thresholds.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "increased-gathering",
   "metadata": {},
   "source": [
    "# Establishment of Antibody Level Cutoffs\n",
    "\n",
    "The analysis below was performed to establish antibody level cutoffs for differentiating between positive and negative subjects. Cutoffs were chosen on a cohort of controls comprising PCR-positives and pre-pandemic negatives."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "passive-grant",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imports & setup\n",
    "import os\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import re\n",
    "\n",
    "import pandas as pd\n",
    "from pandas import read_csv\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "CB_COLOR_CYCLE = ['#377eb8', '#ff7f00', '#4daf4a', '#f781bf', '#a65628', '#984ea3', '#999999', '#e41a1c', \n",
    "                  '#dede00']\n",
    "matplotlib.rcParams['pdf.fonttype'] = 42\n",
    "matplotlib.rcParams['ps.fonttype'] = 42\n",
    "\n",
    "import seaborn as sns\n",
    "\n",
    "import scipy.stats as stats\n",
    "\n",
    "from sklearn.manifold import TSNE\n",
    "from sklearn.decomposition import PCA, SparsePCA\n",
    "from sklearn.mixture import BayesianGaussianMixture\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import normalized_mutual_info_score as nmi\n",
    "from sklearn.model_selection import KFold, StratifiedKFold, train_test_split\n",
    "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
    "from sklearn.metrics import (balanced_accuracy_score, r2_score, confusion_matrix, recall_score, \n",
    "                             roc_auc_score, average_precision_score, roc_curve)\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.inspection import plot_partial_dependence\n",
    "\n",
    "import xgboost as xgb\n",
    "\n",
    "import networkx as nx\n",
    "\n",
    "from data_loader import construct_tcell_df, construct_mfi_df\n",
    "from bootstrap_utils import (run_repeated_CV_XGB, boot_train_test_XGB, boot_train_test_LR, boot_train_test_random, \n",
    "                             boot_train_test_feature, boot_feature_selection, boot_feature_selection_LR)\n",
    "from misc_utils import (print_perf_statistics, count_underexpressed_cells_assay, measure_CV_assay, measure_CV_IAC)\n",
    "from plotting_utils import (parcoord_plot, plot_errorbars, parcoord_plot_sep, \n",
    "                            plot_hist_assay_by_tretament, plot_hist_assay_by_tretament_mfi, \n",
    "                            plot_corr_assay, plot_by_symptoms, plot_assay_ecdfs, plot_roc, plotting_setup)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "arabic-footwear",
   "metadata": {},
   "outputs": [],
   "source": [
    "sensitivity = recall_score\n",
    "\n",
    "\n",
    "def specificity(y_true, y_pred):\n",
    "    return balanced_accuracy_score(y_true, y_pred) * 2 - recall_score(y_true, y_pred)\n",
    "\n",
    "\n",
    "def eval_thresholds(scores, labels):\n",
    "    ths = np.zeros((len(scores) - 1, ))\n",
    "    bas = np.zeros((len(scores) - 1, ))\n",
    "    scores_sorted = np.sort(np.copy(scores))\n",
    "    for i in range(len(scores) - 1):\n",
    "        th_i = (scores_sorted[i] + scores_sorted[i + 1]) / 2\n",
    "        ths[i] = th_i\n",
    "        preds_i = (scores >= th_i) * 1.0\n",
    "        bas[i] = balanced_accuracy_score(y_true=labels, y_pred=preds_i)\n",
    "    return ths, bas\n",
    "\n",
    "def eval_thresholds_sens(scores, labels):\n",
    "    ths = np.zeros((len(scores) - 1, ))\n",
    "    bas = np.zeros((len(scores) - 1, ))\n",
    "    scores_sorted = np.sort(np.copy(scores))\n",
    "    for i in range(len(scores) - 1):\n",
    "        th_i = (scores_sorted[i] + scores_sorted[i + 1]) / 2\n",
    "        ths[i] = th_i\n",
    "        preds_i = (scores >= th_i) * 1.0\n",
    "        bas[i] = sensitivity(y_true=labels, y_pred=preds_i)\n",
    "    return ths, bas\n",
    "\n",
    "def eval_thresholds_spec(scores, labels):\n",
