Location: Hund, Rudy, 2004 @ 91024dd82fb7 / hund_rudy_2004_a.cellml

Author:
James Lawson <j.lawson@auckland.ac.nz>
Date:
2009-07-13 14:25:20+12:00
Desc:
added cmeta:id's to some variables, fixed session file to refer to correct variables
Permanent Source URI:
https://models.cellml.org/workspace/38f/rawfile/91024dd82fb7aee18a74a5f389ea25df20d55942/hund_rudy_2004_a.cellml

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<!--
This CellML file was generated on 28/01/2008 at 16:45:18 using:

COR (0.9.31.863)
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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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <author>
    <firstname>Penny</firstname>
          <surname>Noble</surname>
    <affiliation>
      <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
        This CellML version of the model has been checked in COR and PCEnv. A stimulus protocol has been added to allow the model to simulate action potentials for 5 seconds. The units are consistent and the model runs to recreate the published results. The parameter 'tissue' has been added to switch between the original (default value 0) and 'tissue' (any other value, for example 1) models.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
In the paper described here, Thomas Hund and Yoram Rudy present a detailed, and physiologically realistic, mathematical model of a canine ventricular cell.  Model simulations are able to recreate the rate-dependent phenomena associated with ion-channel kinetics, action potential properties, and calcium ion handling.  The model is based on an epicardial myocyte because these cells contain the largest transient outward potassium current (when compared with endocardial or midmyocardial myocytes).  The calcium/calmodulin-dependent protein kinase (CaMKII) regulatory pathway was embedded within the electrophysiological model, incorporating calcium-release formulation, calcium subspace, and dynamic chloride handling.  Results from the model simulations revealed CaMKII is an important determinant of the rate dependence of the calcium transient, but not of the action potential duration, which depends instead on the ion-channel kinetics.
</para>

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>model diagram</title>
    </objectinfo>
    <imagedata fileref="hund_2004.png"/>
  </imageobject>
</mediaobject>
<caption>Schematic diagram of the Hund and Rudy 2004 Canine Ventricular Cell Model.</caption>
</informalfigure>

<para>
The complete original paper reference is cited below:
</para>

<para>
<ulink url="http://circ.ahajournals.org/cgi/content/abstract/110/20/3168">Rate dependence and regulation of action potential and calcium transient in a canine cardiac ventricular cell model</ulink>, Thomas J. Hund and Yoram Rudy, 2004, <ulink url="http://circ.ahajournals.org/">
            <emphasis>Circulation</emphasis>, 
          </ulink> 110, 3168-3174.  (<ulink url="http://circ.ahajournals.org/cgi/content/full/110/20/3168">Full text</ulink> and <ulink url="http://circ.ahajournals.org/cgi/reprint/110/20/3168">PDF</ulink> versions of the article are available to journal subscribers on the  <emphasis>Circulation</emphasis> website.)  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&amp;cmd=Retrieve&amp;dopt=AbstractPlus&amp;list_uids=15505083&amp;query_hl=1&amp;itool=pubmed_docsum">PubMed ID: 15505083</ulink>
</para>

</sect1>
</article>
</documentation> 
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                                 <cn cellml:units="mV">32</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <geq/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="mV">40</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_ms">0.1212</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="per_mV">0.01052</cn>
                              </apply>
                              <ci>V</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="per_mV">0.1378</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">40.14</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>am</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">0.32</cn>
                  <cn cellml:units="per_mV">1</cn>
                  <apply>
                     <plus/>
                     <ci>V</ci>
                     <cn cellml:units="mV">47.13</cn>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="per_mV">0.1</cn>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">47.13</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>bm</ci>
            <apply>
               <times/>
               <cn cellml:units="per_ms">0.08</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="mV">11</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>H</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>ah</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>H</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>bh</ci>
                  <ci>H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>m</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>am</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>m</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>bm</ci>
                  <ci>m</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>J</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>aj</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>J</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>bj</ci>
                  <ci>J</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="ICaL">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="C_per_mole" public_interface="in" name="F"/>
      <variable units="per_mV" public_interface="in" name="FonRT"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="tissue"/>
      <variable units="mM" public_interface="in" name="Ca_o"/>
      <variable units="mM" public_interface="in" name="Ca_ss"/>
      <variable units="dimensionless" name="d" initial_value="0.00000164013"/>
      <variable units="dimensionless" name="dp" initial_value="8.98230672628"/>
      <variable units="dimensionless" name="f" initial_value="0.999961508634"/>
      <variable units="dimensionless" name="fca" initial_value="0.97836624923"/>
      <variable units="dimensionless" name="fca2" initial_value="0.893052931249"/>
      <variable units="dimensionless" name="f2" initial_value="0.992234519148"/>
      <variable units="L_per_F_ms" name="pca" initial_value="2.43e-4"/>
      <variable units="dimensionless" name="gacai" initial_value="1"/>
      <variable units="dimensionless" name="gacao" initial_value="0.341"/>
      <variable units="dimensionless" public_interface="in" name="CaMKactive"/>
      <variable units="uA_per_uF" public_interface="out" name="ibarca"/>
      <variable units="dimensionless" name="dss"/>
      <variable units="ms" name="taud"/>
      <variable units="dimensionless" name="fss"/>
      <variable units="dimensionless" name="f2ss"/>
      <variable units="ms" name="tauf"/>
      <variable units="ms" name="tauf2"/>
      <variable units="dimensionless" name="dpss"/>
      <variable units="dimensionless" name="fcass"/>
      <variable units="dimensionless" name="fca2ss"/>
      <variable units="ms" name="taufca"/>
      <variable units="ms" name="taufca2"/>
      <variable units="uA_per_uF" public_interface="out" name="ICaL"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>ibarca</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>pca</ci>
                  <cn cellml:units="dimensionless">4</cn>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                     <cn cellml:units="mV">15</cn>
                  </apply>
                  <ci>F</ci>
                  <ci>FonRT</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gacai</ci>
                        <ci>Ca_ss</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">15</cn>
                              </apply>
                              <ci>FonRT</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gacao</ci>
                        <ci>Ca_o</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">15</cn>
                        </apply>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ICaL</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <apply>
                        <power/>
                        <ci>d</ci>
                        <ci>dp</ci>
                     </apply>
                     <ci>f</ci>
                     <ci>f2</ci>
                     <ci>fca</ci>
                     <ci>fca2</ci>
                     <ci>ibarca</ci>
                  </apply>
                  <apply>
                     <eq/>
                     <ci>tissue</ci>
                     <cn cellml:units="dimensionless">0</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>d</ci>
                     <ci>f</ci>
                     <ci>f2</ci>
                     <ci>fca</ci>
                     <ci>fca2</ci>
                     <ci>ibarca</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>dss</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">4</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">6.74</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>taud</ci>
            <apply>
               <plus/>
               <cn cellml:units="ms">0.59</cn>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <cn cellml:units="ms">0.8</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="per_mV">0.052</cn>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">13</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="per_mV">0.132</cn>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">13</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>fss</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.7</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">17.12</cn>
                           </apply>
                           <cn cellml:units="mV">7</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="dimensionless">0.3</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>f2ss</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.77</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">17.12</cn>
                           </apply>
                           <cn cellml:units="mV">7</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="dimensionless">0.23</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tauf</ci>
            <apply>
               <divide/>
               <cn cellml:units="ms">1</cn>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.2411</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <minus/>
                           <apply>
                              <power/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="per_mV">0.045</cn>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="mV">9.6914</cn>
                                 </apply>
                              </apply>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">0.0529</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tauf2</ci>
            <apply>
               <divide/>
               <cn cellml:units="ms">1</cn>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.0423</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <minus/>
                           <apply>
                              <power/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="per_mV">0.059</cn>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="mV">18.5726</cn>
                                 </apply>
                              </apply>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">0.0054</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dpss</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">9</cn>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">8</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">65</cn>
                              </apply>
                           </apply>
                           <cn cellml:units="mV">3.4</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>fcass</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.3</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>ICaL</ci>
                        <cn cellml:units="uA_per_uF">0.05</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.55</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Ca_ss</ci>
                        <cn cellml:units="mM">0.003</cn>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="dimensionless">0.15</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>fca2ss</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>ICaL</ci>
                     <cn cellml:units="uA_per_uF">0.01</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>taufca</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <cn cellml:units="ms">10</cn>
                     <ci>CaMKactive</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">0.15</cn>
                     <ci>CaMKactive</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <cn cellml:units="ms">1</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Ca_ss</ci>
                        <cn cellml:units="mM">0.003</cn>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">0.5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>taufca2</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="ms">300</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <apply>
                                 <minus/>
                                 <ci>ICaL</ci>
                              </apply>
                              <cn cellml:units="uA_per_uF">0.175</cn>
                           </apply>
                           <cn cellml:units="uA_per_uF">0.04</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">125</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>dss</ci>
                  <ci>d</ci>
               </apply>
               <ci>taud</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>dp</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>dpss</ci>
                  <ci>dp</ci>
               </apply>
               <cn cellml:units="ms">10</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>fss</ci>
                  <ci>f</ci>
               </apply>
               <ci>tauf</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f2</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>f2ss</ci>
                  <ci>f2</ci>
               </apply>
               <ci>tauf2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>fca</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>fcass</ci>
                  <ci>fca</ci>
               </apply>
               <ci>taufca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>fca2</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>fca2ss</ci>
                  <ci>fca2</ci>
               </apply>
               <ci>taufca2</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="per_ms" name="ak1"/>
      <variable units="per_ms" name="bk1"/>
      <variable units="uA_per_uF" public_interface="out" name="IK1" cmeta:id="time_dependent_potassium_current_i_K1"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>ak1</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>bk1</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>IK1</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <cn cellml:units="mS_per_uF">0.5</cn>
                     <apply>
                        <root/>
                        <apply>
                           <divide/>
                           <ci>K_o</ci>
                           <cn cellml:units="mM">5.4</cn>
                        </apply>
                     </apply>
                     <ci>ak1</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>ak1</ci>
                     <ci>bk1</ci>
                  </apply>
               </apply>
               <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="mS_per_uF" name="gkr"/>
      <variable units="mV" public_interface="in" name="EK"/>
      <variable units="mM" public_interface="in" name="K_o"/>
      <variable units="dimensionless" name="r"/>
      <variable units="dimensionless" name="xr" initial_value="0.00000724074"/>
      <variable units="dimensionless" name="xrss"/>
      <variable units="ms" name="tauxr"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="uA_per_uF" public_interface="out" name="IKr"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>gkr</ci>
            <apply>
               <times/>
               <cn cellml:units="mS_per_uF">0.0138542</cn>
               <apply>
                  <root/>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <cn cellml:units="mM">5.4</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>r</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">10</cn>
                        </apply>
                        <cn cellml:units="mV">15.4</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>IKr</ci>
            <apply>
               <times/>
               <ci>gkr</ci>
               <ci>xr</ci>
               <ci>r</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>EK</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xrss</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">10.085</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">4.25</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tauxr</ci>
            <apply>
               <divide/>
               <cn cellml:units="ms">1</cn>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_mV">6e-4</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">1.7384</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="per_mV">0.136</cn>
                              </apply>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">1.7384</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_mV">3e-4</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">38.3608</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="per_mV">0.1522</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">38.3608</cn>
                              </apply>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xr</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xrss</ci>
                  <ci>xr</ci>
               </apply>
               <ci>tauxr</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IKs">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mM" public_interface="in" name="Ca_i"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mS_per_uF" name="gks"/>
      <variable units="mV" public_interface="in" name="EKs"/>
      <variable units="dimensionless" name="xss"/>
      <variable units="ms" name="tauxs"/>
      <variable units="dimensionless" name="xs1" initial_value="0.019883138161"/>
      <variable units="dimensionless" name="xs2" initial_value="0.019890650554"/>
      <variable units="uA_per_uF" public_interface="out" name="IKs"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>gks</ci>
            <apply>
               <times/>
               <cn cellml:units="mS_per_uF">0.0248975</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">0.6</cn>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <cn cellml:units="mM">3.8e-5</cn>
                              <ci>Ca_i</ci>
                           </apply>
                           <cn cellml:units="dimensionless">1.4</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>xss</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">10.5</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">24.7</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tauxs</ci>
            <apply>
               <divide/>
               <cn cellml:units="ms">1</cn>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_mV">7.61e-5</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">44.6</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="per_mV">9.97</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">44.6</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_mV">3.6e-4</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">0.55</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="per_mV">0.128</cn>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">0.55</cn>
                              </apply>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>IKs</ci>
            <apply>
               <times/>
               <ci>gks</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>xss</ci>
                  <ci>xs1</ci>
               </apply>
               <ci>tauxs</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xs2</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <ci>xss</ci>
                     <ci>xs2</ci>
                  </apply>
                  <ci>tauxs</ci>
               </apply>
               <cn cellml:units="dimensionless">2</cn>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ito">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mS_per_uF" name="gitodv" initial_value="0.19"/>
      <variable units="mV" public_interface="in" name="EK"/>
      <variable units="dimensionless" name="rv"/>
      <variable units="per_ms" name="ay"/>
      <variable units="per_ms" name="by"/>
      <variable units="per_ms" name="ay2"/>
      <variable units="per_ms" name="by2"/>
      <variable units="per_ms" name="ay3"/>
      <variable units="per_ms" name="by3"/>
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="dimensionless" name="ydv" initial_value="0.013970786703"/>
      <variable units="dimensionless" name="ydv2" initial_value="0.99996472752"/>
      <variable units="dimensionless" name="zdv" initial_value="0.829206149767"/>
      <variable units="uA_per_uF" public_interface="out" name="Ito"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>rv</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <ci>V</ci>
                  <cn cellml:units="mV">300</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ay</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">25</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">40</cn>
                        </apply>
                        <cn cellml:units="mV">25</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">40</cn>
                        </apply>
                        <cn cellml:units="mV">25</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>by</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">25</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">90</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">25</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">90</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">25</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ay2</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">0.03</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">60</cn>
                        </apply>
                        <cn cellml:units="mV">5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>by2</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">0.2</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">25</cn>
                        </apply>
                        <cn cellml:units="mV">5</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">25</cn>
                        </apply>
                        <cn cellml:units="mV">5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ay3</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">0.00225</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">60</cn>
                        </apply>
                        <cn cellml:units="mV">5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>by3</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">0.1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">25</cn>
                        </apply>
                        <cn cellml:units="mV">5</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">25</cn>
                        </apply>
                        <cn cellml:units="mV">5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Ito</ci>
            <apply>
               <times/>
               <ci>gitodv</ci>
               <apply>
                  <power/>
                  <ci>ydv</ci>
                  <cn cellml:units="dimensionless">3</cn>
               </apply>
               <ci>ydv2</ci>
               <ci>zdv</ci>
               <ci>rv</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>EK</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ydv</ci>
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            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>ay</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>ydv</ci>
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               </apply>
               <apply>
                  <times/>
                  <ci>by</ci>
                  <ci>ydv</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ydv2</ci>
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            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>ay2</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>ydv2</ci>
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               </apply>
               <apply>
                  <times/>
                  <ci>by2</ci>
                  <ci>ydv2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>zdv</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>ay3</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>zdv</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>by3</ci>
                  <ci>zdv</ci>
               </apply>
            </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="mM" name="kmnai" initial_value="10"/>
      <variable units="mM" name="kmko" initial_value="1.5"/>
      <variable units="uA_per_uF" name="ibarnak" initial_value="0.61875"/>
      <variable units="dimensionless" name="sigma"/>
      <variable units="dimensionless" name="fnak"/>
      <variable units="uA_per_uF" public_interface="out" name="INaK"/>
      <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>INaK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>ibarnak</ci>
                        <ci>fnak</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>kmnai</ci>
                              <ci>Na_i</ci>
                           </apply>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>K_o</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_o</ci>
                  <ci>kmko</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="mM" public_interface="in" name="Ca_i"/>
      <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" name="ca_i_NaCa"/>
      <variable units="mM" name="KmCa" initial_value="1.25e-4"/>
      <variable units="dimensionless" name="allo"/>
      <variable units="uA_per_uF" name="NCXmax" initial_value="4.5"/>
      <variable units="dimensionless" name="ksat" initial_value="0.27"/>
      <variable units="dimensionless" name="eta" initial_value="0.35"/>
      <variable units="mM" name="KmNai" initial_value="12.3"/>
      <variable units="mM" name="KmNao" initial_value="87.5"/>
      <variable units="mM" name="KmCai" initial_value="0.0036"/>
      <variable units="mM" name="KmCao" initial_value="1.3"/>
      <variable units="mM4" name="num"/>
      <variable units="dimensionless" name="denom1"/>
      <variable units="mM4" name="denom2"/>
      <variable units="mM4" name="denom3"/>
      <variable units="uA_per_uF" public_interface="out" name="INaCa"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>ca_i_NaCa</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">1.5</cn>
               <ci>Ca_i</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>allo</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>KmCa</ci>
                        <ci>ca_i_NaCa</ci>
                     </apply>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>num</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>eta</ci>
                        <ci>V</ci>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_o</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>ca_i_NaCa</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>eta</ci>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>V</ci>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>denom1</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <times/>
                  <ci>ksat</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>eta</ci>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>V</ci>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>denom2</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>KmCao</ci>
                  <apply>
                     <power/>
                     <ci>Na_i</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>KmNao</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>ca_i_NaCa</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>KmNai</ci>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
                  <ci>Ca_o</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>ca_i_NaCa</ci>
                        <ci>KmCai</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>denom3</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>KmCai</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>KmNai</ci>
                        </apply>
                        <cn cellml:units="dimensionless">3</cn>
                     </apply>
                  </apply>
               </apply>
               <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>ca_i_NaCa</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>INaCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>NCXmax</ci>
                  <ci>allo</ci>
                  <ci>num</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>denom1</ci>
                  <apply>
                     <plus/>
                     <ci>denom2</ci>
                     <ci>denom3</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IKp">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mV" public_interface="in" name="EK"/>
      <variable units="uA_per_uF" public_interface="out" name="IKp"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>IKp</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="mS_per_uF">0.00276</cn>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                     <ci>EK</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <cn cellml:units="mV">7.488</cn>
                           <ci>V</ci>
                        </apply>
                        <cn cellml:units="mV">5.98</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IpCa">
      <variable units="mM" public_interface="in" name="Ca_i"/>
      <variable units="uA_per_uF" name="ibarpca" initial_value="0.0575"/>
      <variable units="mM" name="kmpca" initial_value="0.5e-3"/>
      <variable units="uA_per_uF" public_interface="out" name="IpCa"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>IpCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>ibarpca</ci>
                  <ci>Ca_i</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>kmpca</ci>
                  <ci>Ca_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="ICab">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="C_per_mole" public_interface="in" name="F"/>
      <variable units="per_mV" public_interface="in" name="FonRT"/>
      <variable units="mM" public_interface="in" name="Ca_i"/>
      <variable units="mM" public_interface="in" name="Ca_o"/>
      <variable units="uA_per_uF" public_interface="out" name="ICab"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>ICab</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="L_per_F_ms">1.995084e-7</cn>
                  <cn cellml:units="dimensionless">4</cn>
                  <ci>V</ci>
                  <ci>F</ci>
                  <ci>FonRT</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>Ca_i</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>V</ci>
                              <ci>FonRT</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.341</cn>
                        <ci>Ca_o</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>V</ci>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ito2">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="C_per_mole" public_interface="in" name="F"/>
      <variable units="per_mV" public_interface="in" name="FonRT"/>
      <variable units="mM" public_interface="in" name="Cl_i"/>
      <variable units="mM" public_interface="in" name="Cl_o"/>
      <variable units="mM" public_interface="in" name="Ca_ss"/>
      <variable units="L_per_F_ms" name="PCl" initial_value="4e-7"/>
      <variable units="dimensionless" name="AA" initial_value="0.000816605172"/>
      <variable units="uA_per_uF" name="Ito2_max"/>
      <variable units="dimensionless" name="AAss"/>
      <variable units="mM" name="Kmto2" initial_value="0.1502"/>
      <variable units="uA_per_uF" public_interface="out" name="Ito2"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Ito2_max</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>PCl</ci>
                  <ci>V</ci>
                  <ci>F</ci>
                  <ci>FonRT</ci>
                  <apply>
                     <minus/>
                     <ci>Cl_i</ci>
                     <apply>
                        <times/>
                        <ci>Cl_o</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <ci>V</ci>
                              <ci>FonRT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <ci>V</ci>
                        <ci>FonRT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>AAss</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>Kmto2</ci>
                     <ci>Ca_ss</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Ito2</ci>
            <apply>
               <times/>
               <ci>Ito2_max</ci>
               <ci>AA</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>AA</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>AAss</ci>
                  <ci>AA</ci>
               </apply>
               <cn cellml:units="ms">1</cn>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IClb">
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mV" public_interface="in" name="ECl"/>
      <variable units="mS_per_uF" name="GClb" initial_value="2.25e-4"/>
      <variable units="uA_per_uF" public_interface="out" name="IClb"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>IClb</ci>
            <apply>
               <times/>
               <ci>GClb</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>ECl</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="INal">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mV" public_interface="in" name="V"/>
      <variable units="mV" public_interface="in" name="ENa"/>
      <variable units="mS_per_uF" name="GNaL" initial_value="65e-4"/>
      <variable units="dimensionless" name="mL" initial_value="0.001356538159"/>
      <variable units="dimensionless" name="hL" initial_value="0.26130711759"/>
      <variable units="per_ms" name="amL"/>
      <variable units="per_ms" name="bmL"/>
      <variable units="dimensionless" name="hLss"/>
      <variable units="uA_per_uF" public_interface="out" name="INal"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>INal</ci>
            <apply>
               <times/>
               <ci>GNaL</ci>
               <apply>
                  <power/>
                  <ci>mL</ci>
                  <cn cellml:units="dimensionless">3</cn>
               </apply>
               <ci>hL</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>ENa</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>amL</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">0.32</cn>
                  <cn cellml:units="per_mV">1</cn>
                  <apply>
                     <plus/>
                     <ci>V</ci>
                     <cn cellml:units="mV">47.13</cn>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="per_mV">0.1</cn>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">47.13</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>bmL</ci>
            <apply>
               <times/>
               <cn cellml:units="per_ms">0.08</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="mV">11</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>hLss</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">91</cn>
                        </apply>
                        <cn cellml:units="mV">6.1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>mL</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>amL</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>mL</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>bmL</ci>
                  <ci>mL</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>hL</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>hLss</ci>
                  <ci>hL</ci>
               </apply>
               <cn cellml:units="ms">600</cn>
            </apply>
         </apply>
      </math>
   </component>
   <component name="reversal_potentials">
      <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="mM" public_interface="in" name="K_i"/>
      <variable units="mM" public_interface="in" name="Cl_o"/>
      <variable units="mM" public_interface="in" name="Cl_i"/>
      <variable units="per_mV" public_interface="in" name="FonRT"/>
      <variable units="dimensionless" name="prnak" initial_value="0.01833"/>
      <variable units="mV" public_interface="out" name="ENa"/>
      <variable units="mV" public_interface="out" name="EK"/>
      <variable units="mV" public_interface="out" name="EKs"/>
      <variable units="mV" public_interface="out" name="ECl"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>ENa</ci>
            <apply>
               <divide/>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Na_o</ci>
                     <ci>Na_i</ci>
                  </apply>
               </apply>
               <ci>FonRT</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>EK</ci>
            <apply>
               <divide/>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <ci>K_i</ci>
                  </apply>
               </apply>
               <ci>FonRT</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>EKs</ci>
            <apply>
               <divide/>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>K_o</ci>
                        <apply>
                           <times/>
                           <ci>prnak</ci>
                           <ci>Na_o</ci>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>K_i</ci>
                        <apply>
                           <times/>
                           <ci>prnak</ci>
                           <ci>Na_i</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <ci>FonRT</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ECl</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <ln/>
                     <apply>
                        <divide/>
                        <ci>Cl_o</ci>
                        <ci>Cl_i</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>FonRT</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Irel">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="tissue"/>
      <variable units="mM" public_interface="in" name="Ca_ss"/>
      <variable units="mM" public_interface="in" name="Ca_jsr"/>
      <variable units="uA_per_uF" public_interface="in" name="ibarca"/>
      <variable units="uA_per_uF" public_interface="in" name="ICaL"/>
      <variable units="per_ms" name="Grel"/>
      <variable units="dimensionless" name="dro_inf"/>
      <variable units="ms" name="dtau_rel_max" initial_value="10"/>
      <variable units="ms" name="dtau_rel"/>
      <variable units="dimensionless" name="ross"/>
      <variable units="dimensionless" name="riss"/>
      <variable units="ms" name="tauri"/>
      <variable units="mM_per_ms" public_interface="out" name="irelcicr"/>
      <variable units="dimensionless" name="CaMK0" initial_value="0.05"/>
      <variable units="mM" name="Km" initial_value="0.0015"/>
      <variable units="dimensionless" public_interface="out" name="KmCaMK" initial_value="0.15"/>
      <variable units="dimensionless" name="CaMKbound"/>
      <variable units="dimensionless" public_interface="out" name="CaMKactive"/>
      <variable units="dimensionless" name="CaMKtrap" initial_value="0.021123704774"/>
      <variable units="dimensionless" name="ro" initial_value="0"/>
      <variable units="dimensionless" name="ri" initial_value="0.862666650318"/>
      <variable units="dimensionless" name="vg"/>
      <variable units="dimensionless" name="cafac"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>CaMKbound</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>CaMK0</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>CaMKtrap</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>Km</ci>
                     <ci>Ca_ss</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CaMKactive</ci>
            <apply>
               <plus/>
               <ci>CaMKbound</ci>
               <ci>CaMKtrap</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Grel</ci>
            <apply>
               <times/>
               <cn cellml:units="per_ms">3000</cn>
               <ci>vg</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>vg</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <plus/>
                                 <ci>ibarca</ci>
                                 <cn cellml:units="uA_per_uF">13</cn>
                              </apply>
                              <cn cellml:units="uA_per_uF">5</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <eq/>
                     <ci>tissue</ci>
                     <cn cellml:units="dimensionless">0</cn>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="dimensionless">1</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>cafac</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>ICaL</ci>
                           <cn cellml:units="uA_per_uF">0.05</cn>
                        </apply>
                        <cn cellml:units="uA_per_uF">0.015</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dro_inf</ci>
            <apply>
               <divide/>
               <apply>
                  <power/>
                  <ci>Ca_jsr</ci>
                  <cn cellml:units="dimensionless">1.9</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <power/>
                     <ci>Ca_jsr</ci>
                     <cn cellml:units="dimensionless">1.9</cn>
                  </apply>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="mM">49.28</cn>
                           <ci>Ca_ss</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>Ca_ss</ci>
                           <cn cellml:units="mM">0.0028</cn>
                        </apply>
                     </apply>
                     <cn cellml:units="dimensionless">1.9</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dtau_rel</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>dtau_rel_max</ci>
                  <ci>CaMKactive</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>KmCaMK</ci>
                  <ci>CaMKactive</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ross</ci>
            <apply>
               <divide/>
               <ci>dro_inf</ci>
               <apply>
                  <plus/>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <cn cellml:units="uA_per_uF">1</cn>
                        <ci>ICaL</ci>
                     </apply>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>riss</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>Ca_ss</ci>
                              <cn cellml:units="mM">4e-4</cn>
                           </apply>
                           <apply>
                              <times/>
                              <cn cellml:units="mM">0.002</cn>
                              <ci>cafac</ci>
                           </apply>
                        </apply>
                        <cn cellml:units="mM">2.5e-5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tauri</ci>
            <apply>
               <plus/>
               <cn cellml:units="ms">3</cn>
               <ci>dtau_rel</ci>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <cn cellml:units="ms">350</cn>
                     <ci>dtau_rel</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <apply>
                                 <minus/>
                                 <ci>Ca_ss</ci>
                                 <cn cellml:units="mM">0.003</cn>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn cellml:units="mM">0.003</cn>
                                 <ci>cafac</ci>
                              </apply>
                           </apply>
                           <cn cellml:units="mM">2e-4</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>irelcicr</ci>
            <apply>
               <times/>
               <ci>Grel</ci>
               <ci>ro</ci>
               <ci>ri</ci>
               <apply>
                  <minus/>
                  <ci>Ca_jsr</ci>
                  <ci>Ca_ss</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ro</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>ross</ci>
                  <ci>ro</ci>
               </apply>
               <cn cellml:units="ms">3</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ri</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>riss</ci>
                  <ci>ri</ci>
               </apply>
               <ci>tauri</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>CaMKtrap</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">0.05</cn>
                  <ci>CaMKactive</ci>
                  <apply>
                     <minus/>
                     <ci>CaMKactive</ci>
                     <ci>CaMKtrap</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="per_ms">6.8e-4</cn>
                  <ci>CaMKtrap</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Iup_Ileak">
      <variable units="mM" name="dKmPLBmax" initial_value="0.00017"/>
      <variable units="dimensionless" name="dJupmax" initial_value="0.75"/>
      <variable units="mM" name="dKmPLB"/>
      <variable units="dimensionless" name="dJup"/>
      <variable units="mM_per_ms" name="iupmax" initial_value="0.004375"/>
      <variable units="mM" name="Kmup" initial_value="0.00092"/>
      <variable units="mM" name="nsrmax" initial_value="15"/>
      <variable units="mM_per_ms" public_interface="out" name="iup"/>
      <variable units="mM_per_ms" public_interface="out" name="ileak"/>
      <variable units="dimensionless" public_interface="in" name="KmCaMK"/>
      <variable units="dimensionless" public_interface="in" name="CaMKactive"/>
      <variable units="mM" public_interface="in" name="Ca_i"/>
      <variable units="mM" public_interface="in" name="Ca_nsr"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dKmPLB</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>dKmPLBmax</ci>
                  <ci>CaMKactive</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>KmCaMK</ci>
                  <ci>CaMKactive</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dJup</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>dJupmax</ci>
                  <ci>CaMKactive</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>KmCaMK</ci>
                  <ci>CaMKactive</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>iup</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>dJup</ci>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <ci>iupmax</ci>
                  <ci>Ca_i</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>Ca_i</ci>
                     <ci>Kmup</ci>
                  </apply>
                  <ci>dKmPLB</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ileak</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>iupmax</ci>
                  <ci>Ca_nsr</ci>
               </apply>
               <ci>nsrmax</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Idiff_Itr">
      <variable units="mM_per_ms" public_interface="out" name="idiff"/>
      <variable units="mM_per_ms" public_interface="out" name="itr"/>
      <variable units="mM" public_interface="in" name="Ca_ss"/>
      <variable units="mM" public_interface="in" name="Ca_i"/>
      <variable units="mM" public_interface="in" name="Ca_nsr"/>
      <variable units="mM" public_interface="in" name="Ca_jsr"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>idiff</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_ss</ci>
                  <ci>Ca_i</ci>
               </apply>
               <cn cellml:units="ms">0.2</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>itr</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_nsr</ci>
                  <ci>Ca_jsr</ci>
               </apply>
               <cn cellml:units="ms">120</cn>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Na">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mM" public_interface="out" name="Na_i" initial_value="12.972433387269"/>
      <variable units="uA_per_uF" public_interface="in" name="naiont"/>
      <variable units="uF_mole_per_C" public_interface="in" name="AF"/>
      <variable units="uL" public_interface="in" name="vmyo"/>
      <variable units="mM_per_ms" public_interface="out" name="CTNaCl"/>
      <variable units="mM_per_ms" name="CTNaClmax" initial_value="9.8443e-6"/>
      <variable units="mV" public_interface="in" name="ENa"/>
      <variable units="mV" public_interface="in" name="ECl"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>CTNaCl</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>CTNaClmax</ci>
                  <apply>
                     <power/>
                     <apply>
                        <minus/>
                        <ci>ENa</ci>
                        <ci>ECl</ci>
                     </apply>
                     <cn cellml:units="dimensionless">4</cn>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <power/>
                     <apply>
                        <minus/>
                        <ci>ENa</ci>
                        <ci>ECl</ci>
                     </apply>
                     <cn cellml:units="dimensionless">4</cn>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="mV">87.8251</cn>
                     <cn cellml:units="dimensionless">4</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Na_i</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <ci>naiont</ci>
                     </apply>
                     <ci>AF</ci>
                  </apply>
                  <ci>vmyo</ci>
               </apply>
               <ci>CTNaCl</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="K">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mM" public_interface="out" name="K_i" initial_value="135.469546216758"/>
      <variable units="uA_per_uF" public_interface="in" name="kiont"/>
      <variable units="uF_mole_per_C" public_interface="in" name="AF"/>
      <variable units="uL" public_interface="in" name="vmyo"/>
      <variable units="mM_per_ms" public_interface="out" name="CTKCl"/>
      <variable units="mM_per_ms" name="CTKClmax" initial_value="7.0756e-6"/>
      <variable units="mV" public_interface="in" name="EK"/>
      <variable units="mV" public_interface="in" name="ECl"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>CTKCl</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>CTKClmax</ci>
                  <apply>
                     <minus/>
                     <ci>EK</ci>
                     <ci>ECl</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>EK</ci>
                     <ci>ECl</ci>
                  </apply>
                  <cn cellml:units="mV">87.8251</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_i</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <ci>kiont</ci>
                     </apply>
                     <ci>AF</ci>
                  </apply>
                  <ci>vmyo</ci>
               </apply>
               <ci>CTKCl</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Cl">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mM" public_interface="out" name="Cl_i" initial_value="15.59207157178"/>
      <variable units="uA_per_uF" public_interface="in" name="clont"/>
      <variable units="uF_mole_per_C" public_interface="in" name="AF"/>
      <variable units="uL" public_interface="in" name="vmyo"/>
      <variable units="mM_per_ms" public_interface="in" name="CTNaCl"/>
      <variable units="mM_per_ms" public_interface="in" name="CTKCl"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cl_i</ci>
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            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>clont</ci>
                     <ci>AF</ci>
                  </apply>
                  <ci>vmyo</ci>
               </apply>
               <ci>CTNaCl</ci>
               <ci>CTKCl</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca">
      <variable units="ms" public_interface="in" name="time"/>
      <variable units="mM" public_interface="out" name="Ca_i" initial_value="0.00012131666" cmeta:id="Ca_Ca_i"/>
      <variable units="mM" public_interface="out" name="Ca_jsr" initial_value="1.737580994071"/>
      <variable units="mM" public_interface="out" name="Ca_nsr" initial_value="1.832822335168"/>
      <variable units="mM" public_interface="out" name="Ca_ss" initial_value="0.00012271265"/>
      <variable units="mM" name="kmt" initial_value="0.5e-3"/>
      <variable units="mM" name="kmc" initial_value="2.38e-3"/>
      <variable units="mM" name="tbar" initial_value="70e-3"/>
      <variable units="mM" name="cbar" initial_value="50e-3"/>
      <variable units="mM" name="kmcsqn" initial_value="0.8"/>
      <variable units="mM" name="csqnbar" initial_value="10"/>
      <variable units="dimensionless" name="bcsqn"/>
      <variable units="dimensionless" name="bmyo"/>
      <variable units="mM" name="BSRmax" initial_value="0.047"/>
      <variable units="mM" name="KmBSR" initial_value="0.00087"/>
      <variable units="mM" name="BSLmax" initial_value="1.124"/>
      <variable units="mM" name="KmBSL" initial_value="0.0087"/>
      <variable units="dimensionless" name="bss"/>
      <variable units="uA_per_uF" public_interface="in" name="ICab"/>
      <variable units="uA_per_uF" public_interface="in" name="ICaL"/>
      <variable units="uA_per_uF" public_interface="in" name="IpCa"/>
      <variable units="uA_per_uF" public_interface="in" name="INaCa"/>
      <variable units="uL" public_interface="in" name="vmyo"/>
      <variable units="uL" public_interface="in" name="vsr"/>
      <variable units="uL" public_interface="in" name="vnsr"/>
      <variable units="uL" public_interface="in" name="vjsr"/>
      <variable units="uL" public_interface="in" name="vss"/>
      <variable units="uF_mole_per_C" public_interface="in" name="AF"/>
      <variable units="mM_per_ms" public_interface="in" name="iup"/>
      <variable units="mM_per_ms" public_interface="in" name="ileak"/>
      <variable units="mM_per_ms" public_interface="in" name="irelcicr"/>
      <variable units="mM_per_ms" public_interface="in" name="idiff"/>
      <variable units="mM_per_ms" public_interface="in" name="itr"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
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                  <plus/>
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                        <times/>
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                           <minus/>
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                              <minus/>
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                                 <plus/>
                                 <ci>ICab</ci>
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                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">2</cn>
                                 <ci>INaCa</ci>
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                           </apply>
                        </apply>
                        <ci>AF</ci>
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                        <times/>
                        <ci>vmyo</ci>
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                  </apply>
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                        <times/>
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                           <minus/>
                           <ci>ileak</ci>
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                        <times/>
                        <ci>idiff</ci>
                        <ci>vss</ci>
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                     <ci>vmyo</ci>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>Ca_ss</ci>
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            <apply>
               <times/>
               <ci>bss</ci>
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                  <minus/>
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                     <plus/>
                     <apply>
                        <divide/>
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                           <times/>
                           <apply>
                              <minus/>
                              <ci>ICaL</ci>
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                           <ci>AF</ci>
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                        <apply>
                           <times/>
                           <ci>vss</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
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                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>irelcicr</ci>
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                        </apply>
                        <ci>vss</ci>
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                  </apply>
                  <ci>idiff</ci>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>Ca_nsr</ci>
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            <apply>
               <minus/>
               <apply>
                  <minus/>
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                     <divide/>
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                        <times/>
                        <ci>itr</ci>
                        <ci>vjsr</ci>
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                  </apply>
               </apply>
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               <bvar>
                  <ci>time</ci>
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               <ci>Ca_jsr</ci>
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            <apply>
               <times/>
               <ci>bcsqn</ci>
               <apply>
                  <minus/>
                  <ci>itr</ci>
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         <apply>
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            <ci>bcsqn</ci>
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               <apply>
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                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>kmcsqn</ci>
                        <ci>csqnbar</ci>
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                     <apply>
                        <power/>
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                           <plus/>
                           <ci>Ca_jsr</ci>
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            <ci>bmyo</ci>
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                        <times/>
                        <ci>cbar</ci>
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                     <apply>
                        <power/>
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                           <ci>Ca_i</ci>
                           <ci>kmc</ci>
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                        <cn cellml:units="dimensionless">2</cn>
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                  <apply>
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                        <times/>
                        <ci>kmt</ci>
                        <ci>tbar</ci>
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                     <apply>
                        <power/>
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                           <plus/>
                           <ci>Ca_i</ci>
                           <ci>kmt</ci>
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                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
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         <apply>
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            <ci>bss</ci>
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                        <times/>
                        <ci>BSRmax</ci>
                        <ci>KmBSR</ci>
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                        <power/>
                        <apply>
                           <plus/>
                           <ci>KmBSR</ci>
                           <ci>Ca_ss</ci>
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                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
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                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>BSLmax</ci>
                        <ci>KmBSL</ci>
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                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>KmBSL</ci>
                           <ci>Ca_ss</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_currents"/>
   <component name="transmembrane_currents"/>
   <component name="Ions_n_reversal_potentials"/>
   <group>
      <relationship_ref relationship="containment"/>
      <component_ref component="cell">
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