Location: Noble, Varghese, Kohl, Noble, 1998 @ 5e6d3271980c / noble_varghese_kohl_noble_1998_a.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2009-06-17 15:21:55+12:00
Desc:
committing version07 of noble_varghese_kohl_noble_1998
Permanent Source URI:
https://staging.physiomeproject.org/workspace/noble_varghese_kohl_noble_1998/rawfile/5e6d3271980cbe51331411fd2118d31b6f874e80/noble_varghese_kohl_noble_1998_a.cellml

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<!--
This CellML file was generated on 04/09/2007 at 16:48:00 using:

COR (0.9.31.759)
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>Noble Ventricular Cell Model 1998</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 was created by Penny Noble and is known to read into COR. This variant of version 06 is parameterised for the BASIC model, excluding acetylcholine dependent modulation and electromechanical processes. Some experimentation with integrator settings may be required for optimal simulation of this model - the Adams-Moulton 1-12 integrator is reccomended. This model is also associated with a PCEnv session file.
    </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>In their 1998 paper, Denis Noble, Anthony Varghese, Peter Kohl and Penny Noble extended the guinea-pig ventricular cell model (originally developed in 1991 by Noble <emphasis>et al</emphasis>) to include accumulation and depletion of calcium in a diadic space between the sarcolemma and the sarcoplasmic reticulum, where the majority of calcium-induced calcium release is triggered.  The model also includes rapid (i_Kr) and slow (i_Ks) components of the delayed rectifier current, and length- and tension-dependent changes in mechanical and electrophysiological processes have been incorporated (see <xref linkend="fig_cell_diagram"/> below).  Drug-receptor interactions have also started to be modeled using the sodium channel as an example.  The drugs used have the effect of blocking the inactivation h-gate of the fast sodium channel.
</para>

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

<para>
<ulink url="http://www.pulsus.com/CARDIOL/14_01/nobl_ed.htm">Improved guinea-pig ventricular cell model incorporating a diadic space, I<subscript>Kr</subscript> and I<subscript>Ks</subscript>, and length- and tension-dependent processes</ulink>, Denis Noble, Anthony Varghese, Peter Kohl and Penelope Noble, 1998, <ulink url="http://www.pulsus.com/CARDIOL/home.htm">
            <emphasis>Can J Cardiol</emphasis>
          </ulink>, 14, 123-134.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=9487284&amp;dopt=Abstract">PubMed ID: 9487284</ulink>
</para>

<para>
The raw CellML description of the Noble'98 model can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>.  For an example of a more complete documentation for an electrophysiological model, see <ulink url="${HTML_EXMPL_HHSA_INTRO}">The Hodgkin-Huxley Squid Axon Model, 1952</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_1998.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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   </component>
   <component name="rapid_delayed_rectifier_potassium_current_xr2_gate">
      <variable initial_value="2e-7" name="xr2" public_interface="out" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="alpha_xr2" units="per_second"/>
      <variable name="beta_xr2" units="per_second"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_xr2</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">50</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_xr2</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.4</cn>
               <apply>
                  <exp/>
                  <apply>
                     <minus/>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="slow_delayed_rectifier_potassium_current_i_Ks" name="i_Ks" public_interface="out" units="nanoA"/>
      <variable initial_value="0.0026" name="g_Ks" units="microS"/>
      <variable name="E_Ks" public_interface="in" units="millivolt"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="xs" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ks</ci>
            <apply>
               <times/>
               <ci>g_Ks</ci>
               <apply>
                  <power/>
                  <ci>xs</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ks</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_delayed_rectifier_potassium_current_xs_gate">
      <variable initial_value="0.001302" name="xs" public_interface="out" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="alpha_xs" units="per_second"/>
      <variable name="beta_xs" units="per_second"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_xs</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">14</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_xs</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">45</cn>
               </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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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="fast_sodium_current">
      <variable name="i_Na" public_interface="out" units="nanoA"/>
      <variable initial_value="2.5" name="g_Na" units="microS"/>
      <variable name="E_mh" public_interface="in" units="millivolt"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="m" private_interface="in" units="dimensionless"/>
      <variable name="h" private_interface="in" units="dimensionless"/>
      <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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.0016203" name="m" public_interface="out" units="dimensionless"/>
      <variable name="alpha_m" units="per_second"/>
      <variable name="beta_m" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable initial_value="1e-5" name="delta_m" units="dimensionless"/>
      <variable name="E0_m" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_m</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">41</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_m</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">200</cn>
                        <ci>E0_m</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
                              </apply>
                              <ci>E0_m</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_m</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">8000</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.056</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.9944036" name="h" public_interface="out" units="dimensionless"/>
      <variable name="alpha_h" units="per_second"/>
      <variable name="beta_h" units="per_second"/>
      <variable initial_value="0" name="shift_h" units="millivolt"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_h</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">20</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.125</cn>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75</cn>
                        </apply>
                        <ci>shift_h</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_h</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">2000</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">320</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
                           </apply>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 name="i_p_Na" public_interface="out" units="nanoA"/>
      <variable initial_value="0.004" name="g_pna" units="microS"/>
      <variable name="E_Na" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <plus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">52</cn>
                              </apply>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 name="i_b_Na" public_interface="out" units="nanoA"/>
      <variable initial_value="0.0006" name="g_bna" units="microS"/>
      <variable name="Na_i" public_interface="in" units="millimolar"/>
      <variable name="E_Na" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <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 name="i_Ca_L_Ca_cyt" public_interface="out" units="nanoA"/>
      <variable name="i_Ca_L_K_cyt" public_interface="out" units="nanoA"/>
      <variable name="i_Ca_L_Na_cyt" public_interface="out" units="nanoA"/>
      <variable name="i_Ca_L_Ca_ds" public_interface="out" units="nanoA"/>
      <variable name="i_Ca_L_K_ds" public_interface="out" units="nanoA"/>
      <variable name="i_Ca_L_Na_ds" public_interface="out" units="nanoA"/>
      <variable cmeta:id="L_type_Ca_channel_i_Ca_L" name="i_Ca_L" public_interface="out" units="nanoA"/>
      <variable initial_value="0.1" name="P_Ca_L" units="nanoA_per_millimolar"/>
      <variable initial_value="0.002" name="P_CaK" units="nanoA_per_millimolar"/>
      <variable initial_value="0.01" name="P_CaNa" units="nanoA_per_millimolar"/>
      <variable name="Ca_o" public_interface="in" units="millimolar"/>
      <variable name="Ca_i" private_interface="out" public_interface="in" units="millimolar"/>
      <variable name="Ca_ds" private_interface="out" public_interface="in" units="millimolar"/>
      <variable name="K_o" public_interface="in" units="millimolar"/>
      <variable name="K_i" public_interface="in" units="millimolar"/>
      <variable name="Na_o" public_interface="in" units="millimolar"/>
      <variable name="Na_i" public_interface="in" units="millimolar"/>
      <variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="d" private_interface="in" units="dimensionless"/>
      <variable name="f" private_interface="in" units="dimensionless"/>
      <variable name="f2" private_interface="in" units="dimensionless"/>
      <variable name="f2ds" private_interface="in" units="dimensionless"/>
      <variable initial_value="100000" name="Km_f2" private_interface="out" units="millimolar"/>
      <variable initial_value="0.001" name="Km_f2ds" private_interface="out" units="millimolar"/>
      <variable initial_value="20" name="R_decay" private_interface="out" public_interface="out" units="millimolar_per_second"/>
      <variable initial_value="1" name="FrICa" units="dimensionless"/>
      <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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                           <ci>FrICa</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">100</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Ca_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">50</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>K_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">50</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Na_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">100</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Ca_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                                 </apply>
                              </apply>
                              <ci>F</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">50</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>K_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                        </apply>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">50</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Na_o</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0" name="d" public_interface="out" units="dimensionless"/>
      <variable name="alpha_d" units="per_second"/>
      <variable name="beta_d" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="E0_d" units="millivolt"/>
      <variable initial_value="3" name="speed_d" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_d</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>V</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">24</cn>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_d</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">120</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_d</ci>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.0001</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">30</cn>
                        <ci>E0_d</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <minus/>
                                 <ci>E0_d</ci>
                              </apply>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_d</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">120</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_d</ci>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.0001</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">12</cn>
                        <ci>E0_d</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>E0_d</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="1" name="f" public_interface="out" units="dimensionless"/>
      <variable name="alpha_f" units="per_second"/>
      <variable name="beta_f" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable initial_value="0.3" name="speed_f" units="dimensionless"/>
      <variable initial_value="0.0001" name="delta_f" units="dimensionless"/>
      <variable name="E0_f" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_f</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">34</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_f</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">6.25</cn>
                        <ci>E0_f</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>E0_f</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_f</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">12</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                           </apply>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">34</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.9349197" name="f2" public_interface="out" units="dimensionless"/>
      <variable name="Km_f2" public_interface="in" units="millimolar"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f2</ci>
            </apply>
            <apply>
               <minus/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">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>
      </math>
   </component>
   <component name="L_type_Ca_channel_f2ds_gate">
      <variable initial_value="0.9651958" name="f2ds" public_interface="out" units="dimensionless"/>
      <variable name="Km_f2ds" public_interface="in" units="millimolar"/>
      <variable name="R_decay" public_interface="in" units="millimolar_per_second"/>
      <variable name="Ca_ds" public_interface="in" units="millimolar"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f2ds</ci>
            </apply>
            <apply>
               <times/>
               <ci>R_decay</ci>
               <apply>
                  <minus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 name="i_b_Ca" public_interface="out" units="nanoA"/>
      <variable initial_value="0.00025" name="g_bca" units="microS"/>
      <variable name="E_Ca" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <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 name="i_to" public_interface="out" units="nanoA"/>
      <variable initial_value="0.005" name="g_to" units="microS"/>
      <variable initial_value="0" name="g_tos" units="microS"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="s" private_interface="in" units="dimensionless"/>
      <variable name="r" private_interface="in" units="dimensionless"/>
      <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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.9948645" name="s" public_interface="out" units="dimensionless"/>
      <variable name="alpha_s" units="per_second"/>
      <variable name="beta_s" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_s</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">0.033</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">17</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_s</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">33</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.125</cn>
                        </apply>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0" name="r" public_interface="out" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>r</ci>
            </apply>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">333</cn>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <plus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                                 </apply>
                              </apply>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">5</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <ci>r</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_potassium_pump">
      <variable name="i_NaK" public_interface="out" units="nanoA"/>
      <variable initial_value="0.7" name="i_NaK_max" units="nanoA"/>
      <variable initial_value="1" name="K_mK" units="millimolar"/>
      <variable initial_value="40" name="K_mNa" units="millimolar"/>
      <variable name="K_o" public_interface="in" units="millimolar"/>
      <variable name="Na_i" public_interface="in" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_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 name="i_NaCa" public_interface="out" units="nanoA"/>
      <variable name="i_NaCa_cyt" public_interface="out" units="nanoA"/>
      <variable name="i_NaCa_ds" public_interface="out" units="nanoA"/>
      <variable initial_value="0.0005" name="k_NaCa" units="nanoA"/>
      <variable initial_value="3" name="n_NaCa" units="dimensionless"/>
      <variable initial_value="0" name="d_NaCa" units="dimensionless"/>
      <variable initial_value="0.5" name="gamma" units="dimensionless"/>
      <variable initial_value="0.001" name="FRiNaCa" units="dimensionless"/>
      <variable name="Na_i" public_interface="in" units="millimolar"/>
      <variable name="Na_o" public_interface="in" units="millimolar"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="Ca