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@Midnighter
Created November 26, 2013 13:28
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BICB Lab Final Project Example
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Mutual Information Content of Genomic Sequences"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from Bio.SeqIO import read"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from final_utils import magic_probabilities, mutual_information"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"distances = range(1, 31) + range(301, 331) + range(3001, 3031)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"record = read(\"../Sessions/Data/03_Sequence_Classification/Escherichia_coli_str_K12.fasta\", \"fasta\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"seq = str(record.seq)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"len(seq)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"4686137"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%time\n",
"(single_p, pair_p_all) = magic_probabilities(seq, distances)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 2min 52s, sys: 268 ms, total: 2min 52s\n",
"Wall time: 2min 54s\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def probability_test(probs, cmp_op=numpy.isclose):\n",
" return cmp_op(sum(probs.itervalues()), 1.0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"probability_test(single_p)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"True"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"all(probability_test(pair_p_all[k]) for k in distances)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"True"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y_vals = [mutual_information(single_p, pair_p_all[k]) for k in distances]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(distances[:30], y_vals[:30], \"o-\")\n",
"plt.xlabel(\"Distance $k$\")\n",
"plt.ylabel(\"Mutual Information $I(k)$\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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whGajnDcAAAB8CeEIzcbMEQAAAHwJ4QjNxl5HAAAA8CWEIzQbM0cAAADwJYQjNBvhCAAA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\nAAAAlTgCAACoxBEAAEAljgAAAKr6ADlnO5S9rlxCAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xacf5e6c>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(distances[30:60], y_vals[30:60], \"o-\")\n",
"plt.xlabel(\"Distance $k$\")\n",
"plt.ylabel(\"Mutual Information $I(k)$\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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clvHTrHin4wsX3MfV/v2BgQOV77mthGs681i0aClKS19Dff1LAC4AaAdwAfX1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vwbXn/9daxduxbp6ekYO3YsLly4gA0bNuDTTz/Fyy+/jMGDB0d8ZseOHXjhhRfg9/sxcuRIpKen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\n",
"text": [
"<matplotlib.figure.Figure at 0xb479f8c>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(distances[60:], y_vals[60:], \"o-\")\n",
"plt.xlabel(\"Distance $k$\")\n",
"plt.ylabel(\"Mutual Information $I(k)$\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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9udDLij9YYc4woG/f+vcr9ImI+F/t194+fRT6JHDo3ZmI+KjGz4+ThlhvPPr2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BEj8Ne//hXr16/HyJEjYTQasXr1aly8eNHu+NVGaup7WLNmpx3BR4mB0XgOa9fuxIoVf5FyeJqC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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xb47916c>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pickle"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"with open(\"E_coli_single_symbol_prob.pkl\", \"w\") as file_h:\n",
" pickle.dump(single_p, file_h)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"with open(\"E_coli_pair_prob.pkl\", \"w\") as file_h:\n",
" pickle.dump(pair_p_all, file_h)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
}
],
"metadata": {}
}
]
}
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