{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Drosophila Circadian Clock\n", "\n", "This is a model of the oscillating Drosophila period protein(PER). This model is based on the model introduced in the following publication.\n", "\n", "* A. Goldbeter, \"A model for circadian oscillations in the Drosophila period protein(PER)\", Proc R Soc Lond B Biol Sci, Vol.261:319-324, Sep 1995." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "from ecell4 import *\n", "util.decorator.ENABLE_RATELAW = True" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with reaction_rules():\n", " ~M > M | 0.76 / (1 + Pn ** 3)\n", " M > ~M | 0.65 * M / (0.5 + M)\n", " ~P0 > P0 | 0.38 * M\n", " P0 == P1 | (3.2 * P0 / (2 + P0), 1.58 * P1 / (2 + P1))\n", " P1 == P2 | (5 * P1 / (2 + P1), 2.5 * P2 / (2 + P2))\n", " P2 == Pn | (1.9, 1.3)\n", " P2 > ~P2 | 0.95 * P2 / (0.2 + P2)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "y0 = {\"M\": 3.61328202E-01, \"Pn\": 6.21367E-01, \"P0\": 3.01106835E-01, \"P1\": 3.01106835E-01, \"P2\": 3.61328202E-01}\n", "obs = run_simulation(numpy.linspace(0, 100, 400), y0, return_type='observer')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ssQkONn+ndEMO6S6MsfcYYxcBfAQgEkB3ItpqMOn0JCGBt5C0szPsuuWKciwP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# viz.plot_number_observer(obs, interactive=True)\n", "viz.plot_number_observer(obs)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wV1gCPImkqrNvX05Sxq1b+fmcObxlp4rMTKLff2fD8YYN5U+yt327Gobmag40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\nYDAYDIYI/w/vjX6SPYphgAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# viz.plot_number_observer(obs, x=\"Pn\", y=(\"M\", \"P0\", \"P1\", \"P2\"), interactive=True)\n", "viz.plot_number_observer(obs, x=\"Pn\", y=(\"M\", \"P0\", \"P1\", \"P2\"))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }