{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Welcome to E-Cell4 in Jupyter Notebook!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quick Start\n", "\n", "### Binding and unbinding reactions\n", "\n", "Here is an extremely simple example with a reversible binding reaction:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "code_folding": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from ecell4.prelude import *\n", "\n", "with reaction_rules():\n", " A + B == C | (0.01, 0.3)\n", "\n", "run_simulation(10, {'A': 60, 'B': 60})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Diffusion on a spherical surface" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from ecell4.prelude import *\n", "\n", "with species_attributes():\n", " M | {'dimension': 2}\n", " A | {'D': 1.0, 'location': 'M'}\n", "\n", "surface = Sphere(ones() * 0.5, 0.49).surface()\n", "obs = FixedIntervalTrajectoryObserver(4e-3)\n", "run_simulation(\n", " 0.4, y0={'A': 10}, structures={'M': surface},\n", " solver='spatiocyte', observers=obs)\n", "\n", "show(obs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotly\n", "\n", "Interactive visualizations by Plotly are also available. This part might not works on Google Colab. 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ret.plot(backend='plotly')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "with species_attributes():\n", " M | {'dimension': 2}\n", " A | {'D': 1.0, 'location': 'M'}\n", "\n", "ret = run_simulation(\n", " 0.4,\n", " y0={'A': 10},\n", " structures={'M': Sphere(ones() * 0.5, 0.49).surface()},\n", " solver='spatiocyte',\n", " observers=FixedIntervalTrajectoryObserver(1e-3))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "marker": { "line": { "color": "rgb(204, 204, 204)", "width": 1 }, "opacity": 0.9, "size": 6, "symbol": "circle" }, "mode": "markers", "name": "M", "type": "scatter3d", 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