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      <div class="section" id="loadcase-package">
    <h1>LoadCase package<a class="headerlink" href="#loadcase-package" title="Permalink to this headline">¶</a></h1>
    <div class="section" id="submodules">
    <h2>Submodules<a class="headerlink" href="#submodules" title="Permalink to this headline">¶</a></h2>
    </div>
    <div class="section" id="module-LoadCase.Interaction">
    <span id="loadcase-interaction-module"></span><h2>LoadCase.Interaction module<a class="headerlink" href="#module-LoadCase.Interaction" title="Permalink to this headline">¶</a></h2>
    <dl class="function">
    <dt id="LoadCase.Interaction.CoupleAMTs">
    <code class="descclassname">LoadCase.Interaction.</code><code class="descname">CoupleAMTs</code><span class="sig-paren">(</span><em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/Interaction.html#CoupleAMTs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.Interaction.CoupleAMTs" title="Permalink to this definition">¶</a></dt>
    <dd><p>Couple astral microtubules with springs</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">None</td>
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    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.Interaction.CoupleAMTsToCentrosomes">
    <code class="descclassname">LoadCase.Interaction.</code><code class="descname">CoupleAMTsToCentrosomes</code><span class="sig-paren">(</span><em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/Interaction.html#CoupleAMTsToCentrosomes"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.Interaction.CoupleAMTsToCentrosomes" title="Permalink to this definition">¶</a></dt>
    <dd><p>Connect astral microtubules to centrosomes</p>
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>kwargs</strong> – object</td>
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    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">None</td>
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    </tbody>
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    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.Interaction.CoupleIpMTsToCentrosomes">
    <code class="descclassname">LoadCase.Interaction.</code><code class="descname">CoupleIpMTsToCentrosomes</code><span class="sig-paren">(</span><em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/Interaction.html#CoupleIpMTsToCentrosomes"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.Interaction.CoupleIpMTsToCentrosomes" title="Permalink to this definition">¶</a></dt>
    <dd><p>Connect and couple interpolar microtubules to centrosomes</p>
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>kwargs</strong> – object</td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">None</td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.Interaction.CoupleIpMTsToSring">
    <code class="descclassname">LoadCase.Interaction.</code><code class="descname">CoupleIpMTsToSring</code><span class="sig-paren">(</span><em>data</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/Interaction.html#CoupleIpMTsToSring"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.Interaction.CoupleIpMTsToSring" title="Permalink to this definition">¶</a></dt>
    <dd><p>Create distributed elastic spring and couple interpolar microtubules to it</p>
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    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">None</td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.Interaction.create_interactions">
    <code class="descclassname">LoadCase.Interaction.</code><code class="descname">create_interactions</code><span class="sig-paren">(</span><em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/Interaction.html#create_interactions"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.Interaction.create_interactions" title="Permalink to this definition">¶</a></dt>
    <dd><p>Define all interactions and connections within model</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>kwargs</strong> – object</td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">kwargs</td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">object</td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">data</td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">list</td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    </div>
    <div class="section" id="module-LoadCase.InteractionHelpers">
    <span id="loadcase-interactionhelpers-module"></span><h2>LoadCase.InteractionHelpers module<a class="headerlink" href="#module-LoadCase.InteractionHelpers" title="Permalink to this headline">¶</a></h2>
    <dl class="function">
    <dt id="LoadCase.InteractionHelpers.attach_spring">
    <code class="descclassname">LoadCase.InteractionHelpers.</code><code class="descname">attach_spring</code><span class="sig-paren">(</span><em>region</em>, <em>dof</em>, <em>name</em>, <em>springType='Ground'</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/InteractionHelpers.html#attach_spring"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.InteractionHelpers.attach_spring" title="Permalink to this definition">¶</a></dt>
    <dd><p>Defines a spring object that couples two points or a point to the ground</p>
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    <li><strong>region</strong> (<em>str</em>) – Name of the region to which spring is attached</li>
    <li><strong>dof</strong> (<em>int</em>) – Number of DOF associated with the spring.</li>
    <li><strong>name</strong> (<em>str</em>) – name of the spring connection</li>
    <li><strong>springType</strong> (<em>str</em>) – Type of the spring. Either Ground or Pair</li>
    <li><strong>kwargs</strong> (<em>dict</em>) – model parameters</li>
    </ul>
    </td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Null</p>
    </td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">Null</p>
    </td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.InteractionHelpers.couple_nearest_aMTs">
    <code class="descclassname">LoadCase.InteractionHelpers.</code><code class="descname">couple_nearest_aMTs</code><span class="sig-paren">(</span><em>i</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/InteractionHelpers.html#couple_nearest_aMTs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.InteractionHelpers.couple_nearest_aMTs" title="Permalink to this definition">¶</a></dt>
    <dd><p>Create a spring-based coupling of pairs of astral microtubules</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    <li><strong>i</strong> (<em>int</em>) – Number of aMT</li>
    <li><strong>kwargs</strong> (<em>dict</em>) – model parameters</li>
    </ul>
    </td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Null</p>
    </td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">Null</p>
    </td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.InteractionHelpers.coupling_constraint">
    <code class="descclassname">LoadCase.InteractionHelpers.</code><code class="descname">coupling_constraint</code><span class="sig-paren">(</span><em>region1</em>, <em>region2</em>, <em>influenceRadius</em>, <em>couplingType</em>, <em>weightingMethod</em>, <em>name</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/InteractionHelpers.html#coupling_constraint"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.InteractionHelpers.coupling_constraint" title="Permalink to this definition">¶</a></dt>
    <dd><p>Create a coupling constraint between two regions</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
    <li><strong>region1</strong> (<em>object</em>) – Master region</li>
    <li><strong>region2</strong> (<em>object</em>) – Slave region</li>
    <li><strong>influenceRadius</strong> – The influence of the master region will be distributed</li>
    </ul>
    </td>
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    </tbody>
    </table>
    <p>throughout the subregion in the slave region defined by this radius</p>
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    <li><strong>couplingType</strong> – Type of coupling is DISTRIBUTED ot STRUCTURAL</li>
    <li><strong>weightingMethod</strong> (<em>str</em>) – Method of averaging the parameters of the coupling</li>
    <li><strong>name</strong> (<em>str</em>) – Name of the coupling region</li>
    <li><strong>kwargs</strong> (<em>dict</em>) – model parameters</li>
    </ul>
    </td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Null</p>
    </td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">Null</p>
    </td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.InteractionHelpers.create_RP">
    <code class="descclassname">LoadCase.InteractionHelpers.</code><code class="descname">create_RP</code><span class="sig-paren">(</span><em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/InteractionHelpers.html#create_RP"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.InteractionHelpers.create_RP" title="Permalink to this definition">¶</a></dt>
    <dd><p>Create a reference point</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>kwargs</strong> – object</td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">reference point object</td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.InteractionHelpers.find_nearest">
    <code class="descclassname">LoadCase.InteractionHelpers.</code><code class="descname">find_nearest</code><span class="sig-paren">(</span><em>position</em>, <em>regions</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/InteractionHelpers.html#find_nearest"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.InteractionHelpers.find_nearest" title="Permalink to this definition">¶</a></dt>
    <dd><p>Find the astral microtubules that have the closest positions</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    <li><strong>position</strong> (<em>tuple</em>) – (x, y, z) position of the aMT growing end</li>
    <li><strong>regions</strong> (<em>list of objects</em>) – Regions that contain nearest aMT ends</li>
    </ul>
    </td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Null</p>
    </td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">Null</p>
    </td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.InteractionHelpers.pick_region">
    <code class="descclassname">LoadCase.InteractionHelpers.</code><code class="descname">pick_region</code><span class="sig-paren">(</span><em>verts_index</em>, <em>regionType</em>, <em>collectionName</em>, <em>position</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/InteractionHelpers.html#pick_region"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.InteractionHelpers.pick_region" title="Permalink to this definition">¶</a></dt>
    <dd><p>Pick a region to assign connection</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    <li><strong>regionType</strong> – ‘vertice’, ‘edge’, ‘centrosome’ -&gt; defines the type of the picked region</li>
    <li><strong>collectionName</strong> – name of the entity specified by the region</li>
    <li><strong>position</strong> – ‘centrosome-right’, ‘centrosome-left’ -&gt; defines to which pole the region belongs</li>
    <li><strong>kwargs</strong> – object</li>
    </ul>
    </td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">(object) region</p>
    </td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.InteractionHelpers.sum_regions">
    <code class="descclassname">LoadCase.InteractionHelpers.</code><code class="descname">sum_regions</code><span class="sig-paren">(</span><em>verts_index</em>, <em>regionType</em>, <em>collectionName</em>, <em>separate='True'</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/InteractionHelpers.html#sum_regions"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.InteractionHelpers.sum_regions" title="Permalink to this definition">¶</a></dt>
    <dd><p>Split a single picked region into a collection of sub-regions</p>
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    <li><strong>regionType</strong> – ‘vertice’, ‘edge’, ‘centrosome’ -&gt; defines the type of the picked region</li>
    <li><strong>collectionName</strong> – name of the entity specified by the region</li>
    <li><strong>separate</strong> – ‘True’ -&gt; separate combined region into right and left sub-regions</li>
    <li><strong>kwargs</strong> – opbject</li>
    </ul>
    </td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">either combined_region or combined_region_right and combined_region_left</p>
    </td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    </div>
    <div class="section" id="module-LoadCase.LoadsAndBCs">
    <span id="loadcase-loadsandbcs-module"></span><h2>LoadCase.LoadsAndBCs module<a class="headerlink" href="#module-LoadCase.LoadsAndBCs" title="Permalink to this headline">¶</a></h2>
    <dl class="function">
    <dt id="LoadCase.LoadsAndBCs.create_bc">
    <code class="descclassname">LoadCase.LoadsAndBCs.</code><code class="descname">create_bc</code><span class="sig-paren">(</span><em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/LoadsAndBCs.html#create_bc"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.LoadsAndBCs.create_bc" title="Permalink to this definition">¶</a></dt>
    <dd><p>Fix growing ends of aMTs where they are attached to the membrane</p>
    <table class="docutils field-list" frame="void" rules="none">
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    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>kwargs</strong> (<em>dict</em>) – model parameters</td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">Null</td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">Null</td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    <dl class="function">
    <dt id="LoadCase.LoadsAndBCs.create_load">
    <code class="descclassname">LoadCase.LoadsAndBCs.</code><code class="descname">create_load</code><span class="sig-paren">(</span><em>data</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/LoadsAndBCs.html#create_load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.LoadsAndBCs.create_load" title="Permalink to this definition">¶</a></dt>
    <dd><p>Create and apply compressing load at each connection between connectors and ipMTs</p>
    <table class="docutils field-list" frame="void" rules="none">
    <col class="field-name" />
    <col class="field-body" />
    <tbody valign="top">
    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
    <li><strong>data</strong> (<em>list</em>) – list containing all ipMTs and connectors of the model</li>
    <li><strong>kwargs</strong> (<em>dict</em>) – model parameters</li>
    </ul>
    </td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Null</p>
    </td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">Null</p>
    </td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    </div>
    <div class="section" id="module-LoadCase.Step">
    <span id="loadcase-step-module"></span><h2>LoadCase.Step module<a class="headerlink" href="#module-LoadCase.Step" title="Permalink to this headline">¶</a></h2>
    <dl class="function">
    <dt id="LoadCase.Step.Step">
    <code class="descclassname">LoadCase.Step.</code><code class="descname">Step</code><span class="sig-paren">(</span><em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/LoadCase/Step.html#Step"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#LoadCase.Step.Step" title="Permalink to this definition">¶</a></dt>
    <dd><p>Create buckling analysis and define all the parameters</p>
    <table class="docutils field-list" frame="void" rules="none">
    <col class="field-name" />
    <col class="field-body" />
    <tbody valign="top">
    <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>kwargs</strong> (<em>dict</em>) – model parameters</td>
    </tr>
    <tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">Null</td>
    </tr>
    <tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">Null</td>
    </tr>
    </tbody>
    </table>
    </dd></dl>
    
    </div>
    <div class="section" id="module-LoadCase">
    <span id="module-contents"></span><h2>Module contents<a class="headerlink" href="#module-LoadCase" title="Permalink to this headline">¶</a></h2>
    <p>This module contains functions that define interaction between various parts of the mitotic spindle,
    create compressive loads and specify boundary conditions as well as formulate the buckling step analysis.</p>
    </div>
    </div>
    
    
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