{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Protein dihedral angle analysis\n", "\n", "We look at backbone dihedral angles and generate Ramachandran and Janin plots.\n", "\n", "The methods and examples shown here are only applicable to Universes where protein residue names have standard names, i.e. the backbone is comprised of --N--CA--C--N--CA-- atoms.\n", "\n", "\n", "\n", "**Last executed:** May 18, 2021 with MDAnalysis 1.1.1\n", "\n", "**Last updated:** February 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)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:07.289111Z", "iopub.status.busy": "2021-05-19T05:58:07.287941Z", "iopub.status.idle": "2021-05-19T05:58:08.065635Z", "shell.execute_reply": "2021-05-19T05:58:08.066015Z" } }, "outputs": [], "source": [ "import MDAnalysis as mda\n", "from MDAnalysis.tests.datafiles import GRO, XTC\n", "from MDAnalysis.analysis import dihedrals\n", "import matplotlib.pyplot as plt\n", "import numpy as np\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": "2021-05-19T05:58:08.070645Z", "iopub.status.busy": "2021-05-19T05:58:08.069949Z", "iopub.status.idle": "2021-05-19T05:58:08.534249Z", "shell.execute_reply": "2021-05-19T05:58:08.534698Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 214 residues in the protein\n" ] } ], "source": [ "u = mda.Universe(GRO, XTC)\n", "protein = u.select_atoms('protein')\n", "print('There are {} residues in the protein'.format(len(protein.residues)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Selecting dihedral atom groups\n", "\n", "Proteins have canonical dihedral angles defined on the backbone atoms. $\\phi$ (phi), $\\psi$ (psi) and $\\omega$ (omega) are backbone angles. The side-chain dihedral angles are called $\\chi_n$ (chi-$n$), and can vary in number.\n", "\n", "
\n", "
\n", " \n", "![dihedral angles in proteins](../../images/dihedrals.png)\n", "\n", "
\n", "
\n", "\n", "\n", "MDAnalysis allows you to directly select the atoms involved in the $\\phi$, $\\psi$, $\\omega$, and $\\chi_1$ angles, provided that your protein atoms have standard names. If MDAnalysis cannot find atoms matching the names that it expects, it will return `None`. You can see below that `phi_selection()` returns an ordered AtomGroup of the atoms in the $\\phi$ angle of a residue if they can be found, and `None` if not." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.540426Z", "iopub.status.busy": "2021-05-19T05:58:08.539780Z", "iopub.status.idle": "2021-05-19T05:58:08.542371Z", "shell.execute_reply": "2021-05-19T05:58:08.542719Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LYS: ['C' 'N' 'CA' 'C'] \n", "ILE: ['C' 'N' 'CA' 'C'] \n", "LEU: ['C' 'N' 'CA' 'C'] \n", "GLY: ['C' 'N' 'CA' 'C'] \n", "SOL: None \n", "SOL: None \n", "SOL: None \n", "SOL: None \n", "SOL: None \n", "SOL: None \n" ] } ], "source": [ "for res in u.residues[210:220]:\n", " phi = res.phi_selection()\n", " if phi is None:\n", " names = None\n", " else:\n", " names = phi.names\n", " print('{}: {} '.format(res.resname, names))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similar functions exist for the other angles:\n", "\n", " - $\\psi$ angle (`Residue.psi_selection`)\n", " \n", " - $\\omega$ angle (`Residue.omega_selection`)\n", " \n", " - $\\chi_1$ angle (`Residue.chi1_selection`)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating dihedral angles\n", "\n", "Dihedral angles can be calculated directly from the AtomGroup, by converting it to a `Dihedral` object." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.550322Z", "iopub.status.busy": "2021-05-19T05:58:08.549608Z", "iopub.status.idle": "2021-05-19T05:58:08.552091Z", "shell.execute_reply": "2021-05-19T05:58:08.552459Z" } }, "outputs": [ { "data": { "text/plain": [ "-169.78220560918737" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "omegas = [res.omega_selection() for res in protein.residues[5:10]]\n", "omegas[0].dihedral.value()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `analysis.dihedrals.Dihedral` class ([API docs](https://docs.mdanalysis.org/stable/documentation_pages/analysis/dihedrals.html#MDAnalysis.analysis.dihedrals.Dihedral)) can be used to rapidly calculate dihedrals for AtomGroups over the entire trajectory." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.555970Z", "iopub.status.busy": "2021-05-19T05:58:08.555472Z", "iopub.status.idle": "2021-05-19T05:58:08.576776Z", "shell.execute_reply": "2021-05-19T05:58:08.577176Z" } }, "outputs": [], "source": [ "dihs = dihedrals.Dihedral(omegas).run();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The angles are saved in `dihs.angles`, in an array with the shape (`n_frames`, `n_atomgroups`)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.581893Z", "iopub.status.busy": "2021-05-19T05:58:08.580795Z", "iopub.status.idle": "2021-05-19T05:58:08.583646Z", "shell.execute_reply": "2021-05-19T05:58:08.584130Z" } }, "outputs": [ { "data": { "text/plain": [ "(10, 5)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dihs.angles.