Rendering of the source text

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<!--
This CellML file was generated on 21/09/2009 at 15:12:58 using:

COR (0.9.31.1319)
Copyright 2002-2009 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk

CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
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<article>
  <articleinfo>
  <title>Optimal velocity and safety of discontinuous conduction through the heterogeneous Purkinje-ventricular junction
</title>
  <author>
    <firstname>Penny</firstname>
          <surname>Noble</surname>
    <affiliation>
      <shortaffil>University of Oxford</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
            This CellML version of the model has been checked in both PCEnv and COR and it runs to recreate the published results.  The units have been checked and they balance. We would like to thank the original model author Oleg Aslanidi for his help in the final stages of model curation.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: Experimental evidence suggests that regional differences in action potential (AP) morphology can provide a substrate for initiation and maintenance of reentrant arrhythmias in the right atrium (RA), but the relationships between the complex electrophysiological and anatomical organization of the RA and the genesis of reentry are unclear. In this study, a biophysically detailed three-dimensional computer model of the right atrial tissue was constructed to study the role of tissue heterogeneity and anisotropy in arrhythmogenesis. The model of Lindblad et al. for a rabbit atrial cell was modified to incorporate experimental data on regional differences in several ionic currents (primarily, I(Na), I(CaL), I(K1), I(to), and I(sus)) between the crista terminalis and pectinate muscle cells. The modified model was validated by its ability to reproduce the AP properties measured experimentally. The anatomical model of the rabbit RA (including tissue geometry and fiber orientation) was based on a recent histological reconstruction. Simulations with the resultant electrophysiologically and anatomically detailed three-dimensional model show that complex organization of the RA tissue causes breakdown of regular AP conduction patterns at high pacing rates (&gt;11.75 Hz): as the AP in the crista terminalis cells is longer, and electrotonic coupling transverse to fibers of the crista terminalis is weak, high-frequency pacing at the border between the crista terminalis and pectinate muscles results in a unidirectional conduction block toward the crista terminalis and generation of reentry. Contributions of the tissue heterogeneity and anisotropy to reentry initiation mechanisms are quantified by measuring action potential duration (APD) gradients at the border between the crista terminalis and pectinate muscles: the APD gradients are high in areas where both heterogeneity and anisotropy are high, such that intrinsic APD differences are not diminished by electrotonic interactions. Thus, our detailed computer model reconstructs complex electrical activity in the RA, and provides new insights into the mechanisms of transition from focal atrial tachycardia into reentry.
</para>

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

<para>
Mechanisms of transition from normal to reentrant electrical activity in a model of rabbit atrial tissue: interaction of tissue heterogeneity and anisotropy, Oleg V. Aslanidi, Mark R. Boyett, Halina Dobrzynski, and Henggui Zhang, 2009, <emphasis>Biophysical Journal</emphasis>, 96, 798-817. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=19186122&amp;dopt=Abstract">PubMed ID: 19186122</ulink> 
</para>


<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>schematic diagram</title>
    </objectinfo>
    <imagedata fileref="aslanidi_2009b.png"/>
  </imageobject>
</mediaobject>
<caption>A schematic diagram describing the atrial cell model.</caption>
</informalfigure>


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




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      <variable initial_value="0.004" name="g_Ca_L" units="nanoS"/>
      <variable initial_value="50" name="E_Ca_app" 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="d_prime" units="dimensionless"/>
      <variable name="d_L" private_interface="in" units="dimensionless"/>
      <variable name="f_L" private_interface="in" units="dimensionless"/>
      <variable name="CT" public_interface="in" units="dimensionless"/>
      <variable name="PM" public_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>d_prime</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/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">23</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">12</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_L</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.8</cn>
                     <ci>g_Ca_L</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <ci>d_L</ci>
                           <ci>f_L</ci>
                        </apply>
                        <ci>d_prime</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Ca_app</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.1</cn>
                     <ci>g_Ca_L</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <ci>d_L</ci>
                           <ci>f_L</ci>
                        </apply>
                        <ci>d_prime</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Ca_app</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>g_Ca_L</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <ci>d_L</ci>
                           <ci>f_L</ci>
                        </apply>
                        <ci>d_prime</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Ca_app</ci>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_d_L_gate">
      <variable initial_value="0.00003" name="d_L" public_interface="out" units="dimensionless"/>
      <variable name="E0_alpha_d_L" units="millivolt"/>
      <variable name="E0_beta_d_L" units="millivolt"/>
      <variable name="E10" units="millivolt"/>
      <variable name="alpha_d_L" units="per_second"/>
      <variable name="beta_d_L" units="per_second"/>
      <variable name="d_L_infinity" units="dimensionless"/>
      <variable name="tau_d_L" 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>E0_alpha_d_L</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">45</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>E0_beta_d_L</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>E10</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_d_L</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">16.72</cn>
                     </apply>
                     <ci>E0_alpha_d_L</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <ci>E0_alpha_d_L</ci>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">2.5</cn>
                           </apply>
                        </apply>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">50</cn>
                     </apply>
                     <ci>E10</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <ci>E10</ci>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4.808</cn>
                           </apply>
                        </apply>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_d_L</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">4.48</cn>
                  <ci>E0_beta_d_L</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>E0_beta_d_L</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">2.5</cn>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>d_L_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>
                           <plus/>
                           <ci>E10</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.95</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.6</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_d_L</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_d_L</ci>
                  <ci>beta_d_L</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d_L</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>d_L_infinity</ci>
                  <ci>d_L</ci>
               </apply>
               <ci>tau_d_L</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_f_L_gate">
      <variable initial_value="0.99981" name="f_L" public_interface="out" units="dimensionless"/>
      <variable name="E0_f_L" units="millivolt"/>
      <variable name="alpha_f_L" units="per_second"/>
      <variable name="beta_f_L" units="per_second"/>
      <variable name="f_L_infinity" public_interface="out" units="dimensionless"/>
      <variable name="tau_f_L" 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>E0_f_L</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">18</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_f_L</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">8.49</cn>
                  <ci>E0_f_L</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>E0_f_L</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_f_L</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">67.922</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>E0_f_L</ci>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>f_L_infinity</ci>
            <apply>
               <divide/>
               <ci>alpha_f_L</ci>
               <apply>
                  <plus/>
                  <ci>alpha_f_L</ci>
                  <ci>beta_f_L</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_f_L</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_f_L</ci>
                  <ci>beta_f_L</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f_L</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>f_L_infinity</ci>
                  <ci>f_L</ci>
               </apply>
               <ci>tau_f_L</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="T_type_Ca_channel">
      <variable cmeta:id="T_type_Ca_channel_i_Ca_T" name="i_Ca_T" public_interface="out" units="picoA"/>
      <variable initial_value="0.006" name="g_Ca_T" units="nanoS"/>
      <variable initial_value="38" name="E_Ca_T" 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="d_T" private_interface="in" units="dimensionless"/>
      <variable name="f_T" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ca_T</ci>
            <apply>
               <times/>
               <ci>g_Ca_T</ci>
               <ci>d_T</ci>
               <ci>f_T</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ca_T</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="T_type_Ca_channel_d_T_gate">
      <variable initial_value="0.00046" name="d_T" public_interface="out" units="dimensionless"/>
      <variable name="E0_d_T" units="millivolt"/>
      <variable name="alpha_d_T" units="per_second"/>
      <variable name="beta_d_T" units="per_second"/>
      <variable name="d_T_infinity" units="dimensionless"/>
      <variable name="tau_d_T" 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>E0_d_T</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">23.3</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_d_T</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">674.173</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>E0_d_T</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_d_T</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">674.173</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>E0_d_T</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>d_T_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/>
                           <ci>E0_d_T</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.3</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.1</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_d_T</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_d_T</ci>
                  <ci>beta_d_T</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d_T</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>d_T_infinity</ci>
                  <ci>d_T</ci>
               </apply>
               <ci>tau_d_T</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="T_type_Ca_channel_f_T_gate">
      <variable initial_value="0.30752" name="f_T" public_interface="out" units="dimensionless"/>
      <variable name="E0_f_T" units="millivolt"/>
      <variable name="alpha_f_T" units="per_second"/>
      <variable name="beta_f_T" units="per_second"/>
      <variable name="f_T_infinity" public_interface="out" units="dimensionless"/>
      <variable name="tau_f_T" 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>E0_f_T</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_f_T</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">9.637</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>E0_f_T</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">83.3</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_f_T</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">9.637</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>E0_f_T</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15.38</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>f_T_infinity</ci>
            <apply>
               <divide/>
               <ci>alpha_f_T</ci>
               <apply>
                  <plus/>
                  <ci>alpha_f_T</ci>
                  <ci>beta_f_T</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_f_T</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_f_T</ci>
                  <ci>beta_f_T</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f_T</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>f_T_infinity</ci>
                  <ci>f_T</ci>
               </apply>
               <ci>tau_f_T</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_independent_transient_outward_K_current">
      <variable cmeta:id="Ca_independent_transient_outward_K_current_i_to" name="i_to" public_interface="out" units="picoA"/>
      <variable cmeta:id="Ca_independent_transient_outward_K_current_i_sus" name="i_sus" public_interface="out" units="picoA"/>
      <variable name="E_K" public_interface="out" units="millivolt"/>
      <variable initial_value="0.050002" name="g_to" units="nanoS"/>
      <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" public_interface="in" units="millijoule_per_mole_kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="K_c" public_interface="in" units="millimolar"/>
      <variable name="K_i" public_interface="in" units="millimolar"/>
      <variable name="r" private_interface="in" units="dimensionless"/>
      <variable name="s1" private_interface="in" units="dimensionless"/>
      <variable name="s2" private_interface="in" units="dimensionless"/>
      <variable name="s3" private_interface="in" units="dimensionless"/>
      <variable name="CT" public_interface="in" units="dimensionless"/>
      <variable name="PM" public_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>K_c</ci>
                     <ci>K_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_to</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.2</cn>
                     <ci>g_to</ci>
                     <ci>r</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.59</cn>
                           <apply>
                              <power/>
                              <ci>s1</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.41</cn>
                           <apply>
                              <power/>
                              <ci>s2</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.6</cn>
                           <apply>
                              <power/>
                              <ci>s3</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">6</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.4</cn>
                     </apply>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_K</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.35</cn>
                     <ci>g_to</ci>
                     <ci>r</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.59</cn>
                           <apply>
                              <power/>
                              <ci>s1</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.41</cn>
                           <apply>
                              <power/>
                              <ci>s2</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.6</cn>
                           <apply>
                              <power/>
                              <ci>s3</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">6</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.4</cn>
                     </apply>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_K</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>g_to</ci>
                     <ci>r</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.59</cn>
                           <apply>
                              <power/>
                              <ci>s1</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.41</cn>
                           <apply>
                              <power/>
                              <ci>s2</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.6</cn>
                           <apply>
                              <power/>
                              <ci>s3</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">6</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.4</cn>
                     </apply>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_K</ci>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>i_sus</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoS">0.0014</cn>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">70</cn>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoS">0.0024</cn>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">70</cn>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoS">0.001</cn>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">70</cn>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component name="Ca_independent_transient_outward_K_current_r_gate">
      <variable initial_value="0.00006" name="r" public_interface="out" units="dimensionless"/>
      <variable name="alpha_r" units="per_second"/>
      <variable name="beta_r" units="per_second"/>
      <variable name="tau_r" units="second"/>
      <variable name="r_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>alpha_r</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">386.6</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">12</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_r</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">8.011</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">7.2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>r_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>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5.633</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_r</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <plus/>
                     <ci>alpha_r</ci>
                     <ci>beta_r</ci>
                  </apply>
               </apply>
			   <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="second">4<sep/>-4</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>r</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>r_infinity</ci>
                  <ci>r</ci>
               </apply>
               <ci>tau_r</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_independent_transient_outward_K_current_s1_gate">
      <variable initial_value="0.5753" name="s1" public_interface="out" units="dimensionless"/>
      <variable name="tau_s1" units="second"/>
      <variable name="s1_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>s1_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>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">28.29</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">7.06</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_s1</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.5466</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">32.8</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.1</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.0204</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>s1</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>s1_infinity</ci>
                  <ci>s1</ci>
               </apply>
               <ci>tau_s1</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_independent_transient_outward_K_current_s2_gate">
      <variable initial_value="0.39871" name="s2" public_interface="out" units="dimensionless"/>
      <variable name="tau_s2" units="second"/>
      <variable name="s2_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>s2_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>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">28.29</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">7.06</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_s2</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">5.75</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">32.8</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.1</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.45</cn>
                  <apply>
                     <plus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.54</cn>
                           </apply>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.97</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>s2</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>s2_infinity</ci>
                  <ci>s2</ci>
               </apply>
               <ci>tau_s2</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_independent_transient_outward_K_current_s3_gate">
      <variable initial_value="0.57363" name="s3" public_interface="out" units="dimensionless"/>
      <variable name="tau_s3" units="second"/>
      <variable name="s3_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>s3_infinity</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <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>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50.67</cn>
                              </apply>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">27.38</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.666</cn>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.666</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_s3</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">7.5</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">23</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>s3</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>s3_infinity</ci>
                  <ci>s3</ci>
               </apply>
               <ci>tau_s3</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="delayed_rectifier_K_current">
      <variable cmeta:id="delayed_rectifier_K_current_i_Ks" name="i_Ks" public_interface="out" units="picoA"/>
      <variable cmeta:id="delayed_rectifier_K_current_i_Kr" name="i_Kr" public_interface="out" units="picoA"/>
      <variable initial_value="0.0025" name="g_Ks" units="nanoS"/>
      <variable initial_value="0.0035" name="g_Kr" units="nanoS"/>
      <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="z" private_interface="in" units="dimensionless"/>
      <variable name="p_a" private_interface="in" units="dimensionless"/>
      <variable name="p_i" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ks</ci>
            <apply>
               <times/>
               <ci>g_Ks</ci>
               <ci>z</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Kr</ci>
            <apply>
               <times/>
               <ci>g_Kr</ci>
               <ci>p_a</ci>
               <ci>p_i</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="delayed_rectifier_K_current_z_gate">
      <variable initial_value="0.02032" name="z" public_interface="out" units="dimensionless"/>
      <variable name="alpha_z" units="per_second"/>
      <variable name="beta_z" units="per_second"/>
      <variable name="tau_z" units="second"/>
      <variable name="z_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>alpha_z</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1.66</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">69.452</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_z</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">0.3</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">21.826</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>z_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/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.9</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.8</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_z</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <plus/>
                     <ci>alpha_z</ci>
                     <ci>beta_z</ci>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.06</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>z</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>z_infinity</ci>
                  <ci>z</ci>
               </apply>
               <ci>tau_z</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="delayed_rectifier_K_current_pa_gate">
      <variable initial_value="0.00016" name="p_a" public_interface="out" units="dimensionless"/>
      <variable name="alpha_p_a" units="per_second"/>
      <variable name="beta_p_a" units="per_second"/>
      <variable name="tau_p_a" units="second"/>
      <variable name="p_a_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>alpha_p_a</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">9</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">25.371</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_p_a</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1.3</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.026</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>p_a_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>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5.1</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">7.4</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_p_a</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_p_a</ci>
                  <ci>beta_p_a</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>p_a</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>p_a_infinity</ci>
                  <ci>p_a</ci>
               </apply>
               <ci>tau_p_a</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="delayed_rectifier_K_current_pi_gate">
      <variable initial_value="0.76898" name="p_i" public_interface="out" units="dimensionless"/>
      <variable name="alpha_p_i" units="per_second"/>
      <variable name="beta_p_i" units="per_second"/>
      <variable name="tau_p_i" units="second"/>
      <variable name="p_i_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>alpha_p_i</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">100</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">54.645</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_p_i</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">656</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">106.157</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>p_i_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>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">47.3921</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">18.6603</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_p_i</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_p_i</ci>
                  <ci>beta_p_i</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>p_i</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>p_i_infinity</ci>
                  <ci>p_i</ci>
               </apply>
               <ci>tau_p_i</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="inward_rectifier">
      <variable cmeta:id="inward_rectifier_i_K1" name="i_K1" public_interface="out" units="picoA"/>
      <variable initial_value="0.00508" name="g_K1" units="nanoS"/>
      <variable initial_value="0.59" name="KmK1" units="millimolar"/>
      <variable initial_value="1.393" name="steepK1" units="dimensionless"/>
      <variable initial_value="-3.6" name="shiftK1" 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="millijoule_per_mole_kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="K_c" public_interface="in" units="millimolar"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="CT" public_interface="in" units="dimensionless"/>
      <variable name="PM" public_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_K1</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>g_K1</ci>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <ci>E_K</ci>
                        </apply>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>K_c</ci>
                              <apply>
                                 <plus/>
                                 <ci>K_c</ci>
                                 <ci>KmK1</ci>
                              </apply>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>steepK1</ci>
                                 <ci>F</ci>
                                 <apply>
                                    <minus/>
                                    <apply>
                                       <minus/>
                                       <ci>V</ci>
                                       <ci>E_K</ci>
                                    </apply>
                                    <ci>shiftK1</ci>
                                 </apply>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.5</cn>
                        <ci>g_K1</ci>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <ci>E_K</ci>
                        </apply>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>K_c</ci>
                              <apply>
                                 <plus/>
                                 <ci>K_c</ci>
                                 <ci>KmK1</ci>
                              </apply>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>steepK1</ci>
                                 <ci>F</ci>
                                 <apply>
                                    <minus/>
                                    <apply>
                                       <minus/>
                                       <ci>V</ci>
                                       <ci>E_K</ci>
                                    </apply>
                                    <ci>shiftK1</ci>
                                 </apply>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>g_K1</ci>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <ci>E_K</ci>
                        </apply>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>K_c</ci>
                              <apply>
                                 <plus/>
                                 <ci>K_c</ci>
                                 <ci>KmK1</ci>
                              </apply>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>steepK1</ci>
                                 <ci>F</ci>
                                 <apply>
                                    <minus/>
                                    <apply>
                                       <minus/>
                                       <ci>V</ci>
                                       <ci>E_K</ci>
                                    </apply>
                                    <ci>shiftK1</ci>
                                 </apply>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component name="background_currents">
      <variable cmeta:id="background_currents_i_B_Na" name="i_B_Na" public_interface="out" units="picoA"/>
      <variable cmeta:id="background_currents_i_B_Ca" name="i_B_Ca" public_interface="out" units="picoA"/>
      <variable initial_value="6.4e-5" name="g_B_Na" units="nanoS"/>
      <variable initial_value="3.1e-5" name="g_B_Ca" units="nanoS"/>
      <variable name="E_Ca" units="millivolt"/>
      <variable name="E_Na" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="Ca_c" public_interface="in" units="millimolar"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="CT" public_interface="in" units="dimensionless"/>
      <variable name="PM" public_interface="in" units="dimensionless"/>
      <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>Ca_c</ci>
                     <ci>Ca_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_B_Na</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoS">0.00002</cn>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Na</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoS">0.00003</cn>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Na</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>g_B_Na</ci>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Na</ci>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>i_B_Ca</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoS">0.00002</cn>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Ca</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoS">0.00003</cn>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Ca</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>CT</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>PM</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>g_B_Ca</ci>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Ca</ci>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component name="sodium_potassium_pump">
      <variable cmeta:id="sodium_potassium_pump_i_p" name="i_p" public_interface="out" units="picoA"/>
      <variable initial_value="1" name="k_NaK_K" units="millimolar"/>
      <variable initial_value="11" name="k_NaK_Na" units="millimolar"/>
      <variable initial_value="0.06441" name="i_NaK_max" units="picoA"/>
      <variable name="K_c" public_interface="in" units="millimolar"/>
      <variable name="Na_i" public_interface="in" units="millimolar"/>
      <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>i_p</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>i_NaK_max</ci>
                              <ci>K_c</ci>
                           </apply>
                           <apply>
                              <plus/>
                              <ci>K_c</ci>
                              <ci>k_NaK_K</ci>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Na_i</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <ci>Na_i</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                        </apply>
                        <apply>
                           <power/>
                           <ci>k_NaK_Na</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                        </apply>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.6</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">60</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sarcolemmal_calcium_pump_current">
      <variable cmeta:id="sarcolemmal_calcium_pump_current_i_CaP" name="i_CaP" public_interface="out" units="picoA"/>
      <variable initial_value="0.009509" name="i_CaP_max" units="picoA"/>
      <variable initial_value="2e-4" name="k_CaP" units="millimolar"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_CaP</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>i_CaP_max</ci>
                  <ci>Ca_i</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>Ca_i</ci>
                  <ci>k_CaP</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Na_Ca_ion_exchanger_current">
      <variable cmeta:id="Na_Ca_ion_exchanger_current_i_NaCa" name="i_NaCa" public_interface="out" units="picoA"/>
      <variable initial_value="2e-5" name="k_NaCa" units="picoA_per_millimolar_4"/>
      <variable initial_value="3e-4" name="d_NaCa" units="per_millimolar_4"/>
      <variable initial_value="0.45" name="gamma" units="dimensionless"/>
      <variable name="Na_i" public_interface="in" units="millimolar"/>
      <variable name="Na_c" public_interface="in" units="millimolar"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="Ca_c" public_interface="in" units="millimolar"/>
      <variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <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>i_NaCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>k_NaCa</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <apply>
                           <power/>
                           <ci>Na_i</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Ca_c</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>gamma</ci>
                                 <ci>F</ci>
                                 <ci>V</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <power/>
                           <ci>Na_c</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Ca_i</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <ci>gamma</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>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>d_NaCa</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <apply>
                              <power/>
                              <ci>Na_c</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                           <ci>Ca_i</ci>
                        </apply>
                        <apply>
                           <times/>
                           <apply>
                              <power/>
                              <ci>Na_i</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                           </apply>
                           <ci>Ca_c</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_ion_concentrations">
      <variable initial_value="8.4" name="Na_i" public_interface="out" units="millimolar"/>
      <variable initial_value="0.000071" name="Ca_i" public_interface="out" units="millimolar"/>
      <variable initial_value="100" name="K_i" public_interface="out" units="millimolar"/>
      <variable initial_value="1.26e-5" name="Vol_i" public_interface="out" units="nanolitre"/>
      <variable initial_value="5.884e-6" name="Vol_Ca" units="nanolitre"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="i_Na" public_interface="in" units="picoA"/>
      <variable name="i_Ca_L" public_interface="in" units="picoA"/>
      <variable name="i_Ca_T" public_interface="in" units="picoA"/>
      <variable name="i_B_Na" public_interface="in" units="picoA"/>
      <variable name="i_NaCa" public_interface="in" units="picoA"/>
      <variable name="i_p" public_interface="in" units="picoA"/>
      <variable name="i_Kr" public_interface="in" units="picoA"/>
      <variable name="i_Ks" public_interface="in" units="picoA"/>
      <variable name="i_K1" public_interface="in" units="picoA"/>
      <variable name="i_to" public_interface="in" units="picoA"/>
      <variable name="i_sus" public_interface="in" units="picoA"/>
      <variable name="i_CaP" public_interface="in" units="picoA"/>
      <variable name="i_B_Ca" public_interface="in" units="picoA"/>
      <variable name="i_up" public_interface="in" units="picoA"/>
      <variable name="i_rel" public_interface="in" units="picoA"/>
      <variable name="dOCdt" public_interface="in" units="per_second"/>
      <variable name="dOTCdt" public_interface="in" units="per_second"/>
      <variable name="dOTMgCdt" public_interface="in" units="per_second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Na_i</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>i_Na</ci>
                     <ci>i_B_Na</ci>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        <ci>i_p</ci>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        <ci>i_NaCa</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>Vol_i</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_i</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>i_to</ci>
                        <ci>i_sus</ci>
                        <ci>i_K1</ci>
                        <ci>i_Kr</ci>
                        <ci>i_Ks</ci>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>i_p</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>Vol_i</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_i</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>i_Ca_L</ci>
                                 <ci>i_Ca_T</ci>
                                 <ci>i_B_Ca</ci>
                                 <ci>i_CaP</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                                 <ci>i_NaCa</ci>
                              </apply>
                           </apply>
                           <ci>i_up</ci>
                        </apply>
                        <ci>i_rel</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>Vol_Ca</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.08</cn>
                     <ci>dOTCdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.16</cn>
                     <ci>dOTMgCdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.045</cn>
                     <ci>dOCdt</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_Ca_buffering">
      <variable initial_value="0.029108" name="O_C" units="dimensionless"/>
      <variable name="dOCdt" public_interface="out" units="per_second"/>
      <variable initial_value="0.014071" name="O_TC" units="dimensionless"/>
      <variable name="dOTCdt" public_interface="out" units="per_second"/>
      <variable initial_value="0.214036" name="O_TMgC" units="dimensionless"/>
      <variable name="dOTMgCdt" public_interface="out" units="per_second"/>
      <variable initial_value="0.693565" name="O_TMgMg" public_interface="out" units="dimensionless"/>
      <variable initial_value="2.5" name="Mg_i" units="millimolar"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dOCdt</ci>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millimolar_second">200000</cn>
                  <ci>Ca_i</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>O_C</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">476</cn>
                  <ci>O_C</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O_C</ci>
            </apply>
            <ci>dOCdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dOTCdt</ci>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millimolar_second">78400</cn>
                  <ci>Ca_i</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>O_TC</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">392</cn>
                  <ci>O_TC</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O_TC</ci>
            </apply>
            <ci>dOTCdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dOTMgCdt</ci>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millimolar_second">200000</cn>
                  <ci>Ca_i</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <ci>O_TMgC</ci>
                     </apply>
                     <ci>O_TMgMg</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">6.6</cn>
                  <ci>O_TMgC</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O_TMgC</ci>
            </apply>
            <ci>dOTMgCdt</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O_TMgMg</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millimolar_second">2000</cn>
                  <ci>Mg_i</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <ci>O_TMgC</ci>
                     </apply>
                     <ci>O_TMgMg</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">666</cn>
                  <ci>O_TMgMg</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cleft_space_ion_concentrations">
      <variable initial_value="140" name="Na_c" public_interface="out" units="millimolar"/>
      <variable initial_value="2.5" name="Ca_c" public_interface="out" units="millimolar"/>
      <variable initial_value="5" name="K_c" public_interface="out" units="millimolar"/>
      <variable initial_value="0.0000025" name="Vol_c" public_interface="out" units="nanolitre"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="i_p" public_interface="in" units="picoA"/>
      <variable name="i_Kr" public_interface="in" units="picoA"/>
      <variable name="i_Ks" public_interface="in" units="picoA"/>
      <variable name="i_K1" public_interface="in" units="picoA"/>
      <variable name="i_to" public_interface="in" units="picoA"/>
      <variable name="i_sus" public_interface="in" units="picoA"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_c</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>i_to</ci>
                     <ci>i_sus</ci>
                     <ci>i_K1</ci>
                     <ci>i_Kr</ci>
                     <ci>i_Ks</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>i_p</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>Vol_c</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_handling_by_the_SR">
      <variable cmeta:id="Ca_handling_by_the_SR_i_rel" name="i_rel" public_interface="out" units="picoA"/>
      <variable cmeta:id="Ca_handling_by_the_SR_i_up" name="i_up" public_interface="out" units="picoA"/>
      <variable name="i_tr" units="picoA"/>
      <variable initial_value="2.8" name="I_up_max" units="picoA"/>
      <variable initial_value="0.0003" name="k_cyca" units="millimolar"/>
      <variable initial_value="0.5" name="k_srca" units="millimolar"/>
      <variable initial_value="0.4" name="k_xcs" units="dimensionless"/>
      <variable initial_value="200" name="alpha_rel" units="picoA_per_millimolar"/>
      <variable initial_value="0.726776" name="Ca_rel" units="millimolar"/>
      <variable initial_value="0.730866" name="Ca_up" units="millimolar"/>
      <variable initial_value="3.969e-7" name="Vol_up" units="nanolitre"/>
      <variable initial_value="4.4e-8" name="Vol_rel" units="nanolitre"/>
      <variable name="r_act" units="per_second"/>
      <variable name="r_inact" units="per_second"/>
      <variable initial_value="0.465921" name="O_Calse" units="dimensionless"/>
      <variable initial_value="0.288039" name="F1" units="dimensionless"/>
      <variable initial_value="0.002262" name="F2" units="dimensionless"/>
      <variable initial_value="0.612697" name="F3" units="dimensionless"/>
      <variable initial_value="0.01" name="tau_tr" units="second"/>
      <variable initial_value="0.0003" name="k_rel" units="millimolar"/>
      <variable initial_value="0.815" name="k_F3" units="per_second"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O_Calse</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millimolar_second">480</cn>
                  <ci>Ca_rel</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>O_Calse</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">400</cn>
                  <ci>O_Calse</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_rel</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <ci>i_tr</ci>
                     <ci>i_rel</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>Vol_rel</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">31</cn>
                  <apply>
                     <diff/>
                     <bvar>
                        <ci>time</ci>
                     </bvar>
                     <ci>O_Calse</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_up</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>i_up</ci>
                  <ci>i_tr</ci>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <ci>Vol_up</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>F1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_F3</ci>
                  <ci>F3</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>r_act</ci>
                  <ci>F1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>F2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>r_act</ci>
                  <ci>F1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>r_inact</ci>
                  <ci>F2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>F3</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>F2</ci>
                  <ci>r_inact</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_F3</ci>
                  <ci>F3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>r_act</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">240</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.08</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">203.8</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>Ca_i</ci>
                        <apply>
                           <plus/>
                           <ci>Ca_i</ci>
                           <ci>k_rel</ci>
                        </apply>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>r_inact</ci>
            <apply>
               <plus/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">33.96</cn>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">339.6</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>Ca_i</ci>
                        <apply>
                           <plus/>
                           <ci>Ca_i</ci>
                           <ci>k_rel</ci>
                        </apply>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_up</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>I_up_max</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <divide/>
                        <ci>Ca_i</ci>
                        <ci>k_cyca</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <power/>
                              <ci>k_xcs</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                           </apply>
                           <ci>Ca_up</ci>
                        </apply>
                        <ci>k_srca</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>Ca_i</ci>
                        <ci>k_cyca</ci>
                     </apply>
                     <ci>k_cyca</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>k_xcs</ci>
                        <apply>
                           <plus/>
                           <ci>Ca_up</ci>
                           <ci>k_srca</ci>
                        </apply>
                     </apply>
                     <ci>k_srca</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_tr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Ca_up</ci>
                     <ci>Ca_rel</ci>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <ci>F</ci>
                  <ci>Vol_rel</ci>
               </apply>
               <ci>tau_tr</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_rel</ci>
            <apply>
               <times/>
               <ci>alpha_rel</ci>
               <apply>
                  <power/>
                  <apply>
                     <divide/>
                     <ci>F2</ci>
                     <apply>
                        <plus/>
                        <ci>F2</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.25</cn>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
               </apply>
               <apply>
                  <minus/>
                  <ci>Ca_rel</ci>
                  <ci>Ca_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <group>
      <relationship_ref relationship="containment"/>
      <component_ref component="membrane">
         <component_ref component="sodium_current">
            <component_ref component="sodium_current_m_gate"/>
            <component_ref component="sodium_current_h1_gate"/>
            <component_ref component="sodium_current_h2_gate"/>
         </component_ref>
         <component_ref component="L_type_Ca_channel">
            <component_ref component="L_type_Ca_channel_d_L_gate"/>
            <component_ref component="L_type_Ca_channel_f_L_gate"/>
         </component_ref>
         <component_ref component="T_type_Ca_channel">
            <component_ref component="T_type_Ca_channel_d_T_gate"/>
            <component_ref component="T_type_Ca_channel_f_T_gate"/>
         </component_ref>
         <component_ref component="Ca_independent_transient_outward_K_current">
            <component_ref component="Ca_independent_transient_outward_K_current_r_gate"/>
            <component_ref component="Ca_independent_transient_outward_K_current_s1_gate"/>
            <component_ref component="Ca_independent_transient_outward_K_current_s2_gate"/>
            <component_ref component="Ca_independent_transient_outward_K_current_s3_gate"/>
         </component_ref>
         <component_ref component="delayed_rectifier_K_current">
            <component_ref component="delayed_rectifier_K_current_z_gate"/>
            <component_ref component="delayed_rectifier_K_current_pa_gate"/>
            <component_ref component="delayed_rectifier_K_current_pi_gate"/>
         </component_ref>
         <component_ref component="inward_rectifier"/>
         <component_ref component="background_currents"/>
         <component_ref component="sodium_potassium_pump"/>
         <component_ref component="sarcolemmal_calcium_pump_current"/>
         <component_ref component="Na_Ca_ion_exchanger_current"/>
         <component_ref component="Ca_handling_by_the_SR"/>
         <component_ref component="intracellular_ion_concentrations"/>
         <component_ref component="intracellular_Ca_buffering"/>
         <component_ref component="cleft_space_ion_concentrations"/>
      </component_ref>
   </group>
   <group>
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="sodium_current">
         <component_ref component="sodium_current_m_gate"/>
         <component_ref component="sodium_current_h1_gate"/>
         <component_ref component="sodium_current_h2_gate"/>
      </component_ref>
      <component_ref component="L_type_Ca_channel">
         <component_ref component="L_type_Ca_channel_d_L_gate"/>
         <component_ref component="L_type_Ca_channel_f_L_gate"/>
      </component_ref>
      <component_ref component="T_type_Ca_channel">
         <component_ref component="T_type_Ca_channel_d_T_gate"/>
         <component_ref component="T_type_Ca_channel_f_T_gate"/>
      </component_ref>
      <component_ref component="Ca_independent_transient_outward_K_current">
         <component_ref component="Ca_independent_transient_outward_K_current_r_gate"/>
         <component_ref component="Ca_independent_transient_outward_K_current_s1_gate"/>
         <component_ref component="Ca_independent_transient_outward_K_current_s2_gate"/>
         <component_ref component="Ca_independent_transient_outward_K_current_s3_gate"/>
      </component_ref>
      <component_ref component="delayed_rectifier_K_current">
         <component_ref component="delayed_rectifier_K_current_z_gate"/>
         <component_ref component="delayed_rectifier_K_current_pa_gate"/>
         <component_ref component="delayed_rectifier_K_current_pi_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="sodium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="CT" variable_2="CT"/>
      <map_variables variable_1="PM" variable_2="PM"/>
   </connection>
   <connection>
      <map_components component_1="T_type_Ca_channel" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Ca_independent_transient_outward_K_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="CT" variable_2="CT"/>
      <map_variables variable_1="PM" variable_2="PM"/>
   </connection>
   <connection>
      <map_components component_1="delayed_rectifier_K_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="inward_rectifier" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="CT" variable_2="CT"/>
      <map_variables variable_1="PM" variable_2="PM"/>
   </connection>
   <connection>
      <map_components component_1="background_currents" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="CT" variable_2="CT"/>
      <map_variables variable_1="PM" variable_2="PM"/>
   </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_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_ion_exchanger_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Ca_handling_by_the_SR" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_Ca_buffering" 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="cleft_space_ion_concentrations" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="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="L_type_Ca_channel"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="T_type_Ca_channel"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="Ca_independent_transient_outward_K_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_to" variable_2="i_to"/>
      <map_variables variable_1="i_sus" variable_2="i_sus"/>
      <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="inward_rectifier"/>
      <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="delayed_rectifier_K_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="background_currents"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_B_Na" variable_2="i_B_Na"/>
      <map_variables variable_1="i_B_Ca" variable_2="i_B_Ca"/>
      <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_p" variable_2="i_p"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sarcolemmal_calcium_pump_current"/>
      <map_variables variable_1="i_CaP" variable_2="i_CaP"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="Na_Ca_ion_exchanger_current"/>
      <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="intracellular_ion_concentrations"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="Ca_handling_by_the_SR"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="sodium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
   </connection>
   <connection>
      <map_components component_1="sodium_current" component_2="background_currents"/>
      <map_variables variable_1="E_Na" variable_2="E_Na"/>
   </connection>
   <connection>
      <map_components component_1="sodium_current" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="Na_c" variable_2="Na_c"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
   </connection>
   <connection>
      <map_components component_1="T_type_Ca_channel" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
   </connection>
   <connection>
      <map_components component_1="Ca_independent_transient_outward_K_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_to" variable_2="i_to"/>
      <map_variables variable_1="i_sus" variable_2="i_sus"/>
      <map_variables variable_1="K_i" variable_2="K_i"/>
   </connection>
   <connection>
      <map_components component_1="Ca_independent_transient_outward_K_current" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="i_to" variable_2="i_to"/>
      <map_variables variable_1="i_sus" variable_2="i_sus"/>
      <map_variables variable_1="K_c" variable_2="K_c"/>
   </connection>
   <connection>
      <map_components component_1="Ca_independent_transient_outward_K_current" component_2="inward_rectifier"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="Ca_independent_transient_outward_K_current" component_2="delayed_rectifier_K_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="delayed_rectifier_K_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
   </connection>
   <connection>
      <map_components component_1="delayed_rectifier_K_current" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
   </connection>
   <connection>
      <map_components component_1="inward_rectifier" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
   </connection>
   <connection>
      <map_components component_1="inward_rectifier" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
      <map_variables variable_1="K_c" variable_2="K_c"/>
   </connection>
   <connection>
      <map_components component_1="background_currents" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_B_Na" variable_2="i_B_Na"/>
      <map_variables variable_1="i_B_Ca" variable_2="i_B_Ca"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="background_currents" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="Ca_c" variable_2="Ca_c"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_p" variable_2="i_p"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="i_p" variable_2="i_p"/>
      <map_variables variable_1="K_c" variable_2="K_c"/>
   </connection>
   <connection>
      <map_components component_1="sarcolemmal_calcium_pump_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_CaP" variable_2="i_CaP"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_ion_exchanger_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_ion_exchanger_current" component_2="cleft_space_ion_concentrations"/>
      <map_variables variable_1="Ca_c" variable_2="Ca_c"/>
      <map_variables variable_1="Na_c" variable_2="Na_c"/>
   </connection>
   <connection>
      <map_components component_1="Ca_handling_by_the_SR" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_rel" variable_2="i_rel"/>
      <map_variables variable_1="i_up" variable_2="i_up"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_Ca_buffering" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="dOCdt" variable_2="dOCdt"/>
      <map_variables variable_1="dOTCdt" variable_2="dOTCdt"/>
      <map_variables variable_1="dOTMgCdt" variable_2="dOTMgCdt"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="sodium_current" component_2="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>
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   <connection>
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      <map_variables variable_1="s3" variable_2="s3"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="delayed_rectifier_K_current" component_2="delayed_rectifier_K_current_z_gate"/>
      <map_variables variable_1="z" variable_2="z"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="delayed_rectifier_K_current" component_2="delayed_rectifier_K_current_pa_gate"/>
      <map_variables variable_1="p_a" variable_2="p_a"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="delayed_rectifier_K_current" component_2="delayed_rectifier_K_current_pi_gate"/>
      <map_variables variable_1="p_i" variable_2="p_i"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   
     
   
   
   
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