{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Analyze Covid RBD Data\n",
    "\n",
    "This tutorial covers a brief example of how to analyze and prepare Alphaseq data for model ingestion. For simplicity, we refer to the Alphaseq log10-$K_d$ as $K_d$.\n",
    "\n",
    "We cover the following:\n",
    "\n",
    "- Investigating affinity distributions\n",
    "- Assessing relative performance of binding\n",
    "- Pre-processing data for a PPI model "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load the dataset\n",
    "We fetch an example dataset with `COVID_YM005`. This dataset is a panel of antibodies in 2 orientations against a site-saturation mutagenesis (SSM) of the COVID RBD. In this dataset, the `mata` library are COVID scFv binders, and the `alpha` library are SSMs of the covid RBD. The wildtype \"WT\" is defined by a canonical sequence of a SARS-Cov-2 RBD.\n",
    "\n",
    "We load the dataset below:\n",
    "                           "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ubuntu/anaconda3/envs/nsml/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mata_description</th>\n",
       "      <th>mata_sequence</th>\n",
       "      <th>matalpha_description</th>\n",
       "      <th>matalpha_sequence</th>\n",
       "      <th>alphaseq_affinity</th>\n",
       "      <th>alphaseq_affinity_lower_bound</th>\n",
       "      <th>alphaseq_affinity_upper_bound</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...</td>\n",
       "      <td>A157D_GAT</td>\n",
       "      <td>RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.727013</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...</td>\n",
       "      <td>A157E_GAA</td>\n",
       "      <td>RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.634238</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...</td>\n",
       "      <td>A157F_TTT</td>\n",
       "      <td>RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.964184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...</td>\n",
       "      <td>A157G_GGT</td>\n",
       "      <td>RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...</td>\n",
       "      <td>3.61569</td>\n",
       "      <td>4.293472</td>\n",
       "      <td>2.937909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...</td>\n",
       "      <td>A157H_CAT</td>\n",
       "      <td>RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.865760</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  mata_description                                      mata_sequence  \\\n",
       "0        ACE2_Full  QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...   \n",
       "1        ACE2_Full  QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...   \n",
       "2        ACE2_Full  QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...   \n",
       "3        ACE2_Full  QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...   \n",
       "4        ACE2_Full  QSTIEEQAKTFLDKFNHEAEDLFYQSSLASWNYNTNITEENVQNMN...   \n",
       "\n",
       "  matalpha_description                                  matalpha_sequence  \\\n",
       "0            A157D_GAT  RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...   \n",
       "1            A157E_GAA  RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...   \n",
       "2            A157F_TTT  RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...   \n",
       "3            A157G_GGT  RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...   \n",
       "4            A157H_CAT  RVQPTESIVRFPNITNLCPFGEVFNATRFASVYAWNRKRISNCVAD...   \n",
       "\n",
       "   alphaseq_affinity  alphaseq_affinity_lower_bound  \\\n",
       "0                NaN                            NaN   \n",
       "1                NaN                            NaN   \n",
       "2                NaN                            NaN   \n",
       "3            3.61569                       4.293472   \n",
       "4                NaN                            NaN   \n",
       "\n",
       "   alphaseq_affinity_upper_bound  \n",
       "0                       3.727013  \n",
       "1                       2.634238  \n",
       "2                       3.964184  \n",
       "3                       2.937909  \n",
       "4                       3.865760  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"hf://datasets/aalphabio/COVID_YM005/YM_005.csv\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For plotting simplicity, we perform a small str change to the description columns to enable easier plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mata_plot_description</th>\n",
       "      <th>matalpha_plot_description</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>A157D</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>A157E</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>A157F</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>A157G</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ACE2_Full</td>\n",
       "      <td>A157H</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  mata_plot_description matalpha_plot_description\n",
       "0             ACE2_Full                     A157D\n",
       "1             ACE2_Full                     A157E\n",
       "2             ACE2_Full                     A157F\n",
       "3             ACE2_Full                     A157G\n",
       "4             ACE2_Full                     A157H"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"mata_plot_description\"] = df[\"mata_description\"].str.replace(\"CoV_binder_\", \"\")\n",
    "df[\"matalpha_plot_description\"] = df[\"matalpha_description\"].apply(\n",
    "    lambda x: x.split(\"_\")[0].split(\"|\")[0].replace(\"syn\", \"\")\n",
    ")\n",
    "df[[\"mata_plot_description\", \"matalpha_plot_description\"]].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyze technical replicates\n",
    "\n",
    "One of the first things we observe is the affinity of the full distribution, including replicates. This allows us to estimate the upper and lower bounds of the binders."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(1, 1)\n",
    "sns.histplot(data=df, x=\"alphaseq_affinity\", ax=ax, stat=\"probability\")\n",
    "ax.set_xticks(np.arange(-1, 6.1, 0.5))\n",
    "ax.set_xlabel(r\"Alphaseq log10 $K_d$\")\n",
    "ax.set_ylabel(\"P(x)\")\n",
    "ax.set_title(\"Affinity distribution across data\")\n",
    "f.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Many of the binders exhibit $K_d < 3$; this suggests (as expected) many of the antibodies tested bind the target of interest.\n",
    "\n",
    "Next, we want to establish a \"baseline\" affinity for each binder in reference to the WT antigen. We gather the WT replicates for each unique binder. We observe the distribution as a function of the binders by plotting the `alphaseq_affinity` as a function of `mata_description`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of replicates per binder= 13.0\n"
     ]
    }
   ],
   "source": [
    "wt = df[\n",
    "    (df.matalpha_description.str.contains(\"WT\"))\n",
    "    | (df.matalpha_description == \"SARS-CoV2_RBD_(6LZG)\")\n",
    "].reset_index(drop=True)\n",
    "\n",
    "print(\"Number of replicates per binder=\", wt.shape[0] / wt.mata_description.nunique())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sort binder names such that 1_HL/1_LH are partnered together\n",
    "\n",
    "binders = sorted(\n",
    "    wt.mata_plot_description.unique(),\n",
    "    key=lambda s: (\n",
    "        (m := re.match(r\"^(\\d+)_([A-Za-z]+)$\", s)) is None,\n",
    "        int(m.group(1)) if m else 0,\n",
    "        m.group(2).upper() if m else s,\n",
    "    ),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(1, 1, figsize=(20, 6))\n",
    "sns.boxplot(\n",
    "    data=wt,\n",
    "    x=\"mata_plot_description\",\n",
    "    y=\"alphaseq_affinity\",\n",
    "    ax=ax,\n",
    "    order=binders,\n",
    ")\n",
    "plt.xticks(rotation=45, ha=\"right\")\n",
    "ax.set_xlabel(\"Binder\")\n",
    "ax.set_ylabel(r\"Alphaseq log10 $K_d$\")\n",
    "ax.set_title(\"Affinity of WT per binder\")\n",
    "f.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clean and prepare data for ML\n",
    "\n",
    "Our next step is to create an aggregate PPI per unique (`sequence_a`, `sequence_alpha`) pair. To handle technical replicates above, we average affinities across these values. We also minimally clean the dataset to remove NaN values for affinity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Unique A/Alpha pairs 90949\n"
     ]
    }
   ],
   "source": [
    "# Drop NaN vlaues\n",
    "df = df.dropna(subset=\"alphaseq_affinity\").reset_index(drop=True)\n",
    "ppis = df.groupby([\"mata_sequence\", \"matalpha_sequence\"], as_index=False).agg(\n",
    "    {\n",
    "        (col if col != \"alphaseq_affinity\" else \"alphaseq_affinity\"): (\n",
    "            \"first\" if col != \"alphaseq_affinity\" else \"mean\"\n",
    "        )\n",
    "        for col in df.columns\n",
    "    }\n",
    ")\n",
    "print(\"Unique A/Alpha pairs\", ppis.shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With that, our `ppis` dataframe represents minimally ML-ready data if you are interested in PPI sequence to function (affinity) performance.\n",
    "\n",
    "## Analyze the difference in affinity\n",
    "\n",
    "We now observe the affinity distribution for all unique PPIs; the replicates hardly affect the bulk distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(1, 1)\n",
    "sns.histplot(data=ppis, x=\"alphaseq_affinity\", ax=ax, stat=\"probability\")\n",
    "ax.set_xticks(np.arange(-1, 6.1, 0.5))\n",
    "ax.set_xlabel(r\"Alphaseq log10 $K_d$\")\n",
    "ax.set_ylabel(\"P(x)\")\n",
    "ax.set_title(\"Affinity distribution across unique PPIs\")\n",
    "f.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now want to compute the $\\Delta K_d$, or the difference in binding strength of variants of the RBD to a given binder versus the WT. We use our \"wt\" dict as a reference per binder. For cases where WT binding is not defined, we make the decision to placehold this value as \"NaN\" and not make comparisons. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "wtseq = df[df.matalpha_description.str.contains(\"WT\")].matalpha_sequence.iloc[0]\n",
    "\n",
    "# Get the WT RBD binding to each binder as a reference\n",
    "wtKd = (\n",
    "    ppis[ppis.matalpha_sequence == wtseq]\n",
    "    .set_index(\"mata_plot_description\")[\"alphaseq_affinity\"]\n",
    "    .to_dict()\n",
    ")\n",
    "ppis[\"ref_aff\"] = ppis[\"mata_plot_description\"].apply(lambda x: wtKd.get(x, None))\n",
    "\n",
    "# Compute the difference in binding affinity between variants and the reference\n",
    "ppis[\"delta_aff\"] = ppis[\"alphaseq_affinity\"] - ppis[\"ref_aff\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each binder, we now compute the difference in affinity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(1, 1, figsize=(20, 6))\n",
    "sns.boxplot(\n",
    "    data=ppis,\n",
    "    x=\"mata_plot_description\",\n",
    "    y=\"delta_aff\",\n",
    "    ax=ax,\n",
    "    order=binders,\n",
    ")\n",
    "ax.plot(np.arange(-1, 75), np.zeros(76), \"r--\", linewidth=2)\n",
    "ax.set_xlim([-1, 64])\n",
    "plt.xticks(rotation=45, ha=\"right\")\n",
    "ax.set_xlabel(\"Binder\")\n",
    "ax.set_ylabel(r\"Alphaseq log10 $K_d$\")\n",
    "ax.set_title(\"Delta-Affinity of WT per binder\")\n",
    "f.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For a given binder, we can also construct heatmaps of the binding changes as a function of mutation. First, we collect the mutations and their positions on the target protein."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Filter for only mutation data\n",
    "ppis_filt = ppis[\n",
    "    ppis[\"matalpha_plot_description\"].astype(str).str.contains(r\"\\d\", na=False)\n",
    "]\n",
    "ppis_filt = ppis_filt[\n",
    "    ~ppis_filt[\"matalpha_plot_description\"].str.contains(\"SARS\")\n",
    "].reset_index(drop=True)\n",
    "ppis_filt[\"position\"] = ppis_filt[\"matalpha_plot_description\"].apply(\n",
    "    lambda x: int(x[1:-1])\n",
    ")\n",
    "ppis_filt[\"mutation\"] = ppis_filt[\"matalpha_plot_description\"].apply(lambda x: x[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot a heatmap of position to amino-acid to get a rough epitope map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "AAs = [\n",
    "    \"A\",\n",
    "    \"R\",\n",
    "    \"N\",\n",
    "    \"D\",\n",
    "    \"C\",\n",
    "    \"E\",\n",
    "    \"Q\",\n",
    "    \"G\",\n",
    "    \"H\",\n",
    "    \"I\",\n",
    "    \"L\",\n",
    "    \"K\",\n",
    "    \"M\",\n",
    "    \"F\",\n",
    "    \"P\",\n",
    "    \"S\",\n",
    "    \"T\",\n",
    "    \"W\",\n",
    "    \"Y\",\n",
    "    \"V\",\n",
    "]\n",
    "BINDER = \"1_HL\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "binder_df = ppis_filt[ppis_filt.mata_plot_description == BINDER].reset_index(drop=True)\n",
    "mat = binder_df.pivot(index=\"position\", columns=\"mutation\", values=\"delta_aff\")\n",
    "f, ax = plt.subplots(1, 1, figsize=(12, 4))\n",
    "sns.heatmap(\n",
    "    data=mat.T,\n",
    "    ax=ax,\n",
    "    cmap=\"RdBu_r\",\n",
    ")\n",
    "ax.set_xlabel(\"Position\")\n",
    "ax.set_ylabel(\"AA\")\n",
    "ax.set_title(\"SSM sensitivty of \" + BINDER)\n",
    "f.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general we see for this example binder, that most SSM variants of the RBD actually decrease binding strength to the antibody of interest, highlight potential escape trajectories."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "With that, we have processed a simple example notebook to help navigate the data, learn interesting findings, and prepare the dataset for ML ingestion."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "nsml",
   "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": "3.11.14"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}