Location: Noble, Noble, Bett, Earm, Ho, So, 1991 @ d6afc8e06914 / noble_noble_bett_earm_ho_so_1991.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2007-04-19 02:55:21+12:00
Desc:
committing version03 of noble_noble_bett_earm_ho_so_1991
Permanent Source URI:
https://models.cellml.org/workspace/noble_noble_bett_earm_ho_so_1991/rawfile/d6afc8e06914dbd6ec91f395a1549e3b1d4da8c3/noble_noble_bett_earm_ho_so_1991.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 16/01/2007 at 15:43:19 using:

COR (0.9.31.431)
Copyright 2002-2006 Oxford Cardiac Electrophysiology Group
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk

CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" cmeta:id="noble_noble_bett_earm_ho_so_2006_version03" name="noble_noble_bett_earm_ho_so_1991_version03">
   

   <documentation xmlns="http://cellml.org/tmp-documentation">
<article>

  <section id="sec_status">
    <title>Model Status</title>
    <para>
Version 03 was created by Penny Noble of Oxford University and supports simulation of multiple action potentials. This model is known to run in COR and PCEnv. This model also has a PCEnv session file associated with it.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
This model was based on the paper:
</para>
<para>
"The role of sodium-calcium exchange during the cardiac action potential"
</para>
<para>
by Noble D, Noble SJ, Bett GC, Earm YE, Ho WK, So IK
</para>
<para>
Annals of the New York Academy of Sciences 1991;639:334-53. 
</para>
<para>
Unfortunately due to the date of publication, electronic access via Blackwell-Synergy is limited for this journal. Documentation for this model is currently pending access to this article in print.
</para>
<para>

</para> 

</sect1>
</article>
</documentation> 
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      <variable units="millivolt" public_interface="out" name="E_K"/>
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      <variable units="millivolt" public_interface="out" name="E_mh"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="Na_o"/>
      <variable units="millimolar" public_interface="in" name="K_i"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="millimolar" public_interface="in" name="Ca_o"/>
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      <variable units="second" public_interface="in" name="time"/>
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   </component>
   <component name="time_independent_potassium_current">
      <variable units="nanoA" public_interface="out" name="i_K1"/>
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      <variable units="second" public_interface="in" name="time"/>
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         <apply>
            <eq/>
            <ci>beta_m</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">8000</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">0.056</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn cellml:units="millivolt">66</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>m</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_m</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>m</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_m</ci>
                  <ci>m</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="fast_sodium_current_h_gate">
      <variable units="dimensionless" public_interface="out" name="h" initial_value="0.99816539"/>
      <variable units="per_second" name="alpha_h"/>
      <variable units="per_second" name="beta_h"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_h</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">20</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">0.125</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn cellml:units="millivolt">75</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_h</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_second">2000</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">320</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">0.1</cn>
                           </apply>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">75</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>h</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_h</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>h</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_h</ci>
                  <ci>h</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_background_current">
      <variable units="nanoA" public_interface="out" name="i_b_Na"/>
      <variable units="microS" name="g_bna" initial_value="0.0006"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="millivolt" public_interface="in" name="E_Na"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_b_Na</ci>
            <apply>
               <times/>
               <ci>g_bna</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel">
      <variable units="nanoA" public_interface="out" name="i_Ca_L_Ca" cmeta:id="L_type_Ca_channel_i_Ca_L_Ca"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L_K"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L_Na"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L"/>
      <variable units="nanoA_per_millimolar" name="P_Ca_L" initial_value="0.25"/>
      <variable units="nanoA_per_millimolar" name="P_CaK" initial_value="0.002"/>
      <variable units="nanoA_per_millimolar" name="P_CaNa" initial_value="0.01"/>
      <variable units="millimolar" public_interface="in" name="Ca_o"/>
      <variable units="millimolar" public_interface="in" private_interface="out" name="Ca_i"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="K_i"/>
