Trajectories2D.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from ecell4 import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with species_attributes():\n",
    "    A | {'D': '1', 'radius': '0.005'}\n",
    "\n",
    "m = get_model()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "w = spatiocyte.SpatiocyteWorld(ones() * 0.5, 0.005)\n",
    "w.bind_to(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "w.add_molecules(Species('A'), 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sim = spatiocyte.SpatiocyteSimulator(w)\n",
    "obs = FixedIntervalTrajectoryObserver(1e-4)\n",
    "sim.run(5e-2, obs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6bAYtwWiCpDzY63u9tps3antOaxwAjrgCBGMJJEliavZSjvS/RUKOopa0QGrh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FjCxFsbtuAdtZFTkcJAQEPfoR3U97hZW5lDdYuV6q17yEwKc/G5ZTy5I53R9lrawxLNRUrDpLa6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\nCMI9x0f5jeHHc98BsD5mLUN8hjJ527Mo1UrWDFuvi10YK4z5Z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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff6c412ef98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "viz.plot_trajectory2d_with_matplotlib(obs, 'yz', max_count=None, legend=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "    </video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "viz.plot_movie_of_trajectory2d_with_matplotlib(\n",
    "    obs, 'yz', max_count=None, legend=False, interval=0.02)"
   ]
  },
  {
   "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": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}