{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# This notebook looks at a bifan-based cluster in the network of\n", "# frontal neurons in C. elegans. The data was downloaded from\n", "# http://www.biological-networks.org/?page_id=25 \n", "# which includes 2-dimensional spatial coordinates of the neurons.\n", "# The plot at the end of the notebook shows the cluster of neurons\n", "# in these spatial coordinates." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "131x131 sparse matrix with 610 Float64 entries:\n", "\t[27 , 1] = 1.0\n", "\t[70 , 1] = 1.0\n", "\t[72 , 1] = 1.0\n", "\t[84 , 1] = 1.0\n", "\t[115, 1] = 1.0\n", "\t[13 , 2] = 1.0\n", "\t[28 , 2] = 1.0\n", "\t[73 , 2] = 1.0\n", "\t[84 , 2] = 1.0\n", "\t[113, 2] = 1.0\n", "\tâ‹®\n", "\t[119, 130] = 1.0\n", "\t[29 , 131] = 1.0\n", "\t[35 , 131] = 1.0\n", "\t[59 , 131] = 1.0\n", "\t[73 , 131] = 1.0\n", "\t[75 , 131] = 1.0\n", "\t[87 , 131] = 1.0\n", "\t[88 , 131] = 1.0\n", "\t[91 , 131] = 1.0\n", "\t[111, 131] = 1.0\n", "\t[112, 131] = 1.0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Set up the packages and data.\n", "# WARNING: This may take several minutes if the packages have not been\n", "# downloaded before!\n", "include(\"higher_order_packages.jl\")\n", "using MatrixNetworks\n", "using MAT\n", "using PyPlot\n", " \n", "data = matread(\"data/neuronal.mat\");\n", "A = data[\"A\"];\n", "G = max(A, A'); # undirected version of graph \n", "U = A - min(A, A'); # unidirectional links" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Weighting from bifan motif\n", "# W_{ij} = # bifans that i and j both appear in (i != j)\n", "W = zeros(size(A))\n", "NA = deepcopy(G)\n", "NA[G .== 0] = 2\n", "NA -= 1\n", "ai, aj = findn(triu(NA, 1))\n", "for (x, y) in zip(ai, aj)\n", " xout = find(U[x, :])\n", " yout = find(U[y, :])\n", " comm = intersect(xout, yout)\n", " nc = size(comm, 1)\n", " for i = 1:nc\n", " for j = (i+1):nc\n", " w = comm[i]\n", " v = comm[j]\n", " if NA[w, v] == 1\n", " W[x, y] += 1\n", " W[x, w] += 1\n", " W[x, v] += 1\n", " W[y, w] += 1\n", " W[y, v] += 1\n", " W[w, v] += 1\n", " end\n", " end\n", " end\n", "end\n", "W = sparse(W + W');" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: The input matrix had 20 components, running on largest...\n" ] }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/System/Library/Frameworks/Python.framework/Versions/2.7/Extras/lib/python/matplotlib/collections.py:548: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " if self._edgecolors == 'face':\n" ] } ], "source": [ "# Compute and draw the motif-based cluster\n", "\n", "# Draw all nodes with true spatial coordinates \n", "pos = data[\"pos\"]\n", "scatter(pos[:,1], pos[:, 2], color=\"grey\")\n", "xlabel(\"x (mm)\")\n", "ylabel(\"y (mm)\")\n", "title(\"C. elegans frontal neurons bifan cluster\")\n", "\n", "# Draw the set found by the spectral cut with labels \n", "sc = spectral_cut(W)\n", "comm = collect(sc.set)\n", "scatter(pos[comm, 1], pos[comm, 2], color=\"red\")\n", "labels = data[\"labels\"]\n", "for ind in comm\n", " text(pos[ind, 1], pos[ind, 2], labels[ind])\n", "end" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.4.5", "language": "julia", "name": "julia-0.4" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.4.5" } }, "nbformat": 4, "nbformat_minor": 0 }