    "    ths = np.zeros((len(scores) - 1, ))\n",
    "    bas = np.zeros((len(scores) - 1, ))\n",
    "    scores_sorted = np.sort(np.copy(scores))\n",
    "    for i in range(len(scores) - 1):\n",
    "        th_i = (scores_sorted[i] + scores_sorted[i + 1]) / 2\n",
    "        ths[i] = th_i\n",
    "        preds_i = (scores >= th_i) * 1.0\n",
    "        bas[i] = specificity(y_true=labels, y_pred=preds_i)\n",
    "    return ths, bas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "domestic-timeline",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the data\n",
    "# NB: low_memory=False is needed to deal with mixed type variables\n",
    "df_pos = read_csv(filepath_or_buffer=\"data/C+_data.csv\", low_memory=False)\n",
    "df_neg = read_csv(filepath_or_buffer=\"data/C-_data.csv\", low_memory=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "acknowledged-moral",
   "metadata": {},
   "source": [
    "### RBD IgG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "facial-blues",
   "metadata": {},
   "outputs": [],
   "source": [
    "RBD_IgG_pos = df_pos['RBD_IgG'].values.astype(float)\n",
    "RBD_IgG_pos = RBD_IgG_pos[np.logical_not(np.isnan(RBD_IgG_pos))]\n",
    "RBD_IgG_neg = df_neg['RBD_IgG'].values.astype(float)\n",
    "RBD_IgG_neg = RBD_IgG_neg[np.logical_not(np.isnan(RBD_IgG_neg))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "opposed-nickel",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting_setup(24)\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "h1 = plt.hist(np.log(RBD_IgG_pos + 1e-14), bins=100, alpha=0.25, color='tab:orange', label='positive', \n",
    "              edgecolor='black')\n",
    "h2 = plt.hist(np.log(RBD_IgG_neg + 1e-14), bins=100, alpha=0.25, color='tab:blue', label='negative', \n",
    "              edgecolor='black')\n",
    "plt.ylabel('Frequency')\n",
    "plt.xlabel('$\\ln$ RBD IgG Level')\n",
    "l = plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "literary-tissue",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "112\n",
      "0.5\n",
      "0.5\n"
     ]
    }
   ],
   "source": [
    "RBD_IgG = np.concatenate((RBD_IgG_neg, RBD_IgG_pos))\n",
    "disease_status = np.concatenate((np.zeros_like(RBD_IgG_neg), np.ones_like(RBD_IgG_pos)))\n",
    "# Total number of subjects\n",
    "print(len(RBD_IgG))\n",
    "print(len(RBD_IgG_neg) / len(RBD_IgG))\n",
    "print(len(RBD_IgG_pos) / len(RBD_IgG))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "possible-mississippi",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "roc_data_RBD = roc_curve(y_true=disease_status, y_score=RBD_IgG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "novel-visitor",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "ths, bas = eval_thresholds(scores=RBD_IgG, labels=disease_status)\n",
    "ths, senss = eval_thresholds_sens(scores=RBD_IgG, labels=disease_status)\n",
    "ths, specs = eval_thresholds_spec(scores=RBD_IgG, labels=disease_status)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "distinguished-wales",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[27.2  31.7  38.8  52.75 67.5 ]\n",
      "[0.964 0.955 0.964 0.973 0.964]\n"
     ]
    }
   ],
   "source": [
    "# Optimal thresholds\n",
    "print(np.squeeze(ths[np.min(np.argwhere(bas > 0.96)):(np.max(np.argwhere(bas > 0.96)) + 1)]))\n",
    "print(np.squeeze(np.round(bas[np.min(np.argwhere(bas > 0.96)):(np.max(np.argwhere(bas > 0.96)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "vanilla-flooring",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.964 0.946 0.946 0.946 0.929]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(senss[np.min(np.argwhere(bas > 0.96)):(np.max(np.argwhere(bas > 0.96)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "seventh-radiation",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.964 0.964 0.982 1.    1.   ]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(specs[np.min(np.argwhere(bas > 0.96)):(np.max(np.argwhere(bas > 0.96)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "tamil-inquiry",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ths[np.logical_and(ths >= 10, ths <= 150)], bas[np.logical_and(ths >= 10, ths <= 150)], \n",
    "         marker='o', markersize=2.5)\n",
    "plt.xlabel('RBD IgG Level')\n",
    "_ = plt.ylabel('BA')\n",
    "opt_th = np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.96)):(np.max(np.argwhere(bas > 0.96)) + 1)], 4))\n",
    "plt.axvline(opt_th[0], c='red')\n",
    "_ = plt.axvline(opt_th[-1], c='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "inappropriate-brooklyn",
   "metadata": {},
   "source": [
    "### N IgG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "altered-consideration",
   "metadata": {},
   "outputs": [],
   "source": [
    "N_IgG_pos = df_pos['N_IgG'].values.astype(float)\n",
    "N_IgG_pos = N_IgG_pos[np.logical_not(np.isnan(N_IgG_pos))]\n",
    "N_IgG_neg = df_neg['N_IgG'].values.astype(float)\n",
    "N_IgG_neg = N_IgG_neg[np.logical_not(np.isnan(N_IgG_neg))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "starting-wholesale",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8787645850>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting_setup(24)\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "h1 = plt.hist(np.log(N_IgG_pos + 1e-14), bins=150, alpha=0.25, color='tab:orange', label='positive', \n",
    "              edgecolor='black')\n",
    "h2 = plt.hist(np.log(N_IgG_neg + 1e-14), bins=150, alpha=0.25, color='tab:blue', label='negative', \n",
    "              edgecolor='black')\n",
    "plt.ylabel('Frequency')\n",
    "plt.xlabel('$\\ln$ N IgG Level')\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "moved-greensboro",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "112\n",
      "0.5\n",
      "0.5\n"
     ]
    }
   ],
   "source": [
    "N_IgG = np.concatenate((N_IgG_neg, N_IgG_pos))\n",
    "disease_status = np.concatenate((np.zeros_like(N_IgG_neg), np.ones_like(N_IgG_pos)))\n",
    "# Total number of subjects\n",
    "print(len(N_IgG))\n",
    "print(len(N_IgG_neg) / len(N_IgG))\n",
    "print(len(N_IgG_pos) / len(N_IgG))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "overhead-heading",
   "metadata": {},
   "outputs": [],
   "source": [
    "roc_data_N = roc_curve(y_true=disease_status, y_score=N_IgG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "sophisticated-compensation",
   "metadata": {},
   "outputs": [],
   "source": [
    "ths, bas = eval_thresholds(scores=N_IgG, labels=disease_status)\n",
    "ths, senss = eval_thresholds_sens(scores=N_IgG, labels=disease_status)\n",
    "ths, specs = eval_thresholds_spec(scores=N_IgG, labels=disease_status)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "valuable-census",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.05 0.1  0.1  0.1  0.1  0.1  0.1  0.15 0.2  0.2  0.25 0.45 0.7  1.\n",
      " 1.25 1.45 1.75 2.5  3.15 6.75]\n",
      "[0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.902 0.902 0.902 0.893 0.884\n",
      " 0.875 0.884 0.893 0.902 0.893 0.884 0.875 0.866]\n"
     ]
    }
   ],
   "source": [
    "# Optimal thresholds\n",
    "print(np.squeeze(np.round(ths[np.min(np.argwhere(bas >= 0.866)):(np.max(np.argwhere(bas >= 0.866)) + 1)], 3)))\n",
    "print(np.squeeze(np.round(bas[np.min(np.argwhere(bas >= 0.866)):(np.max(np.argwhere(bas >= 0.866)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "communist-mayor",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.911 0.911 0.911 0.911 0.911 0.911 0.911 0.875 0.875 0.875 0.839 0.821\n",
      " 0.804 0.804 0.804 0.804 0.786 0.768 0.75  0.732]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(senss[np.min(np.argwhere(bas >= 0.866)):(np.max(np.argwhere(bas >= 0.866)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "mature-beach",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.839 0.839 0.839 0.839 0.839 0.839 0.839 0.929 0.929 0.929 0.946 0.946\n",
      " 0.946 0.964 0.982 1.    1.    1.    1.    1.   ]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(specs[np.min(np.argwhere(bas >= 0.866)):(np.max(np.argwhere(bas >= 0.866)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "visible-stationery",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ths[np.logical_and(ths >= 0.005, ths <= 30)], bas[np.logical_and(ths >= 0.005, ths <= 30)], \n",
    "         marker='o', markersize=2.5)\n",
    "plt.xlabel('N IgG Level')\n",
    "_ = plt.ylabel('BA')\n",
    "opt_th = np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.865)):(np.max(np.argwhere(bas > 0.865)) + 1)], 4))\n",
    "plt.axvline(opt_th[0], c='red')\n",
    "_ = plt.axvline(opt_th[-1], c='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "agricultural-cemetery",
   "metadata": {},
   "source": [
    "### S2 IgG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "enormous-scheduling",
   "metadata": {},
   "outputs": [],
   "source": [
    "S2_IgG_pos = df_pos['S2_IgG'].values.astype(float)\n",
    "S2_IgG_pos = S2_IgG_pos[np.logical_not(np.isnan(S2_IgG_pos))]\n",
    "S2_IgG_neg = df_neg['S2_IgG'].values.astype(float)\n",
    "S2_IgG_neg = S2_IgG_neg[np.logical_not(np.isnan(S2_IgG_neg))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "worst-bailey",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f87871f1f40>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting_setup(24)\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "h1 = plt.hist(np.log(S2_IgG_pos + 1e-14), bins=150, alpha=0.25, color='tab:orange', label='positive', \n",
    "              edgecolor='black')\n",
    "h2 = plt.hist(np.log(S2_IgG_neg + 1e-14), bins=150, alpha=0.25, color='tab:blue', label='negative', \n",
    "              edgecolor='black')\n",
    "plt.ylabel('Frequency')\n",
    "plt.xlabel('$\\ln$ S2 IgG Level')\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "documentary-particle",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "112\n",
      "0.5\n",
      "0.5\n"
     ]
    }
   ],
   "source": [
    "S2_IgG = np.concatenate((S2_IgG_neg, S2_IgG_pos))\n",
    "disease_status = np.concatenate((np.zeros_like(S2_IgG_neg), np.ones_like(S2_IgG_pos)))\n",
    "# Total number of subjects\n",
    "len(S2_IgG)\n",
    "print(len(S2_IgG))\n",
    "print(len(S2_IgG_neg) / len(S2_IgG))\n",
    "print(len(S2_IgG_pos) / len(S2_IgG))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "dynamic-bottle",
   "metadata": {},
   "outputs": [],
   "source": [
    "roc_data_S2 = roc_curve(y_true=disease_status, y_score=S2_IgG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "latter-turning",
   "metadata": {},
   "outputs": [],
   "source": [
    "ths, bas = eval_thresholds(scores=S2_IgG, labels=disease_status)\n",
    "ths, senss = eval_thresholds_sens(scores=S2_IgG, labels=disease_status)\n",
    "ths, specs = eval_thresholds_spec(scores=S2_IgG, labels=disease_status)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "cosmetic-camcorder",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.6  1.85 8.9 ]\n",
      "[0.973 0.982 0.973]\n"
     ]
    }
   ],
   "source": [
    "# Optimal thresholds\n",
    "print(np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.97)):(np.max(np.argwhere(bas > 0.97)) + 1)], 4)))\n",
    "print(np.squeeze(np.round(bas[np.min(np.argwhere(bas > 0.97)):(np.max(np.argwhere(bas > 0.97)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "flexible-vietnamese",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.964 0.964 0.946]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(senss[np.min(np.argwhere(bas > 0.97)):(np.max(np.argwhere(bas > 0.97)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "polish-america",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.982 1.    1.   ]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(specs[np.min(np.argwhere(bas > 0.97)):(np.max(np.argwhere(bas > 0.97)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "isolated-barrel",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ths[np.logical_and(ths >= 0.1, ths <= 30)], bas[np.logical_and(ths >= 0.1, ths <= 30)], \n",
    "         marker='o', markersize=2.5)\n",
    "plt.xlabel('S2 IgG Level')\n",
    "_ = plt.ylabel('BA')\n",
    "opt_th = np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.97)):(np.max(np.argwhere(bas > 0.97)) + 1)], 4))\n",
    "plt.axvline(opt_th[0], c='red')\n",
    "_ = plt.axvline(opt_th[-1], c='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "everyday-calcium",
   "metadata": {},
   "source": [
    "### S1 IgG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "square-helen",
   "metadata": {},
   "outputs": [],
   "source": [
    "S1_IgG_pos = df_pos['S1_IgG'].values.astype(float)\n",
    "S1_IgG_pos = S1_IgG_pos[np.logical_not(np.isnan(S1_IgG_pos))]\n",
    "S1_IgG_neg = df_neg['S1_IgG'].values.astype(float)\n",
    "S1_IgG_neg = S1_IgG_neg[np.logical_not(np.isnan(S1_IgG_neg))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "acquired-track",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8786bd5b80>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting_setup(24)\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "h1 = plt.hist(np.log(S1_IgG_pos + 1e-14), bins=150, alpha=0.25, color='tab:orange', label='positive', \n",
    "              edgecolor='black')\n",
    "h2 = plt.hist(np.log(S1_IgG_neg + 1e-14), bins=150, alpha=0.25, color='tab:blue', label='negative', \n",
    "              edgecolor='black')\n",
    "plt.ylabel('Frequency')\n",
    "plt.xlabel('$\\ln$ S1 IgG Level')\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "critical-consensus",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "112\n",
      "0.5\n",
      "0.5\n"
     ]
    }
   ],
   "source": [
    "S1_IgG = np.concatenate((S1_IgG_neg, S1_IgG_pos))\n",
    "disease_status = np.concatenate((np.zeros_like(S1_IgG_neg), np.ones_like(S1_IgG_pos)))\n",
    "# Total number of subjects\n",
    "print(len(S1_IgG))\n",
    "print(len(S1_IgG_neg) / len(S1_IgG))\n",
    "print(len(S1_IgG_pos) / len(S1_IgG))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "spectacular-journal",
   "metadata": {},
   "outputs": [],
   "source": [
    "roc_data_S1 = roc_curve(y_true=disease_status, y_score=S1_IgG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "daily-popularity",
   "metadata": {},
   "outputs": [],
   "source": [
    "ths, bas = eval_thresholds(scores=S1_IgG, labels=disease_status)\n",
    "ths, senss = eval_thresholds_sens(scores=S1_IgG, labels=disease_status)\n",
    "ths, specs = eval_thresholds_spec(scores=S1_IgG, labels=disease_status)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "welsh-prague",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 7.1   8.3  14.3  22.5  33.45]\n",
      "[0.946 0.955 0.964 0.955 0.946]\n"
     ]
    }
   ],
   "source": [
    "# Optimal thresholds\n",
    "print(np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.945)):(np.max(np.argwhere(bas > 0.945)) + 1)], 4)))\n",
    "print(np.squeeze(np.round(bas[np.min(np.argwhere(bas > 0.945)):(np.max(np.argwhere(bas > 0.945)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "legal-newport",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.929 0.929 0.929 0.911 0.893]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(senss[np.min(np.argwhere(bas > 0.945)):(np.max(np.argwhere(bas > 0.945)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "subjective-heath",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.964 0.982 1.    1.    1.   ]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(specs[np.min(np.argwhere(bas > 0.945)):(np.max(np.argwhere(bas > 0.945)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "nutritional-complaint",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ths[np.logical_and(ths >= 6, ths <= 50)], bas[np.logical_and(ths >= 6, ths <= 50)], \n",
    "         marker='o', markersize=2.5)\n",
    "plt.xlabel('S1 IgG Level')\n",
    "_ = plt.ylabel('BA')\n",
    "opt_th = np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.945)):(np.max(np.argwhere(bas > 0.945)) + 1)], 4))\n",
    "plt.axvline(opt_th[0], c='red')\n",
    "_ = plt.axvline(opt_th[-1], c='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "enabling-discount",
   "metadata": {},
   "source": [
    "### nAB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "lucky-cause",
   "metadata": {},
   "outputs": [],
   "source": [
    "nAB_pos = df_pos['nAb'].values.astype(float)\n",
    "nAB_pos = nAB_pos[np.logical_not(np.isnan(nAB_pos))]\n",
    "nAB_neg = df_neg['nAb'].values.astype(float)\n",
    "nAB_neg = nAB_neg[np.logical_not(np.isnan(nAB_neg))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "occupational-plenty",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f878684ecd0>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting_setup(24)\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "h1 = plt.hist(np.log(nAB_pos + 1e-14), bins=150, alpha=0.25, color='tab:orange', label='positive', \n",
    "              edgecolor='black')\n",
    "h2 = plt.hist(np.log(nAB_neg + 1e-14), bins=150, alpha=0.25, color='tab:blue', label='negative', \n",
    "              edgecolor='black')\n",
    "plt.ylabel('Frequency')\n",
    "plt.xlabel('$\\ln$ nAB Level')\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "classical-prince",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "94\n",
      "0.425531914893617\n",
      "0.574468085106383\n"
     ]
    }
   ],
   "source": [
    "nAB = np.concatenate((nAB_neg, nAB_pos))\n",
    "disease_status = np.concatenate((np.zeros_like(nAB_neg), np.ones_like(nAB_pos)))\n",
    "# Total number of subjects\n",
    "print(len(nAB))\n",
    "print(len(nAB_neg) / len(nAB))\n",
    "print(len(nAB_pos) / len(nAB))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "dominican-booth",
   "metadata": {},
   "outputs": [],
   "source": [
    "roc_data_nAB = roc_curve(y_true=disease_status, y_score=nAB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "peripheral-mexican",
   "metadata": {},
   "outputs": [],
   "source": [
    "ths, bas = eval_thresholds(scores=nAB, labels=disease_status)\n",
    "ths, senss = eval_thresholds_sens(scores=nAB, labels=disease_status)\n",
    "ths, specs = eval_thresholds_spec(scores=nAB, labels=disease_status)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "civilian-reducing",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 5. 10. 10. 15. 20. 20. 20.]\n",
      "[0.972 0.972 0.972 0.944 0.944 0.944 0.944]\n"
     ]
    }
   ],
   "source": [
    "# Optimal thresholds\n",
    "print(np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.94)):(np.max(np.argwhere(bas > 0.94)) + 1)], 4)))\n",
    "print(np.squeeze(np.round(bas[np.min(np.argwhere(bas > 0.94)):(np.max(np.argwhere(bas > 0.94)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "alpha-reward",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.944 0.944 0.944 0.889 0.889 0.889 0.889]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(senss[np.min(np.argwhere(bas > 0.94)):(np.max(np.argwhere(bas > 0.94)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "dramatic-entry",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1. 1. 1. 1. 1. 1. 1.]\n"
     ]
    }
   ],
   "source": [
    "print(np.squeeze(np.round(specs[np.min(np.argwhere(bas > 0.94)):(np.max(np.argwhere(bas > 0.94)) + 1)], 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "advised-bristol",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ths[np.logical_and(ths >= 0.000005, ths <= 30)], bas[np.logical_and(ths >= 0.000005, ths <= 30)], \n",
    "         marker='o', markersize=2.5)\n",
    "plt.xlabel('nAB Level')\n",
    "_ = plt.ylabel('BA')\n",
    "opt_th = np.squeeze(np.round(ths[np.min(np.argwhere(bas > 0.94)):(np.max(np.argwhere(bas > 0.94)) + 1)], 4))\n",
    "plt.axvline(opt_th[0], c='red')\n",
    "_ = plt.axvline(opt_th[-1], c='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "entire-orlando",
   "metadata": {},
   "source": [
    "### Compound "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "processed-second",
   "metadata": {},
