Experimental_Model.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import binned_statistic\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "import math\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def func(x, a,b):\n",
    "    return b/(x**a)\n",
    "\n",
    "def toy_samp_(cv,M,sim_num=30):\n",
    "    n_genes=20000\n",
    "    n_cells = M.shape[0]\n",
    "    x_=np.linspace(1,n_genes, n_genes+1)\n",
    "    f_mean=func(x_,0.8,1)/np.sum(func(x_,0.8,1))\n",
    "    fake_organ=np.zeros((n_genes,n_cells,sim_num)).astype('float32')\n",
    "    f=np.zeros((n_genes,n_cells,sim_num)).astype('float32')\n",
    "    for z in range(sim_num):\n",
    "        for i in range(n_genes)[:]:\n",
    "            mu= f_mean[i]\n",
    "            std = cv * mu\n",
    "            var=std**2\n",
    "            shape = mu**2/var\n",
    "            scale= var/mu\n",
    "            if not math.isinf(shape):\n",
    "                N_ =np.random.gamma(shape,scale, size=(1,n_cells))\n",
    "                f[i,:,z]=N_\n",
    "        rs = np.random.RandomState(seed=42)\n",
    "        for c in range(n_cells)[:]:\n",
    "            p = f[:,c,z]/(f[:,c,z].sum(axis=0))\n",
    "            fake_raw=np.mean(np.random.multinomial(M[c], p, size=1),axis=0) \n",
    "            fake_organ[:,c,z]= np.array(fake_raw)\n",
    "\n",
    "    toy_samp= fake_organ\n",
    "    return toy_samp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "cv=0.3\n",
    "M_min,M_max=20000,30000\n",
    "M = np.logspace(np.log10(M_min),np.log10(M_max),2000)\n",
    "toy_samp=toy_samp_(cv,M)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(18,15))\n",
    "cv2_samp=((toy_samp.std(axis=1)))**2/((toy_samp.mean(axis=1)))**2\n",
    "plt.plot((toy_samp.mean(axis=1)).mean(axis=1), cv2_samp.mean(axis=1),'o', color='gray', label='sampling'.format(cv), ms=25)\n",
    "\n",
    "plt.legend(frameon=False, loc='upper right', fontsize=35)\n",
    "plt.xlabel('mean',fontsize=35)\n",
    "plt.ylabel('$CV^2$',fontsize=35)\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.xticks(fontsize=35)\n",
    "plt.yticks(fontsize=35)\n",
    "ax.tick_params(which='minor', labelsize=30,width=4,length=10)\n",
    "ax.tick_params(axis='both',width=5,length=15)\n",
    "plt.savefig('/media/silvia/Maxtor/DATA/NULLMODEL2.0/IMPLEMENTATION/Figures/CV2.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "h_means=[]\n",
    "h_var=[]\n",
    "for i in range(10):  \n",
    "    h_means.append(binned_statistic(M, ((toy_samp>0).sum(axis=0))[:,i], statistic='mean', bins=np.logspace(np.log10(M_min),np.log10(M_max),15), range=None)[0])\n",
    "    h_var.append((binned_statistic(M, ((toy_samp>0).sum(axis=0))[:,i], statistic='std', bins=np.logspace(np.log10(M_min),np.log10(M_max),15), range=None)[0])**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "h_var=np.array(h_var)\n",
    "h_means=np.array(h_means)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(18,15))\n",
    "plt.errorbar(h_means.mean(axis=0),h_var.mean(axis=0),yerr=h_var.std(axis=0),marker='o', label='sampling', color='gray', ms=35,lw=7)\n",
    "plt.plot(np.logspace(np.log10(h_means.min()),np.log10(h_means.max()),100), np.logspace(np.log10(h_means.min()),np.log10(h_means.max()),100)*1.1,'--',color='blue',alpha=0.5,lw=10,label='Poisson scaling $ \\propto <h>$ ')\n",
    "plt.plot(np.logspace(np.log10(h_means.min()),np.log10(h_means.max()),100), ((np.logspace(np.log10(h_means.min()),np.log10(h_means.max()),100))**2)*1/2000,'--', color='red', alpha=0.5,lw=10, label=\"Taylor's law $ \\propto <h>^2$\")\n",
    "plt.legend(frameon=False, bbox_to_anchor=(1, .5), loc='center left', fontsize=35)\n",
    "plt.ylim(bottom=0.5*10**4)\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.ylabel('$\\sigma^2_h$',fontsize=35)\n",
    "plt.xlabel('$<h>$', fontsize=35)\n",
    "plt.xticks(fontsize=35)\n",
    "plt.yticks(fontsize=35)\n",
    "ax.tick_params(which='minor', labelsize=30,width=4,length=10, rotation=45)\n",
    "ax.tick_params(axis='both',width=7,length=15)\n",
    "plt.savefig('/media/silvia/Maxtor/DATA/NULLMODEL2.0/IMPLEMENTATION/Figures/h_fluctuations.pdf', bbox_inches='tight')"
   ]
  }
 ],
 "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}