{ "cells": [ { "cell_type": "markdown", "id": "eb5aec69-ec86-4e36-8a73-5f4e36933210", "metadata": {}, "source": [ "# Publication Figure 2\n", "\n", "This jupyter notebook contains the Analysis code for an upcoming publication.\n", "\n", "Authors: Kevin Sawade (kevin.sawade@uni-konstanz.de), Tobias Lemke, Christine Peter (christine.peter@uni-konstanz.de)\n", "\n", "EncoderMap's featurization was inspired by the (no longer maintained) PyEMMA library. Consider citing it (https://dx.doi.org/10.1021/acs.jctc.5b00743), if you are using EncoderMap:\n", "\n", "## Imports\n", "\n", "We start with the imports." ] }, { "cell_type": "code", "execution_count": 1, "id": "913c57c6-8ead-467e-ac56-fd9cb956b2fd", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/kevin/git/encoder_map_private/encodermap/__init__.py:194: GPUsAreDisabledWarning: EncoderMap disables the GPU per default because most tensorflow code runs with a higher compatibility when the GPU is disabled. If you want to enable GPUs manually, set the environment variable 'ENCODERMAP_ENABLE_GPU' to 'True' before importing EncoderMap. To do this in python you can run:\n", "\n", "import os; os.environ['ENCODERMAP_ENABLE_GPU'] = 'True'\n", "\n", "before importing encodermap.\n", " _warnings.warn(\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1b1649a04ff247919304d16aed4cc23e", "version_major": 2, "version_minor": 0 }, "text/plain": [] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Future imports at the top\n", "from __future__ import annotations\n", "\n", "# Import EncoderMap\n", "import encodermap as em\n", "from encodermap.plot import plotting\n", "from encodermap.plot.plotting import _plot_free_energy\n", "\n", "# Builtin packages\n", "import re\n", "import io\n", "import warnings\n", "import os\n", "import json\n", "import contextlib\n", "import time\n", "from copy import deepcopy\n", "from types import SimpleNamespace\n", "from pathlib import Path\n", "\n", "# Math\n", "import numpy as np\n", "import pandas as pd\n", "import xarray as xr\n", "\n", "# ML\n", "import tensorflow as tf\n", "\n", "# Plotting\n", "import plotly.express as px\n", "import plotly.graph_objects as go\n", "import plotly.io as pio\n", "from plotly.subplots import make_subplots\n", "import plotly.io as pio\n", "\n", "# MD\n", "import mdtraj as md\n", "import MDAnalysis as mda\n", "import nglview as nv\n", "\n", "# dates\n", "from dateutil import parser" ] }, { "cell_type": "markdown", "id": "d53853ab-4621-4d9e-8d20-c4362dd2788a", "metadata": {}, "source": [ "Using Autoreload we can make changes in the EncoderMap source code and use the new code, without needing to restart the Kernel." ] }, { "cell_type": "code", "execution_count": 2, "id": "72a51593-f805-47a1-8a05-6d9f92997c68", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "id": "5dc62d2f-b097-4439-adb5-30777ec9420a", "metadata": {}, "source": [ "## Trained network weights\n", "\n", "EncoderMap's Neural Network is initialized with random weights and biases. While the training is deterministic with pre-defined training weights, and the inferences that can be made from two trained models are qualitatively similar, the numerical exact output depends on the starting weights.\n", "\n", "For this reason, the trained network weights are available from the corresponding authors upon reasonable request or by raising an issue on GitHub: https://github.com/AG-Peter/encodermap/issues\n", "\n", "For this figure, data from Berg et al. is used.\n", "\n", "```\n", "@article{berg2018towards,\n", " title={Towards a molecular basis of ubiquitin signaling: A dual-scale simulation study of ubiquitin dimers},\n", " author={Berg, Andrej and Kukharenko, Oleksandra and Scheffner, Martin and Peter, Christine},\n", " journal={PLoS computational biology},\n", " volume={14},\n", " number={11},\n", " pages={e1006589},\n", " year={2018},\n", " publisher={Public Library of Science San Francisco, CA USA}\n", "}\n", "```\n", "\n", "### Load MD data from KonDATA\n", "\n", "The necessary simulations have also been uploaded to KonDATA and can be obtained from there." ] }, { "cell_type": "code", "execution_count": 3, "id": "d87c871b-4471-46c1-bb64-aee864d2ed0d", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
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   ],
   "source": [
    "figure_2_data_dir = Path.cwd() / \"analysis/figure_2\"\n",
    "figure_2_data_dir = em.get_from_kondata(\n",
    "    \"linear_dimers\",\n",
    "    figure_2_data_dir,\n",
    "    mk_parentdir=True,\n",
    "    silence_overwrite_message=True,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e13fef0-c6d8-472c-a905-9d1a6616bd0b",
   "metadata": {},
   "source": [
    "From the downloaded files, a trajectory ensemble can be constructed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "575767af-5241-4120-92fc-36b9add3b8bb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "analysis/figure_2/11.xtc\n",
      "analysis/figure_2/02.xtc\n",
      "analysis/figure_2/06.xtc\n",
      "analysis/figure_2/03.xtc\n",
      "analysis/figure_2/12.xtc\n",
      "analysis/figure_2/10.xtc\n",
      "analysis/figure_2/07.xtc\n",
      "analysis/figure_2/05.xtc\n",
      "analysis/figure_2/04.xtc\n",
      "analysis/figure_2/01.xtc\n",
      "analysis/figure_2/09.xtc\n",
      "analysis/figure_2/08.xtc\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       ""
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xtc_files = list(Path(figure_2_data_dir).rglob(\"*.xtc\"))\n",
    "for file in xtc_files:\n",
    "    print(file.relative_to(Path.cwd()))\n",
    "pdb_files = []\n",
    "for file in xtc_files:\n",
    "    pdb_file = file.with_suffix(\".pdb\")\n",
    "    pdb_files.append(pdb_file)\n",
    "linear_dimers_trajs = em.load(xtc_files, pdb_files)\n",
    "linear_dimers_trajs"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ed2623b-c6d0-44cd-9df0-a2001e2f9860",
   "metadata": {},
   "source": [
    "### Featurize\n",
    "\n",
    "Because the proteins in this dataset contain just standard residues, extracting the features needed for EncoderMap can be done via."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "045a7d33-6b3f-40b2-a49a-a62b3168b853",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "08fd9c14c2ce4cc981e044774a02f930",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Getting output of 5 features for 11:   0%|          | 0/5 [00:00,\n",
       " ]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "linear_dimers_emap.metrics"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd701874-45e2-46c2-806d-a85fce6c5f1b",
   "metadata": {},
   "source": [
    "### Train / Load trained network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "10a7dce0-6bd5-4c8d-b3dc-2d65bfc16120",
   "metadata": {},
   "outputs": [
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Training this model takes a lot of computational resources. If you just want to look at the images, we recommend loading a trained model from the provided files. Train y/N? \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Seems like the parameter file was moved to another directory. Parameter file is updated ...\n",
      "Output files are saved to /home/kevin/git/encoder_map_private/docs/source/notebooks/publication/trained_networks/figure_2 as defined in 'main_path' in the parameters.\n",
      "input shapes are:\n",
      "{'central_cartesians': (60012, 456, 3), 'central_dihedrals': (60012, 453), 'central_angles': (60012, 454), 'central_distances': (60012, 455), 'side_dihedrals': (60012, 322)}\n",
      "Saved a text-summary of the model and an image in /home/kevin/git/encoder_map_private/docs/source/notebooks/publication/trained_networks/figure_2, as specified in 'main_path' in the parameters.\n"
     ]
    }
   ],
   "source": [
    "if input(\n",
    "    \"Training this model takes a lot of computational resources. \"\n",
    "    \"If you just want to look at the images, we recommend loading \"\n",
    "    \"a trained model from the provided files. Train y/N?\"\n",
    ") == \"y\":\n",
    "    history = linear_dimers_emap.train()\n",
    "    json.dump(history, open(emap.p.main_path / \"history.json\", 'w'))\n",
    "else:\n",
    "    figure_2_trained_nn_dir = Path.cwd() / \"trained_networks/figure_2\"\n",
    "    linear_dimers_emap = em.AngleDihedralCartesianEncoderMap.from_checkpoint(\n",
    "        trajs=linear_dimers_trajs,\n",
    "        checkpoint_path=figure_2_trained_nn_dir,\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e708984c-6961-454c-9fa3-cfb599f559ae",
   "metadata": {},
   "source": [
    "### Images\n",
    "\n",
    "The `history` dictionary, that is returned from EncoderMap, when the training concludes contains the necessary information to plot the RMSD metric. A `.json` file of this dictionary can be requested from the corresponding authors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "97ec4650-1e90-4fa9-a8ec-9e9436725944",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(50000, 256)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with open(figure_2_trained_nn_dir / \"history.json\", \"r\") as f:\n",
