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@cdw
Last active January 24, 2020 00:40
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Cell cycle for c6
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Adding cell cycle to c6\n",
"\n",
"As of the start of this file, the cells in c6 don't change size. Let's work on adding growth and division to their attributes. It [looks like](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5414177/?report=classic) a sigmodial size curve on a per-cell basis (logistic growth) is going to be the winner. Let's look at some functions that can achieve that. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set_context('talk')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def growth(size, growth_rate, growth_var=None, \n",
" min_size=1, max_size=2, min_growth=0.01):\n",
" # Benavides growth: within size, grow, out of size, the law\n",
" if size < min_size or size > max_size:\n",
" return size + min_growth\n",
" # Allow variability in growth rates\n",
" if growth_var is not None:\n",
" growth_rate *= np.random.normal(1.0, growth_rate*growth_var)\n",
" change = growth_rate * (size - min_size) * (\n",
" 1 - (size - min_size) / (max_size - min_size))\n",
" change = np.clip(change, min_growth, np.inf)\n",
" return size + change"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Assuming that is what we want to use, let's look at the path through growth a cell would take, starting at the minimal size and going to the maximal size, with various growth rates."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"growth_rates = [0.5, 0.75, 1.0]\n",
"cell_sizes = []\n",
"for g in growth_rates:\n",
" size = [1]\n",
" while size[-1]<2:\n",
" size.append(growth(size[-1], g))\n",
" cell_sizes.append(size)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(6, 4))\n",
"for s, g in zip(cell_sizes, growth_rates):\n",
" ax.plot(s, label=g)\n",
"ax.legend(title=\"Growth rate\")\n",
"ax.set(ylabel='Size', xlabel='Timestep');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nice, and what about when we start to add noise to the growth rates?"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"noise_levels = [0.0, 1, 2, 4]\n",
"traces = []\n",
"for noise in noise_levels:\n",
" for cell_id in range(10):\n",
" timestep = 0\n",
" cell_size = 1\n",
" while cell_size < 2:\n",
" traces.append(dict(noise=noise, id=cell_id, \n",
" timestep=timestep, cell_size=cell_size))\n",
" cell_size = growth(cell_size, 0.5, noise)\n",
" timestep += 1\n",
"\n",
"df = pd.DataFrame(traces)\n",
"fg = sns.relplot(x='timestep', y='cell_size', col='noise', col_wrap=2,\n",
" units='id', data=df, kind='line', estimator=None)\n",
"fg.set_xlabels(\"Timesteps\")\n",
"fg.set_ylabels(\"Cell size\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, so something between 0 and 1 (def less than 2) is desireable. Let's integrate this into the `Cell` class."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:bench]",
"language": "python",
"name": "conda-env-bench-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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