdw \n", + "\t - slope: 1.7884069388404715e-11 mmol/gcdw/h\n" + ] + } + ], + "source": [ + "mrnas_0 = mrna_fraction * mmol_mrna_ae_vs_mu.intercept\n", + "mrnas_mu = mrna_fraction * mmol_mrna_ae_vs_mu.slope\n", + "\n", + "print('Core model of Ecoli has the following parameters for the active mRNA fraction:')\n", + "print(f'\\t - intercept: {mrnas_0} mmol/gcdw \\n\\t - slope: {mrnas_mu} mmol/gcdw/h')" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "372199bb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Core model of Ecoli has the following parameters for the active mRNA fraction:\n", + "\t - intercept: 1.7750480089801658e-05 grna/gcdw \n", + "\t - slope: 0.00013049558330984208 grna/gcdw/h\n" + ] + } + ], + "source": [ + "mrnas_0 = mrna_fraction * g_mrna_ae_vs_mu.intercept\n", + "mrnas_mu = mrna_fraction * g_mrna_ae_vs_mu.slope\n", + "\n", + "print('Core model of Ecoli has the following parameters for the active mRNA fraction:')\n", + "print(f'\\t - intercept: {mrnas_0} grna/gcdw \\n\\t - slope: {mrnas_mu} grna/gcdw/h')" + ] + }, + { + "cell_type": "markdown", + "id": "874aac59", + "metadata": {}, + "source": [ + "## mRNA to translational sector" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "61c72af9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
      " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "width = 7\n", + "height = 5\n", + "fontsize = 14\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(mrna_per_sector_df['protein_t'], mrna_per_sector_df['mrna_ae'])" + ] + }, + { + "cell_type": "markdown", + "id": "ea6e983d", + "metadata": {}, + "source": [ + "## Qualitative relation between transcriptome and derived mRNA ot growth relations" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "4f4e1f79", + "metadata": {}, + "outputs": [], + "source": [ + "rna_seq_balakrishnan = pd.read_excel(RNA_FILE_PATH_BALAKRISHNAN, sheet_name = '2 - RNAseq-ss (fractions)')\n", + "rna_seq_balakrishnan_meta = pd.read_excel(RNA_FILE_PATH_BALAKRISHNAN, sheet_name = '1 - RNAseq-ss (description)')\n", + "rna_seq_balakrishnan_meta = rna_seq_balakrishnan_meta[['Sample ID','Growth rate (1/h)']]" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "faabeb03", + "metadata": {}, + "outputs": [], + "source": [ + "# load conversion table from gene to COG\n", + "gene2cog_df = pd.read_excel(os.path.join(DATA_PATH,'proteome_data_extract_schmidt2016.xlsx'),\n", + " sheet_name='Gene2COG',\n", + " engine='openpyxl',\n", + " index_col=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "cd0388c4", + "metadata": {}, + "outputs": [], + "source": [ + "# Define the id_vars (columns to keep as identifiers)\n", + "id_vars = ['gene', 'locus', 'gene length (nt)']\n", + "\n", + "# Use pd.melt() to convert to long format based on columns starting with 'c'\n", + "rna_seq_balakrishnan_long = pd.melt(rna_seq_balakrishnan, id_vars=id_vars, var_name='condition', value_name='value')\n", + "\n", + "# Filter out rows where 'condition' column does not start with 'c'\n", + "rna_seq_balakrishnan_long = rna_seq_balakrishnan_long[rna_seq_balakrishnan_long['condition'].str.startswith('c')]" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "dca0ec4e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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      genelocusgene length (nt)conditionvalueGrowth rate (1/h)COG IDCOG Name
      0aaeAb3241933c40.0000030.30NaNNaN
      1aaeBb32401968c40.0000030.30NaNNaN
      2aaeRb3243930c40.0000210.30NaNNaN
      3aaeXb3242204c40.0000160.30NaNNaN
      4aasb28362160c40.0000290.30IQLipid transport and metabolism
      ...........................
      43465zraRb40041326c0_10.0000070.95NaNNaN
      43466zraSb40031398c0_10.0000050.95NaNNaN
      43467zupTb3040774c0_10.0000860.95NaNNaN
      43468zurb4046516c0_10.0001150.95PInorganic ion transport and metabolism
      43469zwfb18521476c0_10.0002530.95GCarbohydrate transport and metabolism
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      43470 rows × 8 columns

      \n", + "
      " + ], + "text/plain": [ + " gene locus gene length (nt) condition value Growth rate (1/h) \\\n", + "0 aaeA b3241 933 c4 0.000003 0.30 \n", + "1 aaeB b3240 1968 c4 0.000003 0.30 \n", + "2 aaeR b3243 930 c4 0.000021 0.30 \n", + "3 aaeX b3242 204 c4 0.000016 0.30 \n", + "4 aas b2836 2160 c4 0.000029 0.30 \n", + "... ... ... ... ... ... ... \n", + "43465 zraR b4004 1326 c0_1 0.000007 0.95 \n", + "43466 zraS b4003 1398 c0_1 0.000005 0.95 \n", + "43467 zupT b3040 774 c0_1 0.000086 0.95 \n", + "43468 zur b4046 516 c0_1 0.000115 0.95 \n", + "43469 zwf b1852 1476 c0_1 0.000253 0.95 \n", + "\n", + " COG ID COG Name \n", + "0 NaN NaN \n", + "1 NaN NaN \n", + "2 NaN NaN \n", + "3 NaN NaN \n", + "4 IQ Lipid transport and metabolism \n", + "... ... ... \n", + "43465 NaN NaN \n", + "43466 NaN NaN \n", + "43467 NaN NaN \n", + "43468 P Inorganic ion transport and metabolism \n", + "43469 G Carbohydrate transport and metabolism \n", + "\n", + "[43470 rows x 8 columns]" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rna_seq_data = pd.merge(rna_seq_balakrishnan_long,rna_seq_balakrishnan_meta, left_on = 'condition', right_on = 'Sample ID', how = 'left').drop('Sample ID', axis=1)\n", + "rna_seq_data = pd.merge(rna_seq_data, gene2cog_df, left_on = 'locus', right_on = 'Bnumber', how = 'left')\n", + "rna_seq_data" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "5964ca97", + "metadata": {}, + "outputs": [], + "source": [ + "rna_seq_data_translation = rna_seq_data[rna_seq_data['COG Name'] == 'Translation, ribosomal structure and biogenesis']\n", + "\n", + "rna_sum_translation = rna_seq_data_translation.groupby(['condition', 'Growth rate (1/h)'])['value'].sum().reset_index()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "485d487a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
      " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Filter rows where 'COG Name' is not 'Translation'\n", + "filtered_data = rna_seq_data[rna_seq_data['COG Name'] != 'Translation, ribosomal structure and biogenesis']\n", + "\n", + "# Group by 'condition', 'Growth rate (1/h)' and 'COG Name', and calculate the sum of 'value'\n", + "sum_per_condition = filtered_data.groupby(['condition', 'Growth rate (1/h)'])['value'].sum().reset_index()\n", + "\n", + "# Split the DataFrame into two based on 'COG Name' being 'Translation' or not\n", + "translation_cog = rna_sum_translation\n", + "other_cogs = sum_per_condition\n", + "\n", + "# Plot the summed values separately for 'Translation' and the rest of the COGs\n", + "plt.figure(figsize=(10, 6))\n", + "\n", + "# Plot for 'Translation'\n", + "plt.plot(translation_cog['Growth rate (1/h)'], translation_cog['value'], label='Translation', marker='o')\n", + "\n", + "# Plot for other COGs\n", + "plt.plot(other_cogs['Growth rate (1/h)'], other_cogs['value'], label='Other COGs', marker='o')\n", + "\n", + "plt.xlabel('Growth rate (1/h)')\n", + "plt.ylabel('Sum of RNA-seq values')\n", + "plt.title('Sum of RNA-seq values vs Growth rate')\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "372d1b3b", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/Scripts/Translation_parameters_estimation.ipynb b/Scripts/Translation_parameters_estimation.ipynb index c8d6fc6..8c6dbf5 100644 --- a/Scripts/Translation_parameters_estimation.ipynb +++ b/Scripts/Translation_parameters_estimation.ipynb @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 38, "id": "9ef98264", "metadata": {}, "outputs": [], @@ -45,6 +45,8 @@ "DATA_PATH = 'Data'\n", "PARAM_FILE_PATH = os.path.join(DATA_PATH, 'TAModel', 'Balakrishnan-etal_2023_dogma-parameters_tableS6.xlsx')\n", "RNA_FILE_PATH = os.path.join(DATA_PATH, 'TAModel', 'Balakrishnan-etal_2023_mrna-vs-growth_fig2a.xlsx')\n", + "RNA_FILE_PATH_BALAKRISHNAN = os.path.join(DATA_PATH, 'TAModel', 'Balakrishnan-etal_2023_RNAseq_tableS3.xlsx')\n", + "\n", "ECOLI_RIBO_DIAMETER = 26 #nm for Ecoli Zhu et al 1997 DOI:9169230\n", "DIFFUSION_COEFF_CYTOSOL_MIN = 0.4 #microm^2/s (klumpp et al 2013)\n", "DIFFUSION_COEFF_CYTOSOL_MAX = 8 #microm^2/s (klumpp et al 2013)" @@ -816,13 +818,8 @@ "output_type": "stream", "text": [ "Set parameter Username\n", - "\n", - "--------------------------------------------\n", - "Warning: your license will expire in 14 days\n", - "--------------------------------------------\n", - "\n", - "Academic license - for non-commercial use only - expires 2024-03-07\n", - "Read LP format model from file /tmp/tmpgee2fxtn.lp\n", + "Academic license - for non-commercial use only - expires 2025-03-06\n", + "Read LP format model from file /tmp/tmp5qkqeng2.lp\n", "Reading time = 0.01 seconds\n", ": 1877 rows, 5424 columns, 21150 nonzeros\n", "Setting up the proteome allocation model iML1515\n", @@ -938,7 +935,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 22, "id": "31fbd3cf", "metadata": {}, "outputs": [], @@ -954,7 +951,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 23, "id": "2309454b", "metadata": {}, "outputs": [], @@ -970,7 +967,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 24, "id": "fbc1fbfd", "metadata": {}, "outputs": [ @@ -1164,7 +1161,7 @@ "11 2.335305e-11 9.090157e-11 2.164244e-10 0.001579 " ] }, - "execution_count": 26, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -1176,7 +1173,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 25, "id": "5786172e", "metadata": {}, "outputs": [ @@ -1186,7 +1183,7 @@ "LinregressResult(slope=2.6415151053080683e-10, intercept=3.5930841561397775e-11, rvalue=0.9660739670313448, pvalue=0.00039980420101613166, stderr=3.158087679241018e-11, intercept_stderr=1.6370787118943977e-11)" ] }, - "execution_count": 27, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -1198,7 +1195,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 26, "id": "89389944", "metadata": {}, "outputs": [ @@ -1208,7 +1205,7 @@ "LinregressResult(slope=0.0019274475344656643, intercept=0.00026217836816312917, rvalue=0.9660739670313447, pvalue=0.0003998042010161341, stderr=0.00023043776273501935, intercept_stderr=0.00011945354091015464)" ] }, - "execution_count": 28, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -1220,7 +1217,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 27, "id": "cf75029c", "metadata": {}, "outputs": [ @@ -1243,7 +1240,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 28, "id": "56c74c51", "metadata": { "scrolled": true @@ -1294,7 +1291,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 29, "id": "7f3c4438", "metadata": {}, "outputs": [ @@ -1344,7 +1341,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 30, "id": "4d1026e3", "metadata": {}, "outputs": [ @@ -1355,13 +1352,13 @@ "No enzyme information found for reaction: D_LACt2\n", "No enzyme information found for reaction: FRD7\n", "No enzyme information found for reaction: LDH_D\n", - "Read LP format model from file /tmp/tmpl4nlo8is.lp\n", + "Read LP format model from file /tmp/tmpx0pgw1h5.lp\n", "Reading time = 0.00 seconds\n", ": 72 rows, 190 columns, 720 nonzeros\n", "Setting up the proteome allocation model e_coli_core\n", "\n", "Add total condition-dependent protein constraint\n", - "\tTotal protein concentration: 0.16995 g/gDW\n", + "\tTotal protein concentration: 0.185 g/gDW\n", "\n", "Add active protein sector\n", "\n", @@ -1371,209 +1368,9 @@ "\n", "Done with setting up the proteome allocation model e_coli_core\n", "\n", + "Setting up the transcript allocation model, None\n", "Add the following mRNA sector: ActivemRNASector \n", - "\n", - "1.1.1.42\n", - "-1.0*1.1.1.42 - 1.0*1.1.1.42_reverse_0ad9c + 4687500000.0*mRNA_gene_dummy mRNA_gene_dummy_1.1.1.42_max: 0 <= -1.0*1.1.1.42 - 1.0*1.1.1.42_reverse_0ad9c + 4687500000.0*mRNA_gene_dummy <= 1000000.0\n", - "-1.0*1.1.1.42 - 1.0*1.1.1.42_reverse_0ad9c + 56250.0*mRNA_gene_dummy mRNA_gene_dummy_1.1.1.42_min: -1000000.0 <= -1.0*1.1.1.42 - 1.0*1.1.1.42_reverse_0ad9c + 56250.0*mRNA_gene_dummy <= 0\n", - "1.2.1.10\n", - "-1.0*1.2.1.10 - 1.0*1.2.1.10_reverse_7bee2 + 4687500000.0*mRNA_gene_dummy mRNA_gene_dummy_1.2.1.10_max: 0 <= -1.0*1.2.1.10 - 1.0*1.2.1.10_reverse_7bee2 + 4687500000.0*mRNA_gene_dummy <= 1000000.0\n", - "-1.0*1.2.1.10 - 1.0*1.2.1.10_reverse_7bee2 + 56250.0*mRNA_gene_dummy mRNA_gene_dummy_1.2.1.10_min: -1000000.0 <= -1.0*1.2.1.10 - 1.0*1.2.1.10_reverse_7bee2 + 56250.0*mRNA_gene_dummy <= 0\n", - "4.2.1.11\n", - "-1.0*4.2.1.11 - 1.0*4.2.1.11_reverse_3b7e2 + 4687500000.0*mRNA_gene_dummy mRNA_gene_dummy_4.2.1.11_max: 0 <= -1.0*4.2.1.11 - 1.0*4.2.1.11_reverse_3b7e2 + 4687500000.0*mRNA_gene_dummy <= 1000000.0\n", - "-1.0*4.2.1.11 - 1.0*4.2.1.11_reverse_3b7e2 + 56250.0*mRNA_gene_dummy mRNA_gene_dummy_4.2.1.11_min: -1000000.0 <= -1.0*4.2.1.11 - 1.0*4.2.1.11_reverse_3b7e2 + 56250.0*mRNA_gene_dummy <= 0\n", - "4.1.2.13\n", - "-1.0*4.1.2.13 - 1.0*4.1.2.13_reverse_00a63 + 4687500000.0*mRNA_gene_dummy mRNA_gene_dummy_4.1.2.13_max: 0 <= -1.0*4.1.2.13 - 1.0*4.1.2.13_reverse_00a63 + 4687500000.0*mRNA_gene_dummy <= 1000000.0\n", - "-1.0*4.1.2.13 - 1.0*4.1.2.13_reverse_00a63 + 56250.0*mRNA_gene_dummy mRNA_gene_dummy_4.1.2.13_min: -1000000.0 <= -1.0*4.1.2.13 - 1.0*4.1.2.13_reverse_00a63 + 56250.0*mRNA_gene_dummy <= 0\n", - "5.3.1.9\n", - "-1.0*5.3.1.9 - 1.0*5.3.1.9_reverse_7ffb4 + 4687500000.0*mRNA_gene_dummy mRNA_gene_dummy_5.3.1.9_max: 0 <= -1.0*5.3.1.9 - 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Inconsistencies between the reaction reversibility and the provided kcat values')\n" ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "mRNA_b0726_1.8.1.4_min: -1000000.0 <= -1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 784560.1*mRNA_b0726 <= 0\n", - "1.8.1.4\n", - "-1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 12342408333.3333*mRNA_b0727 mRNA_b0727_1.8.1.4_max: 0 <= -1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 12342408333.3333*mRNA_b0727 <= 1000000.0\n", - "-1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 148108.9*mRNA_b0727 mRNA_b0727_1.8.1.4_min: -1000000.0 <= -1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 148108.9*mRNA_b0727 <= 0\n", - "1.8.1.4\n", - "-1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 16898133333.3333*mRNA_b0116 mRNA_b0116_1.8.1.4_max: 0 <= -1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 16898133333.3333*mRNA_b0116 <= 1000000.0\n", - "-1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c + 202777.6*mRNA_b0116 mRNA_b0116_1.8.1.4_min: -1000000.0 <= -1.0*1.8.1.4 - 1.0*1.8.1.4_reverse_5817c 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1.0*1.6.5.11_reverse_4fb5b + 760033333.333333*mRNA_b2279 mRNA_b2279_1.6.5.11_max: 0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 760033333.333333*mRNA_b2279 <= 1000000.0\n", - "-1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 9120.4*mRNA_b2279 mRNA_b2279_1.6.5.11_min: -1000000.0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 9120.4*mRNA_b2279 <= 0\n", - "1.6.5.11\n", - "-1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 14896408333.3333*mRNA_b2284 mRNA_b2284_1.6.5.11_max: 0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 14896408333.3333*mRNA_b2284 <= 1000000.0\n", - "-1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 178756.9*mRNA_b2284 mRNA_b2284_1.6.5.11_min: -1000000.0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 178756.9*mRNA_b2284 <= 0\n", - "1.6.5.11\n", - "-1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 7954408333.33333*mRNA_b2282 mRNA_b2282_1.6.5.11_max: 0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 7954408333.33333*mRNA_b2282 <= 1000000.0\n", - "-1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 95452.9*mRNA_b2282 mRNA_b2282_1.6.5.11_min: -1000000.0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 95452.9*mRNA_b2282 <= 0\n", - "1.6.5.11\n", - "-1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 26700833333.3333*mRNA_b2286 mRNA_b2286_1.6.5.11_max: 0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 26700833333.3333*mRNA_b2286 <= 1000000.0\n", - "-1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 320410.0*mRNA_b2286 mRNA_b2286_1.6.5.11_min: -1000000.0 <= -1.0*1.6.5.11 - 1.0*1.6.5.11_reverse_4fb5b + 320410.0*mRNA_b2286 <= 0\n", - "E751\n", - "-1.0*E751 - 1.0*E751_reverse_f1890 + 18725008333.3333*mRNA_b2987 mRNA_b2987_E751_max: 0 <= -1.0*E751 - 1.0*E751_reverse_f1890 + 18725008333.3333*mRNA_b2987 <= 1000000.0\n", - "-1.0*E751 - 1.0*E751_reverse_f1890 + 224700.1*mRNA_b2987 mRNA_b2987_E751_min: -1000000.0 <= -1.0*E751 - 1.0*E751_reverse_f1890 + 224700.1*mRNA_b2987 <= 0\n", - "E752\n", - "-1.0*E752 - 1.0*E752_reverse_0cc91 + 18725008333.3333*mRNA_b2987 mRNA_b2987_E752_max: 0 <= -1.0*E752 - 1.0*E752_reverse_0cc91 + 18725008333.3333*mRNA_b2987 <= 1000000.0\n", - "-1.0*E752 - 1.0*E752_reverse_0cc91 + 224700.1*mRNA_b2987 mRNA_b2987_E752_min: -1000000.0 <= -1.0*E752 - 1.0*E752_reverse_0cc91 + 224700.1*mRNA_b2987 <= 0\n", - "E751\n", - "-1.0*E751 - 1.0*E751_reverse_f1890 + 18725008333.3333*mRNA_b3493 mRNA_b3493_E751_max: 0 <= -1.0*E751 - 1.0*E751_reverse_f1890 + 18725008333.3333*mRNA_b3493 <= 1000000.0\n", - "-1.0*E751 - 1.0*E751_reverse_f1890 + 224700.1*mRNA_b3493 mRNA_b3493_E751_min: -1000000.0 <= -1.0*E751 - 1.0*E751_reverse_f1890 + 224700.1*mRNA_b3493 <= 0\n", - "E752\n", - "-1.0*E752 - 1.0*E752_reverse_0cc91 + 18725008333.3333*mRNA_b3493 mRNA_b3493_E752_max: 0 <= -1.0*E752 - 1.0*E752_reverse_0cc91 + 18725008333.3333*mRNA_b3493 <= 1000000.0\n", - "-1.0*E752 - 1.0*E752_reverse_0cc91 + 224700.1*mRNA_b3493 mRNA_b3493_E752_min: -1000000.0 <= -1.0*E752 - 1.0*E752_reverse_0cc91 + 224700.1*mRNA_b3493 <= 0\n" - ] } ], "source": [ @@ -1793,7 +1391,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 31, "id": "ebb9ba43", "metadata": {}, "outputs": [ @@ -1803,7 +1401,7 @@ "0.06770383160962078" ] }, - "execution_count": 33, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -1821,7 +1419,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 32, "id": "c2cc8bd7", "metadata": {}, "outputs": [ @@ -1845,7 +1443,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 33, "id": "372199bb", "metadata": {}, "outputs": [ @@ -1867,10 +1465,371 @@ "print(f'\\t - intercept: {mrnas_0} grna/gcdw \\n\\t - slope: {mrnas_mu} grna/gcdw/h')" ] }, + { + "cell_type": "markdown", + "id": "874aac59", + "metadata": {}, + "source": [ + "## mRNA to translational sector" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "61c72af9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
      " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "width = 7\n", + "height = 5\n", + "fontsize = 14\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(mrna_per_sector_df['protein_t'], mrna_per_sector_df['mrna_ae'])" + ] + }, + { + "cell_type": "markdown", + "id": "ea6e983d", + "metadata": {}, + "source": [ + "## Qualitative relation between transcriptome and derived mRNA ot growth relations" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "4f4e1f79", + "metadata": {}, + "outputs": [], + "source": [ + "rna_seq_balakrishnan = pd.read_excel(RNA_FILE_PATH_BALAKRISHNAN, sheet_name = '2 - RNAseq-ss (fractions)')\n", + "rna_seq_balakrishnan_meta = pd.read_excel(RNA_FILE_PATH_BALAKRISHNAN, sheet_name = '1 - RNAseq-ss (description)')\n", + "rna_seq_balakrishnan_meta = rna_seq_balakrishnan_meta[['Sample ID','Growth rate (1/h)']]" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "faabeb03", + "metadata": {}, + "outputs": [], + "source": [ + "# load conversion table from gene to COG\n", + "gene2cog_df = pd.read_excel(os.path.join(DATA_PATH,'proteome_data_extract_schmidt2016.xlsx'),\n", + " sheet_name='Gene2COG',\n", + " engine='openpyxl',\n", + " index_col=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "cd0388c4", + "metadata": {}, + "outputs": [], + "source": [ + "# Define the id_vars (columns to keep as identifiers)\n", + "id_vars = ['gene', 'locus', 'gene length (nt)']\n", + "\n", + "# Use pd.melt() to convert to long format based on columns starting with 'c'\n", + "rna_seq_balakrishnan_long = pd.melt(rna_seq_balakrishnan, id_vars=id_vars, var_name='condition', value_name='value')\n", + "\n", + "# Filter out rows where 'condition' column does not start with 'c'\n", + "rna_seq_balakrishnan_long = rna_seq_balakrishnan_long[rna_seq_balakrishnan_long['condition'].str.startswith('c')]" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "dca0ec4e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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      genelocusgene length (nt)conditionvalueGrowth rate (1/h)COG IDCOG Name
      0aaeAb3241933c40.0000030.30NaNNaN
      1aaeBb32401968c40.0000030.30NaNNaN
      2aaeRb3243930c40.0000210.30NaNNaN
      3aaeXb3242204c40.0000160.30NaNNaN
      4aasb28362160c40.0000290.30IQLipid transport and metabolism
      ...........................
      43465zraRb40041326c0_10.0000070.95NaNNaN
      43466zraSb40031398c0_10.0000050.95NaNNaN
      43467zupTb3040774c0_10.0000860.95NaNNaN
      43468zurb4046516c0_10.0001150.95PInorganic ion transport and metabolism
      43469zwfb18521476c0_10.0002530.95GCarbohydrate transport and metabolism
      \n", + "

      43470 rows × 8 columns

      \n", + "
      " + ], + "text/plain": [ + " gene locus gene length (nt) condition value Growth rate (1/h) \\\n", + "0 aaeA b3241 933 c4 0.000003 0.30 \n", + "1 aaeB b3240 1968 c4 0.000003 0.30 \n", + "2 aaeR b3243 930 c4 0.000021 0.30 \n", + "3 aaeX b3242 204 c4 0.000016 0.30 \n", + "4 aas b2836 2160 c4 0.000029 0.30 \n", + "... ... ... ... ... ... ... \n", + "43465 zraR b4004 1326 c0_1 0.000007 0.95 \n", + "43466 zraS b4003 1398 c0_1 0.000005 0.95 \n", + "43467 zupT b3040 774 c0_1 0.000086 0.95 \n", + "43468 zur b4046 516 c0_1 0.000115 0.95 \n", + "43469 zwf b1852 1476 c0_1 0.000253 0.95 \n", + "\n", + " COG ID COG Name \n", + "0 NaN NaN \n", + "1 NaN NaN \n", + "2 NaN NaN \n", + "3 NaN NaN \n", + "4 IQ Lipid transport and metabolism \n", + "... ... ... \n", + "43465 NaN NaN \n", + "43466 NaN NaN \n", + "43467 NaN NaN \n", + "43468 P Inorganic ion transport and metabolism \n", + "43469 G Carbohydrate transport and metabolism \n", + "\n", + "[43470 rows x 8 columns]" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rna_seq_data = pd.merge(rna_seq_balakrishnan_long,rna_seq_balakrishnan_meta, left_on = 'condition', right_on = 'Sample ID', how = 'left').drop('Sample ID', axis=1)\n", + "rna_seq_data = pd.merge(rna_seq_data, gene2cog_df, left_on = 'locus', right_on = 'Bnumber', how = 'left')\n", + "rna_seq_data" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "5964ca97", + "metadata": {}, + "outputs": [], + "source": [ + "rna_seq_data_translation = rna_seq_data[rna_seq_data['COG Name'] == 'Translation, ribosomal structure and biogenesis']\n", + "\n", + "rna_sum_translation = rna_seq_data_translation.groupby(['condition', 'Growth rate (1/h)'])['value'].sum().reset_index()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "485d487a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
      " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Filter rows where 'COG Name' is not 'Translation'\n", + "filtered_data = rna_seq_data[rna_seq_data['COG Name'] != 'Translation, ribosomal structure and biogenesis']\n", + "\n", + "# Group by 'condition', 'Growth rate (1/h)' and 'COG Name', and calculate the sum of 'value'\n", + "sum_per_condition = filtered_data.groupby(['condition', 'Growth rate (1/h)'])['value'].sum().reset_index()\n", + "\n", + "# Split the DataFrame into two based on 'COG Name' being 'Translation' or not\n", + "translation_cog = rna_sum_translation\n", + "other_cogs = sum_per_condition\n", + "\n", + "# Plot the summed values separately for 'Translation' and the rest of the COGs\n", + "plt.figure(figsize=(10, 6))\n", + "\n", + "# Plot for 'Translation'\n", + "plt.plot(translation_cog['Growth rate (1/h)'], translation_cog['value'], label='Translation', marker='o')\n", + "\n", + "# Plot for other COGs\n", + "plt.plot(other_cogs['Growth rate (1/h)'], other_cogs['value'], label='Other COGs', marker='o')\n", + "\n", + "plt.xlabel('Growth rate (1/h)')\n", + "plt.ylabel('Sum of RNA-seq values')\n", + "plt.title('Sum of RNA-seq values vs Growth rate')\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, { "cell_type": "code", "execution_count": null, - "id": "f093eb3e", + "id": "372d1b3b", "metadata": {}, "outputs": [], "source": [] diff --git a/Scripts/__pycache__/pam_generation.cpython-310.pyc b/Scripts/__pycache__/pam_generation.cpython-310.pyc index 729091956031c7ed65c4ea2a7885ae545d14f645..1a4734250cb1a816ddc1bfdac11615a96eaf3409 100644 GIT binary patch delta 178 zcmbQ|HP4GTpO=@50SICXU!-o@$UBpb$;f>23N{z^b?y(VMAjYO{F&_)6EhPV^X3Pf z&sZ5JZa&VxkC`!dbDJ_9oQ#Z_o4?BWFftZRc2c;;IAOD-q8TIO!pQ+j^+581(jvw=n~RmZ7!^I37?~JF e{sGDVOpILr8R|LMIk@?lrDTMBlsGx$gm?g3I5kiJ delta 178 zcmbQ|HP4GTpO=@50SI<#UQaFC$UBpb$ d0m=VNj9mX2>N(gsxcOM5WQ2T_I635mcmOO`HopJ> diff --git a/Scripts/ecolicore_tam_incl_transcript_info.py b/Scripts/ecolicore_tam_incl_transcript_info.py index 96d4092..12534c3 100644 --- a/Scripts/ecolicore_tam_incl_transcript_info.py +++ b/Scripts/ecolicore_tam_incl_transcript_info.py @@ -1,6 +1,7 @@ import matplotlib.pyplot as plt import pandas as pd import os +import cobra from Scripts.tam_generation import set_up_toy_tam, set_up_ecolicore_tam from Scripts.pam_generation import set_up_ecolicore_pam @@ -14,8 +15,8 @@ FLUX_FILE_PATH = os.path.join('Data', 'TAModel', 'Sinha-etal_2021_flux-data.xlsx') -mrna_vs_mu_slope = 2.64E-10 -mrna_vs_mu_intercept = 3.59E-11 +mrna_vs_mu_slope = 0.00013049558330984208 +mrna_vs_mu_intercept = 1.7750480089801658e-05 def get_transcript_data(transcript_file_path:str = TRANSCRIPT_FILE_PATH, mmol = True, @@ -43,25 +44,71 @@ def get_pam_fluxes(substrate_uptake_rate): pam.change_reaction_bounds('EX_glc__D_e', lower_bound=-substrate_uptake_rate, upper_bound=0) sol = pam.optimize() pam_fluxes = sol.fluxes - return pam_fluxes + return pam_fluxes,pam -def set_up_tamodel(strain ='REF'): +def set_up_tamodel(substrate_uptake_rate, strain ='REF'): tam = set_up_ecolicore_tam() - tam.change_reaction_bounds('EX_glc__D_e', lower_bound=-1e6, upper_bound=0) + tam.change_reaction_bounds('EX_glc__D_e', lower_bound=-substrate_uptake_rate, upper_bound=0) transcript_data_mmol = get_transcript_data() - - for gene, expression_data in transcript_data_mmol.iterrows(): - transcript_id = 'mRNA_' + gene - if not transcript_id in tam.transcripts: continue - transcript = tam.transcripts.get_by_id('mRNA_' + gene) - # testing wildtype condition - transcript.change_concentration(concentration=expression_data[strain], - error=expression_data[strain] * 0.01) + i=0 + infeasible = [] + for transcript in tam.transcripts: + # print(enzyme, transcript) + conc = [] + for gene in transcript.genes: + if gene.id in transcript_data_mmol.index: #and gene.id != 'b2987' and gene.id!