{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Average radial distribution functions\n", "\n", "Here we calculate the average radial cumulative distribution functions between two groups of atoms.\n", "\n", "**Last updated:** December 2022 with MDAnalysis 2.4.0-dev0\n", "\n", "**Minimum version of MDAnalysis:** 0.17.0\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" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:03.480971Z", "iopub.status.busy": "2021-05-19T05:58:03.479758Z", "iopub.status.idle": "2021-05-19T05:58:04.536877Z", "shell.execute_reply": "2021-05-19T05:58:04.537467Z" } }, "outputs": [], "source": [ "import MDAnalysis as mda\n", "from MDAnalysis.tests.datafiles import TPR, XTC\n", "from MDAnalysis.analysis import rdf\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. [[3]](#References)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:04.543088Z", "iopub.status.busy": "2021-05-19T05:58:04.542280Z", "iopub.status.idle": "2021-05-19T05:58:05.158492Z", "shell.execute_reply": "2021-05-19T05:58:05.159006Z" } }, "outputs": [], "source": [ "u = mda.Universe(TPR, XTC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating the average radial distribution function for two groups of atoms" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "A radial distribution function $g_{ab}(r)$ describes the time-averaged density of particles in $b$ from the reference group $a$ at distance $r$. It is normalised so that it becomes 1 for large separations in a homogenous system.\n", "\n", "$$ g_{ab}(r) = (N_{a} N_{b})^{-1} \\sum_{i=1}^{N_a} \\sum_{j=1}^{N_b} \\langle \\delta(|\\mathbf{r}_i - \\mathbf{r}_j| - r) \\rangle$$\n", "\n", "The radial cumulative distribution function is \n", "\n", "$$G_{ab}(r) = \\int_0^r \\!\\!dr' 4\\pi r'^2 g_{ab}(r')$$\n", "\n", "The average number of $b$ particles within radius $r$ at density $\\rho$ is:\n", "\n", "$$N_{ab}(r) = \\rho G_{ab}(r)$$\n", "\n", "The average number of particles can be used to compute coordination numbers, such as the number of neighbours in the first solvation shell.\n", "\n", "Below, I calculate the average RDF between each atom of residue 60 to each atom of water to look at the distribution of water over the trajectory. The RDF is limited to a spherical shell around each atom in residue 60 by `range`. Note that the range is defined around *each atom*, rather than the center-of-mass of the entire group.\n", "\n", "If you are after non-averaged radial distribution functions, have a look at the [site-specific RDF class](site_specific_rdf.ipynb). [The API docs for the InterRDF class are here.](https://docs.mdanalysis.org/stable/documentation_pages/analysis/rdf.html#MDAnalysis.analysis.rdf.InterRDF)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.163423Z", "iopub.status.busy": "2021-05-19T05:58:05.162297Z", "iopub.status.idle": "2021-05-19T05:58:05.459038Z", "shell.execute_reply": "2021-05-19T05:58:05.459489Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res60 = u.select_atoms('resid 60')\n", "water = u.select_atoms('resname SOL')\n", "\n", "irdf = rdf.InterRDF(res60, water,\n", " nbins=75, # default\n", " range=(0.0, 15.0), # distance in angstroms\n", " )\n", "irdf.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The distance bins are available at `irdf.bins` and the radial distribution function is at `irdf.rdf`. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.464585Z", "iopub.status.busy": "2021-05-19T05:58:05.463804Z", "iopub.status.idle": "2021-05-19T05:58:05.466368Z", "shell.execute_reply": "2021-05-19T05:58:05.466702Z" } }, "outputs": [ { "data": { "text/plain": [ "array([ 0.1, 0.3, 0.5, 0.7, 0.9, 1.1, 1.3, 1.5, 1.7, 1.9, 2.1,\n", " 2.3, 2.5, 2.7, 2.9, 3.1, 3.3, 3.5, 3.7, 3.9, 4.1, 4.3,\n", " 4.5, 4.7, 4.9, 5.1, 5.3, 5.5, 5.7, 5.9, 6.1, 6.3, 6.5,\n", " 6.7, 6.9, 7.1, 7.3, 7.5, 7.7, 7.9, 8.1, 8.3, 8.5, 8.7,\n", " 8.9, 9.1, 9.3, 9.5, 9.7, 9.9, 10.1, 10.3, 10.5, 10.7, 10.9,\n", " 11.1, 11.3, 11.5, 11.7, 11.9, 12.1, 12.3, 12.5, 12.7, 12.9, 13.1,\n", " 13.3, 13.5, 13.7, 13.9, 14.1, 14.3, 14.5, 14.7, 14.9])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "irdf.results.bins" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.482640Z", "iopub.status.busy": "2021-05-19T05:58:05.481592Z", "iopub.status.idle": "2021-05-19T05:58:05.617137Z", "shell.execute_reply": "2021-05-19T05:58:05.617928Z" }, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Radial distribution')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(irdf.results.bins, irdf.results.rdf)\n", "plt.xlabel('Radius (angstrom)')\n", "plt.ylabel('Radial distribution')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The total number of atom pairs in each distance bin over the trajectory, before it gets normalised over the density, number of frames, and volume of each radial shell, is at `irdf.count`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.623967Z", "iopub.status.busy": "2021-05-19T05:58:05.623146Z", "iopub.status.idle": "2021-05-19T05:58:05.626277Z", "shell.execute_reply": "2021-05-19T05:58:05.626788Z" } }, "outputs": [ { "data": { "text/plain": [ "array([0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,\n", " 0.000e+00, 0.000e+00, 7.000e+00, 1.200e+01, 6.000e+00, 1.800e+01,\n", " 5.200e+01, 1.010e+02, 1.540e+02, 1.700e+02, 1.920e+02, 2.300e+02,\n", " 3.000e+02, 3.950e+02, 4.140e+02, 4.290e+02, 5.310e+02, 5.700e+02,\n", " 6.190e+02, 6.780e+02, 7.020e+02, 7.910e+02, 8.560e+02, 9.320e+02,\n", " 9.800e+02, 1.017e+03, 1.089e+03, 1.197e+03, 1.364e+03, 1.349e+03,\n", " 1.483e+03, 1.556e+03, 1.713e+03, 1.783e+03, 1.781e+03, 1.950e+03,\n", " 2.145e+03, 2.140e+03, 2.298e+03, 2.379e+03, 2.501e+03, 2.777e+03,\n", " 2.868e+03, 2.900e+03, 3.024e+03, 3.186e+03, 3.244e+03, 3.382e+03,\n", " 3.551e+03, 3.817e+03, 3.829e+03, 4.160e+03, 4.219e+03, 4.411e+03,\n", " 4.557e+03, 4.824e+03, 4.943e+03, 4.980e+03, 5.237e+03, 5.507e+03,\n", " 5.630e+03, 5.878e+03, 6.193e+03, 6.533e+03, 6.740e+03, 6.922e+03,\n", " 7.276e+03, 7.293e+03, 7.616e+03])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "irdf.results.count" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating the average radial distribution function for a group of atoms to itself" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may want to calculate the average RDF for a group of atoms where atoms overlap; for instance, looking at residue 60 around itself. In this case you should avoid including contributions from atoms interacting with themselves. The `exclusion_block` keyword allows you to mask pairs within the same chunk of atoms. Here you can pass `exclusion_block=(1, 1)` to create chunks of size 1 and avoid computing the RDF to itself." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.633431Z", "iopub.status.busy": "2021-05-19T05:58:05.632510Z", "iopub.status.idle": "2021-05-19T05:58:05.661421Z", "shell.execute_reply": "2021-05-19T05:58:05.661911Z" }, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "irdf2 = rdf.InterRDF(res60, res60,\n", " exclusion_block=(1, 1))\n", "irdf2.run()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.676787Z", "iopub.status.busy": "2021-05-19T05:58:05.675804Z", "iopub.status.idle": "2021-05-19T05:58:05.778619Z", "shell.execute_reply": "2021-05-19T05:58:05.778128Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Radial distribution')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(irdf2.results.bins, irdf2.results.rdf)\n", "plt.xlabel('Radius (angstrom)')\n", "plt.ylabel('Radial distribution')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, you can apply this to residues. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.784616Z", "iopub.status.busy": "2021-05-19T05:58:05.783724Z", "iopub.status.idle": "2021-05-19T05:58:05.787045Z", "shell.execute_reply": "2021-05-19T05:58:05.787430Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 11 THR residues\n", "THR has 14 atoms\n" ] } ], "source": [ "thr = u.select_atoms('resname THR')\n", "print('There are {} THR residues'.format(len(thr.residues)))\n", "print('THR has {} atoms'.format(len(thr.residues[0].atoms)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The code below calculates the RDF only using contributions from pairs of atoms where the two atoms are *not* in the same threonine residue." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.792739Z", "iopub.status.busy": "2021-05-19T05:58:05.791152Z", "iopub.status.idle": "2021-05-19T05:58:05.836113Z", "shell.execute_reply": "2021-05-19T05:58:05.836485Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "irdf3 = rdf.InterRDF(thr, thr,\n", " exclusion_block=(14, 14))\n", "irdf3.run()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.851189Z", "iopub.status.busy": "2021-05-19T05:58:05.839654Z", "iopub.status.idle": "2021-05-19T05:58:05.942905Z", "shell.execute_reply": "2021-05-19T05:58:05.943444Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Radial distribution')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(irdf3.results.bins, irdf3.results.rdf)\n", "plt.xlabel('Radius (angstrom)')\n", "plt.ylabel('Radial distribution')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you are splitting a residue over your two selections, you can discount pairs from the same residue by choosing appropriately sized exclusion blocks." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.950402Z", "iopub.status.busy": "2021-05-19T05:58:05.949579Z", "iopub.status.idle": "2021-05-19T05:58:05.951698Z", "shell.execute_reply": "2021-05-19T05:58:05.952063Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "THR has these atoms: N, H, CA, HA, CB, HB, OG1, HG1, CG2, HG21, HG22, HG23, C, O\n", "THR has 4 carbons\n", "THR has 10 non carbons\n" ] } ], "source": [ "first = thr.residues[0]\n", "print('THR has these atoms: ', ', '.join(first.atoms.names))\n", "thr_c1 = first.atoms.select_atoms('name C*')\n", "print('THR has {} carbons'.format(len(thr_c1)))\n", "thr_other1 = first.atoms.select_atoms('not name C*')\n", "print('THR has {} non carbons'.format(len(thr_other1)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `exclusion_block` here ensures that the RDF is only computed from threonine carbons to atoms in different threonine residues." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.956155Z", "iopub.status.busy": "2021-05-19T05:58:05.955633Z", "iopub.status.idle": "2021-05-19T05:58:05.983991Z", "shell.execute_reply": "2021-05-19T05:58:05.984524Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "thr_c = thr.select_atoms('name C*')\n", "thr_other = thr.select_atoms('not name C*')\n", "\n", "irdf4 = rdf.InterRDF(thr_c, thr_other,\n", " exclusion_block=(4, 10))\n", "irdf4.run()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:05.998799Z", "iopub.status.busy": "2021-05-19T05:58:05.998235Z", "iopub.status.idle": "2021-05-19T05:58:06.103732Z", "shell.execute_reply": "2021-05-19T05:58:06.104187Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Radial distribution')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(irdf4.results.bins, irdf4.results.rdf)\n", "plt.xlabel('Radius (angstrom)')\n", "plt.ylabel('Radial distribution')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] 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", "[2] 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": "guide", "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": "3.9.15" }, "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 }, "vscode": { "interpreter": { "hash": "5edc5d8d8cbc0935a054a8e44024f729bc376180aae27775d15f2ff38c68f892" } } }, "nbformat": 4, "nbformat_minor": 2 }