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.602739Z", "iopub.status.busy": "2021-05-19T05:58:08.602171Z", "iopub.status.idle": "2021-05-19T05:58:08.716697Z", "shell.execute_reply": "2021-05-19T05:58:08.717237Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "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": [ "labels = ['Res {}'.format(n) for n in np.arange(5, 10)]\n", "for ang, label in zip(dihs.angles.T, labels):\n", " plt.plot(ang, label=label)\n", "plt.xlabel('Frame')\n", "plt.ylabel('Angle (degrees)')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.749346Z", "iopub.status.busy": "2021-05-19T05:58:08.729285Z", "iopub.status.idle": "2021-05-19T05:58:08.880877Z", "shell.execute_reply": "2021-05-19T05:58:08.881816Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "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": [ "fig_polar = plt.figure()\n", "ax_polar = fig_polar.add_subplot(111, projection='polar')\n", "frames = np.arange(10)\n", "for res, label in zip(dihs.angles.T, labels):\n", " c = ax_polar.plot(res, frames, label=label)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ramachandran analysis\n", "\n", "The `Ramachandran` class ([API docs](https://docs.mdanalysis.org/stable/documentation_pages/analysis/dihedrals.html#MDAnalysis.analysis.dihedrals.Ramachandran)) calculates the $\\phi$ and $\\psi$ angles of the selected residues over the course of the trajectory, again saving it into `.angles`. If residues are given that do not contain a $\\phi$ and $\\psi$ angle, they are omitted from the results. For example, the angles returned are from every residue in the protein *except* the first and last, for which a $\\phi$ angle and a $\\psi$ angle do not exist, respectively.\n", "\n", "The returned `angles` are in the shape (`n_frames`, `n_residues`, 2) where the last dimension holds the $\\phi$ and $\\psi$ angle." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.885565Z", "iopub.status.busy": "2021-05-19T05:58:08.885013Z", "iopub.status.idle": "2021-05-19T05:58:08.962699Z", "shell.execute_reply": "2021-05-19T05:58:08.963192Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(10, 212, 2)\n" ] } ], "source": [ "rama = dihedrals.Ramachandran(protein).run()\n", "print(rama.angles.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can plot this yourself, but `Ramachandran.plot()` is a convenience method that plots the data from each time step onto a standard Ramachandran plot. You can call it with no arguments; any keyword arguments that you give (except `ax` and `ref`) will be passed to `matplotlib.axes.Axes.scatter` to modify your plot." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:08.982737Z", "iopub.status.busy": "2021-05-19T05:58:08.977715Z", "iopub.status.idle": "2021-05-19T05:58:09.246632Z", "shell.execute_reply": "2021-05-19T05:58:09.246209Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "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": [ "rama.plot(color='black', marker='.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you set `ref=True`, your data will be plotted with areas that show the allowed (dark blue) and marginally allowed (lighter blue) regions. \n", "\n", "
\n", " \n", "**Note**\n", "\n", "These regions are computed from a reference set of 500 PDB files from (Lovell *et al.*, 2003). The allowed region includes 90% data points, while the marginally allowed region includes 99% data points.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:09.265559Z", "iopub.status.busy": "2021-05-19T05:58:09.265049Z", "iopub.status.idle": "2021-05-19T05:58:09.625319Z", "shell.execute_reply": "2021-05-19T05:58:09.625814Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "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": [ "rama.plot(color='black', marker='.', ref=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Janin analysis\n", "\n", "The `Janin` class ([API docs](https://docs.mdanalysis.org/stable/documentation_pages/analysis/dihedrals.html#MDAnalysis.analysis.dihedrals.Janin)) works similarly to the `Ramachandran` analysis, but looks at the $\\chi_1$ and $\\chi_2$ angles instead. It therefore ignores all residues without a long enough side-chain, such as alanine, cysteine, and so on.\n", "\n", "Again, the returned `angles` are in the shape (`n_frames`, `n_residues`, 2) where the last dimension holds the $\\chi_1$ and $\\chi_2$ angle. We can see that only about half of the residues in AdK have side-chains long enough for this analysis." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:09.628967Z", "iopub.status.busy": "2021-05-19T05:58:09.628507Z", "iopub.status.idle": "2021-05-19T05:58:09.653135Z", "shell.execute_reply": "2021-05-19T05:58:09.653517Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(10, 129, 2)\n" ] } ], "source": [ "janin = dihedrals.Janin(protein).run()\n", "print(janin.angles.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Janin` class also contains a `plot()` method.\n", "\n", "
\n", " \n", "**Note**\n", "\n", "The reference regions here are also computed from the reference set of 500 PDB files from (Lovell *et al.*, 2003) (the allowed region includes 90% data points, while the marginally allowed region includes 98% data points). Information about general Janin regions is from (Janin *et al.*, 1978). \n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:58:09.673076Z", "iopub.status.busy": "2021-05-19T05:58:09.666116Z", "iopub.status.idle": "2021-05-19T05:58:09.754595Z", "shell.execute_reply": "2021-05-19T05:58:09.755223Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "janin.plot(ref=True, marker='.', color='black')" ] }, { "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] Joël Janin, Shoshanna Wodak, Michael Levitt, and Bernard Maigret.\n", "Conformation of amino acid side-chains in proteins.\n", "Journal of Molecular Biology, 125(3):357 – 386, 1978.\n", "00874.\n", "URL: http://www.sciencedirect.com/science/article/pii/0022283678904084, doi:10.1016/0022-2836(78)90408-4.\n", "\n", "[4] Simon C. Lovell, Ian W. Davis, W. Bryan Arendall, Paul I. W. de Bakker, J. Michael Word, Michael G. Prisant, Jane S. Richardson, and David C. Richardson.\n", "Structure validation by geometry: ϕ,ψ and deviation.\n", "Proteins: Structure, Function, and Bioinformatics, 50(3):437–450, January 2003.\n", "03997.\n", "URL: http://doi.wiley.com/10.1002/prot.10286, doi:10.1002/prot.10286.\n", "\n", "[5] 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 }