= 'b3493': #genes related to phosphate transport seem to mess up the calculations + conc += [transcript_data_mmol.loc[gene.id, strain]] + if len(conc) > 0: + transcript.change_concentration(concentration=min(conc) * 1e-3, error= max(conc)*1e-3* 0.01) + + tam.change_reaction_bounds('EX_glc__D_e', lower_bound=-9, upper_bound=-9) + tam.optimize() + if tam.solver.status != 'optimal': infeasible += [transcript] + else: print(tam.objective.value) + + elif gene.id != 'gene_dummy': + print(transcript) + + print(infeasible) + # tam.test() + # print(transcript.enzymes) + # print(tam.solver.status) + # for gene, expression_data in transcript_data_mmol.iterrows(): + # if i<10000: + # transcript_id = 'mRNA_' + gene + # if not transcript_id in tam.transcripts: continue + # + # transcript = tam.transcripts.get_by_id('mRNA_' + gene) + # # testing wildtype condition + # transcript.change_concentration(concentration=expression_data[strain]*1e-3, + # error=expression_data[strain] *1e-3* 0.01) + # i+=1 + # tam.test() + # print(transcript.enzymes) + # print(tam.solver.status) + # print(transcript) + # if tam.solver.status != 'optimal': + # print('number of transcripts which were be added to the model: ',i) + # for name, cons in transcript._constraints.items(): + # print(name, cons, expression_data[strain]) + # break + # print('number of transcripts which could be added to the model: ', len(tam.transcripts)) + # enz = tam.enzymes.get_by_id('2.7.3.9') + # print(enz.name, enz.enzyme_variable.concentration) + # print(infeasible) return tam def get_tam_fluxes(tam,substrate_uptake_rate): tam.change_reaction_bounds('EX_glc__D_e', lower_bound=-substrate_uptake_rate, upper_bound=0) sol = tam.optimize() + if tam.solver.status != 'optimal': return None + for transcript in tam.transcripts: + for constr in transcript._constraints.values(): + if constr.dual !=0: + print(transcript, transcript.mrna_variable.primal, constr.primal) + print(transcript.f_min*transcript.mrna_variable.primal, transcript.f_max*transcript.mrna_variable.primal) + for enzyme in transcript.enzymes: print(enzyme.id, enzyme.concentration) + print(constr) tam_fluxes = sol.fluxes return tam_fluxes @@ -92,21 +139,46 @@ def compare_flux_data(flux_data, pam_fluxes, tam_fluxes, strain ='REF', abs=True print(flux_results_percentage.to_markdown()) return flux_results_percentage -def compare_fluxes_holm_reference(strain = 'REF'): +def compare_fluxes_holm_reference(strain = 'REF', plot = True): flux_data =get_flux_data() substrate_uptake_rate = flux_data[strain]['GLCptspp'] - pam_fluxes = get_pam_fluxes(substrate_uptake_rate=substrate_uptake_rate) + pam_fluxes, pam = get_pam_fluxes(substrate_uptake_rate=substrate_uptake_rate) - tam = set_up_tamodel(strain) + tam = set_up_tamodel(substrate_uptake_rate,strain) tam_fluxes = get_tam_fluxes(tam, substrate_uptake_rate=substrate_uptake_rate) + if tam_fluxes is None: + print('TAModel was infeasible') + return for i,row in tam.capacity_sensitivity_coefficients.iterrows(): if row.coefficient > 0: print(row) + # for transcript in tam.transcripts: + # if transcript.mrna_variable.lb != 0: + # for gene in transcript.genes: + # gene_id = gene.id + # enzymes = tam.get_enzymes_by_gene_id(gene_id) + # for enzyme in enzymes: + # print(enzyme.id, 'TAM',enzyme.concentration,'PAM' ,pam.enzymes.get_by_id(enzyme.id).concentration) + # print() + # print('RNA constraints primal', tam.constraints[tam.TOTAL_MRNA_CONSTRAINT_ID].primal) + # print('RNA constraints dual', tam.constraints[tam.TOTAL_MRNA_CONSTRAINT_ID].dual) + # for enzyme in pam.enzyme_variables[:9]: + # tam_enzyme = tam.enzyme_variables.get_by_id(enzyme.id) + # + # print(enzyme.id, enzyme.concentration, tam_enzyme.concentration) + # tam_transcripts = tam.get_transcripts_associated_with_enzyme(tam.enzymes.get_by_id(enzyme.id), output='list') + # for transcript in tam_transcripts: + # print(transcript.id, transcript.mrna_variable.primal) + # print('bounds',transcript.mrna_variable.lb, transcript.mrna_variable.ub) + # for constraint in transcript._constraints.values(): + # if constraint.dual>0: print(constraint, constraint.dual) + + flux_relative = compare_flux_data(flux_data, pam_fluxes, tam_fluxes, strain,abs = False) flux_absolute = compare_flux_data(flux_data, pam_fluxes, tam_fluxes, strain) - plot_flux_comparison(flux_absolute, flux_relative, strain) + if plot: plot_flux_comparison(flux_absolute, flux_relative, strain) def plot_flux_comparison(flux_df_abs, flux_df_rel, strain): fig, ax = plt.subplots(1,2) @@ -136,11 +208,12 @@ def plot_flux_comparison(flux_df_abs, flux_df_rel, strain): if __name__ == '__main__': + print('Reference condition') - compare_fluxes_holm_reference() + compare_fluxes_holm_reference(plot =False) print('\n-------------------------------------------------------------------------------------------------') - print('mutation 1: NOX strain (overexpression of NADH oxidase)\n') - compare_fluxes_holm_reference('NOX') + # print('mutation 1: NOX strain (overexpression of NADH oxidase)\n') + # compare_fluxes_holm_reference('NOX', plot=False) # TODO print mRNA and protein concentrations to compare with lb # TODO print shadowprices of mRNA (are lbs hit? how far can I constrain?) diff --git a/Scripts/pam_generation.py b/Scripts/pam_generation.py index 2409892..36973b9 100644 --- a/Scripts/pam_generation.py +++ b/Scripts/pam_generation.py @@ -9,6 +9,7 @@ from src.PAModelpy.EnzymeSectors import ActiveEnzymeSector, UnusedEnzymeSector, TransEnzymeSector from src.PAModelpy.configuration import Config +from Scripts.tam_generation import parse_reaction2protein2gene2transcript from Scripts.toy_ec_pam import build_toy_gem, build_active_enzyme_sector, build_translational_protein_sector, build_unused_protein_sector 'Function library for making Protein Allocation Models as described in the publication' @@ -43,7 +44,9 @@ def set_up_ecolicore_pam(total_protein:bool = True, active_enzymes: bool = True, # some other constants BIOMASS_REACTION = 'BIOMASS_Ecoli_core_w_GAM' - TOTAL_PROTEIN_CONCENTRATION = 0.16995 # [g_prot/g_cdw] + # TOTAL_PROTEIN_CONCENTRATION = 0.16995 # [g_prot/g_cdw] + TOTAL_PROTEIN_CONCENTRATION = 0.185 # [g_prot/g_cdw] + config = Config() config.reset() @@ -57,7 +60,7 @@ def set_up_ecolicore_pam(total_protein:bool = True, active_enzymes: bool = True, enzyme_db = _parse_enzyme_information_from_file(TAM_DATA_FILE_PATH) # create enzyme objects for each gene-associated reaction - rxn2protein, protein2gene, gene2transcript = parse_reaction2protein(enzyme_db, model) + rxn2protein, protein2gene, gene2transcript = parse_reaction2protein2gene2transcript(enzyme_db, model) # create active enzymes sector active_enzyme_sector = ActiveEnzymeSector(rxn2protein=rxn2protein, @@ -252,7 +255,6 @@ def parse_coefficients(pamodel): def parse_esc(pamodel): return pamodel.enzyme_sensitivity_coefficients.coefficient.to_list() - def _parse_enzyme_information_from_file(file_path:str): # load active enzyme sector information enzyme_db = pd.read_excel(file_path, sheet_name='enzyme-gene-reaction') @@ -376,7 +378,6 @@ def _get_fwd_bckw_kcat(rxn_id: str, kcat:float, model:PAModel) -> Union[list, No # Iterate over each identifier in the input if base_id in model.reactions: - if not model.reactions.get_by_id(base_id).genes: return None # Determine the form of the identifier if rxn_id.endswith('_f'): kcat_fwd = kcat @@ -391,7 +392,6 @@ def _get_fwd_bckw_kcat(rxn_id: str, kcat:float, model:PAModel) -> Union[list, No else: return None elif rxn_id in model.reactions: - if not model.reactions.get_by_id(rxn_id).genes: return None kcat_fwd = kcat kcat_rev = kcat else: diff --git a/Scripts/tam_generation.py b/Scripts/tam_generation.py index 9ae26c1..29a6f03 100644 --- a/Scripts/tam_generation.py +++ b/Scripts/tam_generation.py @@ -67,8 +67,17 @@ def set_up_ecolicore_tam(total_protein:bool = True, active_enzymes: bool = True, enzyme_db = _parse_enzyme_information_from_file(TAM_DATA_FILE_PATH) # create enzyme objects for each gene-associated reaction - rxn2protein, protein2gene, gene2transcript = parse_reaction2protein(enzyme_db, model) - + rxn2protein, protein2gene, gene2transcript = parse_reaction2protein2gene2transcript(enzyme_db, model) + + # import random + # gene2transcript2 ={} + # for i in range(50): + # gene, transcript = random.choice(list(gene2transcript.items())) + # gene2transcript2 = {**gene2transcript2, gene:transcript} + # gene2, transcript2 = random.choice(list(gene2transcript.items())) + # gene3, transcript3 = random.choice(list(gene2transcript.items())) + # + # gene2transcript = {gene:transcript, gene2:transcript2, gene3:transcript3} # create active enzymes sector active_enzyme_sector = ActiveEnzymeSector(rxn2protein=rxn2protein, protein2gene = protein2gene, @@ -284,7 +293,7 @@ def _parse_enzyme_information_from_file(file_path:str): return enzyme_db -def parse_reaction2protein(enzyme_db: pd.DataFrame, model:cobra.Model) -> dict: +def parse_reaction2protein2gene2transcript(enzyme_db: pd.DataFrame, model:cobra.Model) -> dict: # Initialize dictionaries rxn2protein = {} protein2gene = {} @@ -301,24 +310,25 @@ def parse_reaction2protein(enzyme_db: pd.DataFrame, model:cobra.Model) -> dict: #check if there is a forward or backward string which needs to be removed from the rxn id if any([rxn_id.endswith('_f'), rxn_id.endswith('_b')]): rxn_id = rxn_id[:-2] + rxn = model.reactions.get_by_id(rxn_id) #get the identifiers and replace nan values by dummy placeholders enzyme_id = row['EC_nmbr'] - if not isinstance(enzyme_id, str): enzyme_id = 'Enzyme_'+rxn_id gene_id = row['gene_id'] - if not isinstance(gene_id, str): gene_id = 'gene_dummy' - mrna_length = row['mrna_length'] + if len(rxn.genes)>0: + if not isinstance(enzyme_id, str): enzyme_id = 'Enzyme_'+rxn_id + if not isinstance(gene_id, str): gene_id = 'gene_dummy' + mrna_length = row['mrna_length'] - #get the gene-protein-reaction-associations - gpr = parse_gpr_information_for_protein2genes(row['gpr']) + #get the gene-protein-reaction-associations + gpr = parse_gpr_information_for_protein2genes(row['gpr']) - # Create gene-protein-reaction associations - if enzyme_id not in protein2gene: - protein2gene[enzyme_id] = [] - protein2gene[enzyme_id].append(gpr) + # Create gene-protein-reaction associations + if enzyme_id not in protein2gene: + protein2gene[enzyme_id] = gpr - # Create gene2transcript dictionary - if gene_id not in gene2transcript.keys(): - gene2transcript[gene_id] = {'id': f'mRNA_{gene_id}', 'length': mrna_length} + # Create gene2transcript dictionary + if gene_id not in gene2transcript.keys(): + gene2transcript[gene_id] = {'id': f'mRNA_{gene_id}', 'length': mrna_length} # Create rxn2protein dictionary if rxn_id not in rxn2protein: diff --git a/docs/source/example.md b/docs/source/example.md index 28299ab..61990dc 100644 --- a/docs/source/example.md +++ b/docs/source/example.md @@ -42,7 +42,7 @@ First, we'll define the paths we'll download the data ```python protein_sector_info_path = 'Data/proteinAllocationModel_iML1515_EnzymaticData_py.xls' -active_enzyme_data = pd.read_excel(protein_sector_info_path, sheet_name='ActiveEnzymes')) +active_enzyme_info = pd.read_excel(protein_sector_info_path, sheet_name='ActiveEnzymes')) ``` The data is now in a dataframe with the following columns: @@ -52,9 +52,6 @@ rxn_id - rxnName - rxnEquat - EC_nmbr - molMass First, let's add an identifier to the reactions for which the enzyme is unknown, in order to distinguish between the enzymes ```python -#load active enzyme sector information -active_enzyme_info = pd.read_excel(pam_info_file, sheet_name='ActiveEnzymes') - # replace NaN values with unique identifiers #select the NaN values nan_values = active_enzyme_info['EC_nmbr'].isnull() diff --git a/src/PAModelpy/Enzyme.py b/src/PAModelpy/Enzyme.py index da24e5d..cda4795 100644 --- a/src/PAModelpy/Enzyme.py +++ b/src/PAModelpy/Enzyme.py @@ -5,7 +5,7 @@ import PAModelpy.Enzyme import cobra.core import cobra -from cobra import Reaction, Object +from cobra import Reaction, Object, Gene from cobra.exceptions import OptimizationError from cobra.util.solver import check_solver_status from copy import copy, deepcopy @@ -87,6 +87,7 @@ def __init__( self._model = None self.enzyme_complex = [] #is the enzyme in a complex? self.genes = genes + self.transcripts = DictList() self.annotation = {'type':'Constraint'}#you can add an annotation for an enzyme @property @@ -114,9 +115,7 @@ def concentration(self, units:str = 'mmol/gDW', return_units:bool = False) -> fl """ # sum up concentrations (aka fluxes) of all enzyme objects - concentration = 0.0 - for catalytic_event in self.catalytic_events: - concentration += catalytic_event.flux() + concentration = self.enzyme_variable.concentration if units == 'g/gDW': #converting mmol to grams of protein: # [g] = [mmol]* 1e-3 [mol/mmol] * MW[g/mol] @@ -147,6 +146,40 @@ def add_catalytic_event(self, ce: CatalyticEvent, kcats: Dict): self.catalytic_events += [ce] self.enzyme_variable.add_catalytic_events([ce],[kcats]) + def add_genes(self, gene_list: list, gene_length:list, relation:str = 'OR') -> None: + """ + Add genes to the enzyme and the model related to the enzyme if applicable + + Args: + gene_list (list): A list of gene identifiers to be added. + gene_length (list): A list of lengths corresponding to each gene. + relation (str, optional): The relationship between genes in gene_list. + Defaults to 'OR'. Possible values: 'OR' or 'AND'. + + Raises: + ValueError: If an invalid relation is provided. + + Note: + If relation is 'OR', each gene in gene_list will be treated as coding for an individual isozyme + If relation is 'AND', all genes in gene_list will be treated as coding for peptides in an enzyme complex + + """ + # check/correct type of arguments + if isinstance(gene_list, str): gene_list = [gene_list] + if not isinstance(gene_length, list): gene_length = [gene_length] + + if relation == 'OR': + genes_to_add = [[Gene(gene)] for gene in gene_list][0] + elif relation == 'AND': + genes_to_add = [Gene(gene) for gene in gene_list] + else: + raise ValueError("Invalid relation. Supported values are 'OR' or 'AND'.") + self.genes.append(genes_to_add) + + if self._model is not None: + self._model.add_genes(genes = genes_to_add, enzymes = [self], gene_lengths=gene_length) + + def create_catalytic_event(self, rxn_id: str, kcats: Dict): """creates enzyme variables that link to reactions @@ -633,6 +666,7 @@ def add_reactions(self, reaction_kcat_dict: dict): self.reverse_variable: -1 }) + def remove_catalytic_event(self, catalytic_event: Union[CatalyticEvent, str]): """ Function to remove a catalytic event from an enzyme diff --git a/src/PAModelpy/EnzymeSectors.py b/src/PAModelpy/EnzymeSectors.py index 9052c25..ce15a65 100644 --- a/src/PAModelpy/EnzymeSectors.py +++ b/src/PAModelpy/EnzymeSectors.py @@ -166,7 +166,6 @@ def add(self, model): if any([len(gene)>1 for gene in gene_list]): enzyme_obj = EnzymeComplex else: gene_list = [] - enzyme = enzyme_obj( id = enzyme_id, rxn2kcat= {rxn_id: kcat}, @@ -258,15 +257,22 @@ def _get_model_genes_from_enzyme(self, enzyme_id: str, model: Model) -> list: Returns: list: A nested list of gene objects associated with the enzyme. 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associated transcripts. + + Args: + gene (list): List of gene objects to be added + enzymes (list): A list of enzyme instances of class PAModelpy.Enzyme associated with the gene. + gene_lengths (list): A list of lengths corresponding to each gene. + + Returns: + None + + Notes: + - The function creates a transcript for each gene in the `genes` list and adds it to the model. + - If the gene is not already associated with a transcript, a new transcript is created. + - If the gene is not already in the list of genes associated with the enzyme model, + it is added to the list. + - The function also establishes relationships between transcript and enzymes + associated with the genes. + + """ + mrna_sector = self.sectors.get_by_id('ActivemRNASector') + transcript_objects = [] + for gene, length in zip(genes, gene_lengths): + # Add the gene to the gene2transcript in mrna sectir if not already present + if gene.id not in mrna_sector.gene2transcript.keys(): + mrna_sector.gene2transcript[gene] = 'mRNA_' + gene.id + + # Add the gene to the model if not already present + if gene not in self.genes: + self.genes.append(gene) + + # Create the transcript object + gene_object = self.genes.get_by_id(gene.id) + transcript_objects += [Transcript(id='mRNA_' + gene.id, + gene=[gene_object], + enzymes=enzymes, + length=length)] + + # Add the transcripts to the model + for transcript in transcript_objects: + self.add_transcript(transcript, mrna_sector.f_min, mrna_sector.f_max) + + # Establish relationships between the transcript and enzymes + for enzyme in enzymes: + self.add_transcript_enzyme_relations(enzyme) + def add_mrna_sector(self, mrna_sector): print('Add the following mRNA sector: ', mrna_sector.id, '\n') self.sectors.append(mrna_sector) + self.add_total_mrna_constraint(mrna_sector) self.add_transcript_information(mrna_sector.gene2transcript, mrna_sector.f_min, mrna_sector.f_max) - self.add_total_mrna_constraint(mrna_sector) + def add_transcript_information(self, gene2transcript: dict, @@ -157,7 +209,7 @@ def add_transcript_information(self, gene2transcript: dict, self.add_transcript(transcript_object, f_min, f_max) def