   "outputs": [],
   "source": [
    "RBD_pres_pos = np.logical_not(np.isnan(df_pos['RBD_IgG'].values.astype(float)))\n",
    "N_pres_pos = np.logical_not(np.isnan(df_pos['N_IgG'].values.astype(float)))\n",
    "S1_pres_pos = np.logical_not(np.isnan(df_pos['S1_IgG'].values.astype(float)))\n",
    "S2_pres_pos = np.logical_not(np.isnan(df_pos['S2_IgG'].values.astype(float)))\n",
    "incl_pos = np.logical_and(RBD_pres_pos, np.logical_and(N_pres_pos, np.logical_and(S1_pres_pos, S2_pres_pos)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "binary-disposition",
   "metadata": {},
   "outputs": [],
   "source": [
    "RBD_pres_neg = np.logical_not(np.isnan(df_neg['RBD_IgG'].values.astype(float)))\n",
    "N_pres_neg = np.logical_not(np.isnan(df_neg['N_IgG'].values.astype(float)))\n",
    "S1_pres_neg = np.logical_not(np.isnan(df_neg['S1_IgG'].values.astype(float)))\n",
    "S2_pres_neg = np.logical_not(np.isnan(df_neg['S2_IgG'].values.astype(float)))\n",
    "incl_neg = np.logical_and(RBD_pres_neg, np.logical_and(N_pres_neg, np.logical_and(S1_pres_neg, S2_pres_neg)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "equal-november",
   "metadata": {},
   "outputs": [],
   "source": [
    "cons_response_pos = np.logical_and(\n",
    "    (df_pos['RBD_IgG'].values.astype(float) >= 50)[incl_pos], \n",
    "    np.logical_or((df_pos['N_IgG'].values.astype(float) >= 5)[incl_pos],\n",
    "                  np.logical_or((df_pos['S1_IgG'].values.astype(float) >= 20)[incl_pos], \n",
    "                                (df_pos['S2_IgG'].values.astype(float) >= 5)[incl_pos])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "mounted-cover",
   "metadata": {},
   "outputs": [],
   "source": [
    "cons_response_neg = np.logical_and(\n",
    "    (df_neg['RBD_IgG'].values.astype(float) >= 50)[incl_neg], \n",
    "    np.logical_or((df_neg['N_IgG'].values.astype(float) >= 5)[incl_neg],\n",
    "                  np.logical_or((df_neg['S1_IgG'].values.astype(float) >= 20)[incl_neg], \n",
    "                                (df_neg['S2_IgG'].values.astype(float) >= 5)[incl_neg])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "abandoned-tribute",
   "metadata": {},
   "outputs": [],
   "source": [
    "cons_response = np.concatenate((cons_response_neg, cons_response_pos))\n",
    "disease_status = np.concatenate((np.zeros_like(cons_response_neg), np.ones_like(cons_response_pos)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "stuck-elite",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9732142857142857"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "balanced_accuracy_score(y_true=disease_status, y_pred=cons_response)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sought-circulation",
   "metadata": {},
   "source": [
    "### ROC Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "running-sleeve",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x2160 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting_setup(24)\n",
    "\n",
    "fig, ax = plt.subplots(3, 2, figsize=(20, 30))\n",
    "\n",
    "plot_roc(roc_data_RBD[1], roc_data_RBD[0], roc_data_RBD[2], title='RBD IgG', axes=ax[0, 0], label_every=2)\n",
    "plot_roc(roc_data_N[1], roc_data_N[0], roc_data_N[2], title='N IgG', axes=ax[0, 1], label_every=2)\n",
    "plot_roc(roc_data_S1[1], roc_data_S1[0], roc_data_S1[2], title='S1 IgG', axes=ax[1, 0], label_every=2)\n",
    "plot_roc(roc_data_S2[1], roc_data_S2[0], roc_data_S2[2], title='S2 IgG', axes=ax[1, 1], label_every=2)\n",
    "plot_roc(roc_data_nAB[1], roc_data_nAB[0], roc_data_nAB[2], title='nAb', axes=ax[2, 0], label_every=1)\n",
    "\n",
    "ax[2, 1].set_axis_off()\n",
    "\n",
    "l = ax[2, 0].legend(loc='lower right')\n",
    "\n",
    "plt.tight_layout(pad=4.0)\n",
    "\n",
    "plt.savefig(fname=\"figures/rocs_antibodies.svg\", dpi=300, bbox_inches='tight')\n",
    "plt.savefig(fname=\"figures/rocs_antibodies.pdf\", dpi=300, bbox_inches='tight')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}