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<title>Working with nucleosome-derived data (MNase-Seq)</title>
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<h1 class="title toc-ignore">Working with nucleosome-derived data (MNase-Seq)</h1>
<h4 class="author"><em>Tobias Straub</em></h4>
<h4 class="date"><em>2018-03-26</em></h4>
<div id="alignment-of-mnaseseq-data" class="section level2">
<h2>Alignment of MNaseSeq-Data</h2>
<p>Paired-end data is aligned as follows using bowtie2.</p>
<ul>
<li>only concordant reads are reported</li>
<li>maximum insert size is kept to 250 (a bit larger than nucleosomes)</li>
<li>multiple matches of to the genome are suppressed, orphaned mates are eliminated</li>
<li>BAM file is then converted to BED in which chr, start, end of the sequenced fragement is reported</li>
</ul>
<p>Cleaning up of orphaned reads is performed with this script taken from (<a href="https://www.biostars.org/p/95929/" class="uri">https://www.biostars.org/p/95929/</a>)</p>
<div class="sourceCode"><pre class="sourceCode python"><code class="sourceCode python"><span class="co">#!/usr/bin/env python</span>
<span class="im">import</span> csv
<span class="im">import</span> sys
f <span class="op">=</span> csv.reader(sys.stdin, dialect<span class="op">=</span><span class="st">"excel-tab"</span>)
of <span class="op">=</span> csv.writer(sys.stdout, dialect<span class="op">=</span><span class="st">"excel-tab"</span>)
last_read <span class="op">=</span> <span class="va">None</span>
<span class="cf">for</span> line <span class="kw">in</span> f :
<span class="co">#take care of the header</span>
<span class="cf">if</span>(line[<span class="dv">0</span>][<span class="dv">0</span>] <span class="op">==</span> <span class="st">"@"</span>) :
of.writerow(line)
<span class="cf">continue</span>
<span class="cf">if</span>(last_read <span class="op">==</span> <span class="va">None</span>) :
last_read <span class="op">=</span> line
<span class="cf">else</span> :
<span class="cf">if</span>(last_read[<span class="dv">0</span>] <span class="op">==</span> line[<span class="dv">0</span>]) :
of.writerow(last_read)
of.writerow(line)
last_read <span class="op">=</span> <span class="va">None</span>
<span class="cf">else</span> :
last_read <span class="op">=</span> line</code></pre></div>
<div class="sourceCode"><pre class="sourceCode bash"><code class="sourceCode bash"><span class="va">BOWTIE_INDEX=</span> <span class="op"><</span><span class="fu">dir</span><span class="op">></span>/Bowtie2Index/genome
<span class="va">BOWTIE_OPTS=</span><span class="st">"-p 10 -X 250 --no-discordant --no-mixed --no-unal"</span>
<span class="ex">bowtie2</span> <span class="va">$BOWTIE_OPTS</span> -x <span class="va">$BOWTIE_INDEX</span> -1 mate_1.fastq.gz -2 mate_2.fastq.gz <span class="op">></span> aligned.sam
<span class="ex">samtools</span> view -hf 0x2 aligned.sam <span class="kw">|</span> <span class="fu">grep</span> -v <span class="st">"XS:i:"</span> <span class="kw">|</span> <span class="ex">filter_orphans.py</span> <span class="kw">|</span> <span class="ex">samtools</span> view -b -o aligned.bam
<span class="ex">samtools</span> sort -n -m 1G -@ 8 -o aligned.s.bam aligned.bam
<span class="ex">bamToBed</span> -i aligned.s.bam -bedpe <span class="op">></span> aligned.bed <span class="op">2></span>/dev/null
<span class="fu">cut</span> -f 1,2,6 aligned.bed <span class="op">></span> aligned.s.bed</code></pre></div>
<p>Single-read data is aligned as follows using bowtie2.</p>
<ul>
<li>multiple matches of to the genome are suppressed</li>
<li>BAM file is then converted to BED in which chr, start, end and strand of the read is reported</li>
</ul>
<div class="sourceCode"><pre class="sourceCode bash"><code class="sourceCode bash"><span class="va">BOWTIE_INDEX=</span> <span class="op"><</span><span class="fu">dir</span><span class="op">></span>/Bowtie2Index/genome
<span class="va">BOWTIE_OPTS=</span><span class="st">"-p 10 --no-unal"</span>
<span class="ex">bowtie2</span> <span class="va">$bowtie_opts</span> -x <span class="va">$BOWTIE_INDEX</span> <span class="va">${SRUN}</span>.fastq.gz <span class="op">></span> aligned.sam
<span class="ex">samtools</span> view -h aligned.sam <span class="kw">|</span> <span class="fu">grep</span> -v <span class="st">"XS:i:"</span> <span class="kw">|</span> <span class="ex">samtools</span> view -b -o aligned.bam
<span class="ex">samtools</span> sort -m 1G -@ 8 -o aligned.s.bam aligned.bam
<span class="ex">bamToBed</span> -i aligned.s.bam <span class="op">></span> aligned.bed <span class="op">2></span>/dev/null
<span class="fu">cut</span> -f 1,2,3,6 aligned.bed <span class="op">></span> aligned.s.bed</code></pre></div>
</div>
<div id="conversion-to-coverage-object" class="section level2">
<h2>Conversion to coverage object</h2>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(tsTools)
<span class="kw">library</span>(IRanges)</code></pre></div>
<p>As an example we load the data included in the package (S. cerevisiae MNase-Seq, subset to chromosome IV)</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">fpath <-<span class="st"> </span><span class="kw">system.file</span>(<span class="st">"extdata"</span>, <span class="st">"SRR2154281_IV.s.bed"</span>, <span class="dt">package=</span><span class="st">"tsTools"</span>)
cov <-<span class="st"> </span><span class="kw">bed2dyad</span>(fpath,<span class="st">"PAIRED"</span>,<span class="dv">1</span>)</code></pre></div>
</div>
<div id="autocorrelation-function" class="section level2">
<h2>Autocorrelation Function</h2>
<p>The autocorrelation function on the signal vector can provide a hint as to whether we have something nucleosomal in the data. Given the beads on a string arrangement of nucleosomes we expect a periodic autocorrelation pattern.</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">acf</span>(<span class="kw">as.vector</span>(cov[[<span class="st">'IV'</span>]]), <span class="dt">lag.max =</span> <span class="dv">1000</span>)</code></pre></div>
<p><img 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" /><!-- --></p>
</div>
<div id="cumulative-plots" class="section level2">
<h2>Cumulative Plots</h2>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">data</span>(ann)
<span class="kw">head</span>(ann)</code></pre></div>
<pre><code>## chr start end strand class name commonName endConfidence
## ST3634 I 5074 6237 - SUT SUT432 SUT432 bothEndsMapped
## ST3635 I 7275 9260 - ORF YAL067C SEO1 bothEndsMapped
## ST0001 I 9367 9600 + SUT SUT001 SUT001 bothEndsMapped
## ST3636 I 10731 11140 - CUT CUT436 CUT436 bothEndsMapped
## ST3637 I 28082 29772 - SUT SUT433 SUT433 bothEndsMapped
## ST0002 I 30071 30904 + CUT CUT001 CUT001 bothEndsMapped
## source
## ST3634 Manual
## ST3635 Manual
## ST0001 Manual
## ST3636 Automatic
## ST3637 Manual
## ST0002 Automatic</code></pre>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">ann <-<span class="st"> </span>ann[ann<span class="op">$</span>chr<span class="op">==</span><span class="st">"IV"</span>,]
centers <-<span class="st"> </span><span class="kw">data.frame</span>(<span class="dt">chr=</span>ann<span class="op">$</span>chr,
<span class="dt">center=</span><span class="kw">ifelse</span>(ann<span class="op">$</span>strand<span class="op">==</span><span class="st">"+"</span>, ann<span class="op">$</span>start, ann<span class="op">$</span>end),
<span class="dt">strand=</span>ann<span class="op">$</span>strand)
<span class="kw">rownames</span>(centers) <-<span class="st"> </span><span class="kw">rownames</span>(ann)
mat <-<span class="st"> </span><span class="kw">coverageWindowsCenteredStranded</span>(centers, <span class="dt">window.size=</span><span class="dv">2000</span>, cov)
x <-<span class="st"> </span><span class="kw">seq</span>(<span class="op">-</span><span class="dv">1000</span>,<span class="dv">1000</span>)
<span class="kw">plot</span>(x, <span class="kw">apply</span>(mat, <span class="dv">2</span>, mean), <span class="dt">type=</span><span class="st">"l"</span>,
<span class="dt">xlab=</span><span class="st">"position relative to center position"</span>, <span class="dt">ylab=</span><span class="st">"dyad density"</span>)</code></pre></div>
<p><img 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" /><!-- --></p>
<p>row-wise normalization</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">mat.sq <-<span class="st"> </span><span class="kw">norm.square</span>(mat)
mat.sum <-<span class="st"> </span><span class="kw">norm.sum</span>(mat)
<span class="kw">par</span>(<span class="dt">mfrow=</span><span class="kw">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))
<span class="kw">plot</span>(x, <span class="kw">apply</span>(mat.sq, <span class="dv">2</span>, mean), <span class="dt">type=</span><span class="st">"l"</span>,
<span class="dt">xlab=</span><span class="st">"position relative to center position"</span>, <span class="dt">ylab=</span><span class="st">"dyad density (normalized)"</span>, <span class="dt">main=</span><span class="st">"sum of squares normalization"</span>)
<span class="kw">plot</span>(x, <span class="kw">apply</span>(mat.sum, <span class="dv">2</span>, mean), <span class="dt">type=</span><span class="st">"l"</span>,
<span class="dt">xlab=</span><span class="st">"position relative to center position"</span>, <span class="dt">ylab=</span><span class="st">"dyad density (normalized)"</span>, <span class="dt">main=</span><span class="st">"sum of row normalization"</span>)</code></pre></div>
<p><img 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" /><!-- --></p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">mat.bin <-<span class="st"> </span><span class="kw">bin.matrix.rows</span>(mat.sum,<span class="dv">25</span>)
x <-<span class="st"> </span><span class="kw">as.integer</span>(<span class="kw">colnames</span>(mat.bin))
<span class="kw">plot</span>(x, <span class="kw">apply</span>(mat.bin, <span class="dv">2</span>, mean), <span class="dt">type=</span><span class="st">"l"</span>,
<span class="dt">xlab=</span><span class="st">"position relative to center position"</span>, <span class="dt">ylab=</span><span class="st">"dyad density (normalized)"</span>, <span class="dt">main=</span><span class="st">"binned"</span>)</code></pre></div>
<p><img 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" /><!-- --></p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(zoo)</code></pre></div>
<pre><code>##
## Attaching package: 'zoo'</code></pre>
<pre><code>## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric</code></pre>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">mat.bin.smoothed <-<span class="st"> </span><span class="kw">t</span>(<span class="kw">apply</span>(mat.bin, <span class="dv">1</span>, <span class="cf">function</span>(x) {zoo<span class="op">::</span><span class="kw">rollmean</span>(x, <span class="dv">9</span>)}))
x <-<span class="st"> </span><span class="kw">as.integer</span>(<span class="kw">colnames</span>(mat.bin.smoothed))
<span class="kw">plot</span>(x, <span class="kw">apply</span>(mat.bin.smoothed, <span class="dv">2</span>, mean), <span class="dt">type=</span><span class="st">"l"</span>,
<span class="dt">xlab=</span><span class="st">"position relative to center position"</span>, <span class="dt">ylab=</span><span class="st">"dyad density (normalized)"</span>, <span class="dt">main=</span><span class="st">"binned & smoothed"</span>)</code></pre></div>
<p><img 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" /><!-- --></p>
<p>Cumulative plot with scatter</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">cumPlot</span>(mat.sum, <span class="dt">base.col =</span> <span class="st">"#FF0000"</span>)</code></pre></div>
<p><img 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" /><!-- --></p>
<p>Heatmaps</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(grid)
hmat <-<span class="st"> </span><span class="kw">meanScale</span>(mat)
<span class="kw">plotRasterHeatmap</span>(hmat)</code></pre></div>
<p><img 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" /><!-- --></p>
<p>Getting Spacing and Phasing along Reference points</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">ann[<span class="dv">1</span><span class="op">:</span><span class="dv">10</span>,]</code></pre></div>
<pre><code>## chr start end strand class name commonName endConfidence
## ST0356 IV 20192 21761 + ORF YDL241W YDL241W bothEndsMapped
## ST4012 IV 21868 22453 - CUT CUT468 CUT468 bothEndsMapped
## ST0357 IV 22640 26185 + ORF YDL240W LRG1 bothEndsMapped
## ST4013 IV 26276 28957 - ORF YDL239C ADY3 mapped3
## ST4014 IV 28956 30485 - ORF YDL238C GUD1 mapped5
## ST0358 IV 30624 32065 + ORF YDL237W YDL237W bothEndsMapped
## ST4015 IV 31716 32045 - CUT CUT469 CUT469 bothEndsMapped
## ST0359 IV 32248 33409 + ORF YDL236W PHO13 bothEndsMapped
## ST4016 IV 33300 34036 - ORF YDL235C YPD1 bothEndsMapped
## ST4017 IV 34139 36596 - ORF YDL234C GYP7 bothEndsMapped
## source
## ST0356 Manual
## ST4012 Automatic
## ST0357 Manual
## ST4013 Manual
## ST4014 Manual
## ST0358 Manual
## ST4015 Automatic
## ST0359 Manual
## ST4016 Manual
## ST4017 Manual</code></pre>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">result <-<span class="st"> </span><span class="kw">ocampo</span>(cov, ann[<span class="dv">1</span><span class="op">:</span><span class="dv">10</span>,])
result</code></pre></div>
<pre><code>## r space shift
## ST0356 0.59 168 -15
## ST4012 0.88 191 38
## ST0357 0.83 165 43
## ST4013 0.43 149 -70
## ST4014 0.74 157 59
## ST0358 0.87 166 53
## ST4015 0.84 167 36
## ST0359 0.89 169 60
## ST4016 0.77 169 36
## ST4017 0.91 161 35</code></pre>
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