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planemo upload for repository https://github.com/kirstvh/MultiplexCrisprDOE commit a920127294bcfcb708881e28144a77a5c10d46d2-dirty
author padge
date Wed, 31 Aug 2022 13:17:33 +0000
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        <div class="title">
          <h1 class="title">MultiplexCrisprDOE</h1>
          
          
        </div>

        
<!--  this setup dependencies, but doesn't appear in the generated document  -->



<h2>Tool</h2>
<ul>
<li><p><strong>Method:</strong>     BioCCP</p>
</li>
<li><p><strong>Description:</strong> BioCCP-based approaches for computing the minimal plant library size that guarantees full combinatorial coverage &#40;and other relevant statistics&#41;</p>
</li>
<li><p><strong>Mode:</strong> BioCCP_γx2</p>
</li>
<li><p><strong>Mode description:</strong> Computes the expected coverage of all pairwise combinations of gene knockouts &#40;E&#91;γx,2&#93;&#41; for an experiment with given plant library size using BioCCP</p>
</li>
</ul>
<h2>Variables</h2>


<div class="data-frame"><p>10 rows × 2 columns</p><table class="data-frame"><thead><tr><th></th><th>Argument</th><th>Value</th></tr><tr><th></th><th title="Any">Any</th><th title="Any">Any</th></tr></thead><tbody><tr><th>1</th><td># of target genes in the experiment</td><td>20</td></tr><tr><th>2</th><td># of gRNAs designed per target gene</td><td>6</td></tr><tr><th>3</th><td># of gRNAs / combi gRNA/Cas construct</td><td>2</td></tr><tr><th>4</th><td>Total number of gRNAs</td><td>120</td></tr><tr><th>5</th><td>Relative frequencies for all gRNAs</td><td>./test-data/example_data.xlsx</td></tr><tr><th>6</th><td>Genome editing efficiencies for all gRNAs</td><td>./test-data/example_data.xlsx</td></tr><tr><th>7</th><td>Global knockout efficiency</td><td>0.8</td></tr><tr><th>8</th><td>Step size</td><td>5</td></tr><tr><th>9</th><td>Maximum Plant library size</td><td>6000</td></tr><tr><th>10</th><td>Plant library size</td><td>0</td></tr></tbody></table></div>

<img 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" 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"  />

<pre class="output">
At a given number of plants, what is the expected coverage of pairwise gene
 knockout combinations?
N_95: 1315
</pre>

<img 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"  />


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            Published from <a href="report.jmd">report.jmd</a>
            using <a href="http://github.com/JunoLab/Weave.jl">Weave.jl</a> v0.10.10 on 2022-08-31.
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