{ "cells": [ { "cell_type": "markdown", "id": "7c8606e5a53cceb2", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "# Tutorial 7: Kinked Chromatin\n", "\n", "In all tutorials so far, we have modeled chromatin such that each nucleosome behaves as a point in space along a stretchable, shearable wormlike chain. The simulations have neglected the geometry of DNA wrapping around each nucleosome, which introduces kinks in the path of the chromatin fiber. This tutorial introduces the idea of twist and DNA wrapping. The natural twist of DNA and the wrapping DNA around each nucleosome introduces kinks in the path of the chromatin fiber. This geometric feature is discussed with more detail in [Beltran et al. _PRL_ (2019)](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.208103). Descriptions in this notebook will focus on differences associated with this more detailed representation of chromatin." ] }, { "cell_type": "markdown", "id": "31df42d1f01a5dd8", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Important Consideration\n", "\n", "Equilibrating a kinked wormlike chain with long-range reader protein interactions is computationally challenging project. While the simulation may run, it is prone to frustration and is highly sensitive to the equilibration of the polymer. For that reason, use of this simulation so far to model the kinked wormlike chain has been limited to **homopolymers** (see [Wakim and Spakowitz _PNAS_ (2024)](https://www.pnas.org/doi/10.1073/pnas.2317911121) for details). This demonstration follows that example, bringing back the `NullField` from `tutorial_1` and neglecting epigenetic marks and reader proteins. In this demonstration, we ignore steric clashes between nucleosomes. In a later example, we will include steric clashes." ] }, { "cell_type": "markdown", "id": "9725d785ba22f106", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Import Modules\n", "\n", "In previous tutorials, we have used the `Chromatin` class in the `polymers` module to generate an approximate representation of the chromatin fiber. The class neglects the geometry of DNA wrapping around each nucleosome and kinks in the path of the chromatin fiber that form as a result. In this tutorial, we will introduce kinks in the path of the chromatin fiber. To do so, we will use the `DetailedChromatin` class in the `polymers` module. We will instantiate the chromatin fiber as a straight line and will demonstrate that the polymer equilibrates to a kinked configuration." ] }, { "cell_type": "code", "execution_count": 1, "id": "72a9f3a34c8a19fb", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:39.769205Z", "start_time": "2024-07-03T22:18:38.829300Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Built-in modules\n", "import os\n", "import sys\n", "\n", "# Third-party modules\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "# Custom modules\n", "from chromo.binders import get_by_name, make_binder_collection\n", "from chromo.polymers import DetailedChromatin # This class captures DNA wrapping\n", "from chromo.fields import NullField\n", "import chromo.mc as mc\n", "import chromo.mc.mc_controller as ctrl\n", "from chromo.util.reproducibility import get_unique_subfolder_name" ] }, { "cell_type": "markdown", "id": "b68f40ee22deb915", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Specify Binders\n", "\n", "We will use the DetailedNucleosome class to model a homopolymer, as in [Wakim and Spakowitz _PNAS_ (2024)](https://www.pnas.org/doi/10.1073/pnas.2317911121). Therefore, like `tutorial_1`, we will use a `null_reader` as a placeholder for the binder." ] }, { "cell_type": "code", "execution_count": 2, "id": "3563d87a99d20a79", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:40.637577Z", "start_time": "2024-07-03T22:18:40.631539Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Initialize a null binder to serve as a placeholder\n", "null_binder = get_by_name(\"null_reader\")\n", "\n", "# Create a binder collection (required to run a simulation)\n", "binder_collection = make_binder_collection([null_binder])" ] }, { "cell_type": "markdown", "id": "8c77d5b3569f9b20", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Instantiate the Polymer\n", "\n", "We will instantiate the chromatin fiber along a straight line. We will model a shorter chromatin fiber than previous tutorials for computational efficiency. Since we are incorporating nucleosome geometry and twist, we need to specify how many base pairs of DNA wrap around each nucleosome and what the twist persistence length is when we instantiate the polymer." ] }, { "cell_type": "code", "execution_count": 3, "id": "8a9c609713ba80e3", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:42.322726Z", "start_time": "2024-07-03T22:18:42.320632Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Specify the number of beads along the chromatin fiber\n", "num_beads = 100\n", "\n", "# Specify the spacing between adjacent beads\n", "bead_spacing = np.ones(num_beads - 1) * 16.5\n", "\n", "# Specify the geometry of DNA wrapping around the nucleosome\n", "length_bp = 0.332\n", "bp_wrap = 147.\n", "\n", "# Specify the bending and twist persistence lengths\n", "lp = 50\n", "lt = 100" ] }, { "cell_type": "code", "execution_count": 4, "id": "a17c93033d1b14f8", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:43.021310Z", "start_time": "2024-07-03T22:18:42.872604Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No states defined.\n", "No chemical modifications defined.\n" ] } ], "source": [ "poly = DetailedChromatin.straight_line_in_x(\n", " \"Chr\",\n", " bead_spacing,\n", " bp_wrap=bp_wrap,\n", " lp=lp,\n", " lt=lt\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "id": "161d8b28c2bed55d", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:43.637982Z", "start_time": "2024-07-03T22:18:43.530670Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the initial configuration of the polymer\n", "x = poly.r[:, 0]\n", "y = poly.r[:, 1]\n", "z = poly.r[:, 2]\n", "\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(projection='3d')\n", "ax.plot3D(np.asarray(x), np.asarray(y), np.asarray(z))\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ee6b386bcb59d73f", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Instantiate the Null Field" ] }, { "cell_type": "code", "execution_count": 6, "id": "4db658c9c845c354", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:44.724357Z", "start_time": "2024-07-03T22:18:44.722370Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# The field contains the polymer\n", "field = NullField(polymers=[poly])" ] }, { "cell_type": "markdown", "id": "7f6f71efc777c78a", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Specify the Simulation Parameters\n", "\n", "This setup is described in `tutorial_1`." ] }, { "cell_type": "code", "execution_count": 7, "id": "f8961ddaa0d9c01d", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:45.514471Z", "start_time": "2024-07-03T22:18:45.512528Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "amp_bead_bounds, amp_move_bounds = mc.get_amplitude_bounds(\n", " polymers = [poly]\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "d90efb744a6de5af", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:45.940629Z", "start_time": "2024-07-03T22:18:45.937710Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "out_dir = \"output_demo\"\n", "latest_sim = get_unique_subfolder_name(f\"{out_dir}/sim_\")\n", "moves_to_use = ctrl.all_moves_except_binding_state(\n", " log_dir=latest_sim,\n", " bead_amp_bounds=amp_bead_bounds.bounds,\n", " move_amp_bounds=amp_move_bounds.bounds,\n", " controller=ctrl.SimpleControl\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "id": "b90c40413bdc89df", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:18:46.329963Z", "start_time": "2024-07-03T22:18:46.328084Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Specify the number of snapshots and the number of MC steps to attempt per snapshot\n", "num_snapshots = 200\n", "mc_steps_per_snapshot = 200 # Reduce the number of MC steps per snapshot to speed up the simulation\n", "# TODO: If you want to run a more rigorous simulation, increase the number of MC steps per snapshot" ] }, { "cell_type": "markdown", "id": "64045d03d2e333de", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Run the Simulation" ] }, { "cell_type": "code", "execution_count": null, "id": "6ad4b4e222ac2775", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T23:24:08.979349Z", "start_time": "2024-07-03T22:18:47.152533Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "polymers = mc.polymer_in_field(\n", " polymers = [poly],\n", " binders = binder_collection,\n", " field = field,\n", " num_save_mc = mc_steps_per_snapshot,\n", " num_saves = num_snapshots,\n", " bead_amp_bounds = amp_bead_bounds,\n", " move_amp_bounds = amp_move_bounds,\n", " output_dir = out_dir,\n", " mc_move_controllers = moves_to_use\n", ")" ] }, { "cell_type": "markdown", "id": "201da1f733bd76e8", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Plot the Resulting Configuration\n", "\n", "Notice that the path of the polymer is kinked at each nucleosome in its final configuration." ] }, { "cell_type": "code", "execution_count": 11, "id": "bc8a087b185d440b", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T23:24:09.051249Z", "start_time": "2024-07-03T23:24:08.980721Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the final configuration of the polymer\n", "x = polymers[0].r[:, 0]\n", "y = polymers[0].r[:, 1]\n", "z = polymers[0].r[:, 2]\n", "\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(projection='3d')\n", "ax.plot3D(np.asarray(x), np.asarray(y), np.asarray(z))\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 5 }