Rendering of the source text

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<!--
This CellML file was generated on 15/01/2008 at 11:28:40 using:

COR (0.9.31.857)
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>
  <title>Canine Ventricular Cell Model, 1999</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
            This model has been curated and unit-checked by Penny Noble and is known to run in PCEnv and COR to replicate the published results.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
In 1999 Raimond Winslow, Jeremy Rice, Saleet Jafri, Eduardo Marban and Brian O'Rourke published a computational model of the action potential and of intracellular Ca<superscript>2+</superscript> handling in normal and failing canine ventricular myocytes.  Using the experimental data of O'Rourke <emphasis>et al</emphasis> (1999) they modified Jafri <emphasis>et al's</emphasis> guinea pig ventricular cell model (1999) to make it appropriate for canine midmyocardial cells (see the figure below).  The CellML description here is of the normal canine ventricular myocyte model.  In failing myocytes i_to1 and i_K1 are down regulated on average by 66 percent and 32 percent respectively.  The kinetic properties of i_to1 and the gating behaviour if i_K1 remain unaltered.  Only the number of expressed channels is reduced (the control may be pre- or post-transcriptional but it is not post-translational).  On the basis of these data, the effects of terminal heart failure are modelled by reducing the peak conductance of i_to1 and i_K1.  Downregulation of the sarcoplasmic reticulum Ca<superscript>2+</superscript> pump is modelled by simultaneous scaling of both the forward and reverse maximum pump rates V<subscript>maxf</subscript> and V<subscript>maxr</subscript> by a scale factor K<subscript>SR</subscript>.  Upregulation of the Na-Ca exchanger is modelled by increasing a scale factor K<subscript>NaCa</subscript>. 
</para>

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

<para>
Mechanisms of Altered Excitation-Contraction Coupling in Canine Tachycardia-Induced Heart Failure, II Model Studies, Raimond L. Winslow, Jeremy Rice, Saleet Jafri, Eduardo Marban and Brian O'Rourke, 1999, <emphasis>Circulation Research</emphasis>, 84, 571-586.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=10082479&amp;dopt=Abstract">PubMed ID: 10082479</ulink>
</para>

<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>cell diagram of the Winslow et al ventricular cell model showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
    </objectinfo>
    <imagedata fileref="winslow_1999.png"/>
  </imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Winslow <emphasis>et al</emphasis> canine ventricular cell model.</caption>
</informalfigure>

</sect1>
</article>
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                                          <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.04391</cn>
                                       </apply>
                                       <ci>V</ci>
                                    </apply>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">37.78</cn>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.311</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">79.23</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <lt/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">0</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_j</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">121.2</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.01052</cn>
                              </apply>
                              <ci>V</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1378</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40.14</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <lt/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">300</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0000002535</cn>
                              </apply>
                              <ci>V</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">32</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>j</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_j</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>j</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_j</ci>
                  <ci>j</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="rapid_activating_delayed_rectifiyer_K_current">
      <variable cmeta:id="rapid_activating_delayed_rectifiyer_K_current_i_Kr" name="i_Kr" public_interface="out" units="microA_per_microF"/>
      <variable name="E_K" public_interface="out" units="millivolt"/>
      <variable initial_value="0.0034" name="g_Kr" units="milliS_per_microF"/>
      <variable name="f_Ko" units="dimensionless"/>
      <variable name="R_V" units="dimensionless"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="Ko" public_interface="in" units="millimolar"/>
      <variable name="Ki" public_interface="in" units="millimolar"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="X_kr" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_K</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <ci>F</ci>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Ko</ci>
                     <ci>Ki</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>f_Ko</ci>
            <apply>
               <root/>
               <apply>
                  <divide/>
                  <ci>Ko</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">4</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>R_V</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.4945</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0446</cn>
                           <ci>V</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Kr</ci>
            <apply>
               <times/>
               <ci>g_Kr</ci>
               <ci>f_Ko</ci>
               <ci>R_V</ci>
               <ci>X_kr</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate">
      <variable initial_value="0.51" name="X_kr" public_interface="out" units="dimensionless"/>
      <variable name="K12" units="dimensionless"/>
      <variable name="K21" units="dimensionless"/>
      <variable name="X_kr_inf" units="dimensionless"/>
      <variable name="tau_X_kr" units="second"/>
      <variable initial_value="1" name="tau_factor" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K12</ci>
            <apply>
               <exp/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">5.495</cn>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1691</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K21</ci>
            <apply>
               <exp/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">7.677</cn>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0128</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>X_kr_inf</ci>
            <apply>
               <divide/>
               <ci>K12</ci>
               <apply>
                  <plus/>
                  <ci>K12</ci>
                  <ci>K21</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_X_kr</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.001</cn>
                  <apply>
                     <plus/>
                     <ci>K12</ci>
                     <ci>K21</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>tau_factor</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.027</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>X_kr</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>X_kr_inf</ci>
                  <ci>X_kr</ci>
               </apply>
               <ci>tau_X_kr</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_activating_delayed_rectifiyer_K_current">
      <variable cmeta:id="slow_activating_delayed_rectifiyer_K_current_i_Ks" name="i_Ks" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.0027134" name="g_Ks" units="milliS_per_microF"/>
      <variable name="E_Ks" units="millivolt"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="Ko" public_interface="in" units="millimolar"/>
      <variable name="Ki" public_interface="in" units="millimolar"/>
      <variable name="Nao" public_interface="in" units="millimolar"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="X_ks" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Ks</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <ci>F</ci>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>Ko</ci>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01833</cn>
                           <ci>Nao</ci>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Ki</ci>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01833</cn>
                           <ci>Nai</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ks</ci>
            <apply>
               <times/>
               <ci>g_Ks</ci>
               <apply>
                  <power/>
                  <ci>X_ks</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ks</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_activating_delayed_rectifiyer_K_current_X_ks_gate">
      <variable initial_value="0.264" name="X_ks" public_interface="out" units="dimensionless"/>
      <variable name="tau_X_ks" units="second"/>
      <variable name="X_ks_infinity" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>X_ks_infinity</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">24.7</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.6</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_X_ks</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.001</cn>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0000719</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.148</cn>
                              </apply>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.000131</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0687</cn>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                              </apply>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>X_ks</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>X_ks_infinity</ci>
                  <ci>X_ks</ci>
               </apply>
               <ci>tau_X_ks</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_potassium_current">
      <variable cmeta:id="transient_outward_potassium_current_i_to1" name="i_to1" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.23815" name="g_to1" units="milliS_per_microF"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="X_to1" private_interface="in" units="dimensionless"/>
      <variable name="Y_to1" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_to1</ci>
            <apply>
               <times/>
               <ci>g_to1</ci>
               <ci>X_to1</ci>
               <ci>Y_to1</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_potassium_current_X_to1_gate">
      <variable initial_value="2.63" name="X_to1" public_interface="out" units="dimensionless"/>
      <variable name="alpha_X_to1" units="per_second"/>
      <variable name="beta_X_to1" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_X_to1</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">45.16</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.03577</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_X_to1</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">98.9</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.06237</cn>
                     </apply>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>X_to1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_X_to1</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>X_to1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_X_to1</ci>
                  <ci>X_to1</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_potassium_current_Y_to1_gate">
      <variable initial_value="0.99" name="Y_to1" public_interface="out" units="dimensionless"/>
      <variable name="alpha_Y_to1" units="per_second"/>
      <variable name="beta_Y_to1" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_Y_to1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">5.415</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">33.5</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.051335</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">33.5</cn>
                              </apply>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_Y_to1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">5.415</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">33.5</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.051335</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">33.5</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Y_to1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_Y_to1</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>Y_to1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_Y_to1</ci>
                  <ci>Y_to1</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_independent_potassium_current">
      <variable cmeta:id="time_independent_potassium_current_i_K1" name="i_K1" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="2.8" name="g_K1" units="milliS_per_microF"/>
      <variable initial_value="13" name="K_mK1" units="millimolar"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="R" private_interface="out" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
      <variable name="F" private_interface="out" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="E_K" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="Ko" public_interface="in" units="millimolar"/>
      <variable name="K1_infinity_V" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_K1</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>g_K1</ci>
                     <ci>K1_infinity_V</ci>
                     <ci>Ko</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>Ko</ci>
                     <ci>K_mK1</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_independent_potassium_current_K1_gate">
      <variable name="K1_infinity_V" public_interface="out" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K1_infinity_V</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <ci>E_K</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="plateau_potassium_current">
      <variable cmeta:id="plateau_potassium_current_i_Kp" name="i_Kp" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.002216" name="g_Kp" units="milliS_per_microF"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="Kp_V" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Kp</ci>
            <apply>
               <times/>
               <ci>g_Kp</ci>
               <ci>Kp_V</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="plateau_potassium_current_Kp_gate">
      <variable name="Kp_V" public_interface="out" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Kp_V</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">7.488</cn>
                           <ci>V</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5.98</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Na_Ca_exchanger">
      <variable cmeta:id="Na_Ca_exchanger_i_NaCa" name="i_NaCa" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="1.38" name="K_mCa" units="millimolar"/>
      <variable initial_value="87.5" name="K_mNa" units="millimolar"/>
      <variable initial_value="0.3" name="K_NaCa" units="microA_per_microF"/>
      <variable initial_value="0.2" name="K_sat" units="dimensionless"/>
      <variable initial_value="0.35" name="eta" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="Nao" public_interface="in" units="millimolar"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <variable name="Cao" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_NaCa</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>K_NaCa</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">5000</cn>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <ci>K_mNa</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Nao</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>K_mCa</ci>
                        <ci>Cao</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>K_sat</ci>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <apply>
                                       <minus/>
                                       <ci>eta</ci>
                                       <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                    </apply>
                                    <ci>V</ci>
                                    <ci>F</ci>
                                 </apply>
                                 <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>eta</ci>
                              <ci>V</ci>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <ci>Nai</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>Cao</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>eta</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                              </apply>
                              <ci>V</ci>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <ci>Nao</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>Cai</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_potassium_pump">
      <variable cmeta:id="sodium_potassium_pump_i_NaK" name="i_NaK" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.693" name="I_NaK" units="microA_per_microF"/>
      <variable name="f_NaK" units="dimensionless"/>
      <variable initial_value="10" name="K_mNai" units="millimolar"/>
      <variable initial_value="1.5" name="K_mKo" units="millimolar"/>
      <variable name="sigma" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="Nao" public_interface="in" units="millimolar"/>
      <variable name="Ko" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>f_NaK</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1245</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
                              </apply>
                              <ci>V</ci>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.0365</cn>
                     <ci>sigma</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                              </apply>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>sigma</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">7</cn>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>Nao</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">67.3</cn>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_NaK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>I_NaK</ci>
                        <ci>f_NaK</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>K_mNai</ci>
                              <ci>Nai</ci>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>Ko</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>Ko</ci>
                  <ci>K_mKo</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sarcolemmal_calcium_pump">
      <variable cmeta:id="sarcolemmal_calcium_pump_i_p_Ca" name="i_p_Ca" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.00005" name="K_mpCa" units="millimolar"/>
      <variable initial_value="0.05" name="I_pCa" units="microA_per_microF"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_p_Ca</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>I_pCa</ci>
                  <ci>Cai</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_mpCa</ci>
                  <ci>Cai</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="calcium_background_current">
      <variable cmeta:id="calcium_background_current_i_Ca_b" name="i_Ca_b" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.0003842" name="g_Cab" units="milliS_per_microF"/>
      <variable name="E_Ca" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <variable name="Cao" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Ca</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Cao</ci>
                     <ci>Cai</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_b</ci>
            <apply>
               <times/>
               <ci>g_Cab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_background_current">
      <variable cmeta:id="sodium_background_current_i_Na_b" name="i_Na_b" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.0031" name="g_Nab" units="milliS_per_microF"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="E_Na" public_interface="in" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Na_b</ci>
            <apply>
               <times/>
               <ci>g_Nab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_current">
      <variable name="i_Ca" public_interface="out" units="microA_per_microF"/>
      <variable cmeta:id="L_type_Ca_current_i_Ca_K" name="i_Ca_K" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="3.125e-4" name="P_Ca" units="cm_per_second"/>
      <variable initial_value="5.79e-7" name="P_K" units="cm_per_second"/>
      <variable name="p_prime_k" units="cm_per_second"/>
      <variable initial_value="-0.265" name="i_Ca_half" units="microA_per_microF"/>
      <variable name="i_Ca_max" units="microA_per_microF"/>
      <variable initial_value="9.84546e-21" name="O" units="dimensionless"/>
      <variable initial_value="0" name="O_Ca" units="dimensionless"/>
      <variable name="alpha" units="per_second"/>
      <variable name="beta" units="per_second"/>
      <variable name="gamma" units="per_second"/>
      <variable name="alpha_a" units="per_second"/>
      <variable name="beta_b" units="per_second"/>
      <variable initial_value="2" name="a" units="dimensionless"/>
      <variable initial_value="2" name="b" units="dimensionless"/>
      <variable initial_value="2000" name="g" units="per_second"/>
      <variable initial_value="300" name="f" units="per_second"/>
      <variable initial_value="7000" name="gprime" units="per_second"/>
      <variable initial_value="7" name="fprime" units="per_second"/>
      <variable initial_value="10" name="omega" units="per_second"/>
      <variable initial_value="0.997208" name="C0" units="dimensionless"/>
      <variable initial_value="6.38897e-5" name="C1" units="dimensionless"/>
      <variable initial_value="1.535e-9" name="C2" units="dimensionless"/>
      <variable initial_value="1.63909e-14" name="C3" units="dimensionless"/>
      <variable initial_value="6.56337e-20" name="C4" units="dimensionless"/>
      <variable initial_value="0.00272826" name="C_Ca0" units="dimensionless"/>
      <variable initial_value="6.99215e-7" name="C_Ca1" units="dimensionless"/>
      <variable initial_value="6.71989e-11" name="C_Ca2" units="dimensionless"/>
      <variable initial_value="2.87031e-15" name="C_Ca3" units="dimensionless"/>
      <variable initial_value="4.59752e-20" name="C_Ca4" units="dimensionless"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="C_sc" public_interface="in" units="microF_per_cm2"/>
      <variable name="Ca_ss" public_interface="in" units="millimolar"/>
      <variable name="Cao" public_interface="in" units="millimolar"/>
      <variable name="Ko" public_interface="in" units="millimolar"/>
      <variable name="Ki" public_interface="in" units="millimolar"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="y" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ca</ci>
            <apply>
               <times/>
               <ci>i_Ca_max</ci>
               <ci>y</ci>
               <apply>
                  <plus/>
                  <ci>O</ci>
                  <ci>O_Ca</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_K</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>p_prime_k</ci>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="s_ms">1</cn>
                           </apply>
                        </apply>
                        <ci>y</ci>
                        <apply>
                           <plus/>
                           <ci>O</ci>
                           <ci>O_Ca</ci>
                        </apply>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>Ki</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <ci>Ko</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>p_prime_k</ci>
            <apply>
               <divide/>
               <ci>P_K</ci>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>i_Ca_max</ci>
                     <ci>i_Ca_half</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_max</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>P_Ca</ci>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="s_ms">1</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1000</cn>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.001</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.341</cn>
                        <ci>Cao</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">400</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">2</cn>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">50</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">2</cn>
                        </apply>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_a</ci>
            <apply>
               <times/>
               <ci>alpha</ci>
               <ci>a</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_b</ci>
            <apply>
               <divide/>
               <ci>beta</ci>
               <ci>b</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>gamma</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">103.75</cn>
                  <ci>Ca_ss</ci>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C0</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>beta</ci>
                     <ci>C1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>omega</ci>
                     <ci>C_Ca0</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        <ci>alpha</ci>
                     </apply>
                     <ci>gamma</ci>
                  </apply>
                  <ci>C0</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>alpha</ci>
                     <ci>C0</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>beta</ci>
                     <ci>C2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <ci>b</ci>
                     </apply>
                     <ci>C_Ca1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>beta</ci>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        <ci>alpha</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <ci>a</ci>
                     </apply>
                  </apply>
                  <ci>C1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>alpha</ci>
                     <ci>C1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>beta</ci>
                     <ci>C3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <ci>C_Ca2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>alpha</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <apply>
                           <power/>
                           <ci>a</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C3</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>alpha</ci>
                     <ci>C2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>beta</ci>
                     <ci>C4</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                     <ci>C_Ca3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>alpha</ci>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <apply>
                           <power/>
                           <ci>a</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C4</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>alpha</ci>
                     <ci>C3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>g</ci>
                     <ci>O</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                     <ci>C_Ca4</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     </apply>
                     <ci>f</ci>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <apply>
                           <power/>
                           <ci>a</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C4</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>f</ci>
                  <ci>C4</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>g</ci>
                  <ci>O</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca0</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>beta_b</ci>
                     <ci>C_Ca1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <ci>C0</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        <ci>alpha_a</ci>
                     </apply>
                     <ci>omega</ci>
                  </apply>
                  <ci>C_Ca0</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>alpha_a</ci>
                     <ci>C_Ca0</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>beta_b</ci>
                     <ci>C_Ca2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <ci>a</ci>
                     <ci>C1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>beta_b</ci>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        <ci>alpha_a</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <ci>b</ci>
                     </apply>
                  </apply>
                  <ci>C_Ca1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>alpha_a</ci>
                     <ci>C_Ca1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>beta_b</ci>
                     <ci>C_Ca3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <apply>
                        <power/>
                        <ci>a</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                     <ci>C2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta_b</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>alpha_a</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C_Ca2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca3</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>alpha_a</ci>
                     <ci>C_Ca2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>beta_b</ci>
                     <ci>C_Ca4</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <apply>
                        <power/>
                        <ci>a</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>C3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta_b</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>alpha_a</ci>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C_Ca3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca4</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>alpha_a</ci>
                     <ci>C_Ca3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gprime</ci>
                     <ci>O_Ca</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <apply>
                        <power/>
                        <ci>a</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     </apply>
                     <ci>C4</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta_b</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     </apply>
                     <ci>fprime</ci>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C_Ca4</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O_Ca</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>fprime</ci>
                  <ci>C_Ca4</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>gprime</ci>
                  <ci>O_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_current_y_gate">
      <variable initial_value="0.798" name="y" public_interface="out" units="dimensionless"/>
      <variable name="y_infinity" units="dimensionless"/>
      <variable name="tau_y" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>y_infinity</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.8</cn>
                  <apply>
                     <plus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">12.5</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.2</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_y</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">20</cn>
                  <apply>
                     <divide/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">600</cn>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
                              </apply>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9.5</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1000</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>y</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>y_infinity</ci>
                  <ci>y</ci>
               </apply>
               <ci>tau_y</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="RyR_channel">
      <variable cmeta:id="RyR_channel_J_rel" name="J_rel" public_interface="out" units="millimolar_per_second"/>
      <variable initial_value="1800" name="v1" units="per_second"/>
      <variable initial_value="1.215e13" name="k_a_plus" units="millimolar4_per_second"/>
      <variable initial_value="576" name="k_a_minus" units="per_second"/>
      <variable initial_value="4.05e9" name="k_b_plus" units="millimolar3_per_second"/>
      <variable initial_value="1930" name="k_b_minus" units="per_second"/>
      <variable initial_value="100" name="k_c_plus" units="per_second"/>
      <variable initial_value="0.8" name="k_c_minus" units="per_second"/>
      <variable initial_value="0" name="P_O1" units="dimensionless"/>
      <variable initial_value="0" name="P_O2" units="dimensionless"/>
      <variable initial_value="0.47" name="P_C1" units="dimensionless"/>
      <variable initial_value="0.53" name="P_C2" units="dimensionless"/>
      <variable initial_value="4" name="n" units="dimensionless"/>
      <variable initial_value="3" name="m" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Ca_ss" public_interface="in" units="millimolar"/>
      <variable name="Ca_JSR" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_C1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>k_a_plus</ci>
                  </apply>
                  <apply>
                     <power/>
                     <ci>Ca_ss</ci>
                     <ci>n</ci>
                  </apply>
                  <ci>P_C1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_a_minus</ci>
                  <ci>P_O1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_O1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>k_a_plus</ci>
                     <apply>
                        <power/>
                        <ci>Ca_ss</ci>
                        <ci>n</ci>
                     </apply>
                     <ci>P_C1</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>k_a_minus</ci>
                        <ci>P_O1</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_b_plus</ci>
                        <apply>
                           <power/>
                           <ci>Ca_ss</ci>
                           <ci>m</ci>
                        </apply>
                        <ci>P_O1</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_c_plus</ci>
                        <ci>P_O1</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_b_minus</ci>
                  <ci>P_O2</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_c_minus</ci>
                  <ci>P_C2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_O2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_b_plus</ci>
                  <apply>
                     <power/>
                     <ci>Ca_ss</ci>
                     <ci>m</ci>
                  </apply>
                  <ci>P_O1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_b_minus</ci>
                  <ci>P_O2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_C2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_c_plus</ci>
                  <ci>P_O1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_c_minus</ci>
                  <ci>P_C2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_rel</ci>
            <apply>
               <times/>
               <ci>v1</ci>
               <apply>
                  <plus/>
                  <ci>P_O1</ci>
                  <ci>P_O2</ci>
               </apply>
               <apply>
                  <minus/>
                  <ci>Ca_JSR</ci>
                  <ci>Ca_ss</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="SERCA2a_pump">
      <variable cmeta:id="SERCA2a_pump_J_up" name="J_up" public_interface="out" units="millimolar_per_second"/>
      <variable initial_value="0.000168" name="K_fb" units="millimolar"/>
      <variable initial_value="3.29" name="K_rb" units="millimolar"/>
      <variable name="fb" units="dimensionless"/>
      <variable name="rb" units="dimensionless"/>
      <variable initial_value="0.0813" name="Vmaxf" units="millimolar_per_second"/>
      <variable initial_value="0.318" name="Vmaxr" units="millimolar_per_second"/>
      <variable initial_value="1" name="K_SR" units="dimensionless"/>
      <variable initial_value="1.2" name="N_fb" units="dimensionless"/>
      <variable initial_value="1" name="N_rb" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <variable name="Ca_NSR" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>fb</ci>
            <apply>
               <power/>
               <apply>
                  <divide/>
                  <ci>Cai</ci>
                  <ci>K_fb</ci>
               </apply>
               <ci>N_fb</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rb</ci>
            <apply>
               <power/>
               <apply>
                  <divide/>
                  <ci>Ca_NSR</ci>
                  <ci>K_rb</ci>
               </apply>
               <ci>N_rb</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_up</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_SR</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>Vmaxf</ci>
                        <ci>fb</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Vmaxr</ci>
                        <ci>rb</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <ci>fb</ci>
                  <ci>rb</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_Ca_fluxes">
      <variable cmeta:id="intracellular_Ca_fluxes_J_tr" name="J_tr" public_interface="out" units="millimolar_per_second"/>
      <variable cmeta:id="intracellular_Ca_fluxes_J_xfer" name="J_xfer" public_interface="out" units="millimolar_per_second"/>
      <variable name="J_trpn" public_interface="out" units="millimolar_per_second"/>
      <variable initial_value="0.0005747" name="tau_tr" units="second"/>
      <variable initial_value="0.0267" name="tau_xfer" units="second"/>
      <variable initial_value="0.98" name="HTRPNCa" units="millimolar"/>
      <variable initial_value="0.078" name="LTRPNCa" units="millimolar"/>
      <variable name="J_HTRPNCa" units="millimolar_per_second"/>
      <variable name="J_LTRPNCa" units="millimolar_per_second"/>
      <variable initial_value="0.14" name="HTRPN_tot" units="dimensionless"/>
      <variable initial_value="0.07" name="LTRPN_tot" units="dimensionless"/>
      <variable initial_value="20000" name="k_htrpn_plus" units="per_millimolar_second"/>
      <variable initial_value="0.066" name="k_htrpn_minus" units="per_second"/>
      <variable initial_value="40000" name="k_ltrpn_plus" units="per_millimolar_second"/>
      <variable initial_value="40" name="k_ltrpn_minus" units="per_second"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Ca_ss" public_interface="in" units="millimolar"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <variable name="Ca_NSR" public_interface="in" units="millimolar"/>
      <variable name="Ca_JSR" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_tr</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_NSR</ci>
                  <ci>Ca_JSR</ci>
               </apply>
               <ci>tau_tr</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_xfer</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_ss</ci>
                  <ci>Cai</ci>
               </apply>
               <ci>tau_xfer</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_trpn</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>HTRPN_tot</ci>
                  <ci>J_HTRPNCa</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>LTRPN_tot</ci>
                  <ci>J_LTRPNCa</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_HTRPNCa</ci>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>HTRPNCa</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>HTRPNCa</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_htrpn_plus</ci>
                  <ci>Cai</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
                     <ci>HTRPNCa</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_htrpn_minus</ci>
                  <ci>HTRPNCa</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_LTRPNCa</ci>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>LTRPNCa</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>LTRPNCa</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_ltrpn_plus</ci>
                  <ci>Cai</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
                     <ci>LTRPNCa</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_ltrpn_minus</ci>
                  <ci>LTRPNCa</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_ion_concentrations">
      <variable initial_value="10" name="Nai" public_interface="out" units="millimolar"/>
      <variable initial_value="0.00008" name="Cai" public_interface="out" units="millimolar"/>
      <variable initial_value="157.8" name="Ki" public_interface="out" units="millimolar"/>
      <variable initial_value="0.00011" name="Ca_ss" public_interface="out" units="millimolar"/>
      <variable initial_value="0.257" name="Ca_JSR" public_interface="out" units="millimolar"/>
      <variable initial_value="0.257" name="Ca_NSR" public_interface="out" units="millimolar"/>
      <variable initial_value="0.0001534" name="A_cap" units="cm2"/>
      <variable initial_value="0.00002584" name="V_myo" units="micro_litre"/>
      <variable initial_value="0.00000016" name="V_JSR" units="micro_litre"/>
      <variable initial_value="0.0000021" name="V_NSR" units="micro_litre"/>
      <variable initial_value="0.0000000012" name="V_SS" units="micro_litre"/>
      <variable cmeta:id="intracellular_ion_concentrations_K_mCMDN" initial_value="0.00238" name="K_mCMDN" units="millimolar"/>
      <variable initial_value="0.00015" name="K_mEGTA" units="millimolar"/>
      <variable cmeta:id="intracellular_ion_concentrations_K_mCSQN" initial_value="0.8" name="K_mCSQN" units="millimolar"/>
      <variable initial_value="0.05" name="CMDN_tot" units="millimolar"/>
      <variable initial_value="0" name="EGTA_tot" units="millimolar"/>
      <variable initial_value="15" name="CSQN_tot" units="millimolar"/>
      <variable name="beta_i" units="dimensionless"/>
      <variable name="beta_SS" units="dimensionless"/>
      <variable name="beta_JSR" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="C_sc" public_interface="in" units="microF_per_cm2"/>
      <variable name="i_Na" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ca" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Na_b" public_interface="in" units="microA_per_microF"/>
      <variable name="i_NaCa" public_interface="in" units="microA_per_microF"/>
      <variable name="i_NaK" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ca_K" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Kr" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ks" public_interface="in" units="microA_per_microF"/>
      <variable name="i_K1" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Kp" public_interface="in" units="microA_per_microF"/>
      <variable name="i_to1" public_interface="in" units="microA_per_microF"/>
      <variable name="i_p_Ca" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ca_b" public_interface="in" units="microA_per_microF"/>
      <variable name="J_up" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_rel" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_xfer" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_trpn" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_tr" public_interface="in" units="millimolar_per_second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cai</ci>
            </apply>
            <apply>
               <times/>
               <ci>beta_i</ci>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_xfer</ci>
                     <apply>
                        <plus/>
                        <ci>J_up</ci>
                        <ci>J_trpn</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                              <ci>i_NaCa</ci>
                           </apply>
                           <apply>
                              <plus/>
                              <ci>i_p_Ca</ci>
                              <ci>i_Ca_b</ci>
                           </apply>
                        </apply>
                        <ci>A_cap</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>V_myo</ci>
                        <ci>F</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Nai</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>i_Na</ci>
                     <ci>i_Na_b</ci>
                     <apply>
                        <times/>
                        <ci>i_NaCa</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <apply>
                        <times/>
                        <ci>i_NaK</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                  </apply>
                  <ci>A_cap</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
               </apply>
               <apply>
                  <times/>
                  <ci>V_myo</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ki</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>i_Ca_K</ci>
                     <ci>i_Kr</ci>
                     <ci>i_Ks</ci>
                     <ci>i_K1</ci>
                     <ci>i_Kp</ci>
                     <ci>i_to1</ci>
                     <apply>
                        <times/>
                        <ci>i_NaK</ci>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>A_cap</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
               </apply>
               <apply>
                  <times/>
                  <ci>V_myo</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_i</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>CMDN_tot</ci>
                        <ci>K_mCMDN</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mCMDN</ci>
                           <ci>Cai</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>EGTA_tot</ci>
                        <ci>K_mEGTA</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mEGTA</ci>
                           <ci>Cai</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_SS</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>CMDN_tot</ci>
                        <ci>K_mCMDN</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mCMDN</ci>
                           <ci>Ca_ss</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>EGTA_tot</ci>
                        <ci>K_mEGTA</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mEGTA</ci>
                           <ci>Ca_ss</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_JSR</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>CSQN_tot</ci>
                        <ci>K_mCSQN</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mCSQN</ci>
                           <ci>Ca_JSR</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_ss</ci>
            </apply>
            <apply>
               <times/>
               <ci>beta_SS</ci>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>J_rel</ci>
                           <ci>V_JSR</ci>
                        </apply>
                        <ci>V_SS</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>J_xfer</ci>
                           <ci>V_myo</ci>
                        </apply>
                        <ci>V_SS</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>i_Ca</ci>
                        <ci>A_cap</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>V_SS</ci>
                        <ci>F</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_JSR</ci>
            </apply>
            <apply>
               <times/>
               <ci>beta_JSR</ci>
               <apply>
                  <minus/>
                  <ci>J_tr</ci>
                  <ci>J_rel</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_NSR</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>J_up</ci>
                     <ci>V_myo</ci>
                  </apply>
                  <ci>V_NSR</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>J_tr</ci>
                     <ci>V_JSR</ci>
                  </apply>
                  <ci>V_NSR</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="standard_ionic_concentrations">
      <variable initial_value="138" name="Nao" public_interface="out" units="millimolar"/>
      <variable initial_value="2" name="Cao" public_interface="out" units="millimolar"/>
      <variable initial_value="4" name="Ko" public_interface="out" units="millimolar"/>
   </component>
   <group>
      <relationship_ref relationship="containment"/>
      <component_ref component="membrane">
         <component_ref component="fast_sodium_current">
            <component_ref component="fast_sodium_current_m_gate"/>
            <component_ref component="fast_sodium_current_h_gate"/>
            <component_ref component="fast_sodium_current_j_gate"/>
         </component_ref>
         <component_ref component="rapid_activating_delayed_rectifiyer_K_current">
            <component_ref component="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate"/>
         </component_ref>
         <component_ref component="slow_activating_delayed_rectifiyer_K_current">
            <component_ref component="slow_activating_delayed_rectifiyer_K_current_X_ks_gate"/>
         </component_ref>
         <component_ref component="transient_outward_potassium_current">
            <component_ref component="transient_outward_potassium_current_X_to1_gate"/>
            <component_ref component="transient_outward_potassium_current_Y_to1_gate"/>
         </component_ref>
         <component_ref component="time_independent_potassium_current">
            <component_ref component="time_independent_potassium_current_K1_gate"/>
         </component_ref>
         <component_ref component="plateau_potassium_current">
            <component_ref component="plateau_potassium_current_Kp_gate"/>
         </component_ref>
         <component_ref component="Na_Ca_exchanger"/>
         <component_ref component="sodium_potassium_pump"/>
         <component_ref component="sarcolemmal_calcium_pump"/>
         <component_ref component="calcium_background_current"/>
         <component_ref component="sodium_background_current"/>
         <component_ref component="L_type_Ca_current">
            <component_ref component="L_type_Ca_current_y_gate"/>
         </component_ref>
         <component_ref component="RyR_channel"/>
         <component_ref component="SERCA2a_pump"/>
         <component_ref component="intracellular_Ca_fluxes"/>
         <component_ref component="intracellular_ion_concentrations"/>
         <component_ref component="standard_ionic_concentrations"/>
      </component_ref>
   </group>
   <group>
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="fast_sodium_current">
         <component_ref component="fast_sodium_current_m_gate"/>
         <component_ref component="fast_sodium_current_h_gate"/>
         <component_ref component="fast_sodium_current_j_gate"/>
      </component_ref>
      <component_ref component="rapid_activating_delayed_rectifiyer_K_current">
         <component_ref component="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate"/>
      </component_ref>
      <component_ref component="slow_activating_delayed_rectifiyer_K_current">
         <component_ref component="slow_activating_delayed_rectifiyer_K_current_X_ks_gate"/>
      </component_ref>
      <component_ref component="transient_outward_potassium_current">
         <component_ref component="transient_outward_potassium_current_X_to1_gate"/>
         <component_ref component="transient_outward_potassium_current_Y_to1_gate"/>
      </component_ref>
      <component_ref component="time_independent_potassium_current">
         <component_ref component="time_independent_potassium_current_K1_gate"/>
      </component_ref>
      <component_ref component="plateau_potassium_current">
         <component_ref component="plateau_potassium_current_Kp_gate"/>
      </component_ref>
      <component_ref component="L_type_Ca_current">
         <component_ref component="L_type_Ca_current_y_gate"/>
      </component_ref>
   </group>
   <connection>
      <map_components component_1="membrane" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="rapid_activating_delayed_rectifiyer_K_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="slow_activating_delayed_rectifiyer_K_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sarcolemmal_calcium_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="RyR_channel" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="SERCA2a_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_Ca_fluxes" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_ion_concentrations" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="fast_sodium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="slow_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="transient_outward_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_to1" variable_2="i_to1"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="plateau_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Kp" variable_2="i_Kp"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="Na_Ca_exchanger"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sodium_potassium_pump"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_NaK" variable_2="i_NaK"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sarcolemmal_calcium_pump"/>
      <map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="calcium_background_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sodium_background_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="L_type_Ca_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca" variable_2="i_Ca"/>
      <map_variables variable_1="i_Ca_K" variable_2="i_Ca_K"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="C_sc" variable_2="C_sc"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="C_sc" variable_2="C_sc"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="sodium_background_current"/>
      <map_variables variable_1="E_Na" variable_2="E_Na"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="standard_ionic_concentrations"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_ion_concentrations" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
   </connection>
   <connection>
      <map_components component_1="standard_ionic_concentrations" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_ion_concentrations" component_2="slow_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="standard_ionic_concentrations" component_2="slow_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_to1" variable_2="i_to1"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="standard_ionic_concentrations"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Kp" variable_2="i_Kp"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="standard_ionic_concentrations"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="i_NaK" variable_2="i_NaK"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="standard_ionic_concentrations"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
   </connection>
   <connection>
      <map_components component_1="sarcolemmal_calcium_pump" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="standard_ionic_concentrations"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Ca_K" variable_2="i_Ca_K"/>
      <map_variables variable_1="i_Ca" variable_2="i_Ca"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
      <map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="standard_ionic_concentrations"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
   </connection>
   <connection>
      <map_components component_1="RyR_channel" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="J_rel" variable_2="J_rel"/>
      <map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
      <map_variables variable_1="Ca_JSR" variable_2="Ca_JSR"/>
   </connection>
   <connection>
      <map_components component_1="SERCA2a_pump" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="J_up" variable_2="J_up"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="Ca_NSR" variable_2="Ca_NSR"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_Ca_fluxes" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="J_tr" variable_2="J_tr"/>
      <map_variables variable_1="J_xfer" variable_2="J_xfer"/>
      <map_variables variable_1="J_trpn" variable_2="J_trpn"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="Ca_NSR" variable_2="Ca_NSR"/>
      <map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
      <map_variables variable_1="Ca_JSR" variable_2="Ca_JSR"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_m_gate"/>
      <map_variables variable_1="m" variable_2="m"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_h_gate"/>
      <map_variables variable_1="h" variable_2="h"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_j_gate"/>
      <map_variables variable_1="j" variable_2="j"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="rapid_activating_delayed_rectifiyer_K_current" component_2="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate"/>
      <map_variables variable_1="X_kr" variable_2="X_kr"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="slow_activating_delayed_rectifiyer_K_current" component_2="slow_activating_delayed_rectifiyer_K_current_X_ks_gate"/>
      <map_variables variable_1="X_ks" variable_2="X_ks"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="transient_outward_potassium_current_X_to1_gate"/>
      <map_variables variable_1="X_to1" variable_2="X_to1"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="transient_outward_potassium_current_Y_to1_gate"/>
      <map_variables variable_1="Y_to1" variable_2="Y_to1"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="time_independent_potassium_current_K1_gate"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
      <map_variables variable_1="K1_infinity_V" variable_2="K1_infinity_V"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="plateau_potassium_current_Kp_gate"/>
      <map_variables variable_1="Kp_V" variable_2="Kp_V"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="L_type_Ca_current_y_gate"/>
      <map_variables variable_1="y" variable_2="y"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>




<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:about="rdf:#84e5b92a-9ed7-475d-86da-ca7d3911bc66"><volume xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">84</volume><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#a5daf9fd-011a-41e3-942e-6c158b199735"/></creator><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Mechanisms of Altered Excitation-Contraction Coupling in Canine Tachycardia-Induced Heart Failure, II Model Studies</title><Journal xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#602e9ebf-a3aa-4a04-a622-562c61ecfdd1"/></Journal><issued xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#54ebd79e-743f-4a7e-8166-28550050b542"/></issued><last_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">586</last_page><first_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">571</first_page></rdf:Description><rdf:Description rdf:nodeID="n1"><rdf:value><rdf:Description rdf:nodeID="n2"/></rdf:value><subject_type xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">keyword</subject_type></rdf:Description><rdf:Description rdf:about="rdf:#9e5c3a5d-844d-41a3-b315-f9efdbf8e377"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2007-10-30T11:32:02+13:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#382900ee-5683-4fe9-ac5c-ae961f78224e"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">S</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Jafri</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">M</Given></rdf:Description><rdf:Description rdf:about="rdf:#256601f9-09b3-4789-988b-b22a92873cde"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#382900ee-5683-4fe9-ac5c-ae961f78224e"/></N></rdf:Description><rdf:Description rdf:about="#winslow_model_1999"><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$dNHye3"/></simulation><cmeta:comment><rdf:Description rdf:about="rdf:#4b376467-40ed-4c63-bc8c-776b85c5ba6c"/></cmeta:comment><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#d9a74d09-dc52-4177-ad80-effe144512bd"/></reference><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:nodeID="n3"/></reference></rdf:Description><rdf:Description rdf:about="rdf:#24b1ee39-2705-488b-b537-c104b9b720c8"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#9609de23-25e6-4123-a353-d5d2d8ee8bc9"/></N></rdf:Description><rdf:Description rdf:about="rdf:#4b376467-40ed-4c63-bc8c-776b85c5ba6c"><rdf:value xml:lang="en">This is the CellML description of Winslow et al's mathematical model of ionic fluxes and Ca regulation in normal and failing ventricular myocytes. This model is derived from Jafri et al's guinea pig ventricular model (1998) with modifications to better represent the conditions in a canine midmyocardial ventricular cell.</rdf:value><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#23abe610-ecf8-4940-8114-c58e3e63cf7b"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#adc9357a-9590-49ef-83d9-9dfdeb88dd59"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#e85d09c6-d9b5-42bf-9b14-866eef79e05a"/></N></rdf:Description><rdf:Description rdf:about="rdf:#e979ba27-a051-4b96-82f7-0ddc37726fbf"><rdf:type><rdf:Description rdf:about="http://imc.org/vCard/3.0#internet"/></rdf:type><rdf:value xml:lang="en">penny.noble@dpag.ox.ac.uk</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#23abe610-ecf8-4940-8114-c58e3e63cf7b"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Catherine Lloyd</FN></rdf:Description><rdf:Description rdf:about="rdf:#d98590d4-0f18-4d52-8bd6-d59ace043cb9"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#dcd99a1e-d005-4776-8cf3-25dab4a18474"/></N></rdf:Description><rdf:Description rdf:about="rdf:#f9b8861b-0506-40eb-8dd2-6c10a278e779"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#d942ba9a-f57d-473a-b1b4-35b2b5a89e9d"/></N></rdf:Description><rdf:Description rdf:about="rdf:#047f59b6-96ad-4d8b-b535-019c06038f6c"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">J</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Noble</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Penny</Given></rdf:Description><rdf:Description rdf:about="rdf:#4a55e4d6-e20b-4cc5-bc61-c531d85f59dd"><Orgname xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Oxford University</Orgname><Orgunit xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Department of Physiology, Anatomy &amp; Genetics</Orgunit></rdf:Description><rdf:Description rdf:about="rdf:#8e012b59-759c-43f6-81c8-f90ee54d2bff"><rdf:value xml:lang="en">This model has been curated by Penny Noble and is known to run in PCEnv and COR. It is able to produce the results of the model published in the Matsuoka 2003 paper but still contains some unit discrepancies.</rdf:value><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#31e390ab-6871-441b-b4dd-37419cd61197"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#9f20199f-ec28-488d-867f-97645d70b7c5"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2008-02-25T12:32:09+13:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#dcd99a1e-d005-4776-8cf3-25dab4a18474"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">L</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Winslow</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Raimond</Given></rdf:Description><rdf:Description rdf:about="rdf:#47be2569-8691-433b-bba2-7948788cc2c2"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#047f59b6-96ad-4d8b-b535-019c06038f6c"/></N><ORG 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xml:lang="en">Penny</Given></rdf:Description><rdf:Description rdf:about="rdf:#a5daf9fd-011a-41e3-942e-6c158b199735"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Seq"/></rdf:type><rdf:_3><rdf:Description rdf:about="rdf:#256601f9-09b3-4789-988b-b22a92873cde"/></rdf:_3><rdf:_1><rdf:Description rdf:about="rdf:#d98590d4-0f18-4d52-8bd6-d59ace043cb9"/></rdf:_1><rdf:_5><rdf:Description rdf:about="rdf:#43b5096b-d0c8-4855-89a9-88b275fab34c"/></rdf:_5><rdf:_2><rdf:Description rdf:about="rdf:#24b1ee39-2705-488b-b537-c104b9b720c8"/></rdf:_2><rdf:_4><rdf:Description rdf:about="rdf:#f30b240e-2fa8-466a-b6d4-024ad7de23d3"/></rdf:_4></rdf:Description><rdf:Description rdf:about="rdf:#$fNHye3"><pointDensity xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">50000</pointDensity><endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">5</endingValue><maximumStepSize xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">0.001</maximumStepSize><algorithm xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">bdf15</algorithm></rdf:Description><rdf:Description rdf:about="rdf:#602e9ebf-a3aa-4a04-a622-562c61ecfdd1"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Circulation Research</title></rdf:Description><rdf:Description rdf:about="rdf:#9609de23-25e6-4123-a353-d5d2d8ee8bc9"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">J</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Rice</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">John</Given></rdf:Description><rdf:Description rdf:about="rdf:#d09f7ab4-3260-4af9-89c0-309d5dd856a2"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">O'Rorke</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Brian</Given></rdf:Description><rdf:Description rdf:about="rdf:#31e390ab-6871-441b-b4dd-37419cd61197"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">James Lawson</FN></rdf:Description><rdf:Description rdf:about="rdf:#$dNHye3"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$eNHye3"/></boundIntervals></rdf:Description><rdf:Description rdf:about="rdf:#54ebd79e-743f-4a7e-8166-28550050b542"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">1999-03-19 00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#d942ba9a-f57d-473a-b1b4-35b2b5a89e9d"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Richard</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Lawson</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">James</Given></rdf:Description><rdf:Description rdf:nodeID="n3"><subject xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:nodeID="n1"/></subject></rdf:Description><rdf:Description rdf:about=""><cmeta:comment><rdf:Description rdf:about="rdf:#8e012b59-759c-43f6-81c8-f90ee54d2bff"/></cmeta:comment><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#47be2569-8691-433b-bba2-7948788cc2c2"/></creator><publisher xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Department of Physiology, Anatomy &amp; Genetics, University of Oxford</publisher><cmeta:modification><rdf:Description rdf:about="rdf:#9642f105-7edb-47bb-a9a6-fca715cbcc32"/></cmeta:modification><cmeta:modification><rdf:Description rdf:about="rdf:#f59cd38d-48a9-45b4-8f8c-d8101f5d2675"/></cmeta:modification><created xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#28e5e4ec-c658-442d-bfe9-5c05e1a592d3"/></created></rdf:Description><rdf:Description rdf:about="rdf:#d9a74d09-dc52-4177-ad80-effe144512bd"><Pubmed_id xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">10082479</Pubmed_id><JournalArticle xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#84e5b92a-9ed7-475d-86da-ca7d3911bc66"/></JournalArticle></rdf:Description><rdf:Description rdf:about="rdf:#9642f105-7edb-47bb-a9a6-fca715cbcc32"><cmeta:modifier><rdf:Description rdf:about="rdf:#adc9357a-9590-49ef-83d9-9dfdeb88dd59"/></cmeta:modifier><rdf:value xml:lang="en">units checked, curated</rdf:value><modified xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#9f20199f-ec28-488d-867f-97645d70b7c5"/></modified></rdf:Description><rdf:Description rdf:nodeID="n2"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Bag"/></rdf:type><rdf:_3 xml:lang="en">excitation-contraction coupling</rdf:_3><rdf:_7 xml:lang="en">electrophysiology</rdf:_7><rdf:_9 xml:lang="en">tachycardia</rdf:_9><rdf:_1 xml:lang="en">heart failure</rdf:_1><rdf:_8 xml:lang="en">cardiac</rdf:_8><rdf:_5 xml:lang="en">calcium dynamics</rdf:_5><rdf:_2 xml:lang="en">ventricular myocyte</rdf:_2><rdf:_6 xml:lang="en">Ventricular Myocyte</rdf:_6><rdf:_4 xml:lang="en">canine</rdf:_4></rdf:Description><rdf:Description rdf:about="rdf:#f59cd38d-48a9-45b4-8f8c-d8101f5d2675"><cmeta:modifier><rdf:Description rdf:about="rdf:#f9b8861b-0506-40eb-8dd2-6c10a278e779"/></cmeta:modifier><rdf:value xml:lang="en">A multiple stimulus protocol component has been added to this model to allow simulations of trains of action potentials. Several variables have also been given cmeta:ids to allow them to be referenced in a PCEnv session file.</rdf:value><modified xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#9e5c3a5d-844d-41a3-b315-f9efdbf8e377"/></modified></rdf:Description><rdf:Description rdf:about="rdf:#$eNHye3"><rdf:first><rdf:Description rdf:about="rdf:#$fNHye3"/></rdf:first><rdf:rest><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/></rdf:rest></rdf:Description><rdf:Description rdf:about="rdf:#43b5096b-d0c8-4855-89a9-88b275fab34c"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#d09f7ab4-3260-4af9-89c0-309d5dd856a2"/></N></rdf:Description><rdf:Description rdf:about="rdf:#f30b240e-2fa8-466a-b6d4-024ad7de23d3"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#9a71d53c-c0f7-4cd7-94f3-426d440644bb"/></N></rdf:Description></rdf:RDF></model>