{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Network Motifs "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Below are few \"toy\" examples demonstrating how to use the package for both counting network motifs (triads) and visualizing the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:19.538858Z",
     "start_time": "2019-06-27T19:08:19.064618Z"
    }
   },
   "outputs": [],
   "source": [
    "import netsci.models.random as nsr\n",
    "import netsci.metrics.motifs as nsm\n",
    "import netsci.visualization as nsv\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:19.544824Z",
     "start_time": "2019-06-27T19:08:19.541627Z"
    }
   },
   "outputs": [],
   "source": [
    "plt.rcParams['figure.dpi'] = 144"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Counting motif frequencies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's generate a sample adjacency matrix using the [Erdős–Rényi model](https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93R%C3%A9nyi_model). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:19.558853Z",
     "start_time": "2019-06-27T19:08:19.549462Z"
    }
   },
   "outputs": [],
   "source": [
    "n = 500    # The number of nodes\n",
    "p = 0.1    # The probability for a connection (or, \"sparsity\")\n",
    "\n",
    "A = nsr.erdos_renyi(n, p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Count all 16 triplet motifs using a naïve brute-force algorithm (complexity of O($n^3$))."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:38.666932Z",
     "start_time": "2019-06-27T19:08:19.560678Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([11040390,  7301442,   425147,   805446,   400906,   401677,\n",
       "          88803,    94130,    93852,    29547,     5329,    10337,\n",
       "           5181,     5053,     1236,       24])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nsm.motifs(A, algorithm='brute-force')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T20:14:38.663160Z",
     "start_time": "2019-06-19T20:14:38.657591Z"
    }
   },
   "source": [
    "Efficient counting of all 13 connected triplets (using the algorithm given in [Itzhack *et al.* (2007)](https://doi.org/10.1016/j.physa.2007.02.102))."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:40.621635Z",
     "start_time": "2019-06-27T19:08:38.668754Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[    -1     -1     -1 805446 400906 401677  88803  94130  93852  29547\n",
      "   5329  10337   5181   5053   1236     24]\n"
     ]
    }
   ],
   "source": [
    "f = nsm.motifs(A)\n",
    "print(f)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:41.048024Z",
     "start_time": "2019-06-27T19:08:40.623662Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1  2  3  4  5  6  7  8  9 10 11 12 13]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axes._subplots.AxesSubplot at 0x1165d6438>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x116678860>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nsv.bar_motifs(f)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plotted order is by the convention as in [Gal *et al.* (2017)](http://dx.doi.org/10.1038/nn.4576). We can also use different order (see below)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get the patterns explicitely:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:41.055368Z",
     "start_time": "2019-06-27T19:08:41.049997Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]), array([[0, 1, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]), array([[0, 1, 0],\n",
       "        [1, 0, 0],\n",
       "        [0, 0, 0]]), array([[0, 1, 0],\n",
       "        [0, 0, 0],\n",
       "        [1, 0, 0]]), array([[0, 0, 0],\n",
       "        [1, 0, 0],\n",
       "        [1, 0, 0]]), array([[0, 1, 1],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]), array([[0, 1, 1],\n",
       "        [0, 0, 1],\n",
       "        [0, 0, 0]]), array([[0, 0, 0],\n",
       "        [0, 0, 1],\n",
       "        [1, 1, 0]]), array([[0, 1, 0],\n",
       "        [0, 0, 1],\n",
       "        [0, 1, 0]]), array([[0, 1, 0],\n",
       "        [0, 0, 1],\n",
       "        [1, 0, 0]]), array([[0, 1, 1],\n",
       "        [1, 0, 0],\n",
       "        [1, 0, 0]]), array([[0, 1, 0],\n",
       "        [0, 0, 1],\n",
       "        [1, 1, 0]]), array([[0, 0, 0],\n",
       "        [1, 0, 1],\n",
       "        [1, 1, 0]]), array([[0, 1, 1],\n",
       "        [0, 0, 1],\n",
       "        [0, 1, 0]]), array([[0, 1, 1],\n",
       "        [1, 0, 1],\n",
       "        [1, 0, 0]]), array([[0, 1, 1],\n",
       "        [1, 0, 1],\n",
       "        [1, 1, 0]])]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nsm.triad_patterns()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-18T01:01:35.633537Z",
     "start_time": "2018-12-18T01:01:35.624293Z"
    }
   },
   "source": [
    "To visualize them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:42.152784Z",
     "start_time": "2019-06-27T19:08:41.058074Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3000x900 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 3), dpi=300)\n",
    "nsv.plot_all_triads(ax=plt.gca())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analytical solution for Erdős–Rényi model\n",
    "\n",
    "The mean frequencies of triads in an Erdős–Rényi model can be computed analytically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:44.538983Z",
     "start_time": "2019-06-27T19:08:42.154741Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counting motifs..\n",
      "Plotting..\n",
      "[ 1  2  3  4  5  6  7  8  9 10 11 12 13]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axes._subplots.AxesSubplot at 0x11668b748>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x116a1bcf8>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.special import comb\n",
    "\n",
    "C3n = comb(n, 3)\n",
    "f_analytic = C3n * nsm.triad_proba(p)\n",
    "\n",
    "print(\"Counting motifs..\")\n",
    "f = nsm.motifs(A)\n",
    "\n",
    "print(\"Plotting..\")\n",
    "nsv.bar_motifs(f, f_analytic)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Extra"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For instance, the convention used in [Rubinov and Sporns (2010)](http://dx.doi.org/10.1016/j.neuroimage.2009.10.003):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-27T19:08:45.025115Z",
     "start_time": "2019-06-27T19:08:44.541140Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1  2  3  4  5  6  7  8  9 10 11 12 13]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axes._subplots.AxesSubplot at 0x116ac5dd8>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x116a43cf8>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nsv.bar_motifs(f, order=nsm.triad_order_bct, title='Brain Connectivity Toolbox (BCT) triad order')"
   ]
  },
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   "source": [
    "## References\n",
    "* Gal, London, Globerson, Ramaswamy, Reimann, Muller, Markram, and Segev. (2017). [Rich cell-type-specific network topology in neocortical microcircuitry](http://www.rdcu.be/tffO). *Nat Neurosci*, **20(7)**, 1004–1013. http://dx.doi.org/10.1038/nn.4576\n",
    "* Itzhack, Mogilevski, and Louzoun. (2007). An optimal algorithm for counting network motifs. *Physica A: Statistical Mechanics and Its Applications*, **381**, 482–490. https://doi.org/10.1016/j.physa.2007.02.102\n",
    "* Rubinov and Sporns. (2010). Complex network measures of brain connectivity: Uses and interpretations. *NeuroImage*, **52(3)**, 1059–1069. https://doi.org/10.1016/j.neuroimage.2009.10.003"
   ]
  }
 ],
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