{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Biological Duplicate PTM Correlations\n", "\n", "## Non-reproducible Systematic Variation in Cell Line Data\n", "Of the 45 cell lines measured in the PTM experimental data three cell lines are duplicated - resulting in 42 unique cell lines. We showed in a different notebook that the PTM distributions (measuring ~4000 PTMs for each cell line) showed systematic variation that was unlikely to be biological in nature. Furthermore, we showed that biological replicate experiments showed a non-reproducible systematic variation, which further indicates that this variation is not biological. \n", "\n", "## Normalization and Gene-Expression Comparison \n", "We proposed that we correct for this variation using cell-line quantile normalization to enforce that the cell lines have the same distributions. However, this normalization might also introduce other problems and reduce the overall quality of the data. In a different notebook, we showed that cell line quantile normalization (as well as quantile normalization followed by PTM Z-score normalization) improved the correlation of cell-line/cell-line distances in gene-expression-space and PTM-space. In other words normalization of the PTM data improved the similarity of how cell lines are arranged in the two spaces (gene-expression and PTM) where we expect the cell lines to behave similarly in both spaces. \n", "\n", "## PTM Correlation in Biological Replicates\n", "We can also use the correlation of PTM values between biological replicates (and non-biological replicates) to check the quality of our data. We would expect that biological replicates (3 instances) will be more correlated than non-replicates. We can also check whether our normalization preserves the absolute correlations and relative correlations (biological-replicate vs non-replicate). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import bio_duplicate_correlation" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculating cell-line correlations\n" ] } ], "source": [ "fig_data = bio_duplicate_correlation.compare_duplicate_non_duplicate_correlation()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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J71gl1VrU+tDQUM2bN0/XXnut+vbtqy5duuiSSy5RjRo1tHfvXq1du1a7du3S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\nAOsQdAAAAABYh6ADAAAAwDq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HjI5RXnhk8O0AABWGoAMAsN8Rt06MvrvSDhc5aZoUT9AB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "import matplotlib\n", "matplotlib.style.use('ggplot')\n", "\n", "fig = fig_data.plot(kind='bar', figsize=(10,5))\n", "full_title = 'PTM Correlation of Bio-Replicates and Non-Bio-Replicates'\n", "fig.set_title(full_title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cell-Line Quantile Normalization Effect\n", "The above bar graph shows Non-Biological-Repeats vs Biological-Repeat correlation (Pearson) for six different conditions (there are 12 bars in sets of 2). The six conditions are:\n", "\n", "1) No normalization (none)\n", "2) Cell-line quantile normalization (col-qn)\n", "3) Cell-line quantile normalization and row Z-score (col-qn_row-zscore)\n", "4) No-missing values No normalization (filter_none)\n", "5) No-missing values Cell-line quantile normalization (filter_col-qn)\n", "6) No-missing values Cell-line quantile normalization and row Z-score (filter_col-qn_row-zscore)\n", "\n", "The first two bars show us that correlation of biological repeats (3 instances) is greater than the other non-biological repeat combinations (987 other cell line combinations). The next two bars show that cell-line quantile normalization actually increases the correlation of both repeat and non-repeats. The third set of bars shows us that while row Z-score normalization reduces the overall cell-line/cell-line correlations we still have a large relative difference in the correlations of repeat vs non-repeats (we expect that Z-score normalization will reduce the overall correlation). The last set of six bars is the same as the first except that PTMs with missing values have been first filtered out.\n", "\n", "\n", "We see that fitlering out PTMs with missing values first gives similar results. Cell-line quantile normalization does not reduce the overall correlations and biological-replicate correlation is still higher than non-replicate correlation. \n", "\n", "# Conclusions\n", "Based on this, we can conclude that 1) cell-line quantile normalization does not reduce the cell-line/cell-line correlation (in fact it increases it when no filtering is done), this is not dependent on missing PTMs, and Z-score row normalization in addition to cell-line quantile normalization maintains the difference in correlation between biological-replicates and non-replicates. So, we can conclude that cell-line quantile normalization does not reduce the quality of the data as measued by cell-line/cell-line correlation of PTM data. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(8468, 45)\n", "(8468, 45)\n" ] } ], "source": [ "import bio_duplicate_correlation\n", "df_scatter = bio_duplicate_correlation.view_scatter()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "df_scatter.shape\n", "cols = df_scatter.columns.tolist()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "s = pd.Series(np.random.randn(5), index=['a', 'b', 'c', 'd', 'e'])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/nickfernandez/anaconda/lib/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " if self._edgecolors == str('face'):\n" ] }, { "data": { "image/png": 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EtUyIuE8iBJxo7cMCqxY/2V+P+RYNVHIJfn+kBatsehhiXFNvQEBjrx+/+qQF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\n669ryZIlF32s/025GHva2trMLgEmowdAD0CiD0APY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AAGIoQBAAAAgIH+D5iQ5gdpEEC1\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# s.plot(kind='bar', figsize=(10,5))\n", "# df_scatter = df_scatter.transpose()\n", "df_scatter.plot(kind='scatter', figsize=(10,5), x=cols[4], y=cols[5])\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "df = pd.DataFrame(np.random.rand(50, 4), columns=['a', 'b', 'c', 'd'])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jQgxgAaxTAiAaEWIAC+H2EYBowpgYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQA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\nAABgJEIMAAAw0v8PgSec8/OcWYEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.plot(kind='scatter', x='a', y='b')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "inst_series = df_scatter[cols[0]]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "print(type(inst_series))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RaEKbgoIC5ebmxkNGIBCQ3W6X2+2OtykrK1NGRka8DQAAGPtGLWQMjzJcPLdi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\nCBkAAMAIQgYAADDi/wPLjBspwqcoUwAAAABJRU5ErkJggg==\n", 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