add_transcript(self, transcript_object: Transcript, - f_min, f_max) -> None: + f_min:float = None, f_max:float = None) -> None: """ Add Transcript object to the model In the model setter method of Transcript, the genes and enzymes related to the transcript will be added @@ -171,6 +223,10 @@ def add_transcript(self, transcript_object: Transcript, f_max: conversion factor between mrna concentration and enzymes. `f_max` determines the largest number of enzymes generated from a single enzyme (in mmol_enzyme/mmol_mrna) """ + mrna_sector = self.sectors.get_by_id('ActivemRNASector') + if f_min is None: f_min = mrna_sector.f_min + if f_max is None: f_max = mrna_sector.f_max + #adjust minimal and maximal protein/transcript ratios based transcript_object.f_min = f_min*pow(transcript_object.length,2)/3*1e6 transcript_object.f_max = f_max*pow(transcript_object.length,2)/3*1e6 @@ -178,6 +234,7 @@ def add_transcript(self, transcript_object: Transcript, # print('adding model to transcript ', transcript_object.id) transcript_object.model = self self.transcripts.append(transcript_object) + self.add_transcripts_to_total_mrna_constraint(transcripts = [transcript_object]) def add_transcript_enzyme_relations(self, enzyme: Union[Enzyme, EnzymeComplex]) -> None: """Adds constraints for mRNA abundance and enzyme concentration relations. @@ -196,8 +253,6 @@ def add_transcript_enzyme_relations(self, enzyme: Union[Enzyme, EnzymeComplex]) transcript_associated_with_enzyme = self.get_transcripts_associated_with_enzyme(enzyme) for relation, transcripts in transcript_associated_with_enzyme.items(): self.make_mrna_min_max_constraint(enzyme, transcripts, relation) - # TODO how to handle other mrna relations? - # add the mRNA relations to the model def add_total_mrna_constraint(self, mrna_sector:ActivemRNASector) -> None: @@ -214,16 +269,21 @@ def add_total_mrna_constraint(self, mrna_sector:ActivemRNASector) -> None: None """ tot_mrna_constraint = self.problem.Constraint(Zero,name=self.TOTAL_MRNA_CONSTRAINT_ID, - lb=0, ub = mrna_sector.intercept) + lb=-1e6, ub = mrna_sector.intercept) self.add_cons_vars(tot_mrna_constraint) constraint_coefficients = {self.reactions.get_by_id(self.BIOMASS_REACTION).forward_variable:-mrna_sector.slope} - for transcript in self.transcripts: + self.constraints[self.TOTAL_MRNA_CONSTRAINT_ID].set_linear_coefficients(constraint_coefficients) + + def add_transcripts_to_total_mrna_constraint(self, transcripts:list): + constraint_coefficients = {} + for transcript in transcripts: coeff = transcript.length*self.MOLMASS_MRNA_NT + # print(transcript.id, coeff) constraint_coefficients = {**constraint_coefficients, - **{transcript.mrna_variable:coeff}} - + **{transcript.mrna_variable:coeff}} self.constraints[self.TOTAL_MRNA_CONSTRAINT_ID].set_linear_coefficients(constraint_coefficients) + self.solver.update() def get_enzymes_by_gene_id(self, gene_id: str) -> DictList: @@ -291,39 +351,49 @@ def make_mrna_min_max_constraint(self, enz: Enzyme, # m.constraints[f'{enz.id}_min'].ub = -lower_bound # else: transcripts_ids = "_".join([transcript.id for transcript in transcripts]) - max_constraint = self.problem.Constraint(Zero, name=f'{transcripts_ids}_{enz.id}_max', lb=0, ub=1e6) - min_constraint = self.problem.Constraint(Zero, name=f'{transcripts_ids}_{enz.id}_min', lb=-1e6, ub=0) - self.add_cons_vars([max_constraint, min_constraint]) + # max_constraint = self.problem.Constraint(Zero, name=f'{transcripts_ids}_{enz.id}_max', lb=0, ub=1e6) #TODO check relationships + # min_constraint = self.problem.Constraint(Zero, name=f'{transcripts_ids}_{enz.id}_min', lb=0, ub=1e6) + if f'{transcripts_ids}_max' not in self.constraints.keys(): + max_constraint = self.problem.Constraint(Zero, name=f'{transcripts_ids}_max', lb=-1e6, + ub=0) # TODO check relationships + min_constraint = self.problem.Constraint(Zero, name=f'{transcripts_ids}_min', lb=-1e6, ub=0) + self.add_cons_vars([max_constraint, min_constraint]) # for key, var in self.variables.iteritems(): # print(key,var) # self.variables[transcript.id] - # setting up the constraints - self.constraints[f'{transcripts_ids}_{enz.id}_max'].set_linear_coefficients({ - fwd_var: -1, - rev_var: -1 + # # setting up the constraints + self.constraints[f'{transcripts_ids}_max'].set_linear_coefficients({ + fwd_var: 1, + rev_var: 1 }) - self.constraints[f'{transcripts_ids}_{enz.id}_min'].set_linear_coefficients({ + self.constraints[f'{transcripts_ids}_min'].set_linear_coefficients({ fwd_var: -1, rev_var: -1 }) - if relation == 'and': - #add auxiliary variable for an and relationship - self.set_mrna_enzyme_minmax_constraint_and_relationship(enz, transcripts, transcripts_ids) for transcript in transcripts: - if relation == 'or': - self.set_mrna_enzyme_minmax_constraint_or_relationship(enz, transcript, transcripts_ids) + self.set_mrna_enzyme_minmax_constraint_or_relation(enz, transcript, transcripts_ids) + if transcript not in enz.transcripts: enz.transcripts.append(transcript) #save the constraints in the transcript object transcript._constraints = {**transcript._constraints, - **{f'{transcripts_ids}_{enz.id}_max':self.constraints[f'{transcripts_ids}_{enz.id}_max'], - f'{transcripts_ids}_{enz.id}_min':self.constraints[f'{transcripts_ids}_{enz.id}_min'] + **{f'{transcripts_ids}_max':self.constraints[f'{transcripts_ids}_max'], + f'{transcripts_ids}_min':self.constraints[f'{transcripts_ids}_min'] }} - - if len(transcripts) == 1: transcripts = transcripts[0] + # transcript.mrna_variable.ub =0 return transcripts + def _create_mrna_minmax_constraints(self, enzyme: Enzyme, transcript_ids: str, + min_variable, max_variable, + f_min: float, f_max: float) -> None: + self.constraints[f'{transcript_ids}_max'].set_linear_coefficients({ + max_variable: -f_max + }) + self.constraints[f'{transcript_ids}_min'].set_linear_coefficients({ + min_variable: f_min + }) + def set_mrna_enzyme_minmax_constraint_and_relation(self, enzyme: Enzyme, transcripts: list, transcript_ids: list) -> None: """Sets constraints and relations for mRNA abundance and enzyme concentration. @@ -376,16 +446,16 @@ def set_mrna_enzyme_minmax_constraint_and_relation(self, enzyme: Enzyme, f'{transcript.id}_{enzyme.id}_max_aux': self.constraints[f'{transcript.id}_{enzyme.id}_max_aux'] }} - #use the auxiliary variables to constrain the enzyme - self.constraints[f'{transcript_ids}_{enzyme.id}_min'].set_linear_coefficients({ - transcript_aux_min_variable: 1 - }) - self.constraints[f'{transcript_ids}_{enzyme.id}_max'].set_linear_coefficients({ - transcript_aux_max_variable: 1 - }) + self._create_mrna_minmax_constraints(enzyme = enzyme, + transcript_ids = transcript_ids, + min_variable= transcript_aux_min_variable, + max_variable = transcript_aux_max_variable, + f_min = 1, + f_max = 1 + ) - def set_mrna_enzyme_minmax_constraint_or_relationship(self, enzyme: Enzyme, - transcript: Transcript, transcript_ids: list): + def set_mrna_enzyme_minmax_constraint_or_relation(self, enzyme: Enzyme, + transcript: Transcript, transcript_id: str): """Sets constraints for mRNA abundance and enzyme concentration based on 'or' relationship. This is in the following format: ``` @@ -396,17 +466,20 @@ def set_mrna_enzyme_minmax_constraint_or_relationship(self, enzyme: Enzyme, Args: enzyme (Enzyme): The enzyme for which constraints are being set. transcript (Transcript): The transcript object. - transcript_ids (list): List of transcript IDs. + transcript_ids (str): the id of the transcript Returns: None """ - self.constraints[f'{transcript_ids}_{enzyme.id}_max'].set_linear_coefficients({ - transcript.mrna_variable: transcript.f_max - }) - self.constraints[f'{transcript_ids}_{enzyme.id}_min'].set_linear_coefficients({ - transcript.mrna_variable: transcript.f_min - }) + self._create_mrna_minmax_constraints(enzyme = enzyme, + transcript_ids = transcript_id, + min_variable= transcript.mrna_variable, + max_variable=transcript.mrna_variable, + f_min = transcript.f_min, + f_max = transcript.f_max + ) + + def get_genes_associated_with_enzyme(self, enzyme: Enzyme) -> dict: """ Retrieve the model associated genes including their relation from the model @@ -436,7 +509,7 @@ def get_genes_associated_with_enzyme(self, enzyme: Enzyme) -> dict: gene_relations_dict['or'] += [gene_list[0]] return gene_relations_dict - def get_transcripts_associated_with_enzyme(self, enzyme: Enzyme) -> dict: + def get_transcripts_associated_with_enzyme(self, enzyme: Enzyme, output: str = 'dict') -> dict: """ Retrieve the model associated transcripts including their relation from the model Goes through all the genes associated with an enzyme and checks if there is an 'and' or 'or' relation @@ -456,14 +529,66 @@ def get_transcripts_associated_with_enzyme(self, enzyme: Enzyme) -> dict: `mrna_relation_dict = {'and':[[mRNA_gene1, mRNA_gene2], [mRNA_gene3, mRNA_gene4]], 