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<article>
  <articleinfo>
  <title>Clancy-Rudy Markovian Model of Ion Channels 2001</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
            This CellML model represents the INaKPQ mutant epicardial cell.  For more details on the curation status of this model please see this <ulink url="Clancy_Rudy_Mutations.pdf">separate notes document</ulink>.
</para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para> 
ABSTRACT:  BACKGROUND: A variety of mutations in HERG, the major subunit of the rapidly activating component of the cardiac delayed rectifier I(Kr), have been found to underlie the congenital Long-QT syndrome, LQT2. LQT2 may give rise to severe arrhythmogenic phenotypes leading to sudden cardiac death. OBJECTIVE: We attempt to elucidate the mechanisms by which heterogeneous LQT2 genotypes can lead to prolongation of the action potential duration (APD) and consequently the QT interval on the ECG. METHODS: We develop Markovian models of wild-type (WT) and mutant I(Kr) channels and incorporate these models into a comprehensive model of the cardiac ventricular cell. RESULTS: Using this virtual transgenic cell model, we describe the effects of HERG mutations on the cardiac ventricular action potential (AP) and provide insight into the mechanism by which each defect results in a net loss of repolarizing current and prolongation of APD. CONCLUSIONS: This study demonstrates which mutations can prolong APD sufficiently to generate early afterdepolarizations (EADs), which may trigger life-threatening arrhythmias. The severity of the phenotype is shown to depend on the specific kinetic changes and how they affect I(Kr) during the time course of the action potential. Clarifying how defects in HERG can lead to impaired cellular electrophysiology can improve our understanding of the link between channel structure and cellular function.
</para>

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

<para>
Cellular consequences of HERG mutations in the long QT syndrome: precursors to sudden cardiac death, Colleen E. Clancy and Yoram Rudy, 2001, 
            <emphasis>Cardiovascular Research</emphasis>, 50, 301-313.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=11334834&amp;dopt=Abstract">PubMed ID: 11334834</ulink>
</para>


<informalfigure float="0" id="fig_cell_diagram">
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  <imageobject>
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      <title>cell diagram of the Clancy-Rudy model showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
    </objectinfo>
    <imagedata fileref="clancy_2001.png"/>
  </imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Clancy-Rudy model.</caption>
</informalfigure>


</sect1>
</article>
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               </apply>
               <apply>
                  <times/>
                  <ci>beta_4</ci>
                  <ci>P_IS</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_11</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">1.25</cn>
                  <cn cellml:units="per_second">3802</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.1027</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                           </apply>
                           <cn cellml:units="millivolt">17</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.2</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                           </apply>
                           <cn cellml:units="millivolt">150</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_12</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">1.25</cn>
                  <cn cellml:units="per_second">3802</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.1027</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                           </apply>
                           <cn cellml:units="millivolt">15</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.23</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                           </apply>
                           <cn cellml:units="millivolt">150</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_13</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">1.25</cn>
                  <cn cellml:units="per_second">3802</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.1027</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                           </apply>
                           <cn cellml:units="millivolt">12</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.25</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                           </apply>
                           <cn cellml:units="millivolt">150</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_11</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">191.7</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="millivolt">20.3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_12</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">200</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">5</cn>
                        </apply>
                     </apply>
                     <cn cellml:units="millivolt">20.3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_13</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">220</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">10</cn>
                        </apply>
                     </apply>
                     <cn cellml:units="millivolt">20.3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_2</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">9178</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <ci>V</ci>
                     <cn cellml:units="millivolt">100</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_2</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>alpha_13</ci>
                  <ci>alpha_2</ci>
                  <ci>alpha_3</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_13</ci>
                  <ci>beta_3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_3</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">20</cn>
               <cn cellml:units="per_second">0.00000037933</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="millivolt">5.2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_3</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">2</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="per_second">8.4</cn>
                  <apply>
                     <times/>
                     <cn cellml:units="per_millivolt">0.02</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_4</ci>
            <apply>
               <divide/>
               <ci>alpha_2</ci>
               <cn cellml:units="dimensionless">100</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_4</ci>
            <ci>alpha_3</ci>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel">
      <variable name="i_Ca_L" units="microA_per_microF" public_interface="out"/>
      <variable name="i_CaCa" units="microA_per_microF" public_interface="out"/>
      <variable name="i_CaK" units="microA_per_microF" public_interface="out"/>
      <variable name="i_CaNa" units="microA_per_microF" public_interface="out"/>
      <variable name="gamma_Nai" units="dimensionless" initial_value="0.75" public_interface="out"/>
      <variable name="gamma_Nao" units="dimensionless" initial_value="0.75" public_interface="out"/>
      <variable name="gamma_Ki" units="dimensionless" initial_value="0.75" public_interface="out"/>
      <variable name="gamma_Ko" units="dimensionless" initial_value="0.75" public_interface="out"/>
      <variable name="I_CaCa" units="microA_per_microF"/>
      <variable name="I_CaK" units="microA_per_microF"/>
      <variable name="I_CaNa" units="microA_per_microF"/>
      <variable name="P_Ca" units="cm_per_second" initial_value="0.00054"/>
      <variable name="P_Na" units="cm_per_second" initial_value="6.75e-7"/>
      <variable name="P_K" units="cm_per_second" initial_value="1.93e-7"/>
      <variable name="gamma_Cai" units="dimensionless" initial_value="1"/>
      <variable name="gamma_Cao" units="dimensionless" initial_value="0.341"/>
      <variable name="time" units="second" public_interface="in" private_interface="out"/>
      <variable name="V" units="millivolt" public_interface="in" private_interface="out"/>
      <variable name="Cai" units="millimolar" public_interface="in" private_interface="out"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="Cao" units="millimolar" public_interface="in"/>
      <variable name="Nao" units="millimolar" public_interface="in"/>
      <variable name="Ko" units="millimolar" public_interface="in"/>
      <variable name="Nai" units="millimolar" public_interface="in"/>
      <variable name="Ki" units="millimolar" public_interface="in"/>
      <variable name="d" units="dimensionless" private_interface="in"/>
      <variable name="f" units="dimensionless" private_interface="in"/>
      <variable name="f_Ca" units="dimensionless" private_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_CaCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_Ca</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_Cai</ci>
                        <ci>Cai</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">2</cn>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma_Cao</ci>
                        <ci>Cao</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_CaNa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_Na</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_Nai</ci>
                        <ci>Nai</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">1</cn>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma_Nao</ci>
                        <ci>Nao</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_CaK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_K</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_Ki</ci>
                        <ci>Ki</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">1</cn>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma_Ko</ci>
                        <ci>Ko</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_CaCa</ci>
            <apply>
               <times/>
               <ci>d</ci>
               <ci>f</ci>
               <ci>f_Ca</ci>
               <ci>I_CaCa</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_CaNa</ci>
            <apply>
               <times/>
               <ci>d</ci>
               <ci>f</ci>
               <ci>f_Ca</ci>
               <ci>I_CaNa</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_CaK</ci>
            <apply>
               <times/>
               <ci>d</ci>
               <ci>f</ci>
               <ci>f_Ca</ci>
               <ci>I_CaK</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_L</ci>
            <apply>
               <plus/>
               <ci>i_CaCa</ci>
               <ci>i_CaK</ci>
               <ci>i_CaNa</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_d_gate">
      <variable name="d" units="dimensionless" initial_value="3.210618e-6" public_interface="out"/>
      <variable name="alpha_d" units="per_second"/>
      <variable name="beta_d" units="per_second"/>
      <variable name="d_infinity" units="dimensionless"/>
      <variable name="tau_d" units="second"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="E0_d" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_d</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn cellml:units="millivolt">10</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>d_infinity</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>E0_d</ci>
                        </apply>
                        <cn cellml:units="millivolt">6.24</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_d</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <cn cellml:units="second">0.001</cn>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.035</cn>
                        <cn cellml:units="dimensionless">6.24</cn>
                     </apply>
                  </apply>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_d</ci>
                     </apply>
                     <cn cellml:units="millivolt" type="e-notation">1<sep/>-5</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.001</cn>
                        <ci>d_infinity</ci>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <minus/>
                                    <ci>E0_d</ci>
                                 </apply>
                                 <cn cellml:units="millivolt">6.24</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="per_millivolt_second">0.035</cn>
                        <ci>E0_d</ci>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_d</ci>
            <apply>
               <divide/>
               <ci>d_infinity</ci>
               <ci>tau_d</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_d</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>d_infinity</ci>
               </apply>
               <ci>tau_d</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_d</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>d</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_d</ci>
                  <ci>d</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_f_gate">
      <variable name="f" units="dimensionless" initial_value="0.999837" public_interface="out"/>
      <variable name="alpha_f" units="per_second"/>
      <variable name="beta_f" units="per_second"/>
      <variable name="f_infinity" units="dimensionless"/>
      <variable name="tau_f" units="second"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>f_infinity</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">32</cn>
                           </apply>
                           <cn cellml:units="millivolt">8</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.6</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <cn cellml:units="millivolt">50</cn>
                              <ci>V</ci>
                           </apply>
                           <cn cellml:units="millivolt">20</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_f</ci>
            <apply>
               <divide/>
               <cn cellml:units="second">0.001</cn>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.0197</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <minus/>
                           <apply>
                              <power/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="per_millivolt">0.0337</cn>
                                 <apply>
                                    <plus/>
                                    <ci>V</ci>
                                    <cn cellml:units="millivolt">10</cn>
                                 </apply>
                              </apply>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">0.02</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_f</ci>
            <apply>
               <divide/>
               <ci>f_infinity</ci>
               <ci>tau_f</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_f</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>f_infinity</ci>
               </apply>
               <ci>tau_f</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_f</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>f</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_f</ci>
                  <ci>f</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_f_Ca_gate">
      <variable name="f_Ca" units="dimensionless" public_interface="out"/>
      <variable name="Km_Ca" units="millimolar" initial_value="0.0006"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="Cai" units="millimolar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>f_Ca</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>Cai</ci>
                     <ci>Km_Ca</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="T_type_Ca_channel">
      <variable name="i_Ca_T" units="microA_per_microF" public_interface="out"/>
      <variable name="g_CaT" units="milliS_per_microF" initial_value="0.05"/>
      <variable name="E_Ca" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in" private_interface="out"/>
      <variable name="V" units="millivolt" public_interface="in" private_interface="out"/>
      <variable name="b" units="dimensionless" private_interface="in"/>
      <variable name="g" units="dimensionless" private_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ca_T</ci>
            <apply>
               <times/>
               <ci>g_CaT</ci>
               <ci>b</ci>
               <ci>b</ci>
               <ci>g</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="T_type_Ca_channel_b_gate">
      <variable name="b" units="dimensionless" initial_value="0.000970231" public_interface="out"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="b_inf" units="dimensionless"/>
      <variable name="tau_b" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>b_inf</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">14</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">10.8</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_b</ci>
            <apply>
               <plus/>
               <cn cellml:units="second">0.0037</cn>
               <apply>
                  <divide/>
                  <cn cellml:units="second">0.0061</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">25</cn>
                           </apply>
                           <cn cellml:units="millivolt">4.5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>b</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>b_inf</ci>
                  <ci>b</ci>
               </apply>
               <ci>tau_b</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="T_type_Ca_channel_g_gate">
      <variable name="g" units="dimensionless" initial_value="0.994305" public_interface="out"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="g_inf" units="dimensionless"/>
      <variable name="tau_g" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>g_inf</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">60</cn>
                        </apply>
                        <cn cellml:units="millivolt">5.6</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_g</ci>
            <piecewise>
               <piece>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="second">0.000875</cn>
                        </apply>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="second">0.012</cn>
                  </apply>
                  <apply>
                     <leq/>
                     <ci>V</ci>
                     <cn cellml:units="millivolt">0</cn>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="second">0.012</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>g</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>g_inf</ci>
                  <ci>g</ci>
               </apply>
               <ci>tau_g</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="rapid_delayed_rectifier_potassium_current">
      <variable name="i_Kr" units="microA_per_microF" public_interface="out"/>
      <variable name="g_Kr" units="milliS_per_microF"/>
      <variable name="E_Kr" units="millivolt"/>
      <variable name="time" units="second" public_interface="in" private_interface="out"/>
      <variable name="V" units="millivolt" public_interface="in" private_interface="out"/>
      <variable name="Ko" units="millimolar" public_interface="in" private_interface="out"/>
      <variable name="Ki" units="millimolar" public_interface="in"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="P_O" units="dimensionless" private_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Kr</ci>
            <apply>
               <times/>
               <ci>g_Kr</ci>
               <ci>P_O</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Kr</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>g_Kr</ci>
            <apply>
               <times/>
               <cn cellml:units="milliS_per_microF">0.0135</cn>
               <apply>
                  <power/>
                  <ci>Ko</ci>
                  <cn cellml:units="dimensionless">0.59</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>E_Kr</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <ci>F</ci>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Ko</ci>
                     <ci>Ki</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Kr_channel_states">
      <variable name="P_O" units="dimensionless" initial_value="0.000001" public_interface="out"/>
      <variable name="P_C1" units="dimensionless" initial_value="0.000001"/>
      <variable name="P_C2" units="dimensionless" initial_value="0.000001"/>
      <variable name="P_C3" units="dimensionless" initial_value="0.000001"/>
      <variable name="P_I" units="dimensionless" initial_value="0.000001"/>
      <variable name="alpha" units="per_second"/>
      <variable name="beta" units="per_second"/>
      <variable name="alpha_in" units="per_second" initial_value="2172"/>
      <variable name="beta_in" units="per_second" initial_value="1077"/>
      <variable name="alpha_alpha" units="per_second"/>
      <variable name="beta_beta" units="per_second"/>
      <variable name="alpha_i" units="per_second"/>
      <variable name="beta_i" units="per_second"/>
      <variable name="mu" units="per_second"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="Ko" units="millimolar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_C3</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>beta</ci>
                  <ci>P_C2</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha</ci>
                  <ci>P_C3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_C2</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>beta</ci>
                        <ci>alpha_in</ci>
                     </apply>
                  </apply>
                  <ci>P_C2</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha</ci>
                  <ci>P_C3</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_in</ci>
                  <ci>P_C1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_C1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>beta_in</ci>
                        <ci>alpha_alpha</ci>
                        <ci>alpha_alpha</ci>
                     </apply>
                  </apply>
                  <ci>P_C1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha_in</ci>
                  <ci>P_C2</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_beta</ci>
                  <ci>P_O</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>mu</ci>
                  <ci>P_I</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_O</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>beta_beta</ci>
                        <ci>beta_i</ci>
                     </apply>
                  </apply>
                  <ci>P_O</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha_alpha</ci>
                  <ci>P_C1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha_i</ci>
                  <ci>P_I</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_I</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>mu</ci>
                        <ci>alpha_i</ci>
                     </apply>
                  </apply>
                  <ci>P_I</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha_alpha</ci>
                  <ci>P_C1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_i</ci>
                  <ci>P_O</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">55.5</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.05547153</cn>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <cn cellml:units="millivolt">12</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">2.357</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">0.036588</cn>
                     </apply>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_alpha</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">65.5</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.05547153</cn>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <cn cellml:units="millivolt">36</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_beta</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">2.9357</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">0.02158</cn>
                     </apply>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">439</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">0.02352</cn>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">25</cn>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="micromolar">4.5</cn>
               </apply>
               <ci>Ko</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_i</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">656</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.000942</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <apply>
                     <divide/>
                     <cn cellml:units="micromolar">4.5</cn>
                     <ci>Ko</ci>
                  </apply>
                  <cn cellml:units="dimensionless">0.3</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>alpha_i</ci>
                  <ci>beta_beta</ci>
                  <ci>alpha_alpha</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha_alpha</ci>
                  <ci>beta_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_delayed_rectifier_potassium_current">
      <variable name="i_Ks" units="microA_per_microF" public_interface="out"/>
      <variable name="g_Ks" units="milliS_per_microF"/>
      <variable name="E_Ks" units="millivolt"/>
      <variable name="PNaK" units="dimensionless" initial_value="0.01833"/>
      <variable name="time" units="second" public_interface="in" private_interface="out"/>
      <variable name="V" units="millivolt" public_interface="in" private_interface="out"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="Ko" units="millimolar" public_interface="in"/>
      <variable name="Ki" units="millimolar" public_interface="in"/>
      <variable name="Nao" units="millimolar" public_interface="in"/>
      <variable name="Nai" units="millimolar" public_interface="in"/>
      <variable name="Cai" units="millimolar" public_interface="in"/>
      <variable name="xs1" units="dimensionless" private_interface="in"/>
      <variable name="xs2" units="dimensionless" private_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Ks</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <ci>F</ci>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>Ko</ci>
                        <apply>
                           <times/>
                           <ci>PNaK</ci>
                           <ci>Nao</ci>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Ki</ci>
                        <apply>
                           <times/>
                           <ci>PNaK</ci>
                           <ci>Nai</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>g_Ks</ci>
            <apply>
               <times/>
               <cn cellml:units="milliS_per_cm2">0.433</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">0.6</cn>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <cn cellml:units="millimolar" type="e-notation">3.8<sep/>-5</cn>
                              <ci>Cai</ci>
                           </apply>
                           <cn cellml:units="dimensionless">1.4</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ks</ci>
            <apply>
               <times/>
               <ci>g_Ks</ci>
               <ci>xs1</ci>
               <ci>xs2</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ks</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_delayed_rectifier_potassium_current_xs1_gate">
      <variable name="xs1" units="dimensionless" initial_value="0.00445683" public_interface="out"/>
      <variable name="xs1_infinity" units="dimensionless"/>
      <variable name="tau_xs1" units="second"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>xs1_infinity</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">1.5</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">16.7</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_xs1</ci>
            <apply>
               <divide/>
               <cn cellml:units="second">0.001</cn>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless" type="e-notation">7.19<sep/>-5</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">30</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="dimensionless">0.148</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="millivolt">30</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.000131</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">30</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">0.0687</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="millivolt">30</cn>
                              </apply>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xs1</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xs1_infinity</ci>
                  <ci>xs1</ci>
               </apply>
               <ci>tau_xs1</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_delayed_rectifier_potassium_current_xs2_gate">
      <variable name="xs2" units="dimensionless" initial_value="0.00445683" public_interface="out"/>
      <variable name="xs2_infinity" units="dimensionless"/>
      <variable name="tau_xs2" units="second"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>xs2_infinity</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">1.5</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">16.7</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_xs2</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">4</cn>
                  <cn cellml:units="second">0.001</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless" type="e-notation">7.19<sep/>-5</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">30</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="dimensionless">0.148</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="millivolt">30</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.000131</cn>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">30</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">0.0687</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="millivolt">30</cn>
                              </apply>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xs2</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>xs2_infinity</ci>
                  <ci>xs2</ci>
               </apply>
               <ci>tau_xs2</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_independent_potassium_current">
      <variable name="i_K1" units="microA_per_microF" public_interface="out"/>
      <variable name="E_K" units="millivolt" public_interface="out" private_interface="out"/>
      <variable name="g_K1" units="milliS_per_cm2"/>
      <variable name="time" units="second" public_interface="in" private_interface="out"/>
      <variable name="V" units="millivolt" public_interface="in" private_interface="out"/>
      <variable name="Ko" units="millimolar" public_interface="in"/>
      <variable name="Ki" units="millimolar" public_interface="in"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="K1_infinity" units="dimensionless" private_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>g_K1</ci>
            <apply>
               <times/>
               <cn cellml:units="milliS_per_microF">0.75</cn>
               <apply>
                  <root/>
                  <apply>
                     <divide/>
                     <ci>Ko</ci>
                     <cn cellml:units="millimolar">5.4</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>E_K</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <ci>F</ci>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Ko</ci>
                     <ci>Ki</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_K1</ci>
            <apply>
               <times/>
               <ci>g_K1</ci>
               <ci>K1_infinity</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_independent_potassium_current_K1_gate">
      <variable name="K1_infinity" units="dimensionless" public_interface="out"/>
      <variable name="alpha_K1" units="per_second"/>
      <variable name="beta_K1" units="per_second"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="E_K" units="millivolt" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_K1</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_second">1020</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_millivolt">0.2385</cn>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <ci>E_K</ci>
                           </apply>
                           <cn cellml:units="millivolt">59.215</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_K1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">1000</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_second">0.49124</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">0.08032</cn>
                              <apply>
                                 <plus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <ci>E_K</ci>
                                 </apply>
                                 <cn cellml:units="millivolt">5.476</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">0.06175</cn>
                           <apply>
                              <minus/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <ci>E_K</ci>
                              </apply>
                              <cn cellml:units="millivolt">594.31</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="per_millivolt">0.5143</cn>
                        </apply>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <ci>E_K</ci>
                           </apply>
                           <cn cellml:units="millivolt">4.753</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K1_infinity</ci>
            <apply>
               <divide/>
               <ci>alpha_K1</ci>
               <apply>
                  <plus/>
                  <ci>alpha_K1</ci>
                  <ci>beta_K1</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="plateau_potassium_current">
      <variable name="i_Kp" units="microA_per_microF" public_interface="out"/>
      <variable name="g_Kp" units="milliS_per_microF" initial_value="0.00552"/>
      <variable name="Kp" units="dimensionless"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="E_K" units="millivolt" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Kp</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <cn cellml:units="millivolt">7.488</cn>
                           <ci>V</ci>
                        </apply>
                        <cn cellml:units="millivolt">5.98</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Kp</ci>
            <apply>
               <times/>
               <ci>g_Kp</ci>
               <ci>Kp</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_activated_potassium_current">
      <variable name="i_K_Na" units="microA_per_microF" public_interface="out"/>
      <variable name="g_K_Na" units="milliS_per_microF"/>
      <variable name="nKNa" units="dimensionless" initial_value="2.8"/>
      <variable name="pona" units="dimensionless"/>
      <variable name="pov" units="dimensionless"/>
      <variable name="kdKNa" units="millimolar" initial_value="66"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="Nai" units="millimolar" public_interface="in"/>
      <variable name="E_K" units="millivolt" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>g_K_Na</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">0</cn>
               <cn cellml:units="milliS_per_microF">0.12848</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pona</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">0.85</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>kdKNa</ci>
                        <ci>Nai</ci>
                     </apply>
                     <ci>nKNa</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pov</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">0.8</cn>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.65</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">125</cn>
                           </apply>
                           <cn cellml:units="millivolt">15</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_K_Na</ci>
            <apply>
               <times/>
               <ci>g_K_Na</ci>
               <ci>pona</ci>
               <ci>pov</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="ATP_sensitive_potassium_current">
      <variable name="i_K_ATP" units="microA_per_microF" public_interface="out"/>
      <variable name="g_K_ATP" units="milliS_per_microF"/>
      <variable name="i_K_ATP_on" units="dimensionless" initial_value="1"/>
      <variable name="nATP" units="dimensionless" initial_value="0.24"/>
      <variable name="nicholsarea" units="dimensionless" initial_value="5e-5"/>
      <variable name="ATPi" units="millimolar" initial_value="3"/>
      <variable name="hATP" units="dimensionless" initial_value="2"/>
      <variable name="kATP" units="millimolar" initial_value="0.00025"/>
      <variable name="pATP" units="dimensionless"/>
      <variable name="GKbaraATP" units="milliS_per_microF"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="Ko" units="millimolar" public_interface="in"/>
      <variable name="E_K" units="millivolt" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>g_K_ATP</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>i_K_ATP_on</ci>
                  <cn cellml:units="milliS_per_microF">0.000193</cn>
               </apply>
               <ci>nicholsarea</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pATP</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>ATPi</ci>
                        <ci>kATP</ci>
                     </apply>
                     <ci>hATP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>GKbaraATP</ci>
            <apply>
               <times/>
               <ci>g_K_ATP</ci>
               <ci>pATP</ci>
               <apply>
                  <power/>
                  <apply>
                     <divide/>
                     <ci>Ko</ci>
                     <cn cellml:units="dimensionless">4</cn>
                  </apply>
                  <ci>nATP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_K_ATP</ci>
            <apply>
               <times/>
               <ci>GKbaraATP</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_current">
      <variable name="i_to" units="microA_per_microF" public_interface="out"/>
      <variable name="g_to" units="milliS_per_microF"/>
      <variable name="E_K" units="millivolt" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in" private_interface="out"/>
      <variable name="time" units="second" public_interface="in" private_interface="out"/>
      <variable name="rvdv" units="dimensionless"/>
      <variable name="zdv" units="dimensionless" private_interface="in"/>
      <variable name="ydv" units="dimensionless" private_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>g_to</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">0</cn>
               <cn cellml:units="milliS_per_microF">0.5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rvdv</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <ci>V</ci>
                  <cn cellml:units="millivolt">100</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_to</ci>
            <apply>
               <times/>
               <ci>g_to</ci>
               <apply>
                  <power/>
                  <ci>zdv</ci>
                  <cn cellml:units="dimensionless">3</cn>
               </apply>
               <ci>ydv</ci>
               <ci>rvdv</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_current_zdv_gate">
      <variable name="zdv" units="dimensionless" initial_value="0.5" public_interface="out"/>
      <variable name="alpha_zdv" units="per_second"/>
      <variable name="beta_zdv" units="per_second"/>
      <variable name="tau_zdv" units="second"/>
      <variable name="zdv_ss" units="dimensionless"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_zdv</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">10000</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">40</cn>
                        </apply>
                        <cn cellml:units="millivolt">25</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">40</cn>
                        </apply>
                        <cn cellml:units="millivolt">25</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_zdv</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">10000</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">90</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">25</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">90</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">25</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_zdv</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_zdv</ci>
                  <ci>beta_zdv</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>zdv_ss</ci>
            <apply>
               <divide/>
               <ci>alpha_zdv</ci>
               <apply>
                  <plus/>
                  <ci>alpha_zdv</ci>
                  <ci>beta_zdv</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>zdv</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>zdv_ss</ci>
                  <ci>zdv</ci>
               </apply>
               <ci>tau_zdv</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_current_ydv_gate">
      <variable name="ydv" units="dimensionless" initial_value="0.5" public_interface="out"/>
      <variable name="alpha_ydv" units="per_second"/>
      <variable name="beta_ydv" units="per_second"/>
      <variable name="tau_ydv" units="second"/>
      <variable name="ydv_ss" units="dimensionless"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_ydv</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_second">15</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">60</cn>
                        </apply>
                        <cn cellml:units="millivolt">5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_ydv</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">100</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">25</cn>
                        </apply>
                        <cn cellml:units="millivolt">5</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">25</cn>
                        </apply>
                        <cn cellml:units="millivolt">5</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_ydv</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <ci>alpha_ydv</ci>
                  <ci>beta_ydv</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ydv_ss</ci>
            <apply>
               <divide/>
               <ci>alpha_ydv</ci>
               <apply>
                  <plus/>
                  <ci>alpha_ydv</ci>
                  <ci>beta_ydv</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ydv</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>ydv_ss</ci>
                  <ci>ydv</ci>
               </apply>
               <ci>tau_ydv</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sarcolemmal_calcium_pump">
      <variable name="i_p_Ca" units="microA_per_microF" public_interface="out"/>
      <variable name="K_mpCa" units="millimolar" initial_value="0.0005"/>
      <variable name="I_pCa" units="microA_per_microF" initial_value="1.15"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="Cai" units="millimolar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_p_Ca</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>I_pCa</ci>
                  <ci>Cai</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_mpCa</ci>
                  <ci>Cai</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_background_current">
      <variable name="i_Na_b" units="microA_per_microF" public_interface="out"/>
      <variable name="g_Nab" units="milliS_per_microF" initial_value="0.004"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="E_Na" units="millivolt" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Na_b</ci>
            <apply>
               <times/>
               <ci>g_Nab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="calcium_background_current">
      <variable name="i_Ca_b" units="microA_per_microF" public_interface="out"/>
      <variable name="g_Cab" units="milliS_per_microF" initial_value="0.003016"/>
      <variable name="E_Ca" units="millivolt" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="Cai" units="millimolar" public_interface="in"/>
      <variable name="Cao" units="millimolar" public_interface="in"/>
      <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 cellml:units="dimensionless">2</cn>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Cao</ci>
                     <ci>Cai</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_b</ci>
            <apply>
               <times/>
               <ci>g_Cab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_potassium_pump">
      <variable name="i_NaK" units="microA_per_microF" public_interface="out"/>
      <variable name="I_NaK" units="microA_per_microF" initial_value="2.25"/>
      <variable name="f_NaK" units="dimensionless"/>
      <variable name="K_mNai" units="millimolar" initial_value="10"/>
      <variable name="K_mKo" units="millimolar" initial_value="1.5"/>
      <variable name="sigma" units="dimensionless"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="Nai" units="millimolar" public_interface="in"/>
      <variable name="Nao" units="millimolar" public_interface="in"/>
      <variable name="Ko" units="millimolar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>sigma</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">1</cn>
                  <cn cellml:units="dimensionless">7</cn>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>Nao</ci>
                        <cn cellml:units="dimensionless">67.3</cn>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>f_NaK</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.1245</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="dimensionless">0.1</cn>
                              </apply>
                              <ci>V</ci>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.0365</cn>
                     <ci>sigma</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                              </apply>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_NaK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>I_NaK</ci>
                        <ci>f_NaK</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>K_mNai</ci>
                              <ci>Nai</ci>
                           </apply>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>Ko</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>Ko</ci>
                  <ci>K_mKo</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="non_specific_calcium_activated_current">
      <variable name="i_ns_Ca" units="microA_per_microF" public_interface="out"/>
      <variable name="i_ns_Na" units="microA_per_microF" public_interface="out"/>
      <variable name="i_ns_K" units="microA_per_microF" public_interface="out"/>
      <variable name="P_ns_Ca" units="cm_per_second"/>
      <variable name="gamma_Nai" units="dimensionless" public_interface="in"/>
      <variable name="gamma_Nao" units="dimensionless" public_interface="in"/>
      <variable name="gamma_Ki" units="dimensionless" public_interface="in"/>
      <variable name="gamma_Ko" units="dimensionless" public_interface="in"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="Cao" units="millimolar" public_interface="in"/>
      <variable name="Nao" units="millimolar" public_interface="in"/>
      <variable name="Ko" units="millimolar" public_interface="in"/>
      <variable name="Nai" units="millimolar" public_interface="in"/>
      <variable name="Ki" units="millimolar" public_interface="in"/>
      <variable name="I_ns_Na" units="microA_per_microF"/>
      <variable name="I_ns_K" units="microA_per_microF"/>
      <variable name="K_m_ns_Ca" units="millimolar" initial_value="0.0012"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="Cai" units="millimolar" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_ns_Ca</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">0</cn>
               <cn cellml:units="cm_per_second" type="e-notation">1.75<sep/>-7</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_ns_Na</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_ns_Ca</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_Nai</ci>
                        <ci>Nai</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">1</cn>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma_Nao</ci>
                        <ci>Nao</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_ns_K</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_ns_Ca</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_Ki</ci>
                        <ci>Ki</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">1</cn>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma_Ko</ci>
                        <ci>Ko</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_ns_Na</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>I_ns_Na</ci>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>K_m_ns_Ca</ci>
                        <ci>Cai</ci>
                     </apply>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_ns_K</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>I_ns_K</ci>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>K_m_ns_Ca</ci>
                        <ci>Cai</ci>
                     </apply>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_ns_Ca</ci>
            <apply>
               <plus/>
               <ci>i_ns_Na</ci>
               <ci>i_ns_K</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Na_Ca_exchanger">
      <variable name="i_NaCa" units="microA_per_microF" public_interface="out"/>
      <variable name="c1" units="microA_per_microF" initial_value="0.00025"/>
      <variable name="c2" units="millimolar" initial_value="0.0001"/>
      <variable name="gamma" units="dimensionless" initial_value="0.15"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="V" units="millivolt" public_interface="in"/>
      <variable name="R" units="joule_per_kilomole_kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="Nai" units="millimolar" public_interface="in"/>
      <variable name="Nao" units="millimolar" public_interface="in"/>
      <variable name="Cai" units="millimolar" public_interface="in"/>
      <variable name="Cao" units="millimolar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_NaCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>c1</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <ci>gamma</ci>
                              <cn 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>
                     <minus/>
                     <apply>
                        <times/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Nai</ci>
                           <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Cao</ci>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <power/>
                           <ci>Nao</ci>
                           <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Cai</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>c2</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>gamma</ci>
                                 <cn 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>
                        <plus/>
                        <apply>
                           <times/>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <ci>V</ci>
                                    <ci>F</ci>
                                 </apply>
                                 <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                 </apply>
                              </apply>
                           </apply>
                           <apply>
                              <power/>
                              <ci>Nai</ci>
                              <cn cellml:units="dimensionless">3</cn>
                           </apply>
                           <ci>Cao</ci>
                        </apply>
                        <apply>
                           <times/>
                           <apply>
                              <power/>
                              <ci>Nao</ci>
                              <cn cellml:units="dimensionless">3</cn>
                           </apply>
                           <ci>Cai</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="calcium_dynamics">
      <variable name="i_rel" units="millimolar_per_second" public_interface="out"/>
      <variable name="i_up" units="millimolar_per_second" public_interface="out"/>
      <variable name="i_leak" units="millimolar_per_second" public_interface="out"/>
      <variable name="i_tr" units="millimolar_per_second" public_interface="out"/>
      <variable name="G_rel" units="per_second"/>
      <variable name="G_rel_max" units="per_second" initial_value="60000"/>
      <variable name="G_rel_overload" units="per_second" initial_value="4000"/>
      <variable name="tau_tr" units="second" initial_value="0.18"/>
      <variable name="K_mrel" units="millimolar" initial_value="0.0008"/>
      <variable name="delta_Ca_ith" units="millimolar" initial_value="0.00018"/>
      <variable name="CSQN_max" units="millimolar" initial_value="10"/>
      <variable name="K_mCSQN" units="millimolar" initial_value="0.8"/>
      <variable name="K_mup" units="millimolar" initial_value="0.00092"/>
      <variable name="K_leak" units="per_second"/>
      <variable name="I_up" units="millimolar_per_second" initial_value="8.75"/>
      <variable name="Ca_NSR_max" units="millimolar" initial_value="15"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="Cai" units="millimolar" initial_value="6e-5" public_interface="out"/>
      <variable name="Cao" units="millimolar" initial_value="1.8" public_interface="out"/>
      <variable name="Ca_JSR" units="millimolar" initial_value="1.8" public_interface="out"/>
      <variable name="Ca_NSR" units="millimolar" initial_value="1.8" public_interface="out"/>
      <variable name="V_myo" units="micro_litre" public_interface="in"/>
      <variable name="A_cap" units="mm2" public_interface="in"/>
      <variable name="V_JSR" units="micro_litre"/>
      <variable name="V_NSR" units="micro_litre"/>
      <variable name="i_NaCa" units="microA_per_microF" public_interface="in"/>
      <variable name="i_CaCa" units="microA_per_microF" public_interface="in"/>
      <variable name="i_p_Ca" units="microA_per_microF" public_interface="in"/>
      <variable name="i_Ca_b" units="microA_per_microF" public_interface="in"/>
      <variable name="i_Ca_T" units="microA_per_microF" public_interface="in"/>
      <variable name="K_mTn" units="millimolar" initial_value="0.0005"/>
      <variable name="K_mCMDN" units="millimolar" initial_value="0.00238"/>
      <variable name="Tn_max" units="millimolar" initial_value="0.07"/>
      <variable name="CMDN_max" units="millimolar" initial_value="0.05"/>
      <variable name="dVdt" units="dimensionless" public_interface="in"/>
      <variable name="APtrack" units="dimensionless" initial_value="0"/>
      <variable name="APtrack2" units="dimensionless" initial_value="0"/>
      <variable name="APtrack3" units="dimensionless" initial_value="0"/>
      <variable name="Cainfluxtrack" units="dimensionless" initial_value="0"/>
      <variable name="OVRLDtrack" units="dimensionless" initial_value="0"/>
      <variable name="OVRLDtrack2" units="dimensionless" initial_value="0"/>
      <variable name="OVRLDtrack3" units="dimensionless" initial_value="0"/>
      <variable name="CSQNthresh" units="millimolar" initial_value="0.7"/>
      <variable name="Logicthresh" units="dimensionless" initial_value="0.98"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>V_JSR</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.0048</cn>
                  <cn cellml:units="dimensionless">0.68</cn>
               </apply>
               <ci>V_myo</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_NSR</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.0552</cn>
                  <cn cellml:units="dimensionless">0.68</cn>
               </apply>
               <ci>V_myo</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>APtrack</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100000</cn>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>APtrack</ci>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">500</cn>
                        <ci>APtrack</ci>
                     </apply>
                  </apply>
                  <apply>
                     <gt/>
                     <ci>dVdt</ci>
                     <cn cellml:units="dimensionless">150000</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">500</cn>
                     </apply>
                     <ci>APtrack</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>APtrack2</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100000</cn>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>APtrack2</ci>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">500</cn>
                        <ci>APtrack2</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <lt/>
                        <ci>APtrack</ci>
                        <cn cellml:units="dimensionless">0.2</cn>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>APtrack</ci>
                        <cn cellml:units="dimensionless">0.18</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">500</cn>
                     </apply>
                     <ci>APtrack2</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>APtrack3</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100000</cn>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>APtrack3</ci>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">500</cn>
                        <ci>APtrack3</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <lt/>
                        <ci>APtrack</ci>
                        <cn cellml:units="dimensionless">0.2</cn>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>APtrack</ci>
                        <cn cellml:units="dimensionless">0.18</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>APtrack3</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cainfluxtrack</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>A_cap</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>i_CaCa</ci>
                                 <ci>i_Ca_T</ci>
                              </apply>
                              <ci>i_NaCa</ci>
                           </apply>
                           <ci>i_p_Ca</ci>
                           <ci>i_Ca_b</ci>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>V_myo</ci>
                        <ci>F</ci>
                     </apply>
                  </apply>
                  <apply>
                     <gt/>
                     <ci>APtrack</ci>
                     <cn cellml:units="dimensionless">0.2</cn>
                  </apply>
               </piece>
               <piece>
                  <cn cellml:units="dimensionless">0</cn>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>APtrack2</ci>
                        <cn cellml:units="dimensionless">0.01</cn>
                     </apply>
                     <apply>
                        <leq/>
                        <ci>APtrack</ci>
                        <cn cellml:units="dimensionless">0.2</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">500</cn>
                     </apply>
                     <ci>Cainfluxtrack</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>OVRLDtrack</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">50000</cn>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>OVRLDtrack</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <apply>
                           <divide/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <plus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <divide/>
                                 <ci>K_mCSQN</ci>
                                 <ci>Ca_NSR</ci>
                              </apply>
                           </apply>
                        </apply>
                        <ci>CSQNthresh</ci>
                     </apply>
                     <apply>
                        <lt/>
                        <ci>OVRLDtrack3</ci>
                        <cn cellml:units="dimensionless">0.37</cn>
                     </apply>
                     <apply>
                        <lt/>
                        <ci>APtrack3</ci>
                        <cn cellml:units="dimensionless">0.37</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">500</cn>
                     </apply>
                     <ci>OVRLDtrack</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>OVRLDtrack2</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">50000</cn>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>OVRLDtrack2</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>OVRLDtrack</ci>
                        <ci>Logicthresh</ci>
                     </apply>
                     <apply>
                        <lt/>
                        <ci>OVRLDtrack2</ci>
                        <ci>Logicthresh</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">500</cn>
                     </apply>
                     <ci>OVRLDtrack2</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>OVRLDtrack3</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">50000</cn>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>OVRLDtrack3</ci>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>OVRLDtrack</ci>
                        <ci>Logicthresh</ci>
                     </apply>
                     <apply>
                        <lt/>
                        <ci>OVRLDtrack3</ci>
                        <ci>Logicthresh</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>OVRLDtrack3</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>G_rel</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>G_rel_max</ci>
                           <apply>
                              <minus/>
                              <ci>Cainfluxtrack</ci>
                              <ci>delta_Ca_ith</ci>
                           </apply>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>K_mrel</ci>
                              <ci>Cainfluxtrack</ci>
                           </apply>
                           <ci>delta_Ca_ith</ci>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>APtrack2</ci>
                     </apply>
                     <ci>APtrack2</ci>
                  </apply>
                  <apply>
                     <gt/>
                     <ci>Cainfluxtrack</ci>
                     <ci>delta_Ca_ith</ci>
                  </apply>
               </piece>
               <piece>
                  <apply>
                     <times/>
                     <ci>G_rel_overload</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>OVRLDtrack2</ci>
                     </apply>
                     <ci>OVRLDtrack2</ci>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <leq/>
                        <ci>Cainfluxtrack</ci>
                        <ci>delta_Ca_ith</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>OVRLDtrack2</ci>
                        <cn cellml:units="dimensionless">0</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="dimensionless">0</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>i_rel</ci>
            <apply>
               <times/>
               <ci>G_rel</ci>
               <apply>
                  <minus/>
                  <ci>Ca_JSR</ci>
                  <ci>Cai</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_up</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>I_up</ci>
                  <ci>Cai</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>Cai</ci>
                  <ci>K_mup</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_leak</ci>
            <apply>
               <divide/>
               <ci>I_up</ci>
               <ci>Ca_NSR_max</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_leak</ci>
            <apply>
               <times/>
               <ci>K_leak</ci>
               <ci>Ca_NSR</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_tr</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_NSR</ci>
                  <ci>Ca_JSR</ci>
               </apply>
               <ci>tau_tr</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_JSR</ci>
            </apply>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>CSQN_max</ci>
                           <ci>K_mCSQN</ci>
                        </apply>
                        <apply>
                           <power/>
                           <apply>
                              <plus/>
                              <ci>K_mCSQN</ci>
                              <ci>Ca_JSR</ci>
                           </apply>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <ci>i_tr</ci>
                  <ci>i_rel</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_NSR</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>i_tr</ci>
                        </apply>
                        <ci>V_JSR</ci>
                     </apply>
                     <ci>V_NSR</ci>
                  </apply>
                  <ci>i_leak</ci>
               </apply>
               <ci>i_up</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cai</ci>
            </apply>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>CMDN_max</ci>
                           <ci>K_mCMDN</ci>
                        </apply>
                        <apply>
                           <power/>
                           <apply>
                              <plus/>
                              <ci>K_mCMDN</ci>
                              <ci>Cai</ci>
                           </apply>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Tn_max</ci>
                           <ci>K_mTn</ci>
                        </apply>
                        <apply>
                           <power/>
                           <apply>
                              <plus/>
                              <ci>K_mTn</ci>
                              <ci>Cai</ci>
                           </apply>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>A_cap</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>i_CaCa</ci>
                                 <ci>i_Ca_T</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">2</cn>
                                 <ci>i_NaCa</ci>
                              </apply>
                           </apply>
                           <ci>i_p_Ca</ci>
                           <ci>i_Ca_b</ci>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>V_myo</ci>
                        <ci>F</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>i_rel</ci>
                        <ci>V_JSR</ci>
                     </apply>
                     <ci>V_myo</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>i_leak</ci>
                           <ci>i_up</ci>
                        </apply>
                        <ci>V_NSR</ci>
                     </apply>
                     <ci>V_myo</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="ionic_concentrations">
      <variable name="Nai" units="millimolar" initial_value="9" public_interface="out"/>
      <variable name="Nao" units="millimolar" initial_value="132" public_interface="out"/>
      <variable name="Ki" units="millimolar" initial_value="141.2" public_interface="out"/>
      <variable name="Ko" units="millimolar" initial_value="4.5" public_interface="out"/>
      <variable name="A_cap" units="mm2" initial_value="1.434e-7" public_interface="out"/>
      <variable name="preplength" units="mm" initial_value="0.001"/>
      <variable name="radius" units="mm" initial_value="1.1e-4"/>
      <variable name="volume" units="micro_litre"/>
      <variable name="V_myo" units="micro_litre" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="i_Na" units="microA_per_microF" public_interface="in"/>
      <variable name="i_CaNa" units="microA_per_microF" public_interface="in"/>
      <variable name="i_Na_b" units="microA_per_microF" public_interface="in"/>
      <variable name="i_ns_Na" units="microA_per_microF" public_interface="in"/>
      <variable name="i_NaCa" units="microA_per_microF" public_interface="in"/>
      <variable name="i_NaK" units="microA_per_microF" public_interface="in"/>
      <variable name="i_CaK" units="microA_per_microF" public_interface="in"/>
      <variable name="i_Kr" units="microA_per_microF" public_interface="in"/>
      <variable name="i_Ks" units="microA_per_microF" public_interface="in"/>
      <variable name="i_K1" units="microA_per_microF" public_interface="in"/>
      <variable name="i_Kp" units="microA_per_microF" public_interface="in"/>
      <variable name="i_K_Na" units="microA_per_microF" public_interface="in"/>
      <variable name="i_K_ATP" units="microA_per_microF" public_interface="in"/>
      <variable name="i_ns_K" units="microA_per_microF" public_interface="in"/>
      <variable name="i_to" units="microA_per_microF" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>volume</ci>
            <apply>
               <times/>
               <pi/>
               <ci>preplength</ci>
               <apply>
                  <power/>
                  <ci>radius</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_myo</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">0.68</cn>
               <ci>volume</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Nai</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>i_Na</ci>
                        <ci>i_CaNa</ci>
                        <ci>i_Na_b</ci>
                        <ci>i_ns_Na</ci>
                        <apply>
                           <times/>
                           <ci>i_NaCa</ci>
                           <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <apply>
                           <times/>
                           <ci>i_NaK</ci>
                           <cn cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>A_cap</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>V_myo</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ki</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>i_CaK</ci>
                        <ci>i_Kr</ci>
                        <ci>i_Ks</ci>
                        <ci>i_K1</ci>
                        <ci>i_Kp</ci>
                        <ci>i_K_Na</ci>
                        <ci>i_K_ATP</ci>
                        <ci>i_to</ci>
                        <ci>i_ns_K</ci>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <ci>i_NaK</ci>
                           </apply>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>A_cap</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>V_myo</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <group>
      <relationship_ref relationship="containment"/>
      <component_ref component="membrane">
         <component_ref component="fast_sodium_current">
            <component_ref component="Na_channel_states"/>
         </component_ref>
         <component_ref component="L_type_Ca_channel">
            <component_ref component="L_type_Ca_channel_d_gate"/>
            <component_ref component="L_type_Ca_channel_f_gate"/>
            <component_ref component="L_type_Ca_channel_f_Ca_gate"/>
         </component_ref>
         <component_ref component="T_type_Ca_channel">
            <component_ref component="T_type_Ca_channel_b_gate"/>
            <component_ref component="T_type_Ca_channel_g_gate"/>
         </component_ref>
         <component_ref component="rapid_delayed_rectifier_potassium_current">
            <component_ref component="Kr_channel_states"/>
         </component_ref>
         <component_ref component="slow_delayed_rectifier_potassium_current">
            <component_ref component="slow_delayed_rectifier_potassium_current_xs1_gate"/>
            <component_ref component="slow_delayed_rectifier_potassium_current_xs2_gate"/>
         </component_ref>
         <component_ref component="time_independent_potassium_current">
            <component_ref component="time_independent_potassium_current_K1_gate"/>
         </component_ref>
         <component_ref component="transient_outward_current">
            <component_ref component="transient_outward_current_zdv_gate"/>
            <component_ref component="transient_outward_current_ydv_gate"/>
         </component_ref>
         <component_ref component="Na_Ca_exchanger"/>
         <component_ref component="plateau_potassium_current"/>
         <component_ref component="sodium_activated_potassium_current"/>
         <component_ref component="ATP_sensitive_potassium_current"/>
         <component_ref component="sarcolemmal_calcium_pump"/>
         <component_ref component="sodium_background_current"/>
         <component_ref component="calcium_background_current"/>
         <component_ref component="sodium_potassium_pump"/>
         <component_ref component="non_specific_calcium_activated_current"/>
         <component_ref component="ionic_concentrations"/>
         <component_ref component="calcium_dynamics"/>
      </component_ref>
   </group>
   <group>
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="fast_sodium_current">
         <component_ref component="Na_channel_states"/>
      </component_ref>
      <component_ref component="L_type_Ca_channel">
         <component_ref component="L_type_Ca_channel_d_gate"/>
         <component_ref component="L_type_Ca_channel_f_gate"/>
         <component_ref component="L_type_Ca_channel_f_Ca_gate"/>
      </component_ref>
      <component_ref component="T_type_Ca_channel">
         <component_ref component="T_type_Ca_channel_b_gate"/>
         <component_ref component="T_type_Ca_channel_g_gate"/>
      </component_ref>
      <component_ref component="rapid_delayed_rectifier_potassium_current">
         <component_ref component="Kr_channel_states"/>
      </component_ref>
      <component_ref component="slow_delayed_rectifier_potassium_current">
         <component_ref component="slow_delayed_rectifier_potassium_current_xs1_gate"/>
         <component_ref component="slow_delayed_rectifier_potassium_current_xs2_gate"/>
      </component_ref>
      <component_ref component="time_independent_potassium_current">
         <component_ref component="time_independent_potassium_current_K1_gate"/>
      </component_ref>
      <component_ref component="transient_outward_current">
         <component_ref component="transient_outward_current_zdv_gate"/>
         <component_ref component="transient_outward_current_ydv_gate"/>
      </component_ref>
   </group>
   <connection>
      <map_components component_1="membrane" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </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="rapid_delayed_rectifier_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="slow_delayed_rectifier_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sarcolemmal_calcium_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_activated_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="ATP_sensitive_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="non_specific_calcium_activated_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="ionic_concentrations" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="calcium_dynamics" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="fast_sodium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
      <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="L_type_Ca_channel"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
      <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="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="rapid_delayed_rectifier_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="slow_delayed_rectifier_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sodium_activated_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_K_Na" variable_2="i_K_Na"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="ATP_sensitive_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_K_ATP" variable_2="i_K_ATP"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="transient_outward_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_to" variable_2="i_to"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="Na_Ca_exchanger"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="plateau_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Kp" variable_2="i_Kp"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sarcolemmal_calcium_pump"/>
      <map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sodium_background_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="calcium_background_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sodium_potassium_pump"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_NaK" variable_2="i_NaK"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="non_specific_calcium_activated_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_ns_Ca" variable_2="i_ns_Ca"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="ionic_concentrations"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="calcium_dynamics"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="dVdt" variable_2="dVdt"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="sodium_background_current"/>
      <map_variables variable_1="E_Na" variable_2="E_Na"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="ionic_concentrations"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
      <map_variables variable_1="i_CaNa" variable_2="i_CaNa"/>
      <map_variables variable_1="i_CaK" variable_2="i_CaK"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="calcium_dynamics"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
      <map_variables variable_1="i_CaCa" variable_2="i_CaCa"/>
   </connection>
   <connection>
      <map_components component_1="T_type_Ca_channel" component_2="calcium_dynamics"/>
      <map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
   </connection>
   <connection>
      <map_components component_1="slow_delayed_rectifier_potassium_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
   </connection>
   <connection>
      <map_components component_1="slow_delayed_rectifier_potassium_current" component_2="calcium_dynamics"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
   </connection>
   <connection>
      <map_components component_1="rapid_delayed_rectifier_potassium_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="i_to" variable_2="i_to"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="ionic_concentrations"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="calcium_dynamics"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
   </connection>
   <connection>
      <map_components component_1="sodium_activated_potassium_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="i_K_Na" variable_2="i_K_Na"/>
   </connection>
   <connection>
      <map_components component_1="ATP_sensitive_potassium_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="i_K_ATP" variable_2="i_K_ATP"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="sodium_activated_potassium_current" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="ATP_sensitive_potassium_current" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_current" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="i_Kp" variable_2="i_Kp"/>
   </connection>
   <connection>
      <map_components component_1="sarcolemmal_calcium_pump" component_2="calcium_dynamics"/>
      <map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
   </connection>
   <connection>
      <map_components component_1="T_type_Ca_channel" component_2="calcium_background_current"/>
      <map_variables variable_1="E_Ca" variable_2="E_Ca"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="calcium_dynamics"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="ionic_concentrations"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="i_NaK" variable_2="i_NaK"/>
   </connection>
   <connection>
      <map_components component_1="non_specific_calcium_activated_current" component_2="ionic_concentrations"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
      <map_variables variable_1="i_ns_Na" variable_2="i_ns_Na"/>
      <map_variables variable_1="i_ns_K" variable_2="i_ns_K"/>
   </connection>
   <connection>
      <map_components component_1="non_specific_calcium_activated_current" component_2="calcium_dynamics"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="non_specific_calcium_activated_current"/>
      <map_variables variable_1="gamma_Nao" variable_2="gamma_Nao"/>
      <map_variables variable_1="gamma_Nai" variable_2="gamma_Nai"/>
      <map_variables variable_1="gamma_Ko" variable_2="gamma_Ko"/>
      <map_variables variable_1="gamma_Ki" variable_2="gamma_Ki"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="Na_channel_states"/>
      <map_variables variable_1="P_UO_Na" variable_2="P_UO_Na"/>
      <map_variables variable_1="P_LO_Na" variable_2="P_LO_Na"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_d_gate"/>
      <map_variables variable_1="d" variable_2="d"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_f_gate"/>
      <map_variables variable_1="f" variable_2="f"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_f_Ca_gate"/>
      <map_variables variable_1="f_Ca" variable_2="f_Ca"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="T_type_Ca_channel" component_2="T_type_Ca_channel_b_gate"/>
      <map_variables variable_1="b" variable_2="b"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="T_type_Ca_channel" component_2="T_type_Ca_channel_g_gate"/>
      <map_variables variable_1="g" variable_2="g"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="rapid_delayed_rectifier_potassium_current" component_2="Kr_channel_states"/>
      <map_variables variable_1="P_O" variable_2="P_O"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="Ko" variable_2="Ko"/>
   </connection>
   <connection>
      <map_components component_1="slow_delayed_rectifier_potassium_current" component_2="slow_delayed_rectifier_potassium_current_xs1_gate"/>
      <map_variables variable_1="xs1" variable_2="xs1"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="slow_delayed_rectifier_potassium_current" component_2="slow_delayed_rectifier_potassium_current_xs2_gate"/>
      <map_variables variable_1="xs2" variable_2="xs2"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="time_independent_potassium_current_K1_gate"/>
      <map_variables variable_1="K1_infinity" variable_2="K1_infinity"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_current" component_2="transient_outward_current_ydv_gate"/>
      <map_variables variable_1="ydv" variable_2="ydv"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_current" component_2="transient_outward_current_zdv_gate"/>
      <map_variables variable_1="zdv" variable_2="zdv"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="calcium_dynamics" component_2="ionic_concentrations"/>
      <map_variables variable_1="V_myo" variable_2="V_myo"/>
      <map_variables variable_1="A_cap" variable_2="A_cap"/>
   </connection>
   
   <rdf:RDF>
  <rdf:Bag rdf:about="rdf:#b1277f56-1afe-4cf4-8acc-ca1ae18e27e2">
    <rdf:li>cardiac</rdf:li>
    <rdf:li>Markovian Model</rdf:li>
    <rdf:li>electrophysiology</rdf:li>
  </rdf:Bag>
  <rdf:Seq rdf:about="rdf:#ab00ca29-f22a-426d-9ece-aaecb00b6d80">
    <rdf:li rdf:resource="rdf:#276b7117-9db8-47c7-93c0-0a4616636154"/>
    <rdf:li rdf:resource="rdf:#da50a5d4-de87-40c4-bae8-949471991432"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#21913ec3-88b4-48ed-bd78-afed7a6704ab">
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    <dc:title>Cellular consequences of HERG mutations in the long QT syndrome: precursors to sudden cardiac death (INaKPQ Mutant Epicardial Cell)</dc:title>
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            The model for cardiac i_Na includes three closed states (C3, C2 and 
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            In 1999, Viswanathan, Shaw and Rudy published a paper which updated
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            In 1995, Zeng, Laurita, Rosenbaum and Rudy published a paper which 
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            delayed rectifier potassium currents, i_Kr and i_Ks.  They also 
            identified a second &quot;T-type&quot; calcium channel. This paper is 
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            In 2000, Faber and Rudy published a paper which updated the original
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    <dc:title>Cardiovascular Research</dc:title>
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            In 1997, Shaw and Rudy published a paper which modified the 
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    <vCard:Given>Autumn</vCard:Given>
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    <vCard:Given>Catherine</vCard:Given>
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    <dc:title>Cellular consequences of HERG mutations in the long QT syndrome: precursors to sudden cardiac death</dc:title>
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            The use of a Markovian model to represent i_Na deviates from the 
            traditional Hodgkin-Huxley approach used in many ionic models 
            (including Luo-Rudy II).  The Markovian scheme represents distinct 
            channel states and coupling between these states, which allowed 
            Clancy and Rudy to relate state-specific kinetic properties of ion 
            channels to the electophysiological behaviour of the whole cell.
          </rdf:value>
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    <dcterms:modified rdf:resource="rdf:#c33b1106-0629-42f6-a75e-b3121375dfac"/>
    <rdf:value>
          Made changes to some of the metadata, bringing them up to date with
          the most recent working draft (26th September) of the Metadata
          Specification.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#93ea7a0d-abed-40bf-b77e-2b59c3bf04a0"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b318b5b2-0192-4b73-b549-638966fe77ae">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#cc63e9b6-9e38-40ec-8e57-ce8f862bf031">
    <vCard:N rdf:resource="rdf:#7f5e4acc-55b2-4a06-b978-e85f8e435421"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8bf7f941-460a-4702-9ec1-ad5c102c42a7">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Research Group</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7f5e4acc-55b2-4a06-b978-e85f8e435421">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0bc9308d-73e5-4a94-8519-4029e2c4fce4">
    <vCard:N rdf:resource="rdf:#555f0f99-8e66-48be-bc79-073df3e02c4a"/>
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    <dcterms:modified rdf:resource="rdf:#effea2b4-390f-454f-b848-aa0d73f7baed"/>
    <rdf:value>
          Corrected units.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#bb33c0d3-3e7b-4e62-8111-9f2d29e60312"/>
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  <rdf:Description rdf:about="rdf:#6d2cb45f-07dd-4947-b857-fcbb23267412">
    <dc:creator rdf:resource="rdf:#b318b5b2-0192-4b73-b549-638966fe77ae"/>
    <rdf:value>This is the CellML description of Clancy and Rudy's mathematical Markovian model of the wild-type cardiac delayed rectifier current (Ikr). They incorporate this into a comprehensive model of the cardiac ventricular cell, which is based on the modified Luo-Rudy II Model. The use of a Markovian model to represent IKr deviates from the traditional Hodgkin-Huxley approach.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#dc439ca5-4b6f-42a5-81d0-077efa22f4ff">
    <dcterms:W3CDTF>2001-12-10</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8f9439a9-36cd-4ec6-a5cb-73d11e2f6f82">
    <dcterms:modified rdf:resource="rdf:#3e2dffc0-2367-4def-af47-54ce2db1699d"/>
    <rdf:value>
          Altered some of the connections.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#d1747cd8-4b00-4714-847d-5a644912fc7e"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#eff86ed3-7ad4-4976-b84b-d43518f01409">
    <dcterms:W3CDTF>2005-04-20</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#4a6124a3-e7fc-42ef-a4b5-c7e1a6772eb0">
    <vCard:Given>Colleen</vCard:Given>
    <vCard:Family>Clancy</vCard:Family>
    <vCard:Other>E</vCard:Other>
  </rdf:Description>
</rdf:RDF>
</model>
Source
Derived from workspace Clancy, Rudy, 2001 at changeset f40fb42adae8.
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License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.