{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": [ "# Tutorial 2: specifying constraints in iDDN\n", "In many problems, there are some biological knowledge about the (non)existence of edges between nodes and iDDN is able to incorporate this information during the optimization process.\n", "\n", "We start by importing some basic packages. " ], "id": "63ded71417fe47dc" }, { "cell_type": "code", "id": "initial_id", "metadata": { "collapsed": true, "ExecuteTime": { "end_time": "2024-08-26T14:57:05.290738Z", "start_time": "2024-08-26T14:57:04.712279Z" } }, "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from IPython.display import Image\n", "from iddn_data import load_data # Load example data and images\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ], "outputs": [], "execution_count": 1 }, { "metadata": {}, "cell_type": "markdown", "source": "We use the same example data as the previous tutorial.\n", "id": "1482cd5110ad3271" }, { "metadata": { "ExecuteTime": { "end_time": "2024-08-26T14:57:05.352565Z", "start_time": "2024-08-26T14:57:05.297692Z" } }, "cell_type": "code", "source": "example = load_data.load_example()", "id": "62d1204d1dc7b5d6", "outputs": [], "execution_count": 2 }, { "metadata": {}, "cell_type": "markdown", "source": "We give a simple example below. which is a two-layer network. We allow edges among TFs, and do not allow edges among non-TF genes.\n", "id": "2ef2b387b2540a94" }, { "metadata": { "ExecuteTime": { "end_time": "2024-08-26T14:57:06.162377Z", "start_time": "2024-08-26T14:57:05.607861Z" } }, "cell_type": "code", "source": "Image(filename=load_data.get_image_path(\"constraints_cartoon.png\"))", "id": "e08ef097f4b7166", "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 3 }, { "metadata": {}, "cell_type": "markdown", "source": "In this tutorial, for illustration purpose, we assume there are no edges among TFs and miRNAs. We need to create a matrix to represent these constraints. As we have 150 nodes (mRNA + TF + miRNA), we need to create a NumPy array of shape 150 by 150, where each row or column represent a node and the ordering is the same as the input data. If we allow an edge between two nodes $[i,j]$ , we assign value 1 to the corresponding elements in the matrix. If we do not allow an edge, we set as 0. If the constraints matrix is not provided, iDDN will allow any pairs of edges. An example constraints matrix `dep_mat` is given below. ", "id": "d570275bec96223a" }, { "metadata": { "ExecuteTime": { "end_time": "2024-08-26T14:57:06.887459Z", "start_time": "2024-08-26T14:57:06.604196Z" } }, "cell_type": "code", "source": [ "dep_mat = example[\"dep_mat\"]\n", "plt.imshow(dep_mat)" ], "id": "f440e06194702720", "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "metadata": {}, "cell_type": "markdown", "source": "To better understand this matrix, consider the figure below. The constraints matrix is divided to 9 blocks, and the shaded blocks represent the allowed interactions among nodes.", "id": "33dcc3a19a2b55ab" }, { "metadata": { "ExecuteTime": { "end_time": "2024-08-26T14:57:07.044018Z", "start_time": "2024-08-26T14:57:06.984179Z" } }, "cell_type": "code", "source": "Image(filename=load_data.get_image_path(\"constraints.png\"))", "id": "6eb2c29110b48dc1", "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 5 }, { "metadata": {}, "cell_type": "markdown", "source": "Usually, for different applications, the constraints matrix can be quite different, and there is no universally applicable choice, and it may require trial and error to find the most suitable constraints. In addition, although the constraints here looks to have some simple pattern, iDDN supports arbitrary choice of edges to be excluded. For example, we may know some TFs are not likely to bind to some genes, we may get a more fine-grained constraint matrix. This is illustrated in the figure below, which shows three different levels of constraints. The dashed lines shows the edges not allowed.", "id": "700a88dd441d05c1" }, { "metadata": { "ExecuteTime": { "end_time": "2024-08-26T14:57:07.137767Z", "start_time": "2024-08-26T14:57:07.078926Z" } }, "cell_type": "code", "source": "Image(filename=load_data.get_image_path(\"constraints_fine.png\"))", "id": "505403a5d2818162", "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 6 }, { "metadata": {}, "cell_type": "markdown", "source": [ "Also note that although the above constraints are symmetric, we can use an **asymmetric** constraints matrix to represent regulatory directions. For example, TFs may regulate mRNAs, but the opposite is not allowed. In the constraints matrix, if element $[i,j]$ of the matrix is 1, it means we allow an edge from node $i$ to node $j$. Therefore, we can modify the constraints matrix to allow edges from TFs or miRNAs to mRNA, but not the opposite. The figure below is the new constraint matrix, which is more consistent with the network topology shown before. \n", "\n", "In the following, we will still use the symmetric version of the constraints.\n" ], "id": "5330a9dfc10ce77a" }, { "metadata": { "ExecuteTime": { "end_time": "2024-08-26T14:57:07.389122Z", "start_time": "2024-08-26T14:57:07.171677Z" } }, "cell_type": "code", "source": [ "dep_mat_asymmetric = np.copy(dep_mat)\n", "dep_mat_asymmetric[:, 50:] = 0\n", "plt.imshow(dep_mat_asymmetric)" ], "id": "88abf9a4d07f9bdb", "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 7 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## Next steps\n", "In the following tutorials, we will learn how to visualize the estimated networks with the built-in functions in iDDN." ], "id": "af714ca497053de3" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }