{
 "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": {},
   "outputs": [],
   "source": [
    "# # Install packages (uncomment if necessary, e.g., for Google Colab)\n",
    "# !pip install netsci"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "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",
    "\n",
    "\n",
    "plt.rcParams.update(\n",
    "    {\n",
    "        \"figure.dpi\": 144,\n",
    "        \"figure.figsize\": (6, 3),\n",
    "    }\n",
    ")"
   ]
  },
  {
   "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([10887486,  7395588,   414110,   834343,   417953,   418808,\n",
       "          94146,    93650,    93137,    31339,     5369,    10758,\n",
       "           5290,     5301,     1202,       20])"
      ]
     },
     "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": [
    "A more efficient counting, but only for the 13 connected triplets, is also implemented (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 834343 417953 418808  94146  93650  93137  31339\n",
      "   5369  10758   5290   5301   1202     20]\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": [
       "[<Axes: >, <Axes: >]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "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]]),\n",
       " array([[0, 1, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]),\n",
       " array([[0, 1, 0],\n",
       "        [1, 0, 0],\n",
       "        [0, 0, 0]]),\n",
       " array([[0, 1, 0],\n",
       "        [0, 0, 0],\n",
       "        [1, 0, 0]]),\n",
       " array([[0, 0, 0],\n",
       "        [1, 0, 0],\n",
       "        [1, 0, 0]]),\n",
       " array([[0, 1, 1],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]),\n",
       " array([[0, 1, 1],\n",
       "        [0, 0, 1],\n",
       "        [0, 0, 0]]),\n",
       " array([[0, 0, 0],\n",
       "        [0, 0, 1],\n",
       "        [1, 1, 0]]),\n",
       " array([[0, 1, 0],\n",
       "        [0, 0, 1],\n",
       "        [0, 1, 0]]),\n",
       " array([[0, 1, 0],\n",
       "        [0, 0, 1],\n",
       "        [1, 0, 0]]),\n",
       " array([[0, 1, 1],\n",
       "        [1, 0, 0],\n",
       "        [1, 0, 0]]),\n",
       " array([[0, 1, 0],\n",
       "        [0, 0, 1],\n",
       "        [1, 1, 0]]),\n",
       " array([[0, 0, 0],\n",
       "        [1, 0, 1],\n",
       "        [1, 1, 0]]),\n",
       " array([[0, 1, 1],\n",
       "        [0, 0, 1],\n",
       "        [0, 1, 0]]),\n",
       " array([[0, 1, 1],\n",
       "        [1, 0, 1],\n",
       "        [1, 0, 0]]),\n",
       " 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": {
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      "text/plain": [
       "<Figure size 3000x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "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": [
       "[<Axes: >, <Axes: >]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "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": [
       "[<Axes: title={'center': 'Brain Connectivity Toolbox (BCT) triad order'}>,\n",
       " <Axes: >]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nsv.bar_motifs(\n",
    "    f, order=nsm.triad_order_bct, title=\"Brain Connectivity Toolbox (BCT) triad order\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "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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