{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution-1\n", "In this problem we use the ColumnarStructure and boolean indexing to create a distance map of the HIV protease dimer. We will use C-beta atoms instead of C-alpha atoms." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pyspark.sql import SparkSession\n", "from mmtfPyspark.io import mmtfReader\n", "from mmtfPyspark.utils import traverseStructureHierarchy, ColumnarStructure\n", "from mmtfPyspark import structureViewer\n", "import numpy as np\n", "from scipy.spatial.distance import pdist, squareform\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Configure Spark" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "spark = SparkSession.builder.appName(\"Solution-1\").getOrCreate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Download an example structure\n", "Here we download an HIV protease structure with a bound ligand (Nelfinavir)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "pdb = mmtfReader.download_full_mmtf_files([\"1OHR\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Structures are represented as keyword-value pairs (tuples):\n", "* key: structure identifier (e.g., PDB ID)\n", "* value: MmtfStructure (structure data)\n", "\n", "In this case, we only have one structure, so we can use the first() method to extract the data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "structure = pdb.values().first()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create a columnar structure from an MMTF structure\n", "Here we convert an MMTF structure to a columnar structure. By specifying the firstModel flag, we\n", "only retrieve data for the first model (this structure has only one model, anyways)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TODO-1: create a ColumnarStructure" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [], "source": [ "arrays = ColumnarStructure(structure, firstModelOnly=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get atom coordinates as numpy arrays" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TODO-2: get coordinates" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "x = arrays.get_x_coords()\n", "y = arrays.get_y_coords()\n", "z = arrays.get_z_coords()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get entity types\n", "Entity types can be used to distinguish polymer from non-polymer groups and select specific components, e.g., all protein groups. The following entity types are available:\n", "* **Polymer groups**\n", " * PRO: protein\n", " * DNA: DNA\n", " * RNA: RNA\n", " * PSR: saccharide\n", "* **Non-polymer groups**\n", " * LGO: ligand organic\n", " * LGI: ligand inorganic\n", " * SAC: saccaride\n", " * WAT: water" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(['PRO', 'PRO', 'PRO', ..., 'WAT', 'WAT', 'WAT'], dtype=object)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "entity_types = arrays.get_entity_types()\n", "entity_types" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get atom, group, and chain name arrays" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(['N', 'CA', 'C', ..., 'O', 'H1', 'H2'], dtype=object)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "atom_names = arrays.get_atom_names()\n", "atom_names" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(['PRO', 'PRO', 'PRO', ..., 'HOH', 'HOH', 'HOH'], dtype=object)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "group_names = arrays.get_group_names()\n", "group_names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Boolean array indexing\n", "Boolean indexing is an efficient way to access selected elements from numpy arrays. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TODO-3: create a boolean index to select:\n", "* C-alpha atoms for glycine\n", "* C-beta atoms for all other amino acids\n", "\n", "This time, do the selection for the entire structure." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [], "source": [ "cb_idx = (entity_types == 'PRO') & \\\n", " ( ((atom_names == 'CB') & (group_names != 'GLY')) | \\\n", " ((atom_names == 'CA') & (group_names == 'GLY')) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TODO-4: Print the atom names for the selected atoms" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array(['CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CA', 'CA', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CA', 'CA', 'CB', 'CA', 'CA', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CA', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB',\n", " 'CA', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CA', 'CA', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CA', 'CA', 'CB', 'CA', 'CA', 'CB', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB',\n", " 'CB', 'CA', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB',\n", " 'CA', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB',\n", " 'CB', 'CB', 'CB', 'CB', 'CB', 'CA', 'CB', 'CB', 'CB', 'CB', 'CB'],\n", " dtype=object)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "atom_names[cb_idx]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, we apply this index to get the coordinates for the selected atoms" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "xc = x[cb_idx]\n", "yc = y[cb_idx]\n", "zc = z[cb_idx]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Combine separate x, y, and z arrays and swap axes\n", "`[x0, x1, ..., xn],[y0, y1,...,yn],[z0, z1, ...,zn]`\n", "\n", "to \n", "\n", "`[x0, y0, z0],[x1, y1, z1], ..., [xn, yn, zn]`" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "coords = np.swapaxes(np.array([xc,yc,zc]), 0, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Calculate distance map for the protein dimer" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [], "source": [ "dist_matrix = squareform(pdist(coords), 'euclidean')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.pcolor(dist_matrix, cmap='RdBu')\n", "plt.title('C-beta distance map')\n", "plt.gca().set_aspect('equal')\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Calculate distance map for the protein dimer\n", "Only consider distance <= 9. We use boolean indexing to set all distance > 9 to zero." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "dist_matrix[dist_matrix > 9] = 0" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.pcolor(dist_matrix, cmap='Greys')\n", "plt.title('C-beta distance map')\n", "plt.gca().set_aspect('equal')\n", "plt.colorbar();" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "spark.stop()" ] } ], "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": "3.6.13" } }, "nbformat": 4, "nbformat_minor": 4 }