Amber_Inputs_prmtop_crd_Open_Binding_Pose_MetaDynamics.ipynb

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    {
      "cell_type": "markdown",
      "source": [
        "# This notebook is used for evaluating the stability of a specific docked pose. Please provide two files in amber formats, i): *.crd, or *.rst7; ii) *.prmtop, or *.prm7\n",
        "\n"
      ],
      "metadata": {
        "id": "31j7vxJcW73K"
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      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "cellView": "form",
        "id": "jdKywYTKBsQw"
      },
      "outputs": [],
      "source": [
        "#@title **Install Conda Colab**\n",
        "#@markdown It will restart the kernel (session), don't worry.\n",
        "!pip install -q condacolab\n",
        "import condacolab\n",
        "condacolab.install()"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#@title ### **Import Google Drive**\n",
        "#@markdown Click in the \"Run\" buttom to make your Google Drive accessible.\n",
        "from google.colab import drive\n",
        "\n",
        "drive.mount('/content/drive', force_remount=True)"
      ],
      "metadata": {
        "cellView": "form",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iYqjC-rwXbOj",
        "outputId": "0b4b9791-d719-4eed-b4c4-60f47dc60561"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /content/drive\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#@title **Install dependencies**\n",
        "#@markdown It will take a few minutes, please, drink a coffee and wait. ;-)\n",
        "# install dependencies\n",
        "%%capture\n",
        "import sys\n",
        "import tarfile\n",
        "import os\n",
        "import subprocess\n",
        "import sys\n",
        "commands = [\n",
        "    \"rm -rf /usr/local/conda-meta/pinned\",\n",
        "    \"mamba install openmm=7.7.0 -y\",\n",
        "    \"mamba install -c conda-forge mdanalysis -y\",\n",
        "    \"mamba install -c conda-forge parmed -y\",\n",
        "    \"conda install -c conda-forge mdtraj -y\",\n",
        "]\n",
        "\n",
        "for cmd in commands:\n",
        "    subprocess.run(cmd, shell=True)\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "cellView": "form",
        "id": "nCzKkB3uF_3-"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "#@title load dependencies\n",
        "from openmm import app, unit\n",
        "from openmm.app import HBonds, NoCutoff, PDBFile\n",
        "import parmed as pmd\n",
        "import openmm as mm\n",
        "from openmm import *\n",
        "from openmm.app import *\n",
        "from openmm.unit import *\n",
        "import urllib.request\n",
        "import MDAnalysis as mda\n",
        "import platform\n",
        "from scipy.spatial.distance import squareform\n",
        "import scipy.stats as stats\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "from scipy.interpolate import griddata\n",
        "import seaborn as sb\n",
        "from statistics import mean, stdev\n",
        "from matplotlib import colors\n",
        "from IPython.display import set_matplotlib_formats"
      ],
      "metadata": {
        "id": "8kybebjRF_7H",
        "cellView": "form"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Go to google drive and download OpenBPMD github repo"
      ],
      "metadata": {
        "id": "9-hDmud3LlSN"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "%cd /content/drive/MyDrive/"
      ],
      "metadata": {
        "id": "paD3XzDUY6I_"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "!git clone https://github.com/Gervasiolab/OpenBPMD.git"
      ],
      "metadata": {
        "id": "El6gYOt7F_96"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "%cd OpenBPMD"
      ],
      "metadata": {
        "id": "k_tPQovkGAC2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Upload the two Amber MD inputs,\n",
        "\n",
        "- Gromacs format also supported\n",
        "- Change the ligand name to make sure it mathces in the topology file (*.prmtop or *.prm7 for amber, and *.top for groumacs)"
      ],
      "metadata": {
        "id": "KbQ5TUpJLuni"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Here, the Ligand name in the topology is LIG, it maybe different in your case, please change it."
      ],
      "metadata": {
        "id": "Vor24qBFbAN-"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Start the Open BPMD simulation"
      ],
      "metadata": {
        "id": "wd9JyXQdMF2_"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "!python openbpmd.py -s SYS_gaff2.crd -p SYS_gaff2.prmtop -o ligand0_pose0 -lig_resname LIG -nreps 2"
      ],
      "metadata": {
        "id": "LkcM8FvAGAFG"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Analysing BPMD simulations\n",
        "\n",
        "In this notebook, we'll walk through a simple example of how to open and plot the time-wise BPMD scores, take their averages over multiple replicas and determining the final stability score for the given pose."
      ],
      "metadata": {
        "id": "68DNMayjG3X5"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "First, we import a few modules."
      ],
      "metadata": {
        "id": "q85RoioILFlY"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import os\n",
        "import glob\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt"
      ],
      "metadata": {
        "id": "icDa66U8I-gz"
      },
      "execution_count": 17,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Let's start by looking at one replica."
      ],
      "metadata": {
        "id": "B1mUcS3cLJxv"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "f = os.path.join('/content/drive/MyDrive/chapter3_nightly_built/20240411/OpenBPMD/ligand0_pose0','rep_0','bpm_results.csv')\n",
        "df = pd.read_csv(f)\n",
        "df"
      ],
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        "id": "Yo4_m35rJOSI",
        "outputId": "104dde6b-92c9-41ee-9e51-05888ba6b363"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
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              "    CompScore  PoseScore  ContactScore\n",
              "0   -3.596080   1.403920          1.00\n",
              "1   -3.595138   1.404862          1.00\n",
              "2   -0.327293   1.472707          0.36\n",
              "3   -3.190638   1.809362          1.00\n",
              "4   -3.526232   1.473768          1.00\n",
              "..        ...        ...           ...\n",
              "94   2.744986   4.544986          0.36\n",
              "95   3.258183   5.058183          0.36\n",
              "96   0.158444   3.758444          0.72\n",
              "97   3.441191   5.241191          0.36\n",
              "98   2.486290   4.286290          0.36\n",
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              "      }\n",
              "\n",
              "      [theme=dark] .colab-df-generate {\n",
              "        background-color: #3B4455;\n",
              "        fill: #D2E3FC;\n",
              "      }\n",
              "\n",
              "      [theme=dark] .colab-df-generate:hover {\n",
              "        background-color: #434B5C;\n",
              "        box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "        filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "        fill: #FFFFFF;\n",
              "      }\n",
              "    </style>\n",
              "    <button class=\"colab-df-generate\" onclick=\"generateWithVariable('df')\"\n",
              "            title=\"Generate code using this dataframe.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M7,19H8.4L18.45,9,17,7.55,7,17.6ZM5,21V16.75L18.45,3.32a2,2,0,0,1,2.83,0l1.4,1.43a1.91,1.91,0,0,1,.58,1.4,1.91,1.91,0,0,1-.58,1.4L9.25,21ZM18.45,9,17,7.55Zm-12,3A5.31,5.31,0,0,0,4.9,8.1,5.31,5.31,0,0,0,1,6.5,5.31,5.31,0,0,0,4.9,4.9,5.31,5.31,0,0,0,6.5,1,5.31,5.31,0,0,0,8.1,4.9,5.31,5.31,0,0,0,12,6.5,5.46,5.46,0,0,0,6.5,12Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "    <script>\n",
              "      (() => {\n",
              "      const buttonEl =\n",
              "        document.querySelector('#id_05fff95c-e636-4d17-bb2d-0bc7b67465b8 button.colab-df-generate');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      buttonEl.onclick = () => {\n",
              "        google.colab.notebook.generateWithVariable('df');\n",
              "      }\n",
              "      })();\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "df",
              "summary": "{\n  \"name\": \"df\",\n  \"rows\": 99,\n  \"fields\": [\n    {\n      \"column\": \"CompScore\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 2.626887439973161,\n        \"min\": -3.811726281831906,\n        \"max\": 7.6023209682569854,\n        \"num_unique_values\": 99,\n        \"samples\": [\n          7.129382266456412,\n          3.7404275473729234,\n          3.2581834485712085\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"PoseScore\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 1.327910995745056,\n        \"min\": 1.188273718168094,\n        \"max\": 7.6023209682569854,\n        \"num_unique_values\": 99,\n        \"samples\": [\n          7.129382266456412,\n          5.540427547372924,\n          5.058183448571209\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ContactScore\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.34545098675596514,\n        \"min\": 0.0,\n        \"max\": 1.0,\n        \"num_unique_values\": 4,\n        \"samples\": [\n          0.3600000000000001,\n          0.0,\n          1.0\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "As you can see the different scores were calculated for each frame. Let's plot each of the scores for this replica."
      ],
      "metadata": {
        "id": "BYKPyzniK7cZ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "time_sequence = np.linspace(0,10,99)\n",
        "\n",
        "plt.title('CompScore from 1 repeat')\n",
        "plt.plot(time_sequence,df['CompScore'])\n",
        "plt.xlabel('time(ns)')\n",
        "plt.ylabel('CompScore')\n",
        "plt.ylim(-5,5)\n",
        "plt.show()\n",
        "\n",
        "plt.title('PoseScore from 1 repeat')\n",
        "plt.plot(time_sequence,df['PoseScore'],color='darkorange')\n",
        "plt.xlabel('time(ns)')\n",
        "plt.ylabel('PoseScore')\n",
        "plt.ylim(0,5)\n",
        "plt.show()\n",
        "\n",
        "plt.title('ContactScore from 1 repeat')\n",
        "plt.plot(time_sequence,df['ContactScore'],color='green')\n",
        "plt.xlabel('time(ns)')\n",
        "plt.ylabel('ContactScore')\n",
        "plt.ylim(-0.1,1.1)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "Atav2q1IJOYF",
        "outputId": "d66d840d-a18a-46ef-8b6a-df974f0fb37e"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "As you can see, the scores are very noisy. This is typical of short metadynamics simulations that haven't yet converged the free energy surface. However, we're not interested in the free energy. We're only want to test the stability of the ligand in the binding pose.\n",
        "\n",
        "To have more confidence in the stability scores, we run multiple repeat simulations. In reporting the final PoseScore and ContactScore, after 10 repeats, we take the mean of the score over the last 2 ns, which also helps with the noise.\n",
        "\n",
        "Let's see what the mean of the scores looks when average-out over time."
      ],
      "metadata": {
        "id": "Hu1vf2O2LQt2"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# We'll store the results from 10 repeats in a 10x99 matrix.\n",
        "CompScores = np.zeros((10,99))\n",
        "PoseScores = np.zeros((10,99))\n",
        "ContactScores = np.zeros((10,99))\n",
        "\n",
        "# Fill those matrices with the scores from each repeat\n",
        "for idx in range(0,1):\n",
        "    f = os.path.join('/content/drive/MyDrive/chapter3_nightly_built/20240411/OpenBPMD/ligand0_pose0',f'rep_{idx}','bpm_results.csv')\n",
        "    df = pd.read_csv(f)\n",
        "    CompScores[idx] = df['CompScore']\n",
        "    PoseScores[idx] = df['PoseScore']\n",
        "    ContactScores[idx] = df['ContactScore']\n",
        "\n",
        "# Average out the scores from all of the repeats,\n",
        "# giving a mean of the scores at each frame of the trajectory\n",
        "averagedCompScore = np.array([ np.mean(CompScores[:,i]) for i in range(0,99) ])\n",
        "averagedPoseScore = [ np.mean(PoseScores[:,i]) for i in range(0,99) ]\n",
        "averagedContactScore = [ np.mean(ContactScores[:,i]) for i in range(0,99) ]\n",
        "# Get the standard deviation for the CompScore\n",
        "CompScore_stddev = np.array([ np.std(CompScores[:,i]) for i in range(0,99) ])\n",
        "# An array of time steps for plotting the x axis\n",
        "time_sequence = np.linspace(0,10,99)\n",
        "\n",
        "plt.title('CompScore from 10 repeats')\n",
        "plt.plot(time_sequence,averagedCompScore, color='blue')\n",
        "# Visualise the standard deviation of CompScore at each frame\n",
        "plt.fill_between(time_sequence, averagedCompScore-CompScore_stddev, averagedCompScore+CompScore_stddev,\n",
        "                 color='blue', alpha=0.3, lw=0)\n",
        "plt.xlabel('time(ns)')\n",
        "plt.ylabel('CompScore')\n",
        "plt.ylim(-5,5)\n",
        "plt.show()\n",
        "\n",
        "plt.title('PoseScore from 10 repeats')\n",
        "time_sequence = np.linspace(0,10,99)\n",
        "plt.plot(time_sequence,averagedPoseScore,color='darkorange')\n",
        "plt.xlabel('time(ns)')\n",
        "plt.ylabel('PoseScore')\n",
        "plt.ylim(0,5)\n",
        "plt.show()\n",
        "\n",
        "plt.title('ContactScore from 10 repeats')\n",
        "time_sequence = np.linspace(0,10,99)\n",
        "plt.plot(time_sequence,averagedContactScore,color='green')\n",
        "plt.xlabel('time(ns)')\n",
        "plt.ylabel('ContactScore')\n",
        "plt.ylim(-0.1,1.1)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "ST9711YZJonr",
        "outputId": "c3faf00a-bba8-4258-d64b-bc84a82b5f21"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Much better. You can now see how averaging multiple repeats reduces the noise of the scores."
      ],
      "metadata": {
        "id": "efCtmO0wKhSa"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Take only last 2ns\n",
        "In the case of a large stability screen, we want to automate things. In order to get a single number that evaluates a given pose/ligand, we take the scores of the final 2 ns."
      ],
      "metadata": {
        "id": "GHHJC5kxKIUy"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "compList = []\n",
        "contactList = []\n",
        "poseList = []\n",
        "# Find how many repeats have been run\n",
        "glob_str = os.path.join('/content/drive/MyDrive/chapter3_nightly_built/20240411/OpenBPMD/ligand0_pose0','rep_*')\n",
        "nreps = len(glob.glob(glob_str))\n",
        "for idx in range(0, nreps):\n",
        "    f = os.path.join('/content/drive/MyDrive/chapter3_nightly_built/20240411/OpenBPMD/ligand0_pose0',f'rep_{idx}','bpm_results.csv')\n",
        "    df = pd.read_csv(f)\n",
        "    # Since we only want last 2 ns, get the index of\n",
        "    # the last 20% of the data points\n",
        "    last_2ns_idx = round(len(df['CompScore'].values)/5)  # round up\n",
        "    compList.append(df['CompScore'].values[-last_2ns_idx:])\n",
        "    contactList.append(df['ContactScore'].values[-last_2ns_idx:])\n",
        "    poseList.append(df['PoseScore'].values[-last_2ns_idx:])\n",
        "\n",
        "# Get the means of the last 2 ns\n",
        "meanCompScore = np.mean(compList)\n",
        "meanPoseScore = np.mean(poseList)\n",
        "meanContact = np.mean(contactList)\n",
        "# Get the standard deviation of the final 2 ns\n",
        "meanCompScore_std = np.std(compList)\n",
        "meanPoseScore_std = np.std(poseList)\n",
        "meanContact_std = np.std(contactList)\n",
        "# Format it the Pandas way\n",
        "d = {'CompScore': [meanCompScore], 'CompScoreSD': [meanCompScore_std],\n",
        "     'PoseScore': [meanPoseScore], 'PoseScoreSD': [meanPoseScore_std],\n",
        "     'ContactScore': [meanContact], 'ContactScoreSD': [meanContact_std]}\n",
        "\n",
        "results_df = pd.DataFrame(data=d)\n",
        "results_df = results_df.round(3)\n",
        "\n",
        "results_df"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 89
        },
        "id": "zWmACVEYKMvq",
        "outputId": "3591d61f-8a37-4b80-cf37-a18e6c5ec5f8"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "   CompScore  CompScoreSD  PoseScore  PoseScoreSD  ContactScore  \\\n",
              "0     11.453        8.512     12.218        7.717         0.153   \n",
              "\n",
              "   ContactScoreSD  \n",
              "0            0.24  "
            ],
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              "summary": "{\n  \"name\": \"results_df\",\n  \"rows\": 1,\n  \"fields\": [\n    {\n      \"column\": \"CompScore\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": null,\n        \"min\": 11.453,\n        \"max\": 11.453,\n        \"num_unique_values\": 1,\n        \"samples\": [\n          11.453\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"CompScoreSD\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": null,\n        \"min\": 8.512,\n        \"max\": 8.512,\n        \"num_unique_values\": 1,\n        \"samples\": [\n          8.512\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"PoseScore\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": null,\n        \"min\": 12.218,\n        \"max\": 12.218,\n        \"num_unique_values\": 1,\n        \"samples\": [\n          12.218\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"PoseScoreSD\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": null,\n        \"min\": 7.717,\n        \"max\": 7.717,\n        \"num_unique_values\": 1,\n        \"samples\": [\n          7.717\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ContactScore\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": null,\n        \"min\": 0.153,\n        \"max\": 0.153,\n        \"num_unique_values\": 1,\n        \"samples\": [\n          0.153\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ContactScoreSD\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": null,\n        \"min\": 0.24,\n        \"max\": 0.24,\n        \"num_unique_values\": 1,\n        \"samples\": [\n          0.24\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The snippet of code above is taken directly from the ```collect_results()``` function in the ```openbpmd.py``` script and you should see the ```results.csv``` file in the ```output``` directory."
      ],
      "metadata": {
        "id": "lj73v09SKw7W"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "A few words of advice on making sense of BPMD results:\n",
        "1. The lower (more negative) the CompScore, the more likely a given pose to be the correct pose. 'Correct' here means a binding pose that is similar to a pose observed in an experimentally determined structure.\n",
        "2. PoseScore, being a more objective measure than ContactScore, should be given a slighlty higher weight when the CompScores of two poses are very similar.\n",
        "3. The standard deviations of the scores might seem really high when compared to the scores themselves. Short metadynamics simulations are known to be very noisy and this is expected. In my experience, poses with lower SD also tend to be have a lower RMSD to the known pose. Therefore, SD is a useful indicator of confidence.\n",
        "4. CompScores should only be compared between poses of the same ligand, not for comparing stability of different ligands. The correlation between the CompScore of single pose of a ligand and its potency as has not been investigated."
      ],
      "metadata": {
        "id": "mYcevGXzK0rQ"
      }
    }
  ]
}