{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Working with arrays of Compartments\n", "COPASI allows working with arrays of compartments, that is taking a model that is set up, and multiplying it either in a linear chain, or in an rectangular array. This example shows how to do that using basico. We start with the usual imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from basico import * " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "now we import the brusselator example model" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dm = load_example('brusselator')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and obviouslky, we can run time courses just as usual: " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = run_time_course()\n", "data.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For initialization it is useful, to add events to the model. The parameters are: \n", "\n", "* name\n", "* trigger expression\n", "* array of arrays for assignments, with the inner array containing a target, and an expression what to assign. \n", "\n", "for example the following would add an event `e2` that triggers at time 10, and assigns 10 to `X`" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "add_event('e0', 'Time > 30', [['X', '10']]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "to display what events we have use `get_events()`" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
triggerdelayassignmentskeysbml_id
name
e0Time > 30[{'target': '[X]', 'expression': '10'}]Event_0
\n", "
" ], "text/plain": [ " trigger delay assignments key \\\n", "name \n", "e0 Time > 30 [{'target': '[X]', 'expression': '10'}] Event_0 \n", "\n", " sbml_id \n", "name \n", "e0 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "get_events()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "so running the time course again, we do see that at time 30, the event is triggered: " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "run_time_course().plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear arrays of compartments\n", "now lets run this model in a linear chain of 15 cells, allowing the species X and Y to diffuse linearly between them, with diffusion coefficients 0.16 and 0.08 respectively. We also remove the existing compartment afterwards, as it will not be part of the linear chain: " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "create_linear_array(15, ['X', 'Y'], [0.16, 0.8], delete_template=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "now we have many more species, compartments, and reactions, all parameterized exactly as the template model was" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Name: The Brusselator\n", "# Compartments: 15\n", "# Species: 90# Parameters: 2# Reactions: 88# Events: 1\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
compartmenttypeunitinitial_concentrationinitial_particle_numberinitial_expressionexpressionconcentrationparticle_numberrateparticle_number_ratekeysbml_id
name
Xcompartment[0]reactionsmmol/ml2.9999961.806640e+21NaNNaN0.00.0Metabolite_6
Ecompartment[0]fixedmmol/ml0.0000000.000000e+00NaNNaN0.00.0Metabolite_7
Bcompartment[0]fixedmmol/ml2.9999961.806640e+21NaNNaN0.00.0Metabolite_8
Dcompartment[0]fixedmmol/ml0.0000000.000000e+00NaNNaN0.00.0Metabolite_9
Ycompartment[0]reactionsmmol/ml2.9999961.806640e+21NaNNaN0.00.0Metabolite_10
\n", "
" ], "text/plain": [ " compartment type unit initial_concentration \\\n", "name \n", "X compartment[0] reactions mmol/ml 2.999996 \n", "E compartment[0] fixed mmol/ml 0.000000 \n", "B compartment[0] fixed mmol/ml 2.999996 \n", "D compartment[0] fixed mmol/ml 0.000000 \n", "Y compartment[0] reactions mmol/ml 2.999996 \n", "\n", " initial_particle_number initial_expression expression concentration \\\n", "name \n", "X 1.806640e+21 NaN \n", "E 0.000000e+00 NaN \n", "B 1.806640e+21 NaN \n", "D 0.000000e+00 NaN \n", "Y 1.806640e+21 NaN \n", "\n", " particle_number rate particle_number_rate key sbml_id \n", "name \n", "X NaN 0.0 0.0 Metabolite_6 \n", "E NaN 0.0 0.0 Metabolite_7 \n", "B NaN 0.0 0.0 Metabolite_8 \n", "D NaN 0.0 0.0 Metabolite_9 \n", "Y NaN 0.0 0.0 Metabolite_10 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(overview())\n", "get_species().head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "lets simulate again: " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = run_time_course()\n", "data.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seeing all these lines plotted over each other might not be too helpful, so we can also plot this as a clor mesh, with the time on the x axis, and the individal created compartments along the y axis. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_linear_time_course(data, 'compartment');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating 2D array of compartments\n", "the same can be done by createing a rectangular array of compartments. Note that this results in quickly getting large amounts of model variables, so it might prove prohibitive to be used in numbers. So i'll start over, loading the model again (as i don't want the linear chain anymore)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "dm = load_example('brusselator')\n", "create_rectangular_array(15, 15, ['X', 'Y'], [0.16, 0.8], delete_template=True)\n", "print(overview())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lots of variables indeed. So simulation will take a bit longer. But before we come to that, i would like to change the concentration of X at time 10 of the simulation, just so that we don't just use uniform values (that would be boring to look at. So i add the events as before: " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "add_event('change_x', 'Time > 10', [['X{compartment[2,2]}', '10'], \n", " ['X{compartment[2,3]}', '10'], \n", " ['X{compartment[3,2]}', '10'], \n", " ['X{compartment[3,3]}', '10']\n", " ])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "data = run_time_course(duration=100, start_time=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "plotting all times of the time course might not be too interesting, so instead i select plots only at specific times. I also override the min / max scaling of the plots, to the range between 0 and 10, if those are not given the data will be scaled to each min / max value. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "plot_rectangular_time_course(data, times=[10.5, 30 , 60, 90], min_range=0, max_range=10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To display it as animation we'll need an extra import, and you'll need to have ffmpeg installed" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from IPython.display import HTML\n", "HTML(animate_rectangular_time_course(data, metab='Y', min_range=0, max_range=10).to_html5_video())" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 2 }