{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Q1 vs Q2 contact analysis\n", "\n", "Here we calculate a Q1 vs Q2 plot, where Q1 refers to fraction of native contacts along a trajectory with reference to the first frame, and Q2 represents the fraction of native contacts with reference to the last.\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", "* [matplotlib](https://matplotlib.org)\n", "* [pandas](https://pandas.pydata.org)\n", "\n", "**See also**\n", "\n", "* [Fraction of native contacts over a trajectory](contacts_native_fraction.ipynb)\n", "* [Write your own contacts analysis method](contacts_custom.ipynb)\n", "* [Contact analysis: number of contacts within a cutoff](contacts_within_cutoff.ipynb)\n", "\n", "
\n", " \n", "**Note**\n", "\n", "The `contacts.q1q2` function uses the `radius_cut_q` method to calculate the fraction of native contacts for a conformation by determining that atoms *i* and *j* are in contact if they are within a given radius (Franklin *et al.*, 2007, Best *et al.*, 2013)\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:09.150739Z", "iopub.status.busy": "2021-05-19T05:57:09.149744Z", "iopub.status.idle": "2021-05-19T05:57:10.158714Z", "shell.execute_reply": "2021-05-19T05:57:10.159178Z" } }, "outputs": [], "source": [ "import MDAnalysis as mda\n", "from MDAnalysis.tests.datafiles import PSF, DCD\n", "from MDAnalysis.analysis import contacts\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background\n", "\n", "Please see the [Fraction of native contacts](contacts_native_fraction.ipynb#Background) for an introduction to general native contacts analysis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading files\n", "\n", "The test files we will be working with here feature adenylate kinase (AdK), a phosophotransferase enzyme. (Beckstein *et al.*, 2009) The trajectory ``DCD`` samples a transition from a closed to an open conformation." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:10.164284Z", "iopub.status.busy": "2021-05-19T05:57:10.163669Z", "iopub.status.idle": "2021-05-19T05:57:10.406580Z", "shell.execute_reply": "2021-05-19T05:57:10.406979Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/pbarletta/mambaforge/envs/guide/lib/python3.9/site-packages/MDAnalysis/coordinates/DCD.py:165: DeprecationWarning: DCDReader currently makes independent timesteps by copying self.ts while other readers update self.ts inplace. This behavior will be changed in 3.0 to be the same as other readers. Read more at https://github.com/MDAnalysis/mdanalysis/issues/3889 to learn if this change in behavior might affect you.\n", " warnings.warn(\"DCDReader currently makes independent timesteps\"\n" ] } ], "source": [ "u = mda.Universe(PSF, DCD)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating Q1 vs Q2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We choose to calculate contacts for all the alpha-carbons in the protein, and define the contact radius cutoff at 8 Angstrom. [contacts.q1q2](https://docs.mdanalysis.org/stable/documentation_pages/analysis/contacts.html#MDAnalysis.analysis.contacts.q1q2) returns a `contacts.Contacts` object, which we can run directly." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:10.410707Z", "iopub.status.busy": "2021-05-19T05:57:10.410167Z", "iopub.status.idle": "2021-05-19T05:57:10.650508Z", "shell.execute_reply": "2021-05-19T05:57:10.650908Z" } }, "outputs": [], "source": [ "q1q2 = contacts.q1q2(u, 'name CA', radius=8).run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data is in `q1q2.timeseries`. The first column of the data is always the frame number." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:10.657502Z", "iopub.status.busy": "2021-05-19T05:57:10.656664Z", "iopub.status.idle": "2021-05-19T05:57:10.667495Z", "shell.execute_reply": "2021-05-19T05:57:10.667876Z" } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Frame Q1 Q2\n", "0 0.0 1.000000 0.946494\n", "1 1.0 0.980926 0.949262\n", "2 2.0 0.973660 0.952952\n", "3 3.0 0.972752 0.951107\n", "4 4.0 0.970027 0.948339" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "q1q2_df = pd.DataFrame(q1q2.results.timeseries, \n", " columns=['Frame', \n", " 'Q1', \n", " 'Q2'])\n", "q1q2_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the fraction of native contacts over time." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:10.671981Z", "iopub.status.busy": "2021-05-19T05:57:10.671346Z", "iopub.status.idle": "2021-05-19T05:57:10.819080Z", "shell.execute_reply": "2021-05-19T05:57:10.819541Z" }, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Fraction of native contacts')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q1q2_df.plot(x='Frame')\n", "plt.ylabel('Fraction of native contacts')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, we can create a Q1 vs Q2 plot to characterise the transition of AdK from its opened to closed position. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-05-19T05:57:10.849349Z", "iopub.status.busy": "2021-05-19T05:57:10.841281Z", "iopub.status.idle": "2021-05-19T05:57:10.967028Z", "shell.execute_reply": "2021-05-19T05:57:10.967961Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Q2')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q1q2_df.plot(x='Q1', y='Q2', legend=False)\n", "plt.ylabel('Q2')" ] }, { "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] R. B. Best, G. Hummer, and W. A. Eaton.\n", "Native contacts determine protein folding mechanisms in atomistic simulations.\n", "Proceedings of the National Academy of Sciences, 110(44):17874–17879, October 2013.\n", "00259.\n", "URL: http://www.pnas.org/cgi/doi/10.1073/pnas.1311599110, doi:10.1073/pnas.1311599110.\n", "\n", "[3] Joel Franklin, Patrice Koehl, Sebastian Doniach, and Marc Delarue.\n", "MinActionPath: maximum likelihood trajectory for large-scale structural transitions in a coarse-grained locally harmonic energy landscape.\n", "Nucleic Acids Research, 35(suppl_2):W477–W482, July 2007.\n", "00083.\n", "URL: https://academic.oup.com/nar/article-lookup/doi/10.1093/nar/gkm342, doi:10.1093/nar/gkm342.\n", "\n", "[4] 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", "[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": "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": true }, "vscode": { "interpreter": { "hash": "5edc5d8d8cbc0935a054a8e44024f729bc376180aae27775d15f2ff38c68f892" } } }, "nbformat": 4, "nbformat_minor": 2 }