577 lines (576 with data), 278.0 kB
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import glob\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import seaborn as sns; sns.set(color_codes=True)\n",
"from gensim.models.keyedvectors import KeyedVectors\n",
"from gensim.models import Word2Vec\n",
"from sklearn.decomposition import PCA\n",
"from sklearn import manifold,neighbors\n",
"from scipy.cluster.hierarchy import dendrogram, linkage, to_tree, fcluster,distance \n",
"from matplotlib import pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from Bio import SeqIO\n",
"from Bio.Align import MultipleSeqAlignment\n",
"from Bio.Phylo.TreeConstruction import DistanceCalculator, DistanceTreeConstructor\n",
"from Bio import Phylo\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"FASTA=\"/home/serge/deepcelllineage/mitolin/data/gen/nguyen_nc_2018/20190702-fastas-on-hpc/1739/20lines/\""
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"labels = []\n",
"ff = glob.glob(f\"{FASTA}*.fasta\")\n",
"fsts = []\n",
"sequences = []\n",
"for file in ff:\n",
" label = file.split(\"/\")[-1].split(\"_\")[0]\n",
" labels.append(label)\n",
" for record in SeqIO.parse(file, \"fasta\"):\n",
" fsts.append(list(str(record.seq))) \n",
" record.id=label;record.name=label;record.description=f\"{label} chrM\"\n",
" sequences.append(record)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['A04', 'A01', 'A07', 'A09', 'A06', 'A10', 'A12', 'A05', 'A03']"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"labels"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"diffs = [[0. for x in range(len(fsts))] for y in range(len(fsts))]\n",
"bits = {}\n",
"for i in range(0, len(fsts)):\n",
" for j in range (0, len(fsts)):\n",
" cntr = 0\n",
" bit = np.zeros(len(fsts[i]),dtype=int)\n",
" for k in range(len(fsts[i])):\n",
" if fsts[i][k] != fsts[j][k]: cntr +=1; bit[k] = 1\n",
" bits[(labels[i],labels[j])] = bit\n",
" diffs[i][j] = (1 - cntr/len(fsts[i]))*100"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(bits[(\"A12\",\"A07\")])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A03 and A04 are different in 5 mutations in respect to A01"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(149, ('A01', 'C'), ('A03', 'T'), ('A04', 'C')),\n",
" (194, ('A01', 'C'), ('A03', 'T'), ('A04', 'C')),\n",
" (722, ('A01', 'T'), ('A03', 'C'), ('A04', 'T')),\n",
" (822, ('A01', 'T'), ('A03', 'C'), ('A04', 'T')),\n",
" (962, ('A01', 'T'), ('A03', 'A'), ('A04', 'T'))]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"[(i,(\"A01\",fsts[0][i]), (\"A03\", fsts[labels.index(\"A03\")][i]), (\"A04\",fsts[labels.index(\"A04\")][i])) \n",
" for i, b in enumerate(bits[(\"A01\",\"A03\")] != bits[(\"A01\",\"A04\")]) if b]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"df=pd.DataFrame(data=diffs, columns = labels, index=labels) "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>A04</th>\n",
" <th>A01</th>\n",
" <th>A07</th>\n",
" <th>A09</th>\n",
" <th>A06</th>\n",
" <th>A10</th>\n",
" <th>A12</th>\n",
" <th>A05</th>\n",
" <th>A03</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>A04</th>\n",
" <td>100.000000</td>\n",
" <td>90.701754</td>\n",
" <td>99.912281</td>\n",
" <td>99.824561</td>\n",
" <td>78.421053</td>\n",
" <td>46.140351</td>\n",
" <td>99.912281</td>\n",
" <td>89.122807</td>\n",
" <td>99.561404</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A01</th>\n",
" <td>90.701754</td>\n",
" <td>100.000000</td>\n",
" <td>90.789474</td>\n",
" <td>90.701754</td>\n",
" <td>80.175439</td>\n",
" <td>45.964912</td>\n",
" <td>90.789474</td>\n",
" <td>80.000000</td>\n",
" <td>90.438596</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A07</th>\n",
" <td>99.912281</td>\n",
" <td>90.789474</td>\n",
" <td>100.000000</td>\n",
" <td>99.912281</td>\n",
" <td>78.333333</td>\n",
" <td>46.052632</td>\n",
" <td>100.000000</td>\n",
" <td>89.035088</td>\n",
" <td>99.649123</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A09</th>\n",
" <td>99.824561</td>\n",
" <td>90.701754</td>\n",
" <td>99.912281</td>\n",
" <td>100.000000</td>\n",
" <td>78.333333</td>\n",
" <td>46.140351</td>\n",
" <td>99.912281</td>\n",
" <td>88.947368</td>\n",
" <td>99.561404</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A06</th>\n",
" <td>78.421053</td>\n",
" <td>80.175439</td>\n",
" <td>78.333333</td>\n",
" <td>78.333333</td>\n",
" <td>100.000000</td>\n",
" <td>47.105263</td>\n",
" <td>78.333333</td>\n",
" <td>67.807018</td>\n",
" <td>78.333333</td>\n",
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" <tr>\n",
" <th>A10</th>\n",
" <td>46.140351</td>\n",
" <td>45.964912</td>\n",
" <td>46.052632</td>\n",
" <td>46.140351</td>\n",
" <td>47.105263</td>\n",
" <td>100.000000</td>\n",
" <td>46.052632</td>\n",
" <td>46.403509</td>\n",
" <td>46.140351</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A12</th>\n",
" <td>99.912281</td>\n",
" <td>90.789474</td>\n",
" <td>100.000000</td>\n",
" <td>99.912281</td>\n",
" <td>78.333333</td>\n",
" <td>46.052632</td>\n",
" <td>100.000000</td>\n",
" <td>89.035088</td>\n",
" <td>99.649123</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A05</th>\n",
" <td>89.122807</td>\n",
" <td>80.000000</td>\n",
" <td>89.035088</td>\n",
" <td>88.947368</td>\n",
" <td>67.807018</td>\n",
" <td>46.403509</td>\n",
" <td>89.035088</td>\n",
" <td>100.000000</td>\n",
" <td>88.859649</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A03</th>\n",
" <td>99.561404</td>\n",
" <td>90.438596</td>\n",
" <td>99.649123</td>\n",
" <td>99.561404</td>\n",
" <td>78.333333</td>\n",
" <td>46.140351</td>\n",
" <td>99.649123</td>\n",
" <td>88.859649</td>\n",
" <td>100.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" A04 A01 A07 A09 A06 A10 \\\n",
"A04 100.000000 90.701754 99.912281 99.824561 78.421053 46.140351 \n",
"A01 90.701754 100.000000 90.789474 90.701754 80.175439 45.964912 \n",
"A07 99.912281 90.789474 100.000000 99.912281 78.333333 46.052632 \n",
"A09 99.824561 90.701754 99.912281 100.000000 78.333333 46.140351 \n",
"A06 78.421053 80.175439 78.333333 78.333333 100.000000 47.105263 \n",
"A10 46.140351 45.964912 46.052632 46.140351 47.105263 100.000000 \n",
"A12 99.912281 90.789474 100.000000 99.912281 78.333333 46.052632 \n",
"A05 89.122807 80.000000 89.035088 88.947368 67.807018 46.403509 \n",
"A03 99.561404 90.438596 99.649123 99.561404 78.333333 46.140351 \n",
"\n",
" A12 A05 A03 \n",
"A04 99.912281 89.122807 99.561404 \n",
"A01 90.789474 80.000000 90.438596 \n",
"A07 100.000000 89.035088 99.649123 \n",
"A09 99.912281 88.947368 99.561404 \n",
"A06 78.333333 67.807018 78.333333 \n",
"A10 46.052632 46.403509 46.140351 \n",
"A12 100.000000 89.035088 99.649123 \n",
"A05 89.035088 100.000000 88.859649 \n",
"A03 99.649123 88.859649 100.000000 "
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"word_vectors = Word2Vec.load_word2vec_format('/data/genomes/embeddings/dna2vec-20190612-1611-k10to10-100d-10c-4870Mbp-sliding-kPR.w2v')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"X = []\n",
"for seq in fsts:\n",
" vectors = word_vectors[[\"\".join(seq[i:i+10]) for i in range(len(seq)-10)]]\n",
" X.append(np.sum(vectors, axis=0))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1.02 ms, sys: 0 ns, total: 1.02 ms\n",
"Wall time: 755 µs\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 936x936 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pca = PCA(n_components=3)\n",
"%time X3 = pca.fit_transform(X)\n",
"X3_df = pd.DataFrame(data=X3, columns=[\"pc1\",'pc2',\"pc3\"], index=labels)\n",
"\n",
"fig = plt.figure(figsize=(13,13))\n",
"ax = fig.add_subplot(111,projection=\"3d\")\n",
"for cell in X3_df.index:\n",
" ax.scatter(X3_df.loc[cell,\"pc1\"],X3_df.loc[cell,\"pc2\"],X3_df.loc[cell,\"pc3\"], marker=\"o\",s=8, label = cell)\n",
" ax.text(X3_df.loc[cell,\"pc1\"],X3_df.loc[cell,\"pc2\"],X3_df.loc[cell,\"pc3\"], cell, size=12)\n",
"ax.set_xlabel('pc1')\n",
"ax.set_ylabel('pc2')\n",
"ax.set_zlabel('pc3')\n",
"ax.set_title(\"Cells in PCA space\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x936 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import sys, os\n",
"sys.path.append(\".\")\n",
"from KlsAutoencoder import *\n",
"e = Encoder(\"../data/models/encoder-3d\",[100,50,3]);e\n",
"\n",
"data = e.encode(X)\n",
"\n",
"fig = plt.figure(figsize=(13,13))\n",
"ax = fig.add_subplot(111,projection=\"3d\")\n",
"for i, cell in enumerate(labels):\n",
" ax.scatter(data[i,0],data[i,1],data[i,2], marker=\"o\",s=5, label = cell)\n",
" ax.text(data[i,0],data[i,1],data[i,2], cell, size=8)\n",
"ax.set_xlabel('dim1')\n",
"ax.set_ylabel('dim2')\n",
"ax.set_zlabel('dim3')\n",
"ax.set_title(\"Cells in Ksent space\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build phylogenetic tree using Ksent Cosign (my method) "
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAl8AAAE3CAYAAACU8CS3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAG7NJREFUeJzt3XGQXWd53/Hvar3GNLuq7e3SWloCKQoP7thIFcZ2aoglQ2Q3TWfkjFy0dIhpDGN3ShmTRnWcOshjO51kyAwaMSEmARM7cSwGbBM3w4gqBDveFBc5QsUt8SMMwXi9xhaSQ7S0wKLd/nGPzJW82nv3+ux7Vsv3M7Oje9/znvO+59Fd3Z/ec+5u3+zsLJIkSSpjRdMTkCRJ+nFi+JIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQVZPiSJEkqqJfwdRrw6upPSZKkpWzJ5ZZeJvIq4AngzcBEvdORJEmq1SjwMLAG+FrDcwF6C1/nVH8+XOdEJEmSFtE5nMLh6xmA55//LjMzszVPZ2kYHh7k0KGppqexbFjP+ljLelnPelnP+ljL+qxY0cdZZ/0EVPllKeglfB0FmJmZXbbhC1jW59YE61kfa1kv61kv61kfa1m7o01P4Bg/7ShJklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQVZPiSJEkqaMn8kklJkqSlICKuBO4Dzs3Mx6u23cDFwHhm/kJb37uBC4Bp4IvAtZk5Pd/xXfmSJEk63hgwDmxta/sA8I45+t4NvA44H3g58K5OBzd8SZIkVSJiELgEuIa28JWZnwOOnNg/Mz+TmbOZOUtr5Wu00xiGL0mSpB/ZDOzOzAPA4YhY381OETFAa2Vsd6e+Pd/zNTw82Ouup4SRkaGmp7CsWM/6WMt6Wc96Wc/6WMt67PgfH+X6f9HxSmC7MWBH9XhX9XxfF/t9GPjLzHy4U8eew9ehQ1PL9jeuj4wMcfDgi1YW1SPrWR9rWS/rWS/rWR9rWZ/p6aNd942IYeAy4LyImAX6gdmI+M/VZcWT7bcdGAGu7WYcP+0oSZLUsgW4KzNfCFER8RDwJmDOFa2IeBdwOfCWzJzpZhDv+ZIkSWoZA+4/oe1e4O0R8TDwSeAtETEREZdX228H/jHwhYjYHxHv7zSIK1+SJElAZm6Yo21nh30WnKVc+ZIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQVZPiSJEkqyJ9wL0mSGjf+9CM8+uz+2o/7vaP/r/ZjvlSufEmSpMY9+ux+JqYmm55GEa58SZKkJWF0cBXXr7+u1mP+4Vf+pNbj1cGVL0mSpIIMX5IkSQUZviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBhi9JkqSC/An3kiRJbSLiSuA+4NzMfLxquxq4qepyW2beWbU/DAxV7a8AvpiZm+c7vitfkiRJxxsDxoGtABFxNrAduAi4ENgeEWcBZOabM3NdZq4DvkArtM3L8CVJklSJiEHgEuAaqvAFXA7syczDmfk8sAe44oT9hoDLgE93GsPwJUmS9CObgd2ZeQA4HBHrgdXAU219Jqq2dlcCn8vMv+80QM/3fA0PD/a66ylhZGSocyd1zXrWx1rWy3rWy3rW58etlgMD/UD9573t0msXussYsKN6vKt6/twc/Wbn2O+j3QzQc/g6dGiKmZkTx10eRkaGOHjwSNPTWDasZ32sZb2sZ72sZ31+HGs5PX0UoPbzXrGir+sFo4gYpnXp8LyImAX6aYWsG4ANbV1HgQdP2O9CWqtfHflpR0mSpJYtwF2Z+cJyWUQ8BEwCm47dZA9sAm5s2+8q4M8y83vdDOI9X5IkSS1jwP0ntN1L68b7W4G91dctmXm4rc9W4J5uB3HlS5IkCcjMDXO07Wx7eke3+83HlS9JkqSCXPmSJEmLavzpR3j02f3z9pk4Msno0KpCM2qWK1+SJGlRPfrsfiamJpuexpLhypckSVp0o4OruH79dSfdvmPf7QVn0yxXviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQVZPiSJEkqyPAlSZJUkOFLkiSpIMOXJElSQYYvSZKkggxfkiRJBRm+JEmSCjJ8SZIkFWT4kiRJahMRV0bEbES8rq3t6oj4avV19Rz7fCgipro5vuFLkiTpeGPAOLAVICLOBrYDFwEXAtsj4qxjnSPiAuDMbg9+Wq1TlSRJ6tHE1CQ79t1e6zHPPGMl2y69tuv+ETEIXAJsBB4AbgYuB/Zk5uGqzx7gCuCeiOgHPgC8HbiymzF6Dl/Dw4O97npKGBkZanoKy4r1rI+1rJf1rJf1rM9yquXAQD8w/zltXHMx40/uXbSxF2AzsDszD0TE4YhYD6wGnmrrM1G1AbwHeCAzn4mIrgboOXwdOjTFzMxsr7svaSMjQxw8eKTpaSwb1rM+1rJe1rNe1rM+y62W09NHAeY9p7Ur17H2/HW1j71iRd9CdxkDdlSPd1XPn5uj32xErAKuAjYsZAAvO0qSJAERMQxcBpwXEbNAPzAL3MDxAWsUeBD458Aa4Ilq1esfRMQTmblmvnEMX5IkLaLxpx/h0Wf3L2ifgYH+F1aLloOJI5OMDq1qehrd2ALclZkv3CQWEQ8Bk8CmtpvsNwE3VveA/ZO2vlOdghf4aUdJkhbVo8/uZ2JqsulpqDtjwP0ntN1L61OPtwJ7q69bjt183wtXviRJWmSjg6u4fv11Xfdfbvd81f0JxsWSmRvmaNvZ9vSODvt39WlEV74kSZIKMnxJkiQVZPiSJEkqyPAlSZJUkOFLkiSpIMOXJElSQYYvSZKkggxfkiRJBRm+JEmSCjJ8SZIkFWT4kiRJKsjwJUmSVJDhS5IkqSDDlyRJUkGGL0mSpIIMX5IkSQUZviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKmg05qegCRJ0lISEVcC9wHnZubjVdvVwE1Vl9sy886q/TLgd4DTgb8GrsnMH853fFe+JEmSjjcGjANbASLibGA7cBFwIbA9Is6KiBXAncDWzDwPeBK4utPBXfmSJEmLbmJqkh37bi8+7plnrGTbpdd23T8iBoFLgI3AA8DNwOXAnsw8XPXZA1wB/Dnw/cw8UO2+B7gR+Nh8Y/QcvoaHB3vd9ZQwMjLU9BSWFetZH2tZL+tZL+v5YgMD/cDCa7OcarlxzcWMP7m3kbGP1X8BNgO7M/NARByOiPXAauCptj4TVdu3gYGIuCAzHwW2AK/sNEDP4evQoSlmZmZ73X1JGxkZ4uDBI01PY9mwnvWxlvWynvVqqp7jTz/Co8/uLz5utyaOTDI6tGpBtVlur821K9ex9vx1jYy9YkXfQncZA3ZUj3dVz5+bo99sZs5GxFbggxHxMuC/A/Pe7wVedpQkneIefXY/E1OTjA6uanoqOsVFxDBwGXBeRMwC/cAscAOwoa3rKPAgQGZ+AXhztf8m4LWdxjF8SZJOeaODq7h+/XVNT2NOTdznpJ5tAe7KzBduEouIh4BJYFNEnFU1b6J1bxcR8YrMfK5a+boB+M1Og/hpR0mSpJYx4P4T2u6l9anHW4G91dctx26+B7ZFxN8AXwb+W2b+RadBXPmSJEkCMnPDHG07257eMcf2bcC2hYzjypckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQVZPiSJEkqyPAlSZJUkOFLkiSpIMOXJElSQYYvSZKkggxfkiRJBRm+JEmSCjJ8SZIkFWT4kiRJKsjwJUmSVJDhS5IkqSDDlyRJUkGGL0mSpIIMX5IkSQUZviRJkgoyfEmSJBV0WtMTkCRJWkoi4krgPuDczHy8arsauKnqcltm3lm1fwy4AOgDDgDvzMyp+Y7vypckSdLxxoBxYCtARJwNbAcuAi4EtkfEWVXf92Xm2sx8PfBN4D2dDu7KlyRJi2xiapId+27vuv/AQD/T00cXcUY/Ps48YyXbLr226/4RMQhcAmwEHgBuBi4H9mTm4arPHuAK4J7M/PuqrQ94OTDbaYyew9fw8GCvu54SRkaGmp7CsmI962Mt62U9T+7Pv/Yw40/ubXoaHT393Wd49ZmjS/bvcuOai3uq48BA/yLM5sdPD3XcDOzOzAMRcTgi1gOrgafa+kxUbQBExMeBnwe+AvynTgP0HL4OHZpiZqZjuDsljYwMcfDgkaansWxYz/pYy3pZz/l9/olHmJiaZHRwVVf9m1qtmZ2ZZXr66JL9u1y7ch1rz1+3oH18bdZnxYq+he4yBuyoHu+qnj83R78XQlBm/ruI6Ac+BLwN+Ph8A3jZUZJ0UqODq7h+/XVd9W0qMCzkcp40n4gYBi4DzouIWaCfVsi6AdjQ1nUUeLB938w8GhGfALZh+JIkSerKFuCuzHzhJrGIeAiYBDa13WS/Cbixus/rNZn5RPX4XwOPdxrETztKkiS1jAH3n9B2L61PPd4K7K2+bqluvu8D7oyIx4DHgHOAWzoN4sqXJEkSkJkb5mjb2fb0jhO2zdD6ZOSCuPIlSZJUkOFLkiSpIMOXJElSQYYvSZKkggxfkiRJBRm+JEmSCjJ8SZIkFWT4kiRJKsjwJUmSVJDhS5IkqSDDlyRJUkGGL0mSpIIMX5IkSQUZviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFndb0BCRJkpaSiLgSuA84NzMfr9quBm6qutyWmXdW7e8BrgdeA4xk5rc7Hd+VL0mSpOONAePAVoCIOBvYDlwEXAhsj4izqr5/BbwVeLLbgxu+JEmSKhExCFwCXEMVvoDLgT2ZeTgznwf2AFcAZOaXMvMbCxnDy47SEjT+9CM8+uz+F7UPDPQzPX20gRktT9ZzfhNHJhkdWtX0NLoyMTXJjn23Nz2N2vjarM+ZZ6xk26XXLmSXzcDuzDwQEYcjYj2wGniqrc9E1daTnsPX8PBgr7ueEkZGhpqewrJiPRfmfz32GE9/9xlefeboi7YNDPQ3MKPly3qeXN+KPgYG+hf0/dvE9/rGNRcz/uTe4uMuNl+b9eihjmPAjurxrur5c3P0m+11Tj2Hr0OHppiZ6XncJW1kZIiDB480PY1lw3ou3PT0UVb/xDn8h/PffVy7tayX9Zzfjn23Mz19tOsaNVXPtSvXsfb8dcXHXUy+NuuzYkVf130jYhi4DDgvImaBfloh6wZgQ1vXUeDBXufkZUdJkqSWLcBdmfnCdcqIeAiYBDa13WS/Cbix10G84V6SJKllDLj/hLZ7ad14fyuwt/q6JTMPA0TEeyNigtZq2Jcj4qOdBnHlS5IkCcjMDXO07Wx7esdJtu88sX0+rnxJkiQVZPiSJEkqyPAlSZJUkOFLkiSpIMOXJElSQYYvSZKkggxfkiRJBRm+JEmSCjJ8SZIkFWT4kiRJKsjwJUmSVJDhS5IkqSDDlyRJUkGGL0mSpIIMX5IkSQUZviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBpzU9AUmSpKUkIq4E7gPOzczHq7argZuqLrdl5p1V+x8ClwLfqba9MzP3z3d8w5ckSdLxxoBxYCtwc0ScDWwHLgBmgb+OiAcy8/mq/7bM/FS3B/eyoyRJUiUiBoFLgGtohS+Ay4E9mXm4Clx7gCt6HWNJr3w9uP9p/uf/ebb4uAOn9zP9g6PFx12urOfCTUyN8po3TjQ9DYmJqUl27Lu9q74DA/1MT/u9XgdrWZ8zz1jJtkuvXcgum4HdmXkgIg5HxHpgNfBUW5+Jqu2Y34yI9wOfA34tM78/3wA9h6/h4cFed+3avq9+m4mDU/zU6n+46GOdaOD0/uJjLmfWc2H6+voYGOhnZGToRdvmalPvrOfJbVxzMeNP7l3QPgMDfq/XxVrWo4c6jgE7qse7qufPzdFvtvrzRuBbwOnA7wM3ALfMN0DP4evQoSlmZmY7d3wJpn9wlNGRQX7lqrWLOs6JRkaGOHjwSNExlzPruXA79n2B6WleVDdrWS/rOb+1K9ex9vx1Xfe3nvWxlvVZsaKv674RMQxcBpwXEbNAP62QdQOwoa3rKPAgQGY+U7V9PyI+Dvxqp3GW9GVHSZKkgrYAd2XmC9cpI+IhYBLYFBFnVc2baK14ERHnZOYzEdFH65Ll/+40iOFLkiSpZQz4rRPa7qV14/2twLHr8Ldk5uHq8d0RMQL0AfuB6zoNYviSJEkCMnPDHG07257eMcf2yxY6jj9qQpIkqSDDlyRJUkGGL0mSpIIMX5IkSQUZviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQVZPiSJEkqyPAlSZJUkOFLkiSpIMOXJElSQYYvSZKkggxfkiRJBRm+JEmSCjJ8SZIkFXRa0xOQJElaSiLiSuA+4NzMfLxquxq4qepyW2beWbX3AbcBVwFHgd/LzJ3zHd+VL0mSpOONAePAVoCIOBvYDlwEXAhsj4izqr7vBF4JvC4zzwV2dTq4K1/SEjUxNcmOfbcf1zYw0M/09NGGZrT8WM96Wc/6WMv6nHnGSrZdem3X/SNiELgE2Ag8ANwMXA7syczDVZ89wBXAPcC/B96emTMAmflcpzF6Dl/Dw4O97tq1gdP7ARgZGVr0sU7UxJjLmfVcmI1rLmb8yb1zbhsY6C88m+XNetbLetbHWtajhzpuBnZn5oGIOBwR64HVwFNtfSaqNoDXAG+rLlUeBN6bmV+db4Cew9ehQ1PMzMz2untXpn/QSv0HDx5Z1HFONDIyVHzM5cx6LtzaletYe/66F7Vby3pZz3pZz/pYy/qsWNG30F3GgB3V413V87lWs46FoJcB38vMCyLiF4E7gDfPN4CXHSVJkoCIGAYuA86LiFmgn1bIugHY0NZ1FHiwejwB3Fs9vh/4eKdxDF+SJEktW4C7MvOFm8Qi4iFgEtjUdpP9JuDG6vGnaQW2O4BLgQOdBjF8SZIktYwBv3VC2720PvV4K3DsZtxbjt18X/W/OyLeB0wB7+o0iOFLkiQJyMwNc7S1/8yuO+bY/nfAv1rIOP6cL0mSpIIMX5IkSQUZviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQVZPiSJEkqyPAlSZJUkOFLkiSpIMOXJElSQYYvSZKkggxfkiRJBRm+JEmSCjJ8SZIkFWT4kiRJKui0picgSZK0lETElcB9wLmZ+XjVthu4GBjPzF9o6/tTwC7gbGAf8I7M/MF8x3flS5Ik6XhjwDiwta3tA8A75uj728AHM/OngeeBazodfMmvfH3zuSl+++59RcccOL2f6R8cLTrmcmY962Mt62U962U962Mt63PWypfxX3754q77R8QgcAmwEXgAuBkgMz8XERtO6NsHXAa8vWq6s+r/e/ON0XP4Gh4e7HXXrr31olfx0JcmFn2cuQyc3t/IuMuV9ayPtayX9ayX9ayPtazHaQMLruNmYHdmHoiIwxGxPjNPtgo0DPxdZv6wej4BrO44p4XO6JhDh6aYmZntdfeuvGHNMG9YM7yoY8xlZGSIgwePFB93ubKe9bGW9bKe9bKe9bGW9Vmxom+hu4wBO6rHu6rnJwtfcx28Yzjyni9JkiQgIoZpXUb8aER8A9gGvK26vDiXbwNnRsSxxaxRYLLTOIYvSZKkli3AXZn5qsx8dWa+Evhb4E1zdc7MWeDz1X4AVwN/2mkQw5ckSVLLGHD/CW33Am+PiIeBTwJviYiJiLi82n4D8CsR8QSte8A+1mmQJf9pR0mSpBIyc8McbTs77PN14MKFjOPKlyRJUkGGL0mSpIIMX5IkSQUZviRJkgoyfEmSJBVk+JIkSSrI8CVJklSQ4UuSJKmgXn7Iaj/09IsqTynL/fxKs571sZb1sp71sp71sZb1aKtjf5PzaNc3O9vxl2+f6E3Aw4swF0mSpMXyZmC86UlAb+HrZcAbgWeAo7XPSJIkqT79wDnAXuD7Dc8F6C18SZIkqUfecC9JklSQ4UuSJKkgw5ckSVJBhi9JkqSCDF+SJEkFGb4kSZIKMnxJkiQV1MuvF1qyIuK1wJ3AMHAI+KXM/OoJffqBncAVwCzwW5n50S62bQL+K3A+8KHM/NW2Y/4GsBX4YfX165n52UU81SIarOdJ9zuVLXI959v2CuDjwCuB04G/AN6bmT9c1BNeZE3Vs9r+b4DfAPqq7W/NzGcX72wXV5O1rPoE8CXgw+3/FpyqGvxe972o3nou2nvRclv5uh343cx8LfC7wEfm6PNvgTXATwM/A9wcEa/uYtvXgXcDH5jjmF8E3piZa4FfBj4RES+v44Qa1lQ959vvVLaY9Zxv268Df5OZr6cVdt8A/GKdJ9aQRuoZERcANwM/l5nn0fqVa9+p99SKa+q1eewN7iPAp2s9o2Y1VU/fi+qt56K9Fy2b8FX97349cE/VdA+wPiJGTuj6NuAPMnMmMw/S+oa/qtO2zHwiM79E638Tx8nMz2bm/62efpnW/4aH6zu78pqsZ4djnpIWu54dts0CQxGxgtavBzsdeLr2kyyo4Xq+D/idzPwWQGZ+JzO/V/9ZltFwLQF+Dfgz4EDNp9aIJuvpe1Htr89Fey9aNuGL1iWVpzPzKED152TV3u4ngSfbnn+zrc9827r1S8DXMnNigfstNU3Ws46/h6Vmses537ZbgdfS+n2s3wI+m5l/9VJOZglosp7/DPinEfGXEbEvIm6KiL6XeD5NaqyWEfF64HLggy/5LJaOJl+b7Xwveun1XLT3ouUUvhoXEZfSeqMba3ouUpuraP0v+BxgNfCzEbGl2Smd0k4DXg/8HHAp8C+BdzQ6o1NQRAwAfwBcd+yNVfXwvWjpW07h6ylgdXX/wLH7CFZV7e2+Cbyq7flPtvWZb9u8IuJngD8GNmdmLnj2S0+T9ez572EJW+x6zrftPwJ3V0vn3wH+FNj4ks6meU3W80ngU5n5/cw8QqueF76ks2lWU7U8B3gN8JmI+AZwPfDuiPj9l3Y6jWvytel70Y/UUc9Fey9aNp92zMznImI/raT/x9WfX6qu07b7JK1v8PtoXQvfDPxsF9tOKiLeCHwC2JKZ++o4n6Y1Wc+XsN+SVaCe8237W1qf1vliRJwOvBW4r/6zLKfhev4J8PMR8Ue0/g19C/Cp+s+yjKZqmZnfBP7RsYNHxM3A4Kn+accmX5u+F9X+vb5o70XLJnxVrgPujIj3A8/TuuZNRHwGeH9mPgr8EXARcOxjqrdk5terxyfdFhFvAnYBK4G+iNgKXFN9jPfDwMuBj7Q+MQ3AOzLzsUU70zKaqud8xzyVLVo9O2y7Hrg9Ih4D+oHP07rcc6prqp67gAuArwAzwGeBj9V/ekU1Vcvlqql6+l5Ubz0X7bXbNzs7W8dxJEmS1IXldM+XJEnSkmf4kiRJKsjwJUmSVJDhS5IkqSDDlyRJUkGGL0mSpIIMX5IkSQUZviRJkgr6/77bWAF51O/2AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"linked = linkage(X, method='average', metric=\"cosine\")\n",
"fig=plt.figure(figsize=(10, 5)) \n",
"ax1 = fig.add_subplot(111)\n",
"\n",
"htree = dendrogram(linked, \n",
" ax=ax1,\n",
" orientation='left',\n",
" p=data.shape[0],\n",
" truncate_mode='lastp',\n",
" leaf_font_size = 10,\n",
" labels=labels,\n",
" distance_sort='descending',\n",
" show_contracted=True, \n",
" show_leaf_counts=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build maximum likelyhood phylogenetic tree (conventional UPGMA method)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib as matplotlib"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"alignment = MultipleSeqAlignment(sequences)\n",
"calculator = DistanceCalculator(\"identity\") \n",
"tree = DistanceTreeConstructor(calculator, \"upgma\").build_tree(alignment)\n",
"matplotlib.rcParams.update({'figure.figsize': (10,5),\n",
" 'font.size': 10})\n",
"Phylo.draw(tree)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"Phylo.draw??"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Observations\n",
"\n",
"- It seems that for the given 9 cells from LaBrock study produce similar clustering models. \n",
"- The A05,A10,A06,A01 tree of the conventional method can be seen in the tree using my proposed method. \n",
"- The A09, A03, A04, A07 and A12 have no relationship the conventional model and do have a relationship in my model."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:bio] *",
"language": "python",
"name": "conda-env-bio-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}