{ "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:** Feb 06, 2020 with MDAnalysis 0.20.1\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": {}, "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": {}, "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": {}, "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": {}, "outputs": [ { "data": { "text/plain": [ "-169.78220560918737" ] }, "execution_count": 4, "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 can be used to rapidly calculate dihedrals for AtomGroups over the entire trajectory." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "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": {}, "outputs": [ { "data": { "text/plain": [ "(10, 5)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dihs.angles.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "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": [ "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": {}, "outputs": [ { "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 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": {}, "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": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "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": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "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": [ "rama.plot(color='black', marker='.', ref=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Janin analysis\n", "\n", "The `Janin` class 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": {}, "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": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "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 (mda0190)", "language": "python", "name": "mda0190" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" }, "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 }