'or':[mRNA_gene5]}` """ - mrna_relations_dict = {'and':[], 'or':[]} - # enzyme_complex_id = 0 + if output == 'dict': + return self.get_transcript_enzyme_associations(enzyme) + else: + transcripts = [] + for gene_list in enzyme.genes: + transcripts += [self.transcripts.get_by_id('mRNA_' + gene.id) for gene in gene_list if + 'mRNA_' + gene.id in self.transcripts] + return transcripts + + def get_transcript_enzyme_associations(self, enzyme: Enzyme): + mrna_relations_dict = {'and': [], 'or': []} for gene_list in enzyme.genes: - if len(gene_list)>1: # and relationship - mrna_relations_dict['and'] += [[self.transcripts.get_by_id('mRNA_'+gene) for gene in gene_list if 'mRNA_'+gene in self.transcripts]] + gene_list = [gene.id if isinstance(gene, Gene) else gene for gene in gene_list] + if len(gene_list) > 1: # and + lumped_transcript = self.make_lumped_transcript_for_and_relation(enzyme = enzyme, gene_list=gene_list) + mrna_relations_dict['and'] += [lumped_transcript] + # mrna_relations_dict['and'] += [[self.transcripts.get_by_id('mRNA_' + gene) for gene in gene_list if + # 'mRNA_' + gene in self.transcripts]] elif 'mRNA_' + gene_list[0] in self.transcripts: mrna_relations_dict['or'] += [self.transcripts.get_by_id('mRNA_' + gene_list[0])] - return mrna_relations_dict + + result_dict = mrna_relations_dict.copy() + # delete empty dict entries + for key, value in mrna_relations_dict.items(): + if len(value) == 0: + del result_dict[key] + return result_dict + + def make_lumped_transcript_for_and_relation(self, enzyme:Enzyme, gene_list: list): + transcript_list = [self.transcripts.get_by_id('mRNA_' + gene) for gene in gene_list if + 'mRNA_' + gene in self.transcripts] + new_transcript_length = np.nansum([trans.length for trans in transcript_list]) # need to translate all mRNAs to get enzyme complex + + new_transcript_id = 'mRNA_'+ '_'.join(gene_list) + if new_transcript_id in self.transcripts: + new_transcript = self.transcripts.get_by_id(new_transcript_id) + new_transcript.length = new_transcript_length + for trans in transcript_list: + if new_transcript.id not in trans._lumped_transcripts: + trans._lumped_transcripts.append(new_transcript) + new_transcript._transcripts.append(trans) + if enzyme not in new_transcript.enzymes: new_transcript.enzymes.append(enzyme) + else: + new_transcript = LumpedTranscript(id = new_transcript_id, + gene = [self.genes.get_by_id(gene_id) for gene_id in gene_list], + enzymes = [enzyme], + length = new_transcript_length) + self.add_transcript(new_transcript) + if not new_transcript in enzyme.transcripts: enzyme.transcripts.append(new_transcript) + for trans in transcript_list: + trans._lumped_transcripts.append(new_transcript) + new_transcript._transcripts.append(trans) + # self.remove_transcripts(transcript_list) + return new_transcript + + def remove_transcripts(self, transcripts: list): + for transcript in transcripts: + to_delete = [cons for cons in transcript._constraints.values()] + [transcript.mrna_variable] + self.remove_cons_vars(to_delete) + self.transcripts.remove(transcript) def _gene_is_in_enzyme_complex(self, gene: Union[str, Gene], enzyme: Enzyme) -> bool: if not isinstance(gene, str): gene = gene.id @@ -497,14 +622,15 @@ def calculate_csc(self, obj_value, mu, mu_ub, mu_lb, mu_ec_f, mu_ec_b): Results will be saved in the self.capacity_sensitivity_coefficients attribute as a dataframe """ super().calculate_csc(obj_value, mu, mu_ub, mu_lb, mu_ec_f, mu_ec_b) - constraint = 'mRNA' - rxn_id = self.TOTAL_MRNA_CONSTRAINT_ID - enzyme_id = self.TOTAL_MRNA_CONSTRAINT_ID - ca_coefficient = self.constraints[enzyme_id].ub * \ - mu[mu['index'] == self.TOTAL_MRNA_CONSTRAINT_ID]['shadow_prices'].iloc[0] / obj_value - - new_row = [rxn_id, enzyme_id, constraint, ca_coefficient] - # add new_row to dataframe - self.capacity_sensitivity_coefficients.loc[len(self.capacity_sensitivity_coefficients)] = new_row + if self.TOTAL_MRNA_CONSTRAINT_ID in self.constraints.keys(): + constraint = 'mRNA' + rxn_id = self.TOTAL_MRNA_CONSTRAINT_ID + enzyme_id = self.TOTAL_MRNA_CONSTRAINT_ID + ca_coefficient = self.constraints[enzyme_id].ub * \ + mu[mu['index'] == self.TOTAL_MRNA_CONSTRAINT_ID]['shadow_prices'].iloc[0] / obj_value + + new_row = [rxn_id, enzyme_id, constraint, ca_coefficient] + # add new_row to dataframe + self.capacity_sensitivity_coefficients.loc[len(self.capacity_sensitivity_coefficients)] = new_row #TODO sensitivity analysis for transcripts \ No newline at end of file diff --git a/src/TAModelpy/Transcript.py b/src/TAModelpy/Transcript.py index 2e08543..eda879d 100644 --- a/src/TAModelpy/Transcript.py +++ b/src/TAModelpy/Transcript.py @@ -1,15 +1,16 @@ from cobra import Object, DictList, Gene, Model from optlang import Constraint, Variable from optlang.symbolics import Zero -from typing import Optional +from typing import Optional, Union from src.PAModelpy.Enzyme import Enzyme class Transcript(Object): - def __init__(self, id: str, gene:Gene, enzymes: DictList, length: int): + def __init__(self, id: str, gene:Union[Gene, list], enzymes: DictList, length: int): super().__init__(name = id) + if isinstance(gene, Gene): gene = [gene] self.id = id - self.gene = gene + self.genes = gene self.enzymes = enzymes self.length = length self.mrna_variable = Variable(name = id, lb =0) @@ -17,6 +18,7 @@ def __init__(self, id: str, gene:Gene, enzymes: DictList, length: int): self.f_min = 0.5 self._model = None self._constraints = {} + self._lumped_transcripts = DictList() @property def model(self): @@ -26,11 +28,21 @@ def model(self): def model(self, model): self._model = model self._model.add_cons_vars(self.mrna_variable) - # check if gene is in the model - if not self.gene in model.genes: model.genes.append(self.gene) + # check if genes are in the model + for gene in self.genes: + if not gene in model.genes: model.genes += self.genes # check if enzymes are in the model for enzyme in self.enzymes: if not enzyme in model.enzymes: model.add_enzyme(enzyme) + if not isinstance(self, LumpedTranscript): + transcript_associated_with_enzyme = model.get_transcripts_associated_with_enzyme(enzyme) + for relation, transcripts in transcript_associated_with_enzyme.items(): + model.make_mrna_min_max_constraint(enzyme, transcripts, relation) + else: + model.make_mrna_min_max_constraint(enzyme, [self]) + # print(self.mrna_variable.lb) + # for key, value in self._constraints.items(): + # print(value) def change_concentration(self, concentration:float, error: float = 0) -> None: """ Setting the concentration of an mRNA species @@ -41,6 +53,23 @@ def change_concentration(self, concentration:float, error: float = 0) -> None: :param concentration: :return: """ - self.mrna_variable.ub = concentration+error - self.mrna_variable.lb = concentration-error + if len(self._lumped_transcripts)>0: + # if there is an and relationship, the lumped transcript should be adjusted instead of the individual transcript + for lumped_transcript in self._lumped_transcripts: + if lumped_transcript.mrna_variable.lb > concentration-error: #only if this transcript is the limiting transcript + print(f'changing lumped transcript concentration from {lumped_transcript.mrna_variable.lb} to {concentration-error}') + lumped_transcript.mrna_variable.ub = concentration + error + lumped_transcript.mrna_variable.lb = concentration - error + else: + self.mrna_variable.ub = concentration+error + self.mrna_variable.lb = concentration-error self._model.solver.update() + +class LumpedTranscript(Transcript): + def __init__(self, id: str, gene:Union[Gene, list], enzymes: DictList, length: int): + + super().