{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# All distances within a selection\n", "\n", "Here we calculate the distance of every atom to every other atom in a selection, and show how we can extend this to residues.\n", "\n", "**Last executed:** May 18, 2021 with MDAnalysis 1.1.1\n", "\n", "**Last updated:** January 2020\n", "\n", "**Minimum version of MDAnalysis:** 0.19.0\n", "\n", "**Packages required:**\n", " \n", "* MDAnalysis (Michaud-Agrawal *et al.*, 2011, Gowers *et al.*, 2016)\n", "* MDAnalysisTests\n", " \n", "**Optional packages for visualisation:**\n", "\n", "* [matplotlib](https://matplotlib.org)\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:20.975412Z", "iopub.status.busy": "2021-05-19T05:57:20.974553Z", "iopub.status.idle": "2021-05-19T05:57:21.625969Z", "shell.execute_reply": "2021-05-19T05:57:21.626340Z" } }, "outputs": [], "source": [ "import MDAnalysis as mda\n", "from MDAnalysis.tests.datafiles import PDB_small\n", "from MDAnalysis.analysis import distances\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading files" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The test files we will be working with here feature adenylate kinase (AdK), a phosophotransferase enzyme. (Beckstein *et al.*, 2009)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:21.630520Z", "iopub.status.busy": "2021-05-19T05:57:21.630011Z", "iopub.status.idle": "2021-05-19T05:57:21.786315Z", "shell.execute_reply": "2021-05-19T05:57:21.786790Z" }, "scrolled": true }, "outputs": [], "source": [ "u = mda.Universe(PDB_small)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating atom-wise distances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We begin by selecting the alpha-carbons of the protein." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:21.791991Z", "iopub.status.busy": "2021-05-19T05:57:21.789884Z", "iopub.status.idle": "2021-05-19T05:57:21.795803Z", "shell.execute_reply": "2021-05-19T05:57:21.796178Z" } }, "outputs": [ { "data": { "text/plain": [ "214" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ca = u.select_atoms('name CA')\n", "n_ca = len(ca)\n", "n_ca" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When given an array with $n$ positions, `distances.self_distance_array` ([API docs](https://docs.mdanalysis.org/stable/documentation_pages/analysis/distances.html#MDAnalysis.analysis.distances.self_distance_array)) returns the distances in a flat vector with length $\\frac{n(n-1)}{2}$. These correspond to the flattened upper triangular values of a square distance matrix." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:21.799694Z", "iopub.status.busy": "2021-05-19T05:57:21.798948Z", "iopub.status.idle": "2021-05-19T05:57:21.802286Z", "shell.execute_reply": "2021-05-19T05:57:21.802672Z" } }, "outputs": [ { "data": { "text/plain": [ "(22791,)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "self_distances = distances.self_distance_array(ca.positions)\n", "self_distances.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can convert this into a more easily interpreted square distance array. First we create an all-zero square array and get the indices of the upper and lower triangular matrices." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:21.806356Z", "iopub.status.busy": "2021-05-19T05:57:21.805709Z", "iopub.status.idle": "2021-05-19T05:57:21.808123Z", "shell.execute_reply": "2021-05-19T05:57:21.808555Z" } }, "outputs": [], "source": [ "sq_dist_arr = np.zeros((n_ca, n_ca))\n", "triu = np.triu_indices_from(sq_dist_arr, k=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we simply assign the calculated distances to the upper and lower triangular positions." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:21.812026Z", "iopub.status.busy": "2021-05-19T05:57:21.811237Z", "iopub.status.idle": "2021-05-19T05:57:21.813688Z", "shell.execute_reply": "2021-05-19T05:57:21.814541Z" } }, "outputs": [], "source": [ "sq_dist_arr[triu] = self_distances\n", "sq_dist_arr.T[triu] = self_distances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:21.830181Z", "iopub.status.busy": "2021-05-19T05:57:21.829627Z", "iopub.status.idle": "2021-05-19T05:57:22.588532Z", "shell.execute_reply": "2021-05-19T05:57:22.589001Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Distance (Angstrom)')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolor(ca.resids, ca.resids, sq_dist_arr)\n", "\n", "# plt.pcolor gives a rectangular grid by default\n", "# so we need to make our heatmap square\n", "ax.set_aspect('equal')\n", "\n", "# add figure labels and titles\n", "plt.ylabel('Residue IDs')\n", "plt.xlabel('Residue IDs')\n", "plt.title('Distance between alpha-carbons in AdK')\n", "\n", "# colorbar\n", "cbar = fig.colorbar(im)\n", "cbar.ax.set_ylabel('Distance (Angstrom)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating distances for each residue" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of calculating the distance between the alpha-carbon of each residue, we could look at the distances between the centers-of-mass instead. The process is very similar to the atom-wise distances above, but we have to pass `distances.self_distance_array` an array of residue center-of-mass coordinates instead." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:22.593399Z", "iopub.status.busy": "2021-05-19T05:57:22.592560Z", "iopub.status.idle": "2021-05-19T05:57:22.598349Z", "shell.execute_reply": "2021-05-19T05:57:22.598735Z" } }, "outputs": [ { "data": { "text/plain": [ "214" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_com = u.atoms.center_of_mass(compound='residues')\n", "n_res = len(res_com)\n", "n_res" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the number of residues remains the same, the resulting distances array has the same length." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:22.602647Z", "iopub.status.busy": "2021-05-19T05:57:22.602053Z", "iopub.status.idle": "2021-05-19T05:57:22.604480Z", "shell.execute_reply": "2021-05-19T05:57:22.604923Z" } }, "outputs": [ { "data": { "text/plain": [ "(22791,)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_dist = distances.self_distance_array(res_com)\n", "res_dist.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This means we don't need to re-define `triu`." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:22.609262Z", "iopub.status.busy": "2021-05-19T05:57:22.608616Z", "iopub.status.idle": "2021-05-19T05:57:22.610478Z", "shell.execute_reply": "2021-05-19T05:57:22.610896Z" } }, "outputs": [], "source": [ "sq_dist_res = np.zeros((n_res, n_res))\n", "sq_dist_res[triu] = res_dist\n", "sq_dist_res.T[triu] = res_dist" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting plot looks pretty similar." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:22.625171Z", "iopub.status.busy": "2021-05-19T05:57:22.624468Z", "iopub.status.idle": "2021-05-19T05:57:23.359852Z", "shell.execute_reply": "2021-05-19T05:57:23.360336Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Distance (Angstrom)')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig2, ax2 = plt.subplots()\n", "im2 = ax2.pcolor(u.residues.resids, u.residues.resids, sq_dist_res)\n", "\n", "# plt.pcolor gives a rectangular grid by default\n", "# so we need to make our heatmap square\n", "ax2.set_aspect('equal')\n", "\n", "# add figure labels and titles\n", "plt.ylabel('Residue IDs')\n", "plt.xlabel('Residue IDs')\n", "plt.title('Distance between centers-of-mass of AdK residues')\n", "\n", "# colorbar\n", "cbar2 = fig2.colorbar(im2)\n", "cbar2.ax.set_ylabel('Distance (Angstrom)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] Oliver Beckstein, Elizabeth J. Denning, Juan R. Perilla, and Thomas B. Woolf.\n", "Zipping and Unzipping of Adenylate Kinase: Atomistic Insights into the Ensemble of OpenClosed Transitions.\n", "Journal of Molecular Biology, 394(1):160–176, November 2009.\n", "00107.\n", "URL: https://linkinghub.elsevier.com/retrieve/pii/S0022283609011164, doi:10.1016/j.jmb.2009.09.009.\n", "\n", "[2] Richard J. Gowers, Max Linke, Jonathan Barnoud, Tyler J. E. Reddy, Manuel N. Melo, Sean L. Seyler, Jan Domański, David L. Dotson, Sébastien Buchoux, Ian M. Kenney, and Oliver Beckstein.\n", "MDAnalysis: A Python Package for the Rapid Analysis of Molecular Dynamics Simulations.\n", "Proceedings of the 15th Python in Science Conference, pages 98–105, 2016.\n", "00152.\n", "URL: https://conference.scipy.org/proceedings/scipy2016/oliver_beckstein.html, doi:10.25080/Majora-629e541a-00e.\n", "\n", "[3] Naveen Michaud-Agrawal, Elizabeth J. Denning, Thomas B. Woolf, and Oliver Beckstein.\n", "MDAnalysis: A toolkit for the analysis of molecular dynamics simulations.\n", "Journal of Computational Chemistry, 32(10):2319–2327, July 2011.\n", "00778.\n", "URL: http://doi.wiley.com/10.1002/jcc.21787, doi:10.1002/jcc.21787." ] } ], "metadata": { "kernelspec": { "display_name": "Python (mda-user-guide)", "language": "python", "name": "mda-user-guide" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.3" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }