check1_main.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "import scipy\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from Bio import SeqIO\n",
    "\n",
    "from helperFxns import lett2num, alg2bin, filterAln, simMat\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['A.fasta', 'B.fasta', 'C.fasta', 'D.fasta']\n",
      "After filtering, the number of filtered sequences for file A.fasta: 2984\n",
      "After filtering, the number of filtered positions for file A.fasta: 161\n",
      "The mean sequence identity for file A.fasta: 0.455\n",
      "After filtering, the number of filtered sequences for file B.fasta: 2888\n",
      "After filtering, the number of filtered positions for file B.fasta: 264\n",
      "The mean sequence identity for file B.fasta: 0.524\n",
      "After filtering, the number of filtered sequences for file C.fasta: 3154\n",
      "After filtering, the number of filtered positions for file C.fasta: 267\n",
      "The mean sequence identity for file C.fasta: 0.424\n",
      "After filtering, the number of filtered sequences for file D.fasta: 3519\n",
      "After filtering, the number of filtered positions for file D.fasta: 401\n",
      "The mean sequence identity for file D.fasta: 0.568\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "files = [file for file in os.listdir() if file.endswith('.fasta')]\n",
    "print(files)\n",
    "\n",
    "for file in files:\n",
    "    # read the file with the Bio.SeqIO module\n",
    "    encoding_file = file.split('.')[0] + '_one-hot.npy'\n",
    "    header_file = file.split('.')[0] + '_header.txt'\n",
    "    filter_header_file = file.split('.')[0] + '_filter_header.txt'\n",
    "    headers = []\n",
    "    seqs = []\n",
    "    for seq_record in SeqIO.parse(file, \"fasta\"):\n",
    "        header = '>' + str(seq_record.description)\n",
    "        headers.append(header)\n",
    "        seq = str(seq_record.seq)\n",
    "        seqs.append(seq)\n",
    "\n",
    "\n",
    "    with open(header_file, 'w') as f:\n",
    "        for header in headers:\n",
    "            f.write(header)\n",
    "            f.write('\\n')\n",
    "\n",
    "    # one-hot encode the sequences\n",
    "    num = lett2num(seqs, code='ACDEFGHIKLMNPQRSTVWY-')\n",
    "    bin = alg2bin(num, N_aa=21)\n",
    "\n",
    "    # filter out highly gapped positions and sequences according to the cutoff\n",
    "    hdFilter, seqFilter = filterAln(headers, num)\n",
    "\n",
    "    # print(seqFilter.shape)\n",
    "    print(\"After filtering, the number of filtered sequences for file {}: {}\".format(file, seqFilter.shape[0]))\n",
    "    print(\"After filtering, the number of filtered positions for file {}: {}\".format(file, seqFilter.shape[1]))\n",
    "    # print(len(hdFilter))\n",
    "\n",
    "    with open(filter_header_file, 'w') as f:\n",
    "        for header in hdFilter:\n",
    "            f.write(header)\n",
    "            f.write('\\n')\n",
    "\n",
    "    filter_bin = alg2bin(seqFilter, N_aa=21)\n",
    "\n",
    "    # compute a sequence identity matrix\n",
    "    sim = simMat(filter_bin, seqFilter.shape[1])\n",
    "\n",
    "    # sim is a symmetric matrix, get the values above the diagonal\n",
    "    sim_diag = sim[np.triu_indices(sim.shape[0], k=1)]\n",
    "    # convert to a shape (n,) array\n",
    "    sim_diag = np.array(sim_diag).reshape(-1)\n",
    "    \n",
    "    # calculate the mean of the sequence identities\n",
    "    mean_sim = np.mean(sim_diag)\n",
    "    print(\"The mean sequence identity for file {}: {}\".format(file, round(mean_sim, 3)))\n",
    "\n",
    "    # plot the histogram of sequence identities for each MSA\n",
    "    plt.figure()\n",
    "    plt.hist(sim_diag, bins=100)\n",
    "    plt.xlabel('Sequence identity')\n",
    "    plt.ylabel('Counts')\n",
    "    plt.title('Histogram of sequence identities of proteins in MSA_{}'.format(\n",
    "        file.split('.')[0]))\n",
    "    # plt.show()\n",
    "    plt.savefig(file.split('.')[0] + '_hist.png')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, MSA D shows the highest sequence identity to the query sequence, and we can conclude that MSA D is the most conserved MSA among the four MSAs.\n",
    "\n",
    "By plotting the sequence identity of each MSA, we can see that for MSA B, C, and D, the histogram has few peaks, which might indicate that there might be phylogenetic structure for the MSA. Further work, like phylogenetic tree construction, might be useful for further validation, and we are interested in such analysis in the future."
   ]
  }
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