__init__(id = id, + gene = gene, + enzymes =enzymes, + length = length) + self._transcripts = DictList() \ No newline at end of file diff --git a/src/TAModelpy/mRNASectors.py b/src/TAModelpy/mRNASectors.py index 10c0940..4b08a70 100644 --- a/src/TAModelpy/mRNASectors.py +++ b/src/TAModelpy/mRNASectors.py @@ -44,7 +44,7 @@ def __init__(self, mrnas_0:float =3.59*1e-5, self.gene2transcript = gene2transcript self.elongation_rates = [12,25] #nt/s - self.ribosome_spacing = [40,1000]#nt + self.ribosome_spacing = [1000,40]#nt #minimal and maximal translation factors per aa in the enzyme self.f_min = self.elongation_rates[0]/self.ribosome_spacing[0] self.f_max = self.elongation_rates[1]/self.ribosome_spacing[1] diff --git a/tests/unit_tests/test_tam_generation.py b/tests/unit_tests/test_tam_generation.py index 4125dd3..ab5603f 100644 --- a/tests/unit_tests/test_tam_generation.py +++ b/tests/unit_tests/test_tam_generation.py @@ -28,6 +28,7 @@ def test_set_up_toy_tam_works(): sut = set_up_toy_tam + assert True def test_set_up_ecolicore_tam_works(): sut = set_up_ecolicore_tam() @@ -66,25 +67,40 @@ def test_ecolicore_tam_without_constraints_has_same_result_as_pam(): # Act sut.optimize() ecolicore_pam.optimize() - # for enzyme in ecolicore_pam.enzyme_variables: + # for enzyme in sut.enzyme_variables: # print(enzyme.id, enzyme.flux) + # for transcript in sut.transcripts: + # print(transcript.mrna_variable.primal) + for i,row in sut.capacity_sensitivity_coefficients.iterrows(): + if row.coefficient > 0: print(row) + for i,row in ecolicore_pam.capacity_sensitivity_coefficients.iterrows(): + if row.coefficient > 0: print(row) + for enzyme in sut.enzyme_variables: + try: + if enzyme.concentration != pytest.approx(ecolicore_pam.enzyme_variables.get_by_id(enzyme.id).concentration, rel = 1e-3): + print(enzyme.id, enzyme.concentration, ecolicore_pam.enzyme_variables.get_by_id(enzyme.id).concentration) + except: + print(enzyme.id) + print(sut.constraints[sut.TOTAL_MRNA_CONSTRAINT_ID].primal) + for transcript in sut.transcripts: + for enzyme in transcript.enzymes: + print(enzyme.id, sut.enzyme_variables.get_by_id(enzyme.id).concentration, ecolicore_pam.enzyme_variables.get_by_id(enzyme.id).concentration) + print(transcript.id, transcript.mrna_variable.primal) + for constraint in transcript._constraints.values(): + print(constraint, constraint.dual) # Arrange - assert 'optimal' == ecolicore_pam.solver.status - assert 'optimal' == sut.solver.status assert_solution_pam_equals_tam(ecolicore_pam, sut) - assert ecolicore_pam.objective.value == sut.objective.value + + +############################################################################################################################ +# HELPER FUNCTIONS +############################################################################################################################ def assert_solution_pam_equals_tam(pam, tam): - # for reaction in tam.reactions: - # # print(reaction.id, pam.reactions.get_by_id(reaction.id).flux,reaction.flux) - # # assert pam.reactions.get_by_id(reaction.id).flux == pytest.approx(reaction.flux, rel= 1e-3) - # for enzyme in tam.enzyme_variables: - # if enzyme.id == 'E114': - # print(enzyme.id,enzyme.reactions, pam.enzyme_variables.get_by_id(enzyme.id).flux,enzyme.flux) - - # assert pam.enzymes.get_by_id(enzyme.id).flux == pytest.approx(enzyme.flux, rel= 1e-3) - assert pam.objective.value == tam.objective.value + assert 'optimal' == pam.solver.status + assert 'optimal' == tam.solver.status + assert pam.objective.value == pytest.approx(tam.objective.value, abs=1e-2) diff --git a/tests/unit_tests/test_tamodel.py b/tests/unit_tests/test_tamodel.py index ea60b6e..9156d35 100644 --- a/tests/unit_tests/test_tamodel.py +++ b/tests/unit_tests/test_tamodel.py @@ -1,4 +1,5 @@ import pytest +import numpy as np from cobra.io import load_json_model from cobra import Gene @@ -28,10 +29,10 @@ def test_if_tam_adds_transcript_to_model(): # Arrange sut = build_toy_tam() gene = Gene('test') - sut.enzymes[0].genes.append(gene) + sut.enzymes[0].genes.append([gene]) enzymes = [sut.enzymes[0]] transcript = Transcript(id='test', - gene=gene, + gene=[gene], enzymes=enzymes, length=10) mrna_sector = sut.sectors.get_by_id('ActivemRNASector') @@ -51,7 +52,7 @@ def test_if_tam_makes_mrna_min_max_constraint_correctly(): sut.enzymes[0].genes.append(gene) enzymes = [sut.enzymes[0]] transcript = Transcript(id = 'test', - gene = gene, + gene = [gene], enzymes = enzymes, length = 10) transcript.f_min = sut.f_min @@ -66,9 +67,41 @@ def test_if_tam_makes_mrna_min_max_constraint_correctly(): # Assert assert_correct_min_max_mrna_constraint(sut, transcript, enzymes[0]) +def test_if_enzyme_add_genes_function_add_correct_constraint_to_tamodel(): + # Arrange + sut = build_toy_tam() + enzyme_ut = sut.enzymes[0] + gene_ut = 'test' + gene_length = 10 + + # Act + enzyme_ut.add_genes(gene_ut, gene_length) + transcript = sut.transcripts.get_by_id('mRNA_'+gene_ut) + + # Assert + assert gene_ut in sut.genes + assert len([gene for gene in enzyme_ut.genes if gene[0].id == gene_ut]) == 1 + assert_correct_min_max_mrna_constraint(sut, transcript, enzyme_ut) + +def test_if_tamodel_adds_genes_with_and_relations_to_the_model_correctly(): + # Arrange + sut = build_toy_tam() + enzyme_ut = sut.enzymes[0] + genes_ut = ['test1', 'test2'] + gene_length = [10,11] + + # Act + enzyme_ut.add_genes(genes_ut, gene_length, relation = 'AND') + for trans in sut.transcripts: + for key, value in trans._constraints.items(): print(key, value) + lumped_transcript = sut.transcripts.get_by_id('mRNA_' + '_'.join(genes_ut)) + + # Assert + assert np.sum(gene_length) == lumped_transcript.length + assert_correct_min_max_mrna_constraint(sut, lumped_transcript, enzyme_ut) ############################################################################################################################ -#HELPER FUNCTIONS +# HELPER FUNCTIONS ############################################################################################################################ def build_active_enzyme_sector(Config): n = 9 @@ -121,20 +154,21 @@ def assert_transcript_is_in_model(tamodel, transcript): mrna_sector = tamodel.sectors.get_by_id('ActivemRNASector') assert tamodel == transcript.model assert transcript in tamodel.transcripts - assert mrna_sector.f_min*10**2/3 == transcript.f_min - assert mrna_sector.f_max*10**2/3 == transcript.f_max + # calculating conversion factor, *1e6 to correct for the unit conversion in enzymes (g->mg) + assert mrna_sector.f_min* (transcript.length**2)/3 *1e6 == transcript.f_min + assert mrna_sector.f_max* (transcript.length**2)/3 *1e6 == transcript.f_max def assert_correct_min_max_mrna_constraint(tamodel, transcript, enzyme): - enz_var_f = tamodel.enzyme_variables.get_by_id(enzyme.id).forward_variable - enz_var_b = tamodel.enzyme_variables.get_by_id(enzyme.id).reverse_variable + enz_var_f = enzyme.enzyme_variable.forward_variable + enz_var_b = enzyme.enzyme_variable.reverse_variable - ref_min_constraint = {enz_var_f:-1.0, enz_var_b:-1.0, transcript.mrna_variable:tamodel.f_min} - ref_max_constraint = {enz_var_f:-1.0, enz_var_b:-1.0, transcript.mrna_variable:tamodel.f_max} + ref_min_constraint = {enz_var_f:-1.0, enz_var_b:-1.0, transcript.mrna_variable:transcript.f_min} + ref_max_constraint = {enz_var_f:1.0, enz_var_b:1.0, transcript.mrna_variable:-transcript.f_max} - min_constraint_coeff = tamodel.constraints[f'test_{enzyme.id}_min'].get_linear_coefficients( + min_constraint_coeff = tamodel.constraints[f'{transcript.id}_min'].get_linear_coefficients( [enz_var_f, enz_var_b, transcript.mrna_variable]) - max_constraint_coeff = tamodel.constraints[f'test_{enzyme.id}_max'].get_linear_coefficients( + max_constraint_coeff = tamodel.constraints[f'{transcript.id}_max'].get_linear_coefficients( [enz_var_f, enz_var_b, transcript.mrna_variable]) assert all(v == min_constraint_coeff[k] for k,v in ref_min_constraint.items()) and len(ref_min_constraint) == len(min_constraint_coeff)

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@@ -5,25 +5,48 @@ "execution_count": 1, "id": "2b093cef", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading PAModelpy modules version 0.0.3.4\n", + "Loading PAModelpy modules version 0.0.3.3\n" + ] + } + ], "source": [ "import pandas as pd\n", "import numpy as np\n", "import os\n", "import matplotlib.pyplot as plt\n", - "from scipy.stats import norm, sem, linregress" + "from scipy.stats import norm, sem, linregress\n", + "\n", + "# Get the current working directory\n", + "current_directory = os.getcwd()\n", + "# If required go to repository root\n", + "if os.path.split(current_directory)[1] != 'PAModelpy':\n", + " # Go up one level\n", + " parent_directory = os.path.dirname(current_directory)\n", + " # Change the directory to the parent directory\n", + " os.chdir(parent_directory)\n", + " \n", + "from Scripts.ecolicore_tam_incl_transcript_info import get_transcript_data\n", + "from Scripts.tam_generation import set_up_ecolicore_tam" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 38, "id": "9ef98264", "metadata": {}, "outputs": [], "source": [ - "DATA_PATH = os.path.join(os.path.split(os.getcwd())[0], 'Data')\n", + "DATA_PATH = 'Data'\n", "PARAM_FILE_PATH = os.path.join(DATA_PATH, 'TAModel', 'Balakrishnan-etal_2023_dogma-parameters_tableS6.xlsx')\n", "RNA_FILE_PATH = os.path.join(DATA_PATH, 'TAModel', 'Balakrishnan-etal_2023_mrna-vs-growth_fig2a.xlsx')\n", + "RNA_FILE_PATH_BALAKRISHNAN = os.path.join(DATA_PATH, 'TAModel', 'Balakrishnan-etal_2023_RNAseq_tableS3.xlsx')\n", + "\n", "ECOLI_RIBO_DIAMETER = 26 #nm for Ecoli Zhu et al 1997 DOI:9169230\n", "DIFFUSION_COEFF_CYTOSOL_MIN = 0.4 #microm^2/s (klumpp et al 2013)\n", "DIFFUSION_COEFF_CYTOSOL_MAX = 8 #microm^2/s (klumpp et al 2013)" @@ -135,7 +158,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 8, "id": "a62e2d06", "metadata": {}, "outputs": [ @@ -700,7 +723,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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