      <variable units="millimolar" public_interface="in" name="Na_o"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="millijoule_per_mole_kelvin" public_interface="in" name="R"/>
      <variable units="coulomb_per_mole" public_interface="in" name="F"/>
      <variable units="kelvin" public_interface="in" name="T"/>
      <variable units="second" public_interface="in" private_interface="out" name="time"/>
      <variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
      <variable units="dimensionless" private_interface="in" name="d"/>
      <variable units="dimensionless" private_interface="in" name="f"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ca_L_Ca</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>Ca_i</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">100</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Ca_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_L_K</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_CaK</ci>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>K_i</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">50</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>K_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_L_Na</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_CaNa</ci>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>Na_i</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">50</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Na_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_L</ci>
            <apply>
               <plus/>
               <ci>i_Ca_L_Ca</ci>
               <ci>i_Ca_L_K</ci>
               <ci>i_Ca_L_Na</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_d_gate">
      <variable units="dimensionless" public_interface="out" name="d" initial_value="0"/>
      <variable units="per_second" name="alpha_d"/>
      <variable units="per_second" name="beta_d"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="millivolt" name="E0_d"/>
      <variable units="dimensionless" name="speed_d" initial_value="3"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_d</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>V</ci>
                  <cn cellml:units="millivolt">24</cn>
               </apply>
               <cn cellml:units="millivolt">5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_d</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="per_second">120</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_d</ci>
                     </apply>
                     <cn cellml:units="millivolt">0.0001</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_millivolt_second">30</cn>
                        <ci>E0_d</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <minus/>
                                 <ci>E0_d</ci>
                              </apply>
                              <cn cellml:units="millivolt">4</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_d</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="per_second">120</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_d</ci>
                     </apply>
                     <cn cellml:units="millivolt">0.0001</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_millivolt_second">12</cn>
                        <ci>E0_d</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>E0_d</ci>
                              <cn cellml:units="millivolt">10</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d</ci>
            </apply>
            <apply>
               <times/>
               <ci>speed_d</ci>
               <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>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_f_gate">
      <variable units="dimensionless" public_interface="out" name="f" initial_value="1"/>
      <variable units="per_second" name="alpha_f"/>
      <variable units="per_second" name="beta_f"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="dimensionless" name="speed_f" initial_value="0.5"/>
      <variable units="dimensionless" name="delta_f" initial_value="0.0001"/>
      <variable units="millivolt" name="E0_f"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_f</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn cellml:units="millivolt">34</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_f</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="per_second">25</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_f</ci>
                     </apply>
                     <ci>delta_f</ci>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_millivolt_second">6.25</cn>
                        <ci>E0_f</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>E0_f</ci>
                              <cn cellml:units="millivolt">4</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_f</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_second">50</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">1</cn>
                           </apply>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">34</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">4</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f</ci>
            </apply>
            <apply>
               <times/>
               <ci>speed_f</ci>
               <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>
         </apply>
      </math>
   </component>
   <component name="calcium_background_current">
      <variable units="nanoA" public_interface="out" name="i_b_Ca"/>
      <variable units="microS" name="g_bca" initial_value="0.00025"/>
      <variable units="millivolt" public_interface="in" name="E_Ca"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_b_Ca</ci>
            <apply>
               <times/>
               <ci>g_bca</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_current">
      <variable units="nanoA" public_interface="out" name="i_to"/>
      <variable units="microS" name="g_to" initial_value="0.005"/>
      <variable units="microS" name="g_tos" initial_value="0"/>
      <variable units="millivolt" public_interface="in" name="E_K"/>
      <variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
      <variable units="second" public_interface="in" private_interface="out" name="time"/>
      <variable units="dimensionless" private_interface="in" name="s"/>
      <variable units="dimensionless" private_interface="in" name="r"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_to</ci>
            <apply>
               <times/>
               <ci>g_to</ci>
               <apply>
                  <plus/>
                  <ci>g_tos</ci>
                  <apply>
                     <times/>
                     <ci>s</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>g_tos</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>r</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_current_s_gate">
      <variable units="dimensionless" public_interface="out" name="s" initial_value="1"/>
      <variable units="per_second" name="alpha_s"/>
      <variable units="per_second" name="beta_s"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_s</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">0.033</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="millivolt">17</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_s</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_second">33</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">0.125</cn>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">10</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>s</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_s</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>s</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_s</ci>
                  <ci>s</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_current_r_gate">
      <variable units="dimensionless" public_interface="out" name="r" initial_value="0"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>r</ci>
            </apply>
            <apply>
               <times/>
               <cn cellml:units="per_second">333</cn>
               <apply>
                  <minus/>
                  <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">4</cn>
                                 </apply>
                              </apply>
                              <cn cellml:units="dimensionless">5</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <ci>r</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_potassium_pump">
      <variable units="nanoA" public_interface="out" name="i_NaK"/>
      <variable units="nanoA" name="i_NaK_max" initial_value="0.7"/>
      <variable units="millimolar" name="K_mK" initial_value="1"/>
      <variable units="millimolar" name="K_mNa" initial_value="40"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_NaK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>i_NaK_max</ci>
                        <ci>K_o</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>K_mK</ci>
                        <ci>K_o</ci>
                     </apply>
                  </apply>
                  <ci>Na_i</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_mNa</ci>
                  <ci>Na_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_calcium_exchanger">
      <variable units="nanoA" public_interface="out" name="i_NaCa" cmeta:id="sodium_calcium_exchanger_i_NaCa"/>
      <variable units="nanoA" name="k_NaCa" initial_value="0.0005"/>
      <variable units="dimensionless" name="n_NaCa" initial_value="3"/>
      <variable units="dimensionless" name="d_NaCa" initial_value="0"/>
      <variable units="dimensionless" name="gamma" initial_value="0.5"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="millimolar" public_interface="in" name="Na_o"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <variable units="millimolar" public_interface="in" name="Ca_o"/>
      <variable units="millijoule_per_mole_kelvin" public_interface="in" name="R"/>
      <variable units="coulomb_per_mole" public_interface="in" name="F"/>
      <variable units="kelvin" public_interface="in" name="T"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_NaCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>k_NaCa</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>gamma</ci>
                                 <apply>
                                    <minus/>
                                    <ci>n_NaCa</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                 </apply>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Na_i</ci>
                           <ci>n_NaCa</ci>
                        </apply>
                        <ci>Ca_o</ci>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <ci>gamma</ci>
                                    <cn cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <apply>
                                    <minus/>
                                    <ci>n_NaCa</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                 </apply>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Na_o</ci>
                           <ci>n_NaCa</ci>
                        </apply>
                        <ci>Ca_i</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <times/>
                        <ci>d_NaCa</ci>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <ci>Ca_i</ci>
                              <apply>
                                 <power/>
                                 <ci>Na_o</ci>
                                 <ci>n_NaCa</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>Ca_o</ci>
                              <apply>
                                 <power/>
                                 <ci>Na_i</ci>
                                 <ci>n_NaCa</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Ca_i</ci>
                        <cn cellml:units="millimolar">0.0069</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sarcoplasmic_reticulum_calcium_pump">
      <variable units="millimolar_per_second" public_interface="out" name="i_up" cmeta:id="sarcoplasmic_reticulum_calcium_pump_i_up"/>
      <variable units="per_second" name="K_1"/>
      <variable units="per_second" name="K_2"/>
      <variable units="millimolar" name="K_cyca" initial_value="0.0003"/>
      <variable units="millimolar" name="K_xcs" initial_value="0.4"/>
      <variable units="millimolar" name="K_srca" initial_value="0.5"/>
      <variable units="per_second" name="alpha_up" initial_value="0.4"/>
      <variable units="per_second" name="beta_up" initial_value="0.03"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <variable units="millimolar" public_interface="in" name="Ca_up"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_cyca</ci>
                  <ci>K_xcs</ci>
               </apply>
               <ci>K_srca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_2</ci>
            <apply>
               <plus/>
               <ci>Ca_i</ci>
               <apply>
                  <times/>
                  <ci>Ca_up</ci>
                  <ci>K_1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>K_cyca</ci>
                  <ci>K_xcs</ci>
               </apply>
               <ci>K_cyca</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_up</ci>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>Ca_i</ci>
                     <ci>K_2</ci>
                  </apply>
                  <ci>alpha_up</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Ca_up</ci>
                        <ci>K_1</ci>
                     </apply>
                     <ci>K_2</ci>
                  </apply>
                  <ci>beta_up</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="calcium_translocation">
      <variable units="millimolar_per_second" public_interface="out" name="i_trans"/>
      <variable units="millimolar" public_interface="in" name="Ca_rel"/>
      <variable units="millimolar" public_interface="in" name="Ca_up"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_trans</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">50</cn>
               <apply>
                  <minus/>
                  <ci>Ca_up</ci>
                  <ci>Ca_rel</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="calcium_release">
      <variable units="millimolar_per_second" public_interface="out" name="i_rel"/>
      <variable units="millivolt" name="VoltDep"/>
      <variable units="dimensionless" name="RegBindSite"/>
      <variable units="per_second" name="ActRate"/>
      <variable units="per_second" name="InactRate"/>
      <variable units="per_second" name="K_leak_rate" initial_value="0"/>
      <variable units="per_second" name="K_m_rel" initial_value="250"/>
      <variable units="dimensionless" name="PrecFrac"/>
      <variable units="dimensionless" name="ActFrac" initial_value="0"/>
      <variable units="dimensionless" name="ProdFrac" initial_value="0"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <variable units="millimolar" public_interface="in" name="Ca_rel"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>VoltDep</ci>
            <apply>
               <exp/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0.08</cn>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                     <cn cellml:units="millivolt">40</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>RegBindSite</ci>
            <apply>
               <power/>
               <apply>
                  <divide/>
                  <ci>Ca_i</ci>
                  <apply>
                     <plus/>
                     <ci>Ca_i</ci>
                     <cn cellml:units="millimolar">0.0005</cn>
                  </apply>
               </apply>
               <cn cellml:units="dimensionless">2</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ActRate</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">500</cn>
               <ci>RegBindSite</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>InactRate</ci>
            <apply>
               <plus/>
               <cn cellml:units="per_second">60</cn>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">500</cn>
                  <ci>RegBindSite</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>PrecFrac</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>ActFrac</ci>
               </apply>
               <ci>ProdFrac</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ActFrac</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>PrecFrac</ci>
                  <ci>ActRate</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>ActFrac</ci>
                  <ci>InactRate</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ProdFrac</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>ActFrac</ci>
                  <ci>InactRate</ci>
               </apply>
               <ci>ProdFrac</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_rel</ci>
            <apply>
               <times/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>ActFrac</ci>
                           <apply>
                              <plus/>
                              <ci>ActFrac</ci>
                              <cn cellml:units="dimensionless">0.25</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <ci>K_m_rel</ci>
                  </apply>
                  <ci>K_leak_rate</ci>
               </apply>
               <ci>Ca_rel</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="extracellular_sodium_concentration">
      <variable units="millimolar" public_interface="out" name="Na_o" initial_value="140"/>
   </component>
   <component name="intracellular_sodium_concentration">
      <variable units="millimolar" public_interface="out" name="Na_i" initial_value="5"/>
      <variable units="microlitre" public_interface="in" name="V_i"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="coulomb_per_mole" public_interface="in" name="F"/>
      <variable units="nanoA" public_interface="in" name="i_Na"/>
      <variable units="nanoA" public_interface="in" name="i_b_Na"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_Na"/>
      <variable units="nanoA" public_interface="in" name="i_NaK"/>
      <variable units="nanoA" public_interface="in" name="i_NaCa"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Na_i</ci>
            </apply>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_i</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <ci>i_Na</ci>
                  <ci>i_b_Na</ci>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">3</cn>
                     <ci>i_NaK</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">3</cn>
                     <ci>i_NaCa</ci>
                  </apply>
                  <ci>i_Ca_L_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="extracellular_calcium_concentration">
      <variable units="millimolar" public_interface="out" name="Ca_o" initial_value="2"/>
   </component>
   <component name="extracellular_potassium_concentration">
      <variable units="millimolar" public_interface="out" name="K_o" initial_value="4"/>
   </component>
   <component name="intracellular_potassium_concentration">
      <variable units="millimolar" public_interface="out" name="K_i" initial_value="140"/>
      <variable units="microlitre" public_interface="in" name="V_i"/>
      <variable units="nanoA" public_interface="in" name="i_K1"/>
      <variable units="nanoA" public_interface="in" name="i_K"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_K"/>
      <variable units="nanoA" public_interface="in" name="i_to"/>
      <variable units="nanoA" public_interface="in" name="i_b_K"/>
      <variable units="nanoA" public_interface="in" name="i_NaK"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="coulomb_per_mole" public_interface="in" name="F"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_i</ci>
            </apply>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_i</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>i_K1</ci>
                     <ci>i_K</ci>
                     <ci>i_Ca_L_K</ci>
                     <ci>i_to</ci>
                     <ci>i_b_K</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>i_NaK</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_calcium_concentration">
      <variable units="millimolar" public_interface="out" name="Ca_i" initial_value="7.63e-6"/>
      <variable units="millimolar" public_interface="out" name="Ca_up" initial_value="0.3013"/>
      <variable units="millimolar" public_interface="out" name="Ca_rel" initial_value="0.2989"/>
      <variable units="millimolar" name="Ca_Calmod" initial_value="0.0003"/>
      <variable units="millimolar" name="Ca_Trop" initial_value="0.0002"/>
      <variable units="millimolar" name="Calmod" initial_value="0.02"/>
      <variable units="millimolar" name="Trop" initial_value="0.05"/>
      <variable units="per_second" name="alpha_Calmod" initial_value="100000"/>
      <variable units="per_second" name="beta_Calmod" initial_value="50"/>
      <variable units="per_second" name="alpha_Trop" initial_value="100000"/>
      <variable units="per_second" name="beta_Trop" initial_value="200"/>
      <variable units="micrometre" name="radius" initial_value="12"/>
      <variable units="micrometre" name="length" initial_value="74"/>
      <variable units="microlitre" public_interface="out" name="V_i"/>
      <variable units="microlitre" name="V_Cell"/>
      <variable units="dimensionless" name="V_i_ratio"/>
      <variable units="dimensionless" name="V_rel_ratio" initial_value="0.1"/>
      <variable units="dimensionless" name="V_e_ratio" initial_value="0.4"/>
      <variable units="dimensionless" name="V_up_ratio" initial_value="0.01"/>
      <variable units="millimolar_per_second" public_interface="in" name="i_up"/>
      <variable units="millimolar_per_second" public_interface="in" name="i_trans"/>
      <variable units="millimolar_per_second" public_interface="in" name="i_rel"/>
      <variable units="nanoA" public_interface="in" name="i_NaCa"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_Ca"/>
      <variable units="nanoA" public_interface="in" name="i_b_Ca"/>
      <variable units="coulomb_per_mole" public_interface="in" name="F"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>V_Cell</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">3.141592654</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>radius</ci>
                        <cn cellml:units="dimensionless">1000</cn>
                     </apply>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
                  <ci>length</ci>
               </apply>
               <cn cellml:units="dimensionless">1000</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_i_ratio</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>V_e_ratio</ci>
                  </apply>
                  <ci>V_up_ratio</ci>
               </apply>
               <ci>V_rel_ratio</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_i</ci>
            <apply>
               <times/>
               <ci>V_Cell</ci>
               <ci>V_i_ratio</ci>
            </apply>
         </apply>
         <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Ca_i</ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <minus/>
            <apply>
              <minus/>
              <apply>
                <plus/>
                <apply>
                  <times/>
                  <apply>
                    <divide/>
                    <apply>
                      <minus/>
                      <cn cellml:units="dimensionless">1</cn>
                    </apply>
                    <cn cellml:units="dimensionless">2</cn>
                  </apply>
                  <ci>V_i</ci>
                  <ci>F</ci>
                  <apply>
                    <minus/>
                    <apply>
                      <plus/>
                      <ci>i_Ca_L_Ca</ci>
                      <ci>i_b_Ca</ci>
                    </apply>
                    <apply>
                      <times/>
                      <cn cellml:units="dimensionless">2</cn>
                      <ci>i_NaCa</ci>
                    </apply>
                  </apply>
                </apply>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>i_rel</ci>
                    <ci>V_rel_ratio</ci>
                  </apply>
                  <ci>V_i_ratio</ci>
                </apply>
              </apply>
              <ci>dCa_Calmod_dtime</ci>
            </apply>
            <ci>dCa_Trop_dtime</ci>
          </apply>
          <ci>i_up</ci>
        </apply>
      </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_up</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>V_i_ratio</ci>
                     <ci>V_up_ratio</ci>
                  </apply>
                  <ci>i_up</ci>
               </apply>
               <ci>i_trans</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_rel</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>V_up_ratio</ci>
                     <ci>V_rel_ratio</ci>
                  </apply>
                  <ci>i_trans</ci>
               </apply>
               <ci>i_rel</ci>
            </apply>
         </apply>
         <apply>
        <eq/>
        <ci>dCa_Calmod_dtime</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>alpha_Calmod</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus/>
              <ci>Calmod</ci>
              <ci>Ca_Calmod</ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci>beta_Calmod</ci>
            <ci>Ca_Calmod</ci>
          </apply>
        </apply>
      </apply>
         <apply>
        <eq/>
        <ci>dCa_Trop_dtime</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>alpha_Trop</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus/>
              <ci>Trop</ci>
              <ci>Ca_Trop</ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci>beta_Trop</ci>
            <ci>Ca_Trop</ci>
          </apply>
        </apply>
      </apply>
      </math>
   <variable units="millimolar_per_second" name="dCa_Calmod_dtime"/>
    <variable units="millimolar_per_second" name="dCa_Trop_dtime"/>
  </component>
   <group>
      <relationship_ref relationship="containment"/>
      <component_ref component="membrane">
         <component_ref component="fast_sodium_current">
            <component_ref component="fast_sodium_current_m_gate"/>
            <component_ref component="fast_sodium_current_h_gate"/>
         </component_ref>
         <component_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_ref component="time_dependent_potassium_current">
            <component_ref component="time_dependent_potassium_current_x_gate"/>
         </component_ref>
         <component_ref component="potassium_background_current"/>
         <component_ref component="time_independent_potassium_current"/>
         <component_ref component="sodium_background_current"/>
         <component_ref component="calcium_background_current"/>
         <component_ref component="transient_outward_current">
            <component_ref component="transient_outward_current_s_gate"/>
            <component_ref component="transient_outward_current_r_gate"/>
         </component_ref>
         <component_ref component="sodium_potassium_pump"/>
         <component_ref component="sodium_calcium_exchanger"/>
         <component_ref component="sarcoplasmic_reticulum_calcium_pump"/>
         <component_ref component="calcium_translocation"/>
         <component_ref component="calcium_release"/>
         <component_ref component="extracellular_sodium_concentration"/>
         <component_ref component="intracellular_sodium_concentration"/>
         <component_ref component="extracellular_potassium_concentration"/>
         <component_ref component="intracellular_potassium_concentration"/>
         <component_ref component="extracellular_calcium_concentration"/>
         <component_ref component="intracellular_calcium_concentration"/>
         <component_ref component="reversal_potentials"/>
      </component_ref>
   </group>
   <group>
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="fast_sodium_current">
         <component_ref component="fast_sodium_current_m_gate"/>
         <component_ref component="fast_sodium_current_h_gate"/>
      </component_ref>
      <component_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_ref component="transient_outward_current">
         <component_ref component="transient_outward_current_s_gate"/>
         <component_ref component="transient_outward_current_r_gate"/>
      </component_ref>
      <component_ref component="time_dependent_potassium_current">
         <component_ref component="time_dependent_potassium_current_x_gate"/>
      </component_ref>
   </group>
   <connection>
      <map_components component_2="environment" component_1="membrane"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="reversal_potentials"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="fast_sodium_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="time_dependent_potassium_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="time_independent_potassium_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="sodium_background_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="potassium_background_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="calcium_background_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="transient_outward_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="sodium_potassium_pump"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="sodium_calcium_exchanger"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="intracellular_sodium_concentration"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="intracellular_potassium_concentration"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="intracellular_calcium_concentration"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="sarcoplasmic_reticulum_calcium_pump"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="calcium_translocation"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="calcium_release"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="membrane" component_1="calcium_release"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="reversal_potentials" component_1="membrane"/>
      <map_variables variable_2="R" variable_1="R"/>
      <map_variables variable_2="T" variable_1="T"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="fast_sodium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_Na" variable_1="i_Na"/>
   </connection>
   <connection>
      <map_components component_2="L_type_Ca_channel" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_Ca_L_Ca" variable_1="i_Ca_L_Ca"/>
      <map_variables variable_2="i_Ca_L_Na" variable_1="i_Ca_L_Na"/>
      <map_variables variable_2="i_Ca_L_K" variable_1="i_Ca_L_K"/>
      <map_variables variable_2="R" variable_1="R"/>
      <map_variables variable_2="T" variable_1="T"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="time_dependent_potassium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_K" variable_1="i_K"/>
      <map_variables variable_2="R" variable_1="R"/>
      <map_variables variable_2="T" variable_1="T"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="transient_outward_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_to" variable_1="i_to"/>
   </connection>
   <connection>
      <map_components component_2="time_independent_potassium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_K1" variable_1="i_K1"/>
      <map_variables variable_2="R" variable_1="R"/>
      <map_variables variable_2="T" variable_1="T"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="sodium_background_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_b_Na" variable_1="i_b_Na"/>
   </connection>
   <connection>
      <map_components component_2="calcium_background_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_b_Ca" variable_1="i_b_Ca"/>
   </connection>
   <connection>
      <map_components component_2="potassium_background_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_b_K" variable_1="i_b_K"/>
   </connection>
   <connection>
      <map_components component_2="sodium_potassium_pump" component_1="membrane"/>
      <map_variables variable_2="i_NaK" variable_1="i_NaK"/>
   </connection>
   <connection>
      <map_components component_2="sodium_calcium_exchanger" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
      <map_variables variable_2="R" variable_1="R"/>
      <map_variables variable_2="T" variable_1="T"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="membrane"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="membrane"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="membrane"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="sodium_background_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_Na" variable_1="E_Na"/>
   </connection>
   <connection>
      <map_components component_2="potassium_background_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_K" variable_1="E_K"/>
   </connection>
   <connection>
      <map_components component_2="time_independent_potassium_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_K" variable_1="E_K"/>
   </connection>
   <connection>
      <map_components component_2="transient_outward_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_K" variable_1="E_K"/>
   </connection>
   <connection>
      <map_components component_2="calcium_background_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_Ca" variable_1="E_Ca"/>
   </connection>
   <connection>
      <map_components component_2="fast_sodium_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_mh" variable_1="E_mh"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_potassium_concentration" component_1="reversal_potentials"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_sodium_concentration" component_1="reversal_potentials"/>
      <map_variables variable_2="Na_o" variable_1="Na_o"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="reversal_potentials"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="reversal_potentials"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_calcium_concentration" component_1="reversal_potentials"/>
      <map_variables variable_2="Ca_o" variable_1="Ca_o"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="reversal_potentials"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_potassium_concentration" component_1="time_independent_potassium_current"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="time_independent_potassium_current"/>
      <map_variables variable_2="i_K1" variable_1="i_K1"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="time_dependent_potassium_current"/>
      <map_variables variable_2="i_K" variable_1="i_K"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_potassium_concentration" component_1="time_dependent_potassium_current"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="potassium_background_current"/>
      <map_variables variable_2="i_b_K" variable_1="i_b_K"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="fast_sodium_current"/>
      <map_variables variable_2="i_Na" variable_1="i_Na"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="sodium_background_current"/>
      <map_variables variable_2="i_b_Na" variable_1="i_b_Na"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="i_Ca_L_Na" variable_1="i_Ca_L_Na"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="i_Ca_L_Ca" variable_1="i_Ca_L_Ca"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="i_Ca_L_K" variable_1="i_Ca_L_K"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_potassium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_sodium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="Na_o" variable_1="Na_o"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_calcium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="Ca_o" variable_1="Ca_o"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="calcium_background_current"/>
      <map_variables variable_2="i_b_Ca" variable_1="i_b_Ca"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="sodium_potassium_pump"/>
      <map_variables variable_2="i_NaK" variable_1="i_NaK"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_potassium_concentration" component_1="sodium_potassium_pump"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="sodium_potassium_pump"/>
      <map_variables variable_2="i_NaK" variable_1="i_NaK"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="transient_outward_current"/>
      <map_variables variable_2="i_to" variable_1="i_to"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="sodium_calcium_exchanger"/>
      <map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="sodium_calcium_exchanger"/>
      <map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_sodium_concentration" component_1="sodium_calcium_exchanger"/>
      <map_variables variable_2="Na_o" variable_1="Na_o"/>
   </connection>
   <connection>
      <map_components component_2="extracellular_calcium_concentration" component_1="sodium_calcium_exchanger"/>
      <map_variables variable_2="Ca_o" variable_1="Ca_o"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="sarcoplasmic_reticulum_calcium_pump"/>
      <map_variables variable_2="i_up" variable_1="i_up"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="Ca_up" variable_1="Ca_up"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="calcium_translocation"/>
      <map_variables variable_2="i_trans" variable_1="i_trans"/>
      <map_variables variable_2="Ca_rel" variable_1="Ca_rel"/>
      <map_variables variable_2="Ca_up" variable_1="Ca_up"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="calcium_release"/>
      <map_variables variable_2="i_rel" variable_1="i_rel"/>
      <map_variables variable_2="Ca_rel" variable_1="Ca_rel"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
   </connection>
   <connection>
      <map_components component_2="time_dependent_potassium_current_x_gate" component_1="time_dependent_potassium_current"/>
      <map_variables variable_2="x" variable_1="x"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="fast_sodium_current_m_gate" component_1="fast_sodium_current"/>
      <map_variables variable_2="m" variable_1="m"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="fast_sodium_current_h_gate" component_1="fast_sodium_current"/>
      <map_variables variable_2="h" variable_1="h"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="L_type_Ca_channel_d_gate" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="d" variable_1="d"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="L_type_Ca_channel_f_gate" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="f" variable_1="f"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="transient_outward_current_s_gate" component_1="transient_outward_current"/>
      <map_variables variable_2="s" variable_1="s"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="transient_outward_current_r_gate" component_1="transient_outward_current"/>
      <map_variables variable_2="r" variable_1="r"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="intracellular_sodium_concentration"/>
      <map_variables variable_2="V_i" variable_1="V_i"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_calcium_concentration" component_1="intracellular_potassium_concentration"/>
      <map_variables variable_2="V_i" variable_1="V_i"/>
   </connection>













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