262 lines
168 KiB
Plaintext
262 lines
168 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 25,
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"from random import random"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 26,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# 6.1.3 \n",
|
|
"\n",
|
|
"M = 0\n",
|
|
"P = 0\n",
|
|
"steps = 1000\n",
|
|
"\n",
|
|
"Omega = .02\n",
|
|
"omega = .1\n",
|
|
"gamma_m = .01\n",
|
|
"gamma_p = .002\n",
|
|
"\n",
|
|
"P_history = np.zeros(steps)\n",
|
|
"M_history = np.zeros(steps)\n",
|
|
"time = np.zeros(steps)\n",
|
|
"\n",
|
|
"\n",
|
|
"for n in range(0,steps):\n",
|
|
"\n",
|
|
" t = np.zeros(4)\n",
|
|
" t[0] = - 1 / Omega * np.log(random())\n",
|
|
" \n",
|
|
" if M > 0:\n",
|
|
" t[1] = - 1 / (omega * M) * np.log(random())\n",
|
|
" t[2] = - 1 / (gamma_m * M) * np.log(random())\n",
|
|
" else:\n",
|
|
" t[1] = np.inf\n",
|
|
" t[2] = np.inf\n",
|
|
" \n",
|
|
" if P > 0:\n",
|
|
" t[3] = - 1 / (gamma_p * P) * np.log(random())\n",
|
|
" else:\n",
|
|
" t[3] = np.inf\n",
|
|
"\n",
|
|
"\n",
|
|
" min = np.argmin(t)\n",
|
|
"\n",
|
|
" if min == 0:\n",
|
|
" M += 1 \n",
|
|
" elif min == 1:\n",
|
|
" P += 1\n",
|
|
" elif min == 2:\n",
|
|
" M -= 1\n",
|
|
" elif min == 3:\n",
|
|
" P -= 1\n",
|
|
"\n",
|
|
" if n == 0:\n",
|
|
" time[n] = 0\n",
|
|
" else:\n",
|
|
" time[n] = time[n-1] + t[min]\n",
|
|
" P_history[n] = P\n",
|
|
" M_history[n] = M\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.title(\"Protein and mRNA production / decay\")\n",
|
|
"plt.plot(time, M_history, label=\"mRNA\")\n",
|
|
"plt.plot(time, P_history, label=\"proteins\")\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# 6.1.4\n",
|
|
"\n",
|
|
"u = 0\n",
|
|
"v = 0\n",
|
|
"steps = 10000\n",
|
|
"\n",
|
|
"a = 10\n",
|
|
"b = 10\n",
|
|
"\n",
|
|
"u_history = np.zeros(steps)\n",
|
|
"v_history = np.zeros(steps)\n",
|
|
"time = np.zeros(steps)\n",
|
|
"\n",
|
|
"\n",
|
|
"for n in range(0,steps):\n",
|
|
"\n",
|
|
" t = np.zeros(4)\n",
|
|
" t[0] = - 1 / (a / (1 + v**2)) * np.log(random())\n",
|
|
" t[1] = - 1 / (b / (1 + u**2)) * np.log(random())\n",
|
|
" if u > 0:\n",
|
|
" t[2] = - 1 / (u) * np.log(random())\n",
|
|
" else:\n",
|
|
" t[2] = np.inf\n",
|
|
" if v > 0:\n",
|
|
" t[3] = - 1 / (v) * np.log(random())\n",
|
|
" else:\n",
|
|
" t[3] = np.inf\n",
|
|
"\n",
|
|
" min = np.argmin(t)\n",
|
|
"\n",
|
|
" if min == 0:\n",
|
|
" u += 1 \n",
|
|
" elif min == 1:\n",
|
|
" v += 1\n",
|
|
" elif min == 2:\n",
|
|
" u -= 1\n",
|
|
" elif min == 3:\n",
|
|
" v -= 1\n",
|
|
" \n",
|
|
" if n == 0:\n",
|
|
" time[n] = 0\n",
|
|
" else:\n",
|
|
" time[n] = time[n-1] + t[min]\n",
|
|
" u_history[n] = u\n",
|
|
" v_history[n] = v\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.title(\"Toggle switch\")\n",
|
|
"plt.plot(time, u_history, label=\"u\")\n",
|
|
"plt.plot(time, v_history, label=\"v\")\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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]
|
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
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],
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"source": [
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"# 6.2.2\n",
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"\n",
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"C1 = 0\n",
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"Cro = 0\n",
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"steps = 100000\n",
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"\n",
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"delta_prod = .1\n",
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"delta_decay = .01\n",
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"\n",
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"time = np.zeros(steps)\n",
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"C1_history = np.zeros(steps)\n",
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"Cro_history = np.zeros(steps)\n",
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"\n",
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"for n in range(0,steps):\n",
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"\n",
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" t = np.zeros(4)\n",
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" t[0] = - 1 / ( (.1 + (C1 / .2)**2) / (delta_prod * (1 + (C1 / .2)**2)*(1 + (Cro / .5)**2)) ) * np.log(random())\n",
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" t[1] = - 1 / ( 1 / (delta_prod * (1 + (C1 / .2)**2))) * np.log(random())\n",
|
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" if C1 > 0:\n",
|
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" t[2] = - 1 / (C1 / delta_decay) * np.log(random())\n",
|
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" else:\n",
|
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" t[2] = np.inf\n",
|
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" if Cro > 0:\n",
|
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" t[3] = - 1 / (Cro / delta_decay) * np.log(random())\n",
|
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" else:\n",
|
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" t[3] = np.inf\n",
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"\n",
|
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" min = np.argmin(t)\n",
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"\n",
|
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" if min == 0:\n",
|
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" C1 += delta_prod \n",
|
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" elif min == 1:\n",
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" Cro += delta_prod\n",
|
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" elif min == 2:\n",
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" C1 -= delta_decay \n",
|
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" elif min == 3:\n",
|
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" Cro -= delta_decay \n",
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" \n",
|
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" if n == 0:\n",
|
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" time[n] = 0\n",
|
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" else:\n",
|
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" time[n] = time[n-1] + t[min]\n",
|
|
" C1_history[n] = C1\n",
|
|
" Cro_history[n] = Cro\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.title(\"CI and Cro\")\n",
|
|
"plt.plot(time, C1_history, label=\"CI\")\n",
|
|
"plt.plot(time, Cro_history, label=\"Cro\")\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
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|
"kernelspec": {
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"display_name": "venv",
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"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
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"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
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|
},
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"file_extension": ".py",
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"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
|
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"version": "3.8.10"
|
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}
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},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
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}
|