    "    rmsd_data = np.asarray(json.loads(f.read())[\"ADCRMSDMetric\"])\n",
    "rmsd_data.shape"
   ]
  },
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   "cell_type": "code",
   "execution_count": 11,
   "id": "014a43b2-2362-40d6-af7e-e6a2cdc3efc3",
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = go.Figure(\n", " data=[\n", " go.Scatter(\n", " y=np.mean(rmsd_data, axis=1),\n", " x=np.arange(len(rmsd_data)),\n", " )\n", " ]\n", ")\n", "fig.update_layout(\n", " {\n", " \"width\": 1000,\n", " \"height\": 500,\n", " \"xaxis\": {\n", " \"title\": \"training step\",\n", " },\n", " \"yaxis\": {\n", " \"title\": \"average RMSD in nm\",\n", " },\n", " }\n", ")\n", "# fig.write_image(figure_2_trained_nn_dir / \"figure2_A.svg\", scale=2)\n", "# fig.write_image(figure_2_trained_nn_dir / \"figure2_A.png\", scale=2)\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "a95fa36c-6279-4354-aa0e-b19bd6df46f9", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "color": "rgb(68, 1, 84)", "i": [ 0, 0, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from plotly.express.colors import sample_colorscale\n", "N_BINS = 21\n", "step = 1000\n", "\n", "rmsd_plot_data = np.concatenate(\n", " [\n", " rmsd_data[:200:1],\n", " rmsd_data[200::step],\n", " ],\n", ")\n", "train_steps = np.concatenate(\n", " [\n", " np.arange(200),\n", " np.arange(200, len(rmsd_data))[::step]\n", " ],\n", ")\n", "assert len(rmsd_plot_data) == len(train_steps)\n", "\n", "fig = go.Figure()\n", "\n", "min_overall = float(\"inf\")\n", "max_overall = 0\n", "\n", "for train_step, rmsds in enumerate(rmsd_plot_data):\n", " if (new_min := np.min(rmsds)) < min_overall:\n", " min_overall = new_min\n", " if (new_max := np.max(rmsds)) > max_overall:\n", " max_overall = new_max\n", "edges = np.linspace(min_overall, max_overall, N_BINS)\n", "centers = np.mean(np.vstack([edges[0:-1], edges[1:]]), axis=0)\n", "\n", "\n", "def triangulate_histogtam(x, y, z):\n", " if len(x) != len(y) != len(z) :\n", " raise ValueError(\"The lists x, y, z, must have the same length\")\n", " n = len(x)\n", " if n % 2 :\n", " raise ValueError(\"The length of lists x, y, z must be an even number\") \n", " pts3d = np.vstack((x, y, z)).T\n", " pts3dp = np.array([[x[2*k+1], y[2*k+1], 0] for k in range(1, n//2-1)])\n", " pts3d = np.vstack((pts3d, pts3dp))\n", " #triangulate the histogram bars:\n", " tri = [[0,1,2], [0,2,n]]\n", " for k, i in zip(list(range(n, n-3+n//2)), list(range(3, n-4, 2))):\n", " tri.extend([[k, i, i+1], [k, i+1, k+1]])\n", " tri.extend([[n-3+n//2, n-3, n-2], [n-3+n//2, n-2, n-1]]) \n", " return pts3d, np.array(tri)\n", "\n", "\n", "for i, (train_step, rmsds) in enumerate(zip(train_steps, rmsd_plot_data)):\n", " c = i / len(rmsd_plot_data)\n", " c = sample_colorscale(\"Viridis\", c)[0]\n", " H = np.histogram(rmsds, edges)[0]\n", " a0 = np.repeat(H, 2).tolist()\n", " a0.insert(0,0)\n", " a0.pop()\n", " a0[-1]=0\n", " a1 = np.repeat(centers, 2)\n", " verts, tri = triangulate_histogtam([train_step]*len(a0), a1, a0)\n", " x, y, z = verts.T\n", " I, J, K = tri.T\n", " fig.add_traces(\n", " go.Mesh3d(\n", " x=x,\n", " y=y,\n", " z=z,\n", " i=I,\n", " j=J,\n", " k=K,\n", " color=c,\n", " ),\n", " )\n", " \n", "fig.update_layout(\n", " template=\"simple_white\",\n", ")\n", "fig.update_layout(\n", " {\n", " \"width\": 800,\n", " \"height\": 800,\n", " \"scene\": {\n", " \"xaxis\": {\n", " \"title\": {\n", " \"text\": \"training step\",\n", " \"font\": {\n", " \"size\": 22,\n", " },\n", " },\n", " \"tickfont\": {\n", " \"size\": 16,\n", " },\n", " },\n", " \"yaxis\": {\n", " \"title\": {\n", " \"text\": \"RMSD in nm\",\n", " \"font\": {\n", " \"size\": 22,\n", " },\n", " },\n", " \"tickfont\": {\n", " \"size\": 16,\n", " },\n", " },\n", " \"zaxis\": {\n", " \"title\": {\n", " \"text\": \"count\",\n", " \"font\": {\n", " \"size\": 22,\n", " },\n", " },\n", " \"tickfont\": {\n", " \"size\": 16,\n", " },\n", " },\n", " },\n", " \"scene_camera\": {\n", " \"eye\": {\n", " \"x\": 1.45,\n", " \"y\": 1.45,\n", " \"z\": 1.45,\n", " },\n", " },\n", " \"margin\": {\n", " \"t\": 0,\n", " \"b\": 0,\n", " \"r\": 0,\n", " \"l\": 0,\n", " },\n", " }\n", ")\n", "# fig.write_image(figure_2_trained_nn_dir / \"figure2_B.svg\", scale=2)\n", "# fig.write_image(figure_2_trained_nn_dir / \"figure2_B.png\", scale=2)\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "f2dd6a8b-80b5-408c-a02f-bf0fb0bf9dab", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }