sshojiro/BRICS.ipynb

## BRICS.ipynb
{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "BRICS.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-N__ol_0VQsq",
        "colab_type": "text"
      },
      "source": [
        "# BRICS Decomposition and Structure Generation\n",
        "\n",
        "Reference: [BRICS Guide - RDKit](https://rdkit.readthedocs.io/en/latest/GettingStartedInPython.html#brics-implementation)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fkUJAS3G8xWB",
        "colab_type": "code",
        "outputId": "862a000b-0bbc-4c5d-a743-18000d6e1c9a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 325
        }
      },
      "source": [
        "!git clone https://github.com/HIPS/neural-fingerprint.git\n",
        "import pandas as pd\n",
        "df = pd.read_csv('./neural-fingerprint/data/2015-05-24-delaney/delaney-processed.csv')\n",
        "\n",
        "!curl -Lo rdkit_installer.py https://git.io/fxiPZ\n",
        "import rdkit_installer\n",
        "%time rdkit_installer.install()\n",
        "import rdkit"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "fatal: destination path 'neural-fingerprint' already exists and is not an empty directory.\n",
            "  % Total    % Received % Xferd  Average Speed   Time    Time     Time  Current\n",
            "                                 Dload  Upload   Total   Spent    Left  Speed\n",
            "  0     0    0     0    0     0      0      0 --:--:-- --:--:-- --:--:--     0\n",
            "100  2415  100  2415    0     0   5616      0 --:--:-- --:--:-- --:--:--  5616\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "stream",
          "text": [
            "add /root/miniconda/lib/python3.6/site-packages to PYTHONPATH\n",
            "python version: 3.6.8\n",
            "fetching installer from https://repo.continuum.io/miniconda/Miniconda3-latest-Linux-x86_64.sh\n",
            "done\n",
            "installing miniconda to /root/miniconda\n",
            "done\n",
            "installing rdkit\n",
            "done\n",
            "rdkit-2019.03.4 installation finished!\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "stream",
          "text": [
            "CPU times: user 264 ms, sys: 155 ms, total: 419 ms\n",
            "Wall time: 56.1 s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TpO7grlAVnqD",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from rdkit.Chem import BRICS, Draw\n",
        "from rdkit.Chem.Draw import IPythonConsole"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-5NNWP-0WCrD",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from rdkit import Chem\n",
        "mols = [Chem.MolFromSmiles(smi) for smi in df['smiles']]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cdD_x3zJXDpp",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 167
        },
        "outputId": "78ae798f-d4d5-4cb7-ec0c-c94a7fb8783e"
      },
      "source": [
        "mols[0]"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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3BUml0uzsbN0FZWVlcrnc1dV14MCR5ubEwoJIJKTN/aeerrGxUSgUikQibtaXz507BwCe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\nD6RDIQM+0uzVAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<rdkit.Chem.rdchem.Mol at 0x7fbbf5e38210>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LWHNJh9mWLXV",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "outputId": "641197fb-b101-4d51-c66a-c5616891977a"
      },
      "source": [
        "sma = Chem.BRICS.BRICSDecompose(mols[0])\n",
        "Draw.MolsToGridImage([Chem.MolFromSmiles(smi)for smi in sma], molsPerRow=4)"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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1uXLlyqsvN63fx9WePXtsbW2HDBnCH1d//PFH3759WSd9VRovWHZ2dl9++eX0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\nQmCC\n",
            "text/plain": [
              "<PIL.PngImagePlugin.PngImageFile image mode=RGB size=800x400 at 0x7FBBF5D2C588>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ww147_pSX4Cv",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "9eba4d16-f4fc-4f10-f0f4-6f52963d2562"
      },
      "source": [
        "frags_brics = set()\n",
        "for mol in mols:\n",
        "  pieces = Chem.BRICS.BRICSDecompose(mol)\n",
        "  frags_brics.update(pieces)\n",
        "print(len(frags_brics))"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "1028\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "My_Hhm66YLNg",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import random\n",
        "\n",
        "random.seed(42)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VD2l_wm1YF_k",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "frags = [Chem.MolFromSmiles(smiles) for smiles in frags_brics]\n",
        "gen_brics = BRICS.BRICSBuild(frags)\n",
        "products = [next(gen_brics) for _ in range(10)]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "t8gu34UvYnrb",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 817
        },
        "outputId": "a238a9f4-129d-47e5-b768-b6ff4a6cea4e"
      },
      "source": [
        "Draw.MolsToGridImage(products, molsPerRow=3)\n"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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AGjYkIqpblxITiYj+9z86doxu37Zsu4rj6dOn+/fvz8rKatmyZfv27S3dHCgf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\nfaLjAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<PIL.PngImagePlugin.PngImageFile image mode=RGB size=600x800 at 0x7FBBF5D4F7F0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 30
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oyQ-eBhfY9k6",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}