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@kaizu
Last active December 21, 2016 09:56
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{
"cells": [
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from ecell4 import *\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pin, pout = 1.0, 1.0\n",
"ka, kd = 1.0, 1.0\n",
"\n",
"with reaction_rules():\n",
" a1 > ~a1_ex | pout\n",
" ~a1_ex > a1 | pin * a1_ex\n",
" a2 > ~a2_ex | pout\n",
" ~a2_ex > a2 | pin * a2_ex\n",
" a1 + X == a1_X | (ka, kd)\n",
" a2 + Y == a2_Y | (ka, kd)\n",
" X + Y == XY | (ka, kd)\n",
"\n",
"m = get_model()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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KDJF8SM9M5/WFr/PsnGcxxvDSlS9xX+v7CA8N9zqaiEjAUpEhchqzN8zm3m/u5Y/df3BP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\nwpIhSZJK8b90jjm67Y/nEAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff8b1004d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"run_simulation(10.0, model=m, y0={'X': 10.0, 'Y': 10.0, 'a1_ex': 10.0}, species_list=['XY', 'a1_ex', 'a1'])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def run(y0):\n",
" return run_simulation(30.0, model=m, y0=y0, species_list=['XY'], return_type='array')[-1][1]"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7.298437881283574\n",
"3.657280719698653\n",
"3.6572807196986505\n",
"1.8466094504523511\n"
]
}
],
"source": [
"print(run({'X': 10.0, 'Y': 10.0}))\n",
"print(run({'X': 10.0, 'Y': 10.0, 'a1_ex': 10.0}))\n",
"print(run({'X': 10.0, 'Y': 10.0, 'a2_ex': 10.0}))\n",
"print(run({'X': 10.0, 'Y': 10.0, 'a1_ex': 5.0, 'a2_ex': 5.0}))"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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L8m43uO5gcnjkILLoQIKCoGtXOHnS2VGJiEhScXFxoUmTJsydO5cjR47EHY+IiGDZsmVx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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff8b0eda6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pylab as plt\n",
"x = np.linspace(0.0, 20.0, 51)\n",
"plt.plot(x, [run({'X': 10.0, 'Y': 10.0, 'a1_ex': xi}) for xi in x], label='single')\n",
"# plt.plot(x, [run({'x': 10.0, 'y': 10.0, 'a2': xi}) for xi in x])\n",
"plt.plot(x, [run({'X': 10.0, 'Y': 10.0, 'a1_ex': xi * 0.5, 'a2_ex': xi * 0.5}) for xi in x], label='double')\n",
"plt.legend(loc='best')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def run2(y0):\n",
" data = run_simulation(30.0, model=m, y0=y0, species_list=['a1', 'a1_X', 'a2', 'a2_Y'], return_type='array')[-1]\n",
" return sum(data[1: ])\n",
" # return data[1] + data[3]"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Vq8HTE+rUgcGD4Y03IL7D35EVCEQk1gg34SwIXEDftX3ZcXoHZbKWYVmzZbz5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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff8b0f46438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pylab as plt\n",
"x = np.linspace(0.0, 20.0, 51)\n",
"plt.plot(x, [run2({'X': 10.0, 'Y': 10.0, 'a1_ex': xi}) for xi in x], label='single')\n",
"# plt.plot(x, [run({'x': 10.0, 'y': 10.0, 'a2': xi}) for xi in x])\n",
"plt.plot(x, [run2({'X': 10.0, 'Y': 10.0, 'a1_ex': xi * 0.5, 'a2_ex': xi * 0.5}) for xi in x], label='double')\n",
"plt.legend(loc='best')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with reaction_rules():\n",
" X + ~a1 == a1_X | (ka * a1 * X, kd)\n",
" Y + ~a2 == a2_Y | (ka * a2 * Y, kd)\n",
" # X + ~a2 == a2_X | (ka * a2 * X, kd)\n",
" X + Y == XY | (ka, kd)\n",
"\n",
"m = get_model()"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with reaction_rules():\n",
" X + ~a1 == a1_X | (ka * a1 * X, kd)\n",
" Y + ~a2 == a2_Y | (ka * a2 * Y, kd)\n",
" # X + ~a2 == a2_X | (ka * a2 * X, kd)\n",
" # a2_X + ~a1 == a1_a2_X | (ka * a1 * a2_X, kd)\n",
" # a1_X + ~a2 == a1_a2_X | (ka * a2 * a1_X, kd)\n",
" X + Y == XY | (ka, kd)\n",
"\n",
"m = get_model()"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def run3(y0):\n",
" return run_simulation(30.0, model=m, y0=y0, species_list=['XY'], return_type='array')[-1][1]"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Pz3SSJFiJRVlY1noZ/9z7B78tfrFfMGOG/qnfoAE88x9oVLJlg7Fj9aoHIYQQ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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff8b11e0cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pylab as plt\n",
"x = np.linspace(0.0, 20.0, 51)\n",
"phi = run({'X': 10.0, 'Y': 10.0})\n",
"plt.plot(x, [run({'X': 10.0, 'Y': 10.0, 'a1': xi * pin / pout}) / phi for xi in x], '--', label='single')\n",
"plt.plot(x, [run({'X': 10.0, 'Y': 10.0, 'a1': xi * pin / pout * 0.5, 'a2': xi * pin / pout * 0.5}) / phi for xi in x], label='double')\n",
"plt.plot(x, [run({'X': 10.0, 'Y': 10.0, 'a1': xi * pin / pout * 0.5}) / phi * run({'X': 10.0, 'Y': 10.0, 'a2': xi * pin / pout * 0.5}) / phi for xi in x], '--', label='exp')\n",
"plt.legend(loc='best')\n",
"plt.show()"
]
},
{
"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": "3.5.2"
},
"widgets": {
"state": {},
"version": "1.1.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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