Rendering of the source text

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<!--
This CellML file was generated on 11/01/2008 at 16:04:29 using:

COR (0.9.31.849)
Copyright 2002-2008 Dr Alan Garny
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk

CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
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<article>

  <section id="sec_status">
    <title>Model Status</title>
    <para>
This model is known to run in OpenCell and COR to reproduce the output shown in the publication. The units have been checked and they are consistent.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: Mathematical modeling of the cardiac action potential has proven to be a powerful tool for illuminating various aspects of cardiac function, including cardiac arrhythmias. However, no currently available detailed action potential model accurately reproduces the dynamics of the cardiac action potential and intracellular calcium (Ca(i)) cycling at rapid heart rates relevant to ventricular tachycardia and fibrillation. The aim of this study was to develop such a model. Using an existing rabbit ventricular action potential model, we modified the L-type calcium (Ca) current (I(Ca,L)) and Ca(i) cycling formulations based on new experimental patch-clamp data obtained in isolated rabbit ventricular myocytes, using the perforated patch configuration at 35-37 degrees C. Incorporating a minimal seven-state Markovian model of I(Ca,L) that reproduced Ca- and voltage-dependent kinetics in combination with our previously published dynamic Ca(i) cycling model, the new model replicates experimentally observed action potential duration and Ca(i) transient alternans at rapid heart rates, and accurately reproduces experimental action potential duration restitution curves obtained by either dynamic or S1S2 pacing.
</para> 

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>model diagram</title>
    </objectinfo>
    <imagedata fileref="mahajan_2008.png"/>
  </imageobject>
</mediaobject>
<caption>Schematic diagram of the Mahajan et al model, featuring whole-cell model showing basic elements of Ca cycling machinery and membrane ion currents, as well as a seven-state Markovian model of the L-type Ca channel.</caption>
</informalfigure>

<para>
The original publication reference is cited below:
</para>

<para>
A rabbit ventricular action potential model replicating cardiac dynamics at rapid heart rates, Mahajan A, Shiferaw Y, Sato D, Baher A, Olcese R, Xie LH, Yang MJ, Chen PS, Restrepo JG, Karma A, Garfinkel A, Qu Z, Weiss JN, 2008 <emphasis>Biophysical Journal</emphasis>, 94(2):392-410 <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/18160660?ordinalpos=2&amp;itool=EntrezSystem2.PEntrez.Pubmed.Pubmed_ResultsPanel.Pubmed_RVDocSum">PubMed ID: 18160660</ulink>
</para>

</sect1>
</article>
</documentation> 



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      <variable units="per_ms" name="alpha"/>
      <variable units="per_ms" name="beta"/>
      <variable units="per_ms" name="k1"/>
      <variable units="per_ms" name="k2" initial_value="1.03615e-4"/>
      <variable units="per_ms" name="k1t" initial_value="0.00413"/>
      <variable units="per_ms" name="k2t" initial_value="0.00224"/>
      <variable units="per_ms" name="k3"/>
      <variable units="per_ms" name="k3t"/>
      <variable units="per_ms" name="k6"/>
      <variable units="per_ms" name="k5"/>
      <variable units="per_ms" name="k6t"/>
      <variable units="per_ms" name="k5t"/>
      <variable units="per_ms" name="k4"/>
      <variable units="per_ms" name="k4t"/>
      <variable units="per_ms" name="r1" initial_value="0.3"/>
      <variable units="per_ms" name="r2" initial_value="3"/>
      <variable units="per_ms" name="s1"/>
      <variable units="per_ms" name="s1t" initial_value="0.00195"/>
      <variable units="per_ms" name="s2"/>
      <variable units="per_ms" name="s2t"/>
      <variable units="ms" name="recov"/>
      <variable units="ms" name="tca" initial_value="78.0329"/>
      <variable units="ms" name="tau_ca"/>
      <variable units="ms" name="tauca"/>
      <variable units="ms" name="tauba"/>
      <variable units="ms" name="taupo" initial_value="1"/>
      <variable units="ms" name="tau3" initial_value="3"/>
      <variable units="dimensionless" name="Pr"/>
      <variable units="dimensionless" name="Ps"/>
      <variable units="dimensionless" name="poi"/>
      <variable units="dimensionless" public_interface="out" name="po"/>
      <variable units="mA_per_cm2" public_interface="out" name="rxa"/>
      <variable units="uM_per_ms" public_interface="out" name="jca"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>za</ci>
            <apply>
               <times/>
               <ci>V</ci>
               <cn cellml:units="dimensionless">2</cn>
               <ci>FonRT</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rxa</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>pca</ci>
                        <ci>F</ci>
                        <ci>FonRT</ci>
                        <apply>
                           <minus/>
                           <apply>
                              <times/>
                              <ci>csm</ci>
                              <apply>
                                 <exp/>
                                 <ci>za</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">0.341</cn>
                              <ci>Ca_o</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>za</ci>
                     </apply>
                     <cn cellml:units="dimensionless">0.001</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>pca</ci>
                        <ci>V</ci>
                        <ci>F</ci>
                        <ci>FonRT</ci>
                        <apply>
                           <minus/>
                           <apply>
                              <times/>
                              <ci>csm</ci>
                              <apply>
                                 <exp/>
                                 <ci>za</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">0.341</cn>
                              <ci>Ca_o</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <ci>za</ci>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>poinf</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <ci>vth</ci>
                           </apply>
                        </apply>
                        <ci>s6</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha</ci>
            <apply>
               <divide/>
               <ci>poinf</ci>
               <ci>taupo</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>poinf</ci>
               </apply>
               <ci>taupo</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>fca</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>cat</ci>
                        <ci>Ca_dyad</ci>
                     </apply>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>s1</ci>
            <apply>
               <times/>
               <cn cellml:units="per_ms">0.0182688</cn>
               <ci>fca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k1</ci>
            <apply>
               <times/>
               <cn cellml:units="per_ms">0.024168</cn>
               <ci>fca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>s2</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>s1</ci>
                        <ci>r1</ci>
                     </apply>
                     <ci>r2</ci>
                  </apply>
                  <ci>k2</ci>
               </apply>
               <ci>k1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>s2t</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>s1t</ci>
                        <ci>r1</ci>
                     </apply>
                     <ci>r2</ci>
                  </apply>
                  <ci>k2t</ci>
               </apply>
               <ci>k1t</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>poi</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <ci>vx</ci>
                           </apply>
                        </apply>
                        <ci>sx</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k3</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>poi</ci>
               </apply>
               <ci>tau3</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k3t</ci>
            <ci>k3</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Pr</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <ci>vy</ci>
                              </apply>
                           </apply>
                           <ci>sy</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>recov</ci>
            <apply>
               <plus/>
               <cn cellml:units="ms">10</cn>
               <apply>
                  <times/>
                  <cn cellml:units="ms">4954</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>V</ci>
                        <cn cellml:units="mV">15.6</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_ca</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <ci>tca</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>Ca_dyad</ci>
                           <ci>cpt</ci>
                        </apply>
                        <cn cellml:units="dimensionless">4</cn>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">0.1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tauca</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>recov</ci>
                     <ci>tau_ca</ci>
                  </apply>
                  <ci>Pr</ci>
               </apply>
               <ci>tau_ca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tauba</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>recov</ci>
                     <cn cellml:units="ms">450</cn>
                  </apply>
                  <ci>Pr</ci>
               </apply>
               <cn cellml:units="ms">450</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Ps</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <ci>vyr</ci>
                           </apply>
                        </apply>
                        <ci>syr</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k6</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>fca</ci>
                  <ci>Ps</ci>
               </apply>
               <ci>tauca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k5</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>Ps</ci>
               </apply>
               <ci>tauca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k6t</ci>
            <apply>
               <divide/>
               <ci>Ps</ci>
               <ci>tauba</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k5t</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>Ps</ci>
               </apply>
               <ci>tauba</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k4</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>k3</ci>
                              <ci>alpha</ci>
                           </apply>
                           <ci>beta</ci>
                        </apply>
                        <ci>k1</ci>
                     </apply>
                     <ci>k2</ci>
                  </apply>
                  <ci>k5</ci>
               </apply>
               <ci>k6</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k4t</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>k3t</ci>
                              <ci>alpha</ci>
                           </apply>
                           <ci>beta</ci>
                        </apply>
                        <ci>k1t</ci>
                     </apply>
                     <ci>k2t</ci>
                  </apply>
                  <ci>k5t</ci>
               </apply>
               <ci>k6t</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>po</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <ci>xi1ca</ci>
                           </apply>
                           <ci>xi2ca</ci>
                        </apply>
                        <ci>xi1ba</ci>
                     </apply>
                     <ci>xi2ba</ci>
                  </apply>
                  <ci>c1</ci>
               </apply>
               <ci>c2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>c1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>alpha</ci>
                     <ci>c2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k2</ci>
                     <ci>xi1ca</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k2t</ci>
                     <ci>xi1ba</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>r2</ci>
                     <ci>po</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>beta</ci>
                     <ci>r1</ci>
                     <ci>k1t</ci>
                     <ci>k1</ci>
                  </apply>
                  <ci>c1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>c2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>beta</ci>
                     <ci>c1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k5</ci>
                     <ci>xi2ca</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k5t</ci>
                     <ci>xi2ba</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k6</ci>
                     <ci>k6t</ci>
                     <ci>alpha</ci>
                  </apply>
                  <ci>c2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xi1ca</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>k1</ci>
                     <ci>c1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k4</ci>
                     <ci>xi2ca</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>s1</ci>
                     <ci>po</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k3</ci>
                     <ci>k2</ci>
                     <ci>s2</ci>
                  </apply>
                  <ci>xi1ca</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xi1ba</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>k1t</ci>
                     <ci>c1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k4t</ci>
                     <ci>xi2ba</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>s1t</ci>
                     <ci>po</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k3t</ci>
                     <ci>k2t</ci>
                     <ci>s2t</ci>
                  </apply>
                  <ci>xi1ba</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xi2ca</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>k3</ci>
                     <ci>xi1ca</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k6</ci>
                     <ci>c2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k5</ci>
                     <ci>k4</ci>
                  </apply>
                  <ci>xi2ca</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xi2ba</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>k3t</ci>
                     <ci>xi1ba</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k6t</ci>
                     <ci>c2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k5t</ci>
                     <ci>k4t</ci>
                  </apply>
                  <ci>xi2ba</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>jca</ci>
            <apply>
               <times/>
               <ci>gca</ci>
               <ci>po</ci>
               <ci>rxa</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xica</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">2</cn>
               <ci>wca</ci>
               <ci>jca</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IK1">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mV" public_interface="in" name="ek"/>
      <variable units="mM" public_interface="in" name="K_o"/>
      <variable units="uS_per_nF" name="gkix" initial_value="0.3"/>
      <variable units="per_ms" name="aki"/>
      <variable units="per_ms" name="bki"/>
      <variable units="dimensionless" name="xkin"/>
      <variable units="nA_per_nF" public_interface="out" name="xik1"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>aki</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">1.02</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_mV">0.2385</cn>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <ci>ek</ci>
                           </apply>
                           <cn cellml:units="mV">59.215</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>bki</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn cellml:units="per_ms">0.49124</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="per_mV">0.08032</cn>
                           <apply>
                              <plus/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <ci>ek</ci>
                              </apply>
                              <cn cellml:units="mV">5.476</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="per_ms">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="per_mV">0.06175</cn>
                           <apply>
                              <minus/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <ci>ek</ci>
                              </apply>
                              <cn cellml:units="mV">594.31</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="per_mV">0.5143</cn>
                        </apply>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <ci>ek</ci>
                           </apply>
                           <cn cellml:units="mV">4.753</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xkin</ci>
            <apply>
               <divide/>
               <ci>aki</ci>
               <apply>
                  <plus/>
                  <ci>aki</ci>
                  <ci>bki</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xik1</ci>
            <apply>
               <times/>
               <ci>gkix</ci>
               <apply>
                  <root/>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <cn cellml:units="mM">5.4</cn>
                  </apply>
               </apply>
               <ci>xkin</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>ek</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IKr">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mV" public_interface="in" name="ek"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mM" public_interface="in" name="K_o"/>
      <variable units="dimensionless" name="xr" initial_value="0.007074239331"/>
      <variable units="uS_per_nF" name="gkr" initial_value="0.0125"/>
      <variable units="per_ms" name="xkrv1"/>
      <variable units="per_ms" name="xkrv2"/>
      <variable units="ms" name="taukr"/>
      <variable units="dimensionless" name="xkrinf"/>
      <variable units="dimensionless" name="rg"/>
      <variable units="nA_per_nF" public_interface="out" name="xikr"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>xkrv1</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_ms">0.00138</cn>
                        <cn cellml:units="per_mV">1</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">7</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="per_mV">0.123</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">7</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <gt/>
                     <apply>
                        <abs/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">7</cn>
                        </apply>
                     </apply>
                     <cn cellml:units="mV">0.001</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <cn cellml:units="per_ms">0.00138</cn>
                     <cn cellml:units="dimensionless">0.123</cn>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>xkrv2</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_ms">0.00061</cn>
                        <cn cellml:units="per_mV">1</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">10</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="per_mV">0.145</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">10</cn>
                              </apply>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
                  <apply>
                     <gt/>
                     <apply>
                        <abs/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">10</cn>
                        </apply>
                     </apply>
                     <cn cellml:units="mV">0.001</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <cn cellml:units="per_ms">0.00061</cn>
                     <cn cellml:units="dimensionless">0.145</cn>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>taukr</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>xkrv1</ci>
                  <ci>xkrv2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xkrinf</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">50</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">7.5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rg</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">33</cn>
                        </apply>
                        <cn cellml:units="mV">22.4</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xikr</ci>
            <apply>
               <times/>
               <ci>gkr</ci>
               <apply>
                  <root/>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <cn cellml:units="mM">5.4</cn>
                  </apply>
               </apply>
               <ci>xr</ci>
               <ci>rg</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>ek</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xr</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xkrinf</ci>
                  <ci>xr</ci>
               </apply>
               <ci>taukr</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IKs">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="uM" public_interface="in" name="Ca_i"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="uS_per_nF" name="gks" initial_value="0.1386"/>
      <variable units="dimensionless" name="xs1" initial_value="0.048267587131"/>
      <variable units="dimensionless" name="xs2" initial_value="0.105468807033"/>
      <variable units="mV" public_interface="in" name="eks"/>
      <variable units="dimensionless" name="xs1ss"/>
      <variable units="dimensionless" name="xs2ss"/>
      <variable units="ms" name="tauxs1"/>
      <variable units="ms" name="tauxs2"/>
      <variable units="dimensionless" name="gksx"/>
      <variable units="nA_per_nF" public_interface="out" name="xiks"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>xs1ss</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">1.5</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">16.7</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xs2ss</ci>
            <ci>xs1ss</ci>
         </apply>
         <apply>
            <eq/>
            <ci>tauxs1</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <cn cellml:units="ms">1</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <divide/>
                           <cn cellml:units="dimensionless">0.0000719</cn>
                           <cn cellml:units="dimensionless">0.148</cn>
                        </apply>
                        <apply>
                           <divide/>
                           <cn cellml:units="dimensionless">0.000131</cn>
                           <cn cellml:units="dimensionless">0.0687</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">30</cn>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <cn cellml:units="mV">0.001</cn>
                        <cn cellml:units="dimensionless">0.0687</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <cn cellml:units="ms">1</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <cn cellml:units="per_mV">0.0000719</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">30</cn>
                              </apply>
                           </apply>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <exp/>
                                 <apply>
                                    <times/>
                                    <apply>
                                       <minus/>
                                       <cn cellml:units="per_mV">0.148</cn>
                                    </apply>
                                    <apply>
                                       <plus/>
                                       <ci>V</ci>
                                       <cn cellml:units="mV">30</cn>
                                    </apply>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <cn cellml:units="per_mV">0.000131</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">30</cn>
                              </apply>
                           </apply>
                           <apply>
                              <minus/>
                              <apply>
                                 <exp/>
                                 <apply>
                                    <times/>
                                    <cn cellml:units="per_mV">0.0687</cn>
                                    <apply>
                                       <plus/>
                                       <ci>V</ci>
                                       <cn cellml:units="mV">30</cn>
                                    </apply>
                                 </apply>
                              </apply>
                              <cn cellml:units="dimensionless">1</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>tauxs2</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">4</cn>
               <ci>tauxs1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>gksx</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.8</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <cn cellml:units="uM">0.5</cn>
                           <ci>Ca_i</ci>
                        </apply>
                        <cn cellml:units="dimensionless">3</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xiks</ci>
            <apply>
               <times/>
               <ci>gks</ci>
               <ci>gksx</ci>
               <ci>xs1</ci>
               <ci>xs2</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>eks</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xs1</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xs1ss</ci>
                  <ci>xs1</ci>
               </apply>
               <ci>tauxs1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xs2</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xs2ss</ci>
                  <ci>xs2</ci>
               </apply>
               <ci>tauxs2</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ito">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mV" public_interface="in" name="ek"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="nA_per_nF" public_interface="out" name="xito"/>
      <variable units="nA_per_nF" name="xitos"/>
      <variable units="nA_per_nF" name="xitof"/>
      <variable units="dimensionless" name="xtos" initial_value="0.00364776906"/>
      <variable units="dimensionless" name="ytos" initial_value="0.174403618112"/>
      <variable units="dimensionless" name="xtof" initial_value="0.003643592594"/>
      <variable units="dimensionless" name="ytof" initial_value="0.993331326442"/>
      <variable units="uS_per_nF" name="gtos" initial_value="0.04"/>
      <variable units="uS_per_nF" name="gtof" initial_value="0.11"/>
      <variable units="dimensionless" name="rt1"/>
      <variable units="dimensionless" name="rt2"/>
      <variable units="dimensionless" name="rt3"/>
      <variable units="dimensionless" name="rt4"/>
      <variable units="dimensionless" name="rt5"/>
      <variable units="dimensionless" name="xtos_inf"/>
      <variable units="dimensionless" name="ytos_inf"/>
      <variable units="dimensionless" name="xtof_inf"/>
      <variable units="dimensionless" name="ytof_inf"/>
      <variable units="dimensionless" name="rs_inf"/>
      <variable units="ms" name="txs"/>
      <variable units="ms" name="tys"/>
      <variable units="ms" name="txf"/>
      <variable units="ms" name="tyf"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>rt1</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>V</ci>
                     <cn cellml:units="mV">3</cn>
                  </apply>
               </apply>
               <cn cellml:units="mV">15</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rt2</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <ci>V</ci>
                  <cn cellml:units="mV">33.5</cn>
               </apply>
               <cn cellml:units="mV">10</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rt3</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <ci>V</ci>
                  <cn cellml:units="mV">60</cn>
               </apply>
               <cn cellml:units="mV">10</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rt4</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="mV">30</cn>
                  </apply>
                  <ci>V</ci>
               </apply>
               <cn cellml:units="mV">30</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rt5</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <ci>V</ci>
                  <cn cellml:units="mV">33.5</cn>
               </apply>
               <cn cellml:units="mV">10</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xtos_inf</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <ci>rt1</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ytos_inf</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <ci>rt2</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xtof_inf</ci>
            <ci>xtos_inf</ci>
         </apply>
         <apply>
            <eq/>
            <ci>ytof_inf</ci>
            <ci>ytos_inf</ci>
         </apply>
         <apply>
            <eq/>
            <ci>rs_inf</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <ci>rt2</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>txs</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="ms">9</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <minus/>
                           <ci>rt1</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">0.5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tys</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="ms">3000</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <ci>rt3</ci>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">30</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>txf</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <cn cellml:units="ms">3.5</cn>
                  <apply>
                     <exp/>
                     <ci>rt4</ci>
                  </apply>
               </apply>
               <cn cellml:units="ms">1.5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tyf</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="ms">20</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <ci>rt5</ci>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">20</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xtos</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xtos_inf</ci>
                  <ci>xtos</ci>
               </apply>
               <ci>txs</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ytos</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>ytos_inf</ci>
                  <ci>ytos</ci>
               </apply>
               <ci>tys</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xtof</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xtof_inf</ci>
                  <ci>xtof</ci>
               </apply>
               <ci>txf</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ytof</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>ytof_inf</ci>
                  <ci>ytof</ci>
               </apply>
               <ci>tyf</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xitos</ci>
            <apply>
               <times/>
               <ci>gtos</ci>
               <ci>xtos</ci>
               <apply>
                  <plus/>
                  <ci>ytos</ci>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.5</cn>
                     <ci>rs_inf</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>ek</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xitof</ci>
            <apply>
               <times/>
               <ci>gtof</ci>
               <ci>xtof</ci>
               <ci>ytof</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>ek</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xito</ci>
            <apply>
               <plus/>
               <ci>xitos</ci>
               <ci>xitof</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="INaK">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mM" public_interface="in" name="Na_i"/>
      <variable units="mM" public_interface="in" name="Na_o"/>
      <variable units="mM" public_interface="in" name="K_o"/>
      <variable units="per_mV" public_interface="in" name="FonRT"/>
      <variable units="nA_per_nF" public_interface="out" name="xiNaK"/>
      <variable units="nA_per_nF" name="gNaK" initial_value="1.5"/>
      <variable units="mM" name="xkmko" initial_value="1.5"/>
      <variable units="mM" name="xkmnai" initial_value="12"/>
      <variable units="dimensionless" name="sigma"/>
      <variable units="dimensionless" name="fNaK"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>sigma</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>Na_o</ci>
                        <cn cellml:units="mM">67.3</cn>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
               <cn cellml:units="dimensionless">7</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>fNaK</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.1245</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">0.1</cn>
                           </apply>
                           <ci>V</ci>
                           <ci>FonRT</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.0365</cn>
                     <ci>sigma</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                           </apply>
                           <ci>FonRT</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xiNaK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>gNaK</ci>
                        <ci>fNaK</ci>
                        <ci>Na_i</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Na_i</ci>
                        <ci>xkmnai</ci>
                     </apply>
                  </apply>
                  <ci>K_o</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_o</ci>
                  <ci>xkmko</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="INaCa">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="per_mV" public_interface="in" name="FonRT"/>
      <variable units="uM" public_interface="in" name="Ca_submem"/>
      <variable units="mM" public_interface="in" name="Ca_o"/>
      <variable units="mM" public_interface="in" name="Na_i"/>
      <variable units="mM" public_interface="in" name="Na_o"/>
      <variable units="mM" public_interface="in" name="csm"/>
      <variable units="mV_per_uM" public_interface="in" name="wca"/>
      <variable units="uM_per_ms" name="gNaCa" initial_value="0.84"/>
      <variable units="dimensionless" name="aloss"/>
      <variable units="mM4" name="yz1"/>
      <variable units="mM4" name="yz2"/>
      <variable units="mM4" name="yz3"/>
      <variable units="mM4" name="yz4"/>
      <variable units="mM4" name="zw3"/>
      <variable units="dimensionless" name="zw4"/>
      <variable units="mM4" name="zw8"/>
      <variable units="uM_per_ms" public_interface="out" name="jNaCa"/>
      <variable units="nA_per_nF" public_interface="out" name="xiNaCa"/>
      <variable units="uM" name="xkdna" initial_value="0.3"/>
      <variable units="mM" name="xmcao" initial_value="1.3"/>
      <variable units="mM" name="xmnao" initial_value="87.5"/>
      <variable units="mM" name="xmnai" initial_value="12.3"/>
      <variable units="mM" name="xmcai" initial_value="0.0036"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>zw3</ci>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_i</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>Ca_o</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <ci>V</ci>
                        <cn cellml:units="dimensionless">0.35</cn>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_o</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>csm</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <ci>V</ci>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">0.35</cn>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>zw4</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0.2</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <ci>V</ci>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">0.35</cn>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>aloss</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>xkdna</ci>
                        <ci>Ca_submem</ci>
                     </apply>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>yz1</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>xmcao</ci>
                  <apply>
                     <power/>
                     <ci>Na_i</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>xmnao</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>csm</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>yz2</ci>
            <apply>
               <times/>
               <apply>
                  <power/>
                  <ci>xmnai</ci>
                  <cn cellml:units="dimensionless">3</cn>
               </apply>
               <ci>Ca_o</ci>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>csm</ci>
                     <ci>xmcai</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>yz3</ci>
            <apply>
               <times/>
               <ci>xmcai</ci>
               <apply>
                  <power/>
                  <ci>Na_o</ci>
                  <cn cellml:units="dimensionless">3</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>Na_i</ci>
                        <ci>xmnai</ci>
                     </apply>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>yz4</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_i</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>Ca_o</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_o</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>csm</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>zw8</ci>
            <apply>
               <plus/>
               <ci>yz1</ci>
               <ci>yz2</ci>
               <ci>yz3</ci>
               <ci>yz4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>jNaCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>gNaCa</ci>
                  <ci>aloss</ci>
                  <ci>zw3</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>zw4</ci>
                  <ci>zw8</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xiNaCa</ci>
            <apply>
               <times/>
               <ci>wca</ci>
               <ci>jNaCa</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Irel">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="uM" public_interface="in" name="Ca_NSR"/>
      <variable units="uM_per_ms" public_interface="in" name="dCa_JSR"/>
      <variable units="dimensionless" public_interface="in" name="po"/>
      <variable units="mA_per_cm2" public_interface="in" name="rxa"/>
      <variable units="uM" name="cstar" initial_value="90"/>
      <variable units="uM" name="Ca_JSR" initial_value="97.505463697266"/>
      <variable units="per_ms" name="gryr" initial_value="2.58079"/>
      <variable units="dimensionless" name="gbarsr" initial_value="26841.8"/>
      <variable units="mmole_per_coulomb_cm" name="gdyad" initial_value="9000"/>
      <variable units="per_mV" name="ax" initial_value="0.3576"/>
      <variable units="per_mV" name="ay" initial_value="0.05"/>
      <variable units="per_ms" name="av" initial_value="11.3"/>
      <variable units="uM_per_ms" name="bv"/>
      <variable units="uM_per_ms" name="Qr0"/>
      <variable units="uM_per_ms" name="Qr"/>
      <variable units="dimensionless" name="sparkV"/>
      <variable units="per_ms" name="spark_rate"/>
      <variable units="ms" name="taua" initial_value="100"/>
      <variable units="ms" name="taur" initial_value="30"/>
      <variable units="uM_per_ms" name="xirp"/>
      <variable units="uM_per_ms" name="xicap"/>
      <variable units="uM_per_ms" public_interface="out" name="xiryr"/>
      <variable units="uM_per_ms" public_interface="out" name="xir" initial_value="0.006679257264"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_JSR</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_NSR</ci>
                  <ci>Ca_JSR</ci>
               </apply>
               <ci>taua</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>bv</ci>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn cellml:units="per_ms">1</cn>
                     <ci>av</ci>
                  </apply>
                  <ci>cstar</ci>
               </apply>
               <cn cellml:units="uM_per_ms">50</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Qr0</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>Ca_JSR</ci>
                        <cn cellml:units="uM">50</cn>
                     </apply>
                     <cn cellml:units="ms">1</cn>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>Ca_JSR</ci>
                        <cn cellml:units="uM">50</cn>
                     </apply>
                     <apply>
                        <lt/>
                        <ci>Ca_JSR</ci>
                        <ci>cstar</ci>
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                  </apply>
               </piece>
               <piece>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>av</ci>
                        <ci>Ca_JSR</ci>
                     </apply>
                     <ci>bv</ci>
                  </apply>
                  <apply>
                     <geq/>
                     <ci>Ca_JSR</ci>
                     <ci>cstar</ci>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="uM_per_ms">0</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>Qr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Ca_NSR</ci>
                  <ci>Qr0</ci>
               </apply>
               <ci>cstar</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>sparkV</ci>
            <apply>
               <divide/>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <ci>ay</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn cellml:units="mV">30</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>ay</ci>
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                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">30</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>spark_rate</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>gryr</ci>
                  <cn cellml:units="mA_per_cm2">1</cn>
               </apply>
               <ci>po</ci>
               <apply>
                  <abs/>
                  <ci>rxa</ci>
               </apply>
               <ci>sparkV</ci>
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         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xir</ci>
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            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>spark_rate</ci>
                  <ci>Qr</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>xir</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>taur</ci>
                              <ci>dCa_JSR</ci>
                           </apply>
                           <ci>Ca_NSR</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>taur</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xirp</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>po</ci>
                        <ci>Qr</ci>
                        <apply>
                           <abs/>
                           <ci>rxa</ci>
                        </apply>
                        <ci>gbarsr</ci>
                     </apply>
                     <cn cellml:units="mA_per_cm2">1</cn>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>ax</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">30</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>ax</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">30</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xicap</ci>
            <apply>
               <times/>
               <ci>po</ci>
               <ci>gdyad</ci>
               <apply>
                  <abs/>
                  <ci>rxa</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xiryr</ci>
            <apply>
               <plus/>
               <ci>xirp</ci>
               <ci>xicap</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ileak_Iup_Ixfer">
      <variable units="uM" public_interface="in" name="Ca_i"/>
      <variable units="uM" public_interface="in" name="Ca_NSR"/>
      <variable units="uM_per_ms" public_interface="out" name="jup"/>
      <variable units="uM_per_ms" public_interface="out" name="jleak"/>
      <variable units="uM" name="cup" initial_value="0.5"/>
      <variable units="uM" name="kj" initial_value="50"/>
      <variable units="uM_per_ms" name="vup" initial_value="0.4"/>
      <variable units="per_ms" name="gleak" initial_value="0.00002069"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>jup</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>vup</ci>
                  <ci>Ca_i</ci>
                  <ci>Ca_i</ci>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>Ca_i</ci>
                     <ci>Ca_i</ci>
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                  <apply>
                     <times/>
                     <ci>cup</ci>
                     <ci>cup</ci>
                  </apply>
               </apply>
            </apply>
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         <apply>
            <eq/>
            <ci>jleak</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>gleak</ci>
                     <ci>Ca_NSR</ci>
                     <ci>Ca_NSR</ci>
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                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>Ca_NSR</ci>
                        <ci>Ca_NSR</ci>
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                     <apply>
                        <times/>
                        <ci>kj</ci>
                        <ci>kj</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>Ca_NSR</ci>
                     <cn cellml:units="dimensionless">16.667</cn>
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                  <ci>Ca_i</ci>
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            </apply>
         </apply>
      </math>
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   <component name="Na">
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      <variable units="mV_per_uM" public_interface="in" name="wca"/>
      <variable units="mM" public_interface="out" name="Na_i" initial_value="11.441712311614"/>
      <variable units="nA_per_nF" public_interface="in" name="xina"/>
      <variable units="nA_per_nF" public_interface="in" name="xiNaK"/>
      <variable units="nA_per_nF" public_interface="in" name="xiNaCa"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>Na_i</ci>
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            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>xina</ci>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <ci>xiNaK</ci>
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                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <ci>xiNaCa</ci>
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                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>wca</ci>
                  <cn cellml:units="u_per_m">1000</cn>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="uM_per_ms" public_interface="in" name="xiryr"/>
      <variable units="uM" public_interface="out" name="Ca_dyad" initial_value="1.716573130685"/>
      <variable units="uM" public_interface="out" name="Ca_submem" initial_value="0.226941113355"/>
      <variable units="uM" public_interface="out" name="Ca_i" initial_value="0.256752008084"/>
      <variable units="uM" public_interface="out" name="Ca_NSR" initial_value="104.450004990523"/>
      <variable units="mM" public_interface="out" name="csm"/>
      <variable units="uM" name="bcal" initial_value="24"/>
      <variable units="uM" name="xkcal" initial_value="7"/>
      <variable units="uM" name="srmax" initial_value="47"/>
      <variable units="uM" name="srkd" initial_value="0.6"/>
      <variable units="uM" name="bmem" initial_value="15"/>
      <variable units="uM" name="kmem" initial_value="0.3"/>
      <variable units="uM" name="bsar" initial_value="42"/>
      <variable units="uM" name="ksar" initial_value="13"/>
      <variable units="dimensionless" name="bpxs"/>
      <variable units="dimensionless" name="spxs"/>
      <variable units="dimensionless" name="mempxs"/>
      <variable units="dimensionless" name="sarpxs"/>
      <variable units="dimensionless" name="dcsib"/>
      <variable units="dimensionless" name="bpxi"/>
      <variable units="dimensionless" name="spxi"/>
      <variable units="dimensionless" name="mempxi"/>
      <variable units="dimensionless" name="sarpxi"/>
      <variable units="dimensionless" name="dciib"/>
      <variable units="per_uM_per_ms" name="xkon" initial_value="0.0327"/>
      <variable units="per_ms" name="xkoff" initial_value="0.0196"/>
      <variable units="uM" name="btrop" initial_value="70"/>
      <variable units="uM_per_ms" name="xbi"/>
      <variable units="uM_per_ms" name="xbs"/>
      <variable units="uM" name="tropi" initial_value="22.171689894953"/>
      <variable units="uM" name="trops" initial_value="19.864701949854"/>
      <variable units="ms" name="taud" initial_value="4"/>
      <variable units="ms" name="taups" initial_value="0.5"/>
      <variable units="uM_per_ms" name="jd"/>
      <variable units="uM_per_ms" public_interface="in" name="jup"/>
      <variable units="uM_per_ms" public_interface="in" name="jleak"/>
      <variable units="uM_per_ms" public_interface="in" name="jNaCa"/>
      <variable units="uM_per_ms" public_interface="in" name="xir"/>
      <variable units="uM_per_ms" public_interface="in" name="jca"/>
      <variable units="uM_per_ms" public_interface="out" name="dCa_JSR"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>bpxs</ci>
            <apply>
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      <variable units="mV" public_interface="out" name="eks"/>
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      <variable units="mM" name="K_i" initial_value="140"/>
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      <variable units="mM" public_interface="in" name="Na_i"/>
      <variable units="mM" public_interface="in" name="Na_o"/>
      <variable units="per_mV" public_interface="in" name="FonRT"/>
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      <map_variables variable_2="xiryr" variable_1="xiryr"/>
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