{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook shows a possible way to combine formal prediction of mutation performed by Pint with the quantiative evaluation of attractors reachability with MaBoSS.\n", "\n", "A detailed use case of such an analysis can be found in the notebook \"[Usecase - Mutations enabling tumour invasion](https://nbviewer.jupyter.org/github/colomoto/colomoto-docker/blob/master/usecases/Usecase%20-%20Mutations%20enabling%20tumour%20invasion.ipynb)\".\n", "\n", "## Model\n", "\n", "We load a model of cell fate decision model from CellCollective using bioLQM:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import biolqm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Downloading 'http://api.cellcollective.org/model/export/5884?type=SBML'" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lqm = biolqm.load(\"https://cellcollective.org/#5884/tumour-cell-invasion-and-migration\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wild-type simulation with MaBoSS\n", "\n", "We convert the model to MaBoSS, and configure the simulation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import maboss" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wt_sim = biolqm.to_maboss(lqm)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wt_sim.network.set_output(('Metastasis', 'Migration', 'Invasion', 'Apoptosis', 'CellCycleArrest'))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wt_sim.network.set_istate(\"ECM\", [0, 1]) # ECM is active\n", "wt_sim.network.set_istate(\"DNAdamage\", [0.5, 0.5]) # DNAdamage can start either active or inactive" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wt_sim.update_parameters(max_time=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We perform the simulation with MaBoSS, this can take several seconds." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wt_res = wt_sim.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the distribution of attractors at the end of the simulations:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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p91Fy93bucGnqcuu2c2Nn+A70LbyjD4AwAAeEEMcARAJoAyAdwE0A7wshxqEK0z7KMRHA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\ntWi56gD13ahRo9JeeumlVtO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CIYSQq1atugwA7u7ut71fit6WUmLAgAHpn3/++W/Fn+/Y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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wt_res.plot_piechart()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mutation prediction with Pint\n", "\n", "Now, we use Pint to predict mutations which remove any possible activation of apoptosis." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/markdown": [ "You are using Pint version 2017-12-19 and pypint 1.4.0" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pypint" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "m = biolqm.to_pint(lqm)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "m.initial_state[\"ECM\"] = 1\n", "m.initial_state[\"DNAdamage\"] = {0,1}" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "This computation is an *under-approximation*: returned mutations are all valid, but they may be non-minimal, and some solutions may be missed." ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Limiting solutions to mutations of at most 5 automata. Use `maxsize` argument to change." ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "[{'AKT1': 1},\n", " {'ERK': 1},\n", " {'ZEB2': 1},\n", " {'AKT2': 1},\n", " {'SNAI2': 1, 'miR203': 1, 'p73': 0},\n", " {'SNAI2': 1, 'ZEB1': 1, 'miR203': 1},\n", " {'miR203': 1, 'p53': 0, 'p73': 0},\n", " {'ZEB1': 1, 'miR203': 1, 'p53': 0},\n", " {'NICD': 1, 'SNAI2': 1, 'p73': 0},\n", " {'NICD': 1, 'SNAI2': 1, 'ZEB1': 1},\n", " {'SNAI2': 1, 'p63': 0, 'p73': 0},\n", " {'SNAI2': 1, 'ZEB1': 1, 'p63': 0},\n", " {'NICD': 1, 'p53': 0, 'p73': 0},\n", " {'NICD': 1, 'ZEB1': 1, 'p53': 0},\n", " {'p53': 0, 'p63': 0, 'p73': 0},\n", " {'ZEB1': 1, 'p53': 0, 'p63': 0}]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mutants = m.oneshot_mutations_for_cut(\"Apoptosis=1\", exclude={\"ECM\", \"DNAdamage\"})\n", "mutants" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each returned solution gives a combination of mutations which are guaranteed to remove the capability to activate apoptosis, even transiently." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Collecting experiments\n", "\n", "Among the results returned by Pint, we want to try any potential double-mutant that may be sufficient to remove the reachability of a *stable* apoptosis.\n", "\n", "We use Python standard library functions to compute all the couple of mutations in each predicted mutations, and then merge these couples in a single set of candidate double-mutants." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from itertools import combinations\n", "from functools import reduce" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{(('NICD', 1), ('ZEB1', 1)),\n", " (('NICD', 1), ('p53', 0)),\n", " (('NICD', 1), ('p73', 0)),\n", " (('SNAI2', 1), ('NICD', 1)),\n", " (('SNAI2', 1), ('ZEB1', 1)),\n", " (('SNAI2', 1), ('p63', 0)),\n", " (('SNAI2', 1), ('p73', 0)),\n", " (('ZEB1', 1), ('p63', 0)),\n", " (('miR203', 1), ('SNAI2', 1)),\n", " (('miR203', 1), ('ZEB1', 1)),\n", " (('miR203', 1), ('p53', 0)),\n", " (('miR203', 1), ('p73', 0)),\n", " (('p53', 0), ('ZEB1', 1)),\n", " (('p53', 0), ('p63', 0)),\n", " (('p53', 0), ('p73', 0)),\n", " (('p73', 0), ('p63', 0))}" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mutant_combinations = [combinations(m.items(), 2) for m in mutants if len(m) >= 2]\n", "candidates = reduce(set.union, mutant_combinations, set())\n", "candidates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Double-mutant experiments with MaBoSS\n", "\n", "For each candidate double-mutant, we copy the MaBoSS wild-type model, apply the corresponding mutation and run the simulations. As there are 16 candidates to evaluate, the overall execution can take several minutes." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt # for customizing the plots" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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Rt2Ixcz2OlpG3SzUZlGtkhyAi8kYsZq5k1OsA3CU7BlELmCI7ABGRN2Ixc60hAKJlhyBq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\no8FgSMnMzPSbP39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0CmlXLCi3AEGe4obn3tZFieNXrDida0W5RcLq5AqMib7eUFphkfB/+8sx/y5X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\nk6MAbF21VWMLw8PDKzp27Fi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j5MiR3QoKClJ//vOf7/j444/TAPx+f8KyZcvSLr300gOjPPv37zc1rWPJkiWp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\nLwHIwvti9U5Ae6BdtZ9QR9n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FBb6jRo1KSEtLM6SlpRnWr18fcr51LVy4sMvLL7/8a1RUlAUAOnToYL7vvvtO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\n2+R6TgH4u+wQRETehvuYyaA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qqafuqTidNGnSpOZvv/12E4AtW7Yk5ubm1m/RosWe6tb90UcfNRo2bNiOhIQE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\nERGJMSpmUrMcX0PgYryC1gP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0IKYOHYiHBvWDt5cn4iPaIa+4BACQNexa/FpQiIrqGpRUVOK3wmJnKWW1pmZnpF8hOwQR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\nMSUlJXH16tWBja3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DL1ROnqMLgBtkhyAi8mQsZu1FVXwA3CE7BpGDzZAdgIjIk7GYtZ9rAXSWHYLIwYblZmel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\nEZSSkpKanJyc8sUXX4Se6xi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zJe2Bo562deAN2pqgsIoabwCodcXJzyayiUIH1RUnXye4ReiXSRe7ieES4gJN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\nIyhpE0IIITbi/wHEPy/Ee35q5wAAAABJRU5ErkJggg==\n", 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UZkpbMSrjHPl8phzT9u5ut1gsuP7660fOmzfv5IcffngQALZu3Rp09OhRv1Gj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\n", 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EAA8//HDUjBkzWj3zzDMnXn755bYrV67cHR0dXV1UVOQTEBCgPfXUUwUbNmwI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\n/v37/bt3756YkZHR6euvvw5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0mo9oXmevwUHtAbwkOwQRUUPEYlbfFF04gKdkx6Br49PGB4WphQCAgl8KUJFbUeNyOR/m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\nR2U2ZIppG4BuAB6E9bI+JMcpADMBxLG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3e9/Idrdt2+bz2Wef3fDVMRpqP33++eeB8fHxMR07doyLiIiIe+SRR64493Ph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\nJkzIa926dUX1J1rDwsJMCxc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for mutant in sorted(candidates):\n", " mut_sim = wt_sim.copy()\n", " for (node, value) in mutant:\n", " mut_sim.mutate(node, \"ON\" if value else \"OFF\")\n", " mut_res = mut_sim.run()\n", " mut_res.plot_piechart(embed_labels=False, autopct=4)\n", " mutant_name = \"/\".join([\"%s:%s\"%m for m in mutant])\n", " plt.title(\"%s mutant\" % mutant_name)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }