{ "cells": [ { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy.integrate import odeint\n", "import seaborn as sns\n", "\n", "from rakott.mpl import legend_out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cross-feeding\n", "\n", "$$\n", "\\frac{d}{d t} N_{i}(t)=\\left[\\frac{r_{1, i} R_1(t)}{k_{1, i}+R_1(t)}+\\frac{r_{2, i} R_2(t)}{k_{2, i}+R_2(t)}\\right] N_{i}(t) \\\\\\\\\n", "\\frac{d}{d t} R_1(t)=-\\sum_{i=1}^{2} \\frac{1}{y_{1, i}} \\frac{r_{1, i} R_1(t)}{k_{1, i}+R_1(t)} N_{i}(t) \\\\\\\\\n", "\\frac{d}{d t} R_2(t)=\\sum_{i=1}^{2}\\left[h_{i} \\frac{r_{1, i} R_1(t)}{k_{1, i}+R_1(t)}-\\frac{1}{y_{2, i}} \\frac{r_{2, i} R_2(t)}{k_{2, i}+R_2(t)}\\right] N_{i}(t)\n", "$$\n", "\n", "- $r_{1,i}$ and $r_{2,i}$ are the maximum growth rates of type $i$ on, say, glucose and acetate, respectively\n", "- $k_{1,i}$ and $k_{2,i}$ are the resource concentrations that permit growth at half-maximum rate\n", "- $y_{1,i}$ and $y_{2,i}$ are the population yields from each unit of glucose and acetate\n", "- $h_i$ is the number of units of acetate produced for each unit increment of $N_i$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def ribeck_ode(x, t, K, r, y, h):\n", " N1, N2, R1, R2 = x\n", " r11, r12, r21, r22 = r\n", " K11, K12, K21, K22 = K\n", " y11, y12, y21, y22 = y\n", " h1, h2 = h\n", " \n", " dN1dt = (\n", " N1 * r11 * R1 / (K11 + R1) + \n", " N1 * r21 * R2 / (K21 + R2)\n", " )\n", " dN2dt = (\n", " N2 * r12 * R1 / (K12 + R1) + \n", " N2 * r22 * R2 / (K22 + R2)\n", " )\n", " dR1dt = (\n", " -1/y11 * N1 * r11 * R1 / (K11 + R1) \n", " -1/y12 * N2 * r12 * R1 / (K12 + R1)\n", " )\n", " dR2dt = (\n", " h1 * N1 * r11 * R1 / (K11 + R1) +\n", " h2 * N2 * r12 * R1 / (K12 + R1) \n", " -1/y21 * N1 * r21 * R2 / (K21 + R2) \n", " - 1/y22 * N2 * r22 * R2 / (K22 + R2)\n", " )\n", " \n", " return [dN1dt, dN2dt, dR1dt, dR2dt]" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "r11 = 1\n", "r12 = 2.68\n", "r21 = 7\n", "r22 = 1\n", "r = r11, r12, r21, r22\n", "K11 = K12 = 50\n", "K21 = K22 = 50 \n", "K = K11, K12, K21, K22\n", "y11 = y12 = 1\n", "y21 = y22 = 1\n", "y = y11, y12, y21, y22\n", "h1 = h2 = 1\n", "h = h1, h2\n", "R1_0 = 1\n", "\n", "x0 = 0.4, 0.6, R1_0, 0\n", "t = np.linspace(0, 50, 100)\n", "\n", "x = odeint(ribeck_ode, x0, t, args=(K, r, y, h))\n", "N1, N2, R1, R2 = x.T" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 566, "width": 402 } }, "output_type": "display_data" } ], "source": [ "red, blue, green, purple, orange = sns.color_palette('Set1', 5)\n", "fig, axes = plt.subplots(2, 1, figsize=(5, 8))\n", "ax = axes[0]\n", "linekws = dict(lw=2)\n", "\n", "ax.plot(t, N1, color=green, label='$N_1$', **linekws)\n", "ax.plot(t, N2, color=red, label='$N_2$', **linekws)\n", "# ax.plot(t, N1+N2, color=blue, label='$N_1+N_2$', **linekws)\n", "ax.plot(t, R1, color=purple, label='$R_1$', alpha=0.75, **linekws)\n", "ax.plot(t, R2, color=orange, label='$R_2$', alpha=0.75, **linekws)\n", "ax.set(xlabel=('Time'), ylabel=('Density'))\n", "legend_out(ax)\n", "\n", "ax = axes[1]\n", "ax.plot(t, N1/(N1+N2), color=green, label='$N_1$', **linekws)\n", "ax.plot(t, N2/(N1+N2), color=red, label='$N_2$', **linekws)\n", "ax.set(xlabel=('Time'), ylabel=('Frequency'), ylim=(0,1))\n", "\n", "fig.tight_layout()\n", "sns.despine()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 252, "width": 380 } }, "output_type": "display_data" } ], "source": [ "w = np.linspace(0, 10)\n", "plt.plot(w, 2*w/(1+w))\n", "plt.plot([0,1,2],[0,1,2], 'ok')\n", "plt.ylim(0,2)\n", "c = 0.1\n", "plt.axhline(2*(1-c), ls='--', color='k')\n", "sns.despine()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:scipy]", "language": "python", "name": "conda-env-scipy-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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }