Location: Noble, Varghese, Kohl, Noble, 1998 @ f4309e193355 / noble_varghese_kohl_noble_1998_b.cellml

Author:
Catherine Lloyd <c.lloyd@auckland.ac.nz>
Date:
2010-02-12 13:04:43+13:00
Desc:
Changed name of image files, deleted old version of the model which is now handled by version control, changed image name in documentation in preparation for Hanne's new images.
Permanent Source URI:
https://staging.physiomeproject.org/workspace/noble_varghese_kohl_noble_1998/rawfile/f4309e193355a3a735b1170ca0c63b7a7f1cb812/noble_varghese_kohl_noble_1998_b.cellml

<?xml version='1.0' encoding='utf-8'?>
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This CellML file was generated on 02/10/2007 at 16:11:28 using:

COR (0.9.31.793)
Copyright 2002-2007 Dr Alan Garny
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk

CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Improved guinea-pig ventricular cell model incorporating a diadic space, IKr and IKs, and length- and tension-dependent processes</title>
  <author>
    <firstname>Penny</firstname>
          <surname>Noble</surname>
    <affiliation>
      <shortaffil>Oxford University</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
This version has been curated and unit-checked by Penny Noble and is known to run in PCEnv and COR. This is the EXTENDED model, which includes everything from the BASIC variant and also acetylcholine dependent modulation and contraction modelling, but not stretch and fibroblast simulation. This model is parameterised the same as the BASIC model, with all additional variables set to zero. The values for these variables can be found in <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=9487284&amp;dopt=Abstract">Noble et al.'s 1998 paper.</ulink>
This model also has a PCEnv session file associated with it.
    </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>ABSTRACT: The guinea-pig ventricular cell model, originally developed by Noble et al in 1991, has been greatly extended to include accumulation and depletion of calcium in a diadic space between the sarcolemma and the sarcoplasmic reticulum where, according to contempory understanding, the majority of calcium-induced calcium release is triggered. The calcium in this space is also assumed to play the major role in calcium-induced inactivation of the calcium current. Delayed potassium current equations have been developed to include the rapid (IKr) and slow (IKs) components of the delayed rectifier current based on the data of of Heath and Terrar, along with data from Sanguinetti and Jurkiewicz. Length- and tension-dependent changes in mechanical and electrophysiological processes have been incorporated as described recently by Kohl et al. Drug receptor interactions have started to be developed, using the sodium channel as the first target. The new model has been tested against experimental data on action potential clamp, and on force-interval and duration-interval relations; it has been found to reliably reproduce experimental observations.
</para>

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

<para>
Improved guinea-pig ventricular cell model incorporating a diadic space, IKr and IKs, and length- and tension-dependent processes, Denis Noble, Anthony Varghese, Peter Kohl and Penelope Noble, 1998, <emphasis>Can J Cardiol</emphasis>, 14, 123-134.  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/9487284">PubMed ID: 9487284</ulink>
</para>

<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>cell diagram of Noble'98 model showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
    </objectinfo>
    <imagedata fileref="noble_1998b.png"/>
  </imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Noble'98 model.</caption>
</informalfigure>

</sect1>
</article>
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                              <minus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">5</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">9</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_xr2</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">0.4</cn>
               <apply>
                  <exp/>
                  <apply>
                     <minus/>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">30</cn>
                           </apply>
                           <cn cellml:units="millivolt">30</cn>
                        </apply>
                        <cn cellml:units="dimensionless">3</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xr2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_xr2</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>xr2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_xr2</ci>
                  <ci>xr2</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_delayed_rectifier_potassium_current">
      <variable units="nanoA" public_interface="out" name="i_Ks"/>
      <variable units="microS" name="g_Ks" initial_value="0.0026"/>
      <variable units="millivolt" public_interface="in" name="E_Ks"/>
      <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="xs"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ks</ci>
            <apply>
               <times/>
               <ci>g_Ks</ci>
               <apply>
                  <power/>
                  <ci>xs</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ks</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_delayed_rectifier_potassium_current_xs_gate">
      <variable units="dimensionless" public_interface="out" name="xs" initial_value="0.001302"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="per_second" name="alpha_xs"/>
      <variable units="per_second" name="beta_xs"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_xs</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_second">14</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn cellml:units="millivolt">40</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="millivolt">9</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_xs</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn cellml:units="millivolt">45</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>xs</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_xs</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>xs</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_xs</ci>
                  <ci>xs</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="ATP_dependent_potassium_current">
      <variable units="nanoA" public_interface="out" name="i_K_ATP"/>
      <variable units="microS" name="g_K_ATP" initial_value="0"/>
      <variable units="millimolar" name="K_ATP" initial_value="0.1"/>
      <variable units="millimolar" name="ATP" 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/>
            <ci>i_K_ATP</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>g_K_ATP</ci>
                  <apply>
                     <plus/>
                     <ci>V</ci>
                     <cn cellml:units="millivolt">80</cn>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>ATP</ci>
                        <ci>K_ATP</ci>
                     </apply>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_activated_potassium_current">
      <variable units="nanoA" public_interface="out" name="i_KNa"/>
      <variable units="microS" name="g_K_Na" initial_value="0"/>
      <variable units="millimolar" name="K_kna" initial_value="20"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="millivolt" public_interface="in" name="E_K"/>
      <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_KNa</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>g_K_Na</ci>
                     <ci>Na_i</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>Na_i</ci>
                     <ci>K_kna</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="fast_sodium_current">
      <variable units="nanoA" public_interface="out" name="i_Na"/>
      <variable units="microS" name="g_Na" initial_value="2.5"/>
      <variable units="millivolt" public_interface="in" name="E_mh"/>
      <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="m"/>
      <variable units="dimensionless" private_interface="in" name="h"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Na</ci>
            <apply>
               <times/>
               <ci>g_Na</ci>
               <apply>
                  <power/>
                  <ci>m</ci>
                  <cn cellml:units="dimensionless">3</cn>
               </apply>
               <ci>h</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_mh</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="fast_sodium_current_m_gate">
      <variable units="dimensionless" public_interface="out" name="m" initial_value="0.0016203"/>
      <variable units="per_second" name="alpha_m"/>
      <variable units="per_second" name="beta_m"/>
      <variable units="millivolt" public_interface="in" name="V"/>
      <variable units="second" public_interface="in" name="time"/>
      <variable units="millivolt" name="delta_m" initial_value="1e-5"/>
      <variable units="millivolt" name="E0_m"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_m</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn cellml:units="millivolt">41</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_m</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="per_second">2000</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_m</ci>
                     </apply>
                     <ci>delta_m</ci>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="per_millivolt_second">200</cn>
                        <ci>E0_m</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="per_millivolt">0.1</cn>
                              </apply>
                              <ci>E0_m</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_m</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">8000</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="per_millivolt">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="0.9944036"/>
      <variable units="per_second" name="alpha_h"/>
      <variable units="per_second" name="beta_h"/>
      <variable units="millivolt" name="shift_h" 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/>
            <ci>alpha_h</ci>
            <apply>
               <times/>
               <cn cellml:units="per_second">20</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="per_millivolt">0.125</cn>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="millivolt">75</cn>
                        </apply>
                        <ci>shift_h</ci>
                     </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="per_millivolt">0.1</cn>
                           </apply>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="millivolt">75</cn>
                              </apply>
                              <ci>shift_h</ci>
                           </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="persistent_sodium_current">
      <variable units="nanoA" public_interface="out" name="i_p_Na"/>
      <variable units="microS" name="g_pna" initial_value="0.004"/>
      <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_p_Na</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>g_pna</ci>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="millivolt">52</cn>
                              </apply>
                           </apply>
                           <cn cellml:units="millivolt">8</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Na</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_cyt"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L_K_cyt"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L_Na_cyt"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L_Ca_ds"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L_K_ds"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L_Na_ds"/>
      <variable units="nanoA" public_interface="out" name="i_Ca_L"/>
      <variable units="nanoA_per_millimolar" name="P_Ca_L" initial_value="0.1"/>
      <variable units="dimensionless" name="P_CaK" initial_value="0.002"/>
      <variable units="dimensionless" 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" private_interface="out" name="Ca_ds"/>
      <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="joule_per_kilomole_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"/>
      <variable units="dimensionless" private_interface="in" name="f2"/>
      <variable units="dimensionless" private_interface="in" name="f2ds"/>
      <variable units="millimolar" private_interface="out" name="Km_f2" initial_value="100000"/>
      <variable units="millimolar" private_interface="out" name="Km_f2ds" initial_value="0.001"/>
      <variable units="per_second" public_interface="out" private_interface="out" name="R_decay" initial_value="20"/>
      <variable units="dimensionless" name="FrICa" initial_value="1"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ca_L_Ca_cyt</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>FrICa</ci>
                        </apply>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <ci>f2</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="millivolt">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_cyt</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>FrICa</ci>
                        </apply>
                        <ci>P_CaK</ci>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <ci>f2</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="millivolt">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_cyt</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <ci>FrICa</ci>
                        </apply>
                        <ci>P_CaNa</ci>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <ci>f2</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="millivolt">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_Ca_ds</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>FrICa</ci>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <ci>f2ds</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="millivolt">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_ds</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>FrICa</ci>
                        <ci>P_CaK</ci>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <ci>f2ds</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="millivolt">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_ds</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>FrICa</ci>
                        <ci>P_CaNa</ci>
                        <ci>P_Ca_L</ci>
                        <ci>d</ci>
                        <ci>f</ci>
                        <ci>f2ds</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="millivolt">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_cyt</ci>
               <ci>i_Ca_L_K_cyt</ci>
               <ci>i_Ca_L_Na_cyt</ci>
               <ci>i_Ca_L_Ca_ds</ci>
               <ci>i_Ca_L_K_ds</ci>
               <ci>i_Ca_L_Na_ds</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="0.3"/>
      <variable units="millivolt" 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">12</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="L_type_Ca_channel_f2_gate">
      <variable units="dimensionless" public_interface="out" name="f2" initial_value="0.9349197"/>
      <variable units="millimolar" public_interface="in" name="Km_f2"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <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>f2</ci>
            </apply>
            <apply>
               <minus/>
               <cn cellml:units="per_second">1</cn>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">1</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <divide/>
                        <ci>Ca_i</ci>
                        <apply>
                           <plus/>
                           <ci>Km_f2</ci>
                           <ci>Ca_i</ci>
                        </apply>
                     </apply>
                     <ci>f2</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_channel_f2ds_gate">
      <variable units="dimensionless" public_interface="out" name="f2ds" initial_value="0.9651958"/>
      <variable units="millimolar" public_interface="in" name="Km_f2ds"/>
      <variable units="per_second" public_interface="in" name="R_decay"/>
      <variable units="millimolar" public_interface="in" name="Ca_ds"/>
      <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>f2ds</ci>
            </apply>
            <apply>
               <times/>
               <ci>R_decay</ci>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <divide/>
                        <ci>Ca_ds</ci>
                        <apply>
                           <plus/>
                           <ci>Km_f2ds</ci>
                           <ci>Ca_ds</ci>
                        </apply>
                     </apply>
                     <ci>f2ds</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="dimensionless" 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="0.9948645"/>
      <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="per_millivolt">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="millivolt">5</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <ci>r</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="ACh_dependent_potassium_current">
      <variable units="nanoA" public_interface="out" name="i_K_ACh"/>
      <variable units="microS" name="g_KACh" initial_value="0"/>
      <variable units="millimolar" name="ACh" initial_value="5"/>
      <variable units="millimolar" name="K_D" initial_value="0.00013"/>
      <variable units="millivolt" public_interface="in" name="E_K"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="K_mk1"/>
      <variable units="joule_per_kilomole_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" private_interface="out" name="time"/>
      <variable units="dimensionless" private_interface="in" name="x_ACh"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_K_ACh</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>g_KACh</ci>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <apply>
                        <plus/>
                        <ci>K_o</ci>
                        <ci>K_mk1</ci>
                     </apply>
                  </apply>
                  <ci>x_ACh</ci>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>K_D</ci>
                              <ci>ACh</ci>
                           </apply>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                     <ci>E_K</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <ci>F</ci>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <apply>
                                 <plus/>
                                 <ci>E_K</ci>
                                 <cn cellml:units="millivolt">10</cn>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="ACh_dependent_potassium_current_xACh_gate">
      <variable units="dimensionless" public_interface="out" name="x_ACh" initial_value="0"/>
      <variable units="per_second" name="alpha_ACh" initial_value="0.5"/>
      <variable units="per_second" name="beta_ACh" initial_value="0.5"/>
      <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>x_ACh</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_ACh</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>x_ACh</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_ACh</ci>
                  <ci>x_ACh</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"/>
      <variable units="nanoA" public_interface="out" name="i_NaCa_cyt"/>
      <variable units="nanoA" public_interface="out" name="i_NaCa_ds"/>
      <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="dimensionless" name="FRiNaCa" initial_value="0.001"/>
      <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_ds"/>
      <variable units="millimolar" public_interface="in" name="Ca_o"/>
      <variable units="joule_per_kilomole_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_cyt</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>FRiNaCa</ci>
                  </apply>
                  <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="millimolar4">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>
         <apply>
            <eq/>
            <ci>i_NaCa_ds</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>FRiNaCa</ci>
                  <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_ds</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="millimolar4">1</cn>
                     <apply>
                        <times/>
                        <ci>d_NaCa</ci>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <ci>Ca_ds</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_ds</ci>
                        <cn cellml:units="millimolar">0.0069</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_NaCa</ci>
            <apply>
               <plus/>
               <ci>i_NaCa_cyt</ci>
               <ci>i_NaCa_ds</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sarcoplasmic_reticulum_calcium_pump">
      <variable units="millimolar_per_second" public_interface="out" name="i_up"/>
      <variable units="dimensionless" name="K_1"/>
      <variable units="millimolar" name="K_2"/>
      <variable units="millimolar" name="K_cyca" initial_value="0.0003"/>
      <variable units="dimensionless" name="K_xcs" initial_value="0.4"/>
      <variable units="millimolar" name="K_srca" initial_value="0.5"/>
      <variable units="millimolar_per_second" name="alpha_up" initial_value="0.4"/>
      <variable units="millimolar_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="dimensionless" name="VoltDep"/>
      <variable units="dimensionless" name="RegBindSite"/>
      <variable units="dimensionless" name="CaiReg"/>
      <variable units="dimensionless" name="CadsReg"/>
      <variable units="per_second" name="ActRate"/>
      <variable units="per_second" name="InactRate"/>
      <variable units="per_second" name="K_leak_rate" initial_value="0.05"/>
      <variable units="per_second" name="K_m_rel" initial_value="250"/>
      <variable units="millimolar" name="K_m_Ca_cyt" initial_value="0.0005"/>
      <variable units="millimolar" name="K_m_Ca_ds" initial_value="0.01"/>
      <variable units="dimensionless" name="PrecFrac"/>
      <variable units="dimensionless" name="ActFrac" initial_value="0.0042614"/>
      <variable units="dimensionless" name="ProdFrac" initial_value="0.4068154"/>
      <variable units="dimensionless" name="SpeedRel"/>
      <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_ds"/>
      <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="per_millivolt">0.08</cn>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                     <cn cellml:units="millivolt">40</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CaiReg</ci>
            <apply>
               <divide/>
               <ci>Ca_i</ci>
               <apply>
                  <plus/>
                  <ci>Ca_i</ci>
                  <ci>K_m_Ca_cyt</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CadsReg</ci>
            <apply>
               <divide/>
               <ci>Ca_ds</ci>
               <apply>
                  <plus/>
                  <ci>Ca_ds</ci>
                  <ci>K_m_Ca_ds</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>RegBindSite</ci>
            <apply>
               <plus/>
               <ci>CaiReg</ci>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>CaiReg</ci>
                  </apply>
                  <ci>CadsReg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ActRate</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">0</cn>
                  <ci>VoltDep</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="per_second">500</cn>
                  <apply>
                     <power/>
                     <ci>RegBindSite</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </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>
                  <apply>
                     <power/>
                     <ci>RegBindSite</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>SpeedRel</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="dimensionless">5</cn>
                  <apply>
                     <lt/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="millivolt">50</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="dimensionless">1</cn>
               </otherwise>
            </piecewise>
         </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>SpeedRel</ci>
                  <ci>ActRate</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>ActFrac</ci>
                  <ci>SpeedRel</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>SpeedRel</ci>
                  <ci>InactRate</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>SpeedRel</ci>
                  <cn cellml:units="per_second">1</cn>
                  <ci>ProdFrac</ci>
               </apply>
            </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="7.3321223"/>
      <variable units="micrometre3" 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_p_Na"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_Na_cyt"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_Na_ds"/>
      <variable units="nanoA" public_interface="in" name="i_NaK"/>
      <variable units="nanoA" public_interface="in" name="i_NaCa_cyt"/>
      <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="mA_nA">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="litre_micrometre3">1</cn>
                     <ci>V_i</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <ci>i_Na</ci>
                  <ci>i_p_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_cyt</ci>
                  </apply>
                  <ci>i_Ca_L_Na_cyt</ci>
                  <ci>i_Ca_L_Na_ds</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="136.5644281"/>
      <variable units="micrometre3" public_interface="in" name="V_i"/>
      <variable units="nanoA" public_interface="in" name="i_K1"/>
      <variable units="nanoA" public_interface="in" name="i_Kr"/>
      <variable units="nanoA" public_interface="in" name="i_Ks"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_K_cyt"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_K_ds"/>
      <variable units="nanoA" public_interface="in" name="i_to"/>
      <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="mA_nA">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="litre_micrometre3">1</cn>
                     <ci>V_i</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>i_K1</ci>
                     <ci>i_Kr</ci>
                     <ci>i_Ks</ci>
                     <ci>i_Ca_L_K_cyt</ci>
                     <ci>i_Ca_L_K_ds</ci>
                     <ci>i_to</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="1.4e-5"/>
      <variable units="millimolar" public_interface="out" name="Ca_ds" initial_value="1.88e-5"/>
      <variable units="millimolar" public_interface="out" name="Ca_up" initial_value="0.4531889"/>
      <variable units="millimolar" public_interface="out" name="Ca_rel" initial_value="0.4481927"/>
      <variable units="millimolar" public_interface="out" name="Ca_Calmod" initial_value="0.0005555"/>
      <variable units="millimolar" public_interface="out" name="Ca_Trop" initial_value="0.0003542"/>
      <variable units="millimolar" public_interface="out" name="Calmod" initial_value="0.02"/>
      <variable units="millimolar" public_interface="out" name="Trop" initial_value="0.05"/>
      <variable units="per_millimolar_second" name="alpha_Calmod" initial_value="100000"/>
      <variable units="per_second" name="beta_Calmod" initial_value="50"/>
      <variable units="per_millimolar_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="micrometre3" public_interface="out" name="V_i"/>
      <variable units="micrometre3" name="V_Cell"/>
      <variable units="dimensionless" name="V_i_ratio"/>
      <variable units="dimensionless" name="V_ds_ratio" initial_value="0.1"/>
      <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="per_second" name="Kdecay" initial_value="10"/>
      <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_cyt"/>
      <variable units="nanoA" public_interface="in" name="i_NaCa_ds"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_Ca_cyt"/>
      <variable units="nanoA" public_interface="in" name="i_Ca_L_Ca_ds"/>
      <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="mA_nA">1</cn>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">2</cn>
                                 <cn cellml:units="litre_micrometre3">1</cn>
                                 <ci>V_i</ci>
                                 <ci>F</ci>
                              </apply>
                           </apply>
                           <apply>
                              <minus/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <plus/>
                                    <ci>i_Ca_L_Ca_cyt</ci>
                                    <ci>i_b_Ca</ci>
                                 </apply>
                                 <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">2</cn>
                                    <ci>i_NaCa_cyt</ci>
                                 </apply>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">2</cn>
                                 <ci>i_NaCa_ds</ci>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <ci>Ca_ds</ci>
                           <ci>V_ds_ratio</ci>
                           <ci>Kdecay</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>i_rel</ci>
                              <ci>V_rel_ratio</ci>
                           </apply>
                           <ci>V_i_ratio</ci>
                        </apply>
                     </apply>
                     <apply>
                        <diff/>
                        <bvar>
                           <ci>time</ci>
                        </bvar>
                        <ci>Ca_Calmod</ci>
                     </apply>
                  </apply>
                  <apply>
                     <diff/>
                     <bvar>
                        <ci>time</ci>
                     </bvar>
                     <ci>Ca_Trop</ci>
                  </apply>
               </apply>
               <ci>i_up</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_ds</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="mA_nA">1</cn>
                     </apply>
                     <ci>i_Ca_L_Ca_ds</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <cn cellml:units="litre_micrometre3">1</cn>
                     <ci>V_ds_ratio</ci>
                     <ci>V_i</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>Ca_ds</ci>
                  <ci>Kdecay</ci>
               </apply>
            </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/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_Calmod</ci>
            </apply>
            <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/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_Trop</ci>
            </apply>
            <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>
   </component>
   <component name="contraction">
      <variable units="dimensionless" name="light_chain" initial_value="3.32e-5"/>
      <variable units="dimensionless" name="cross_bridge" initial_value="8.09e-5"/>
      <variable units="per_second" name="KCont1" initial_value="12000"/>
      <variable units="dimensionless" name="XCont2"/>
      <variable units="dimensionless" name="XCont1"/>
      <variable units="per_second" name="KCont2" initial_value="100"/>
      <variable units="per_second" name="KCont3" initial_value="60"/>
      <variable units="per_second" name="KCont4" initial_value="25"/>
      <variable units="micrometre" name="sarcomere_length" initial_value="2"/>
      <variable units="per_micrometre" name="cross_bridge_density" initial_value="0.05"/>
      <variable units="dimensionless" name="tension_rest"/>
      <variable units="dimensionless" name="tension_active"/>
      <variable units="micrometre" name="overlap"/>
      <variable units="dimensionless" name="cross_bridge_availability"/>
      <variable units="dimensionless" name="isometric_tension"/>
      <variable units="millimolar" public_interface="in" name="Ca_Calmod"/>
      <variable units="millimolar" public_interface="in" name="Ca_Trop"/>
      <variable units="millimolar" public_interface="in" name="Calmod"/>
      <variable units="millimolar" public_interface="in" name="Trop"/>
      <variable units="second" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>XCont2</ci>
            <apply>
               <divide/>
               <ci>Ca_Calmod</ci>
               <ci>Calmod</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>XCont1</ci>
            <apply>
               <divide/>
               <ci>Ca_Trop</ci>
               <ci>Trop</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>light_chain</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>KCont1</ci>
                  <apply>
                     <power/>
                     <ci>XCont1</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
                  <ci>XCont2</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>light_chain</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>KCont2</ci>
                  <ci>light_chain</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>cross_bridge</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>KCont3</ci>
                  <ci>light_chain</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>cross_bridge</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>KCont4</ci>
                  <ci>cross_bridge</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tension_rest</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">2e-4</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <cn cellml:units="per_micrometre">2</cn>
                     <ci>sarcomere_length</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tension_active</ci>
            <piecewise>
               <piece>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn cellml:units="per_micrometre">3</cn>
                           </apply>
                           <apply>
                              <minus/>
                              <ci>sarcomere_length</ci>
                              <cn cellml:units="micrometre">1</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <gt/>
                     <ci>sarcomere_length</ci>
                     <cn cellml:units="micrometre">1</cn>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="dimensionless">0</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>overlap</ci>
            <piecewise>
               <piece>
                  <apply>
                     <minus/>
                     <cn cellml:units="micrometre">1</cn>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.625</cn>
                        <apply>
                           <minus/>
                           <ci>sarcomere_length</ci>
                           <cn cellml:units="micrometre">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <gt/>
                     <ci>sarcomere_length</ci>
                     <cn cellml:units="micrometre">2</cn>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="micrometre">1</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>cross_bridge_availability</ci>
            <apply>
               <times/>
               <ci>tension_active</ci>
               <ci>overlap</ci>
               <ci>cross_bridge_density</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>isometric_tension</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>cross_bridge</ci>
                  <ci>cross_bridge_availability</ci>
               </apply>
               <ci>tension_rest</ci>
            </apply>
         </apply>
      </math>
   </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="L_type_Ca_channel_f2_gate"/>
            <component_ref component="L_type_Ca_channel_f2ds_gate"/>
         </component_ref>
         <component_ref component="rapid_delayed_rectifier_potassium_current">
            <component_ref component="rapid_delayed_rectifier_potassium_current_xr1_gate"/>
            <component_ref component="rapid_delayed_rectifier_potassium_current_xr2_gate"/>
         </component_ref>
         <component_ref component="slow_delayed_rectifier_potassium_current">
            <component_ref component="slow_delayed_rectifier_potassium_current_xs_gate"/>
         </component_ref>
         <component_ref component="time_independent_potassium_current"/>
         <component_ref component="ATP_dependent_potassium_current"/>
         <component_ref component="sodium_activated_potassium_current"/>
         <component_ref component="persistent_sodium_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="ACh_dependent_potassium_current">
            <component_ref component="ACh_dependent_potassium_current_xACh_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 component="contraction"/>
      </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="L_type_Ca_channel_f2_gate"/>
         <component_ref component="L_type_Ca_channel_f2ds_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="rapid_delayed_rectifier_potassium_current">
         <component_ref component="rapid_delayed_rectifier_potassium_current_xr1_gate"/>
         <component_ref component="rapid_delayed_rectifier_potassium_current_xr2_gate"/>
      </component_ref>
      <component_ref component="slow_delayed_rectifier_potassium_current">
         <component_ref component="slow_delayed_rectifier_potassium_current_xs_gate"/>
      </component_ref>
      <component_ref component="ACh_dependent_potassium_current">
         <component_ref component="ACh_dependent_potassium_current_xACh_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="rapid_delayed_rectifier_potassium_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="slow_delayed_rectifier_potassium_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="ATP_dependent_potassium_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="ACh_dependent_potassium_current"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="sodium_activated_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="persistent_sodium_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="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="environment" component_1="contraction"/>
      <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_cyt" variable_1="i_Ca_L_Ca_cyt"/>
      <map_variables variable_2="i_Ca_L_Ca_ds" variable_1="i_Ca_L_Ca_ds"/>
      <map_variables variable_2="i_Ca_L_Na_cyt" variable_1="i_Ca_L_Na_cyt"/>
      <map_variables variable_2="i_Ca_L_Na_ds" variable_1="i_Ca_L_Na_ds"/>
      <map_variables variable_2="i_Ca_L_K_cyt" variable_1="i_Ca_L_K_cyt"/>
      <map_variables variable_2="i_Ca_L_K_ds" variable_1="i_Ca_L_K_ds"/>
      <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="rapid_delayed_rectifier_potassium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_Kr" variable_1="i_Kr"/>
   </connection>
   <connection>
      <map_components component_2="slow_delayed_rectifier_potassium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_Ks" variable_1="i_Ks"/>
   </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_activated_potassium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="ATP_dependent_potassium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_K_ATP" variable_1="i_K_ATP"/>
   </connection>
   <connection>
      <map_components component_2="ACh_dependent_potassium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_K_ACh" variable_1="i_K_ACh"/>
      <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="persistent_sodium_current" component_1="membrane"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="i_p_Na" variable_1="i_p_Na"/>
   </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="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_cyt" variable_1="i_NaCa_cyt"/>
      <map_variables variable_2="i_NaCa_ds" variable_1="i_NaCa_ds"/>
      <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="persistent_sodium_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_Na" variable_1="E_Na"/>
   </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="rapid_delayed_rectifier_potassium_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_K" variable_1="E_K"/>
   </connection>
   <connection>
      <map_components component_2="slow_delayed_rectifier_potassium_current" component_1="reversal_potentials"/>
      <map_variables variable_2="E_Ks" variable_1="E_Ks"/>
   </connection>
   <connection>
      <map_components component_2="sodium_activated_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="ACh_dependent_potassium_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="extracellular_potassium_concentration" component_1="ACh_dependent_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="rapid_delayed_rectifier_potassium_current"/>
      <map_variables variable_2="i_Kr" variable_1="i_Kr"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="slow_delayed_rectifier_potassium_current"/>
      <map_variables variable_2="i_Ks" variable_1="i_Ks"/>
   </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="persistent_sodium_current"/>
      <map_variables variable_2="i_p_Na" variable_1="i_p_Na"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="i_Ca_L_Na_cyt" variable_1="i_Ca_L_Na_cyt"/>
      <map_variables variable_2="i_Ca_L_Na_ds" variable_1="i_Ca_L_Na_ds"/>
      <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_cyt" variable_1="i_Ca_L_Ca_cyt"/>
      <map_variables variable_2="i_Ca_L_Ca_ds" variable_1="i_Ca_L_Ca_ds"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="Ca_ds" variable_1="Ca_ds"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_potassium_concentration" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="i_Ca_L_K_cyt" variable_1="i_Ca_L_K_cyt"/>
      <map_variables variable_2="i_Ca_L_K_ds" variable_1="i_Ca_L_K_ds"/>
      <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_activated_potassium_current"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
   </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_cyt" variable_1="i_NaCa_cyt"/>
      <map_variables variable_2="i_NaCa_ds" variable_1="i_NaCa_ds"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="Ca_ds" variable_1="Ca_ds"/>
   </connection>
   <connection>
      <map_components component_2="intracellular_sodium_concentration" component_1="sodium_calcium_exchanger"/>
      <map_variables variable_2="i_NaCa_cyt" variable_1="i_NaCa_cyt"/>
      <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"/>
      <map_variables variable_2="Ca_ds" variable_1="Ca_ds"/>
   </connection>
   <connection>
      <map_components component_2="contraction" component_1="intracellular_calcium_concentration"/>
      <map_variables variable_2="Ca_Calmod" variable_1="Ca_Calmod"/>
      <map_variables variable_2="Ca_Trop" variable_1="Ca_Trop"/>
      <map_variables variable_2="Calmod" variable_1="Calmod"/>
      <map_variables variable_2="Trop" variable_1="Trop"/>
   </connection>
   <connection>
      <map_components component_2="rapid_delayed_rectifier_potassium_current_xr1_gate" component_1="rapid_delayed_rectifier_potassium_current"/>
      <map_variables variable_2="xr1" variable_1="xr1"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="rapid_delayed_rectifier_potassium_current_xr2_gate" component_1="rapid_delayed_rectifier_potassium_current"/>
      <map_variables variable_2="xr2" variable_1="xr2"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="slow_delayed_rectifier_potassium_current_xs_gate" component_1="slow_delayed_rectifier_potassium_current"/>
      <map_variables variable_2="xs" variable_1="xs"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
   </connection>
   <connection>
      <map_components component_2="ACh_dependent_potassium_current_xACh_gate" component_1="ACh_dependent_potassium_current"/>
      <map_variables variable_2="x_ACh" variable_1="x_ACh"/>
      <map_variables variable_2="time" variable_1="time"/>
   </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="L_type_Ca_channel_f2_gate" component_1="L_type_Ca_channel"/>
      <map_variables variable_2="f2" variable_1="f2"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="V" variable_1="V"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
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    <rdf:value>This file is a CellML description of Noble, Carghese, Kohl and Noble's 1998 extension of their 1991 guinea pig ventricular cell model. This model incorporates a diadic space, IKr and IKs currents, and length and tension dependent processes. Variant 2 is parameterised for the 'extended' model.</rdf:value>
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    <rdf:value>This version was created by Penny Noble and is known to read into COR. James Lawson fixed an error (19/04/07) that prevented it reading in PCEnv (unsupported predefined operator diff in component intracellular_calcium_concentration. This variant of version 06 is the EXTENDED model, which includes everything from the BASIC variant and also acetylcholine dependent modulation and contraction modelling, but not stretch and fibroblast simulation. This model is parameterised the same as the BASIC model, with all additional variables set to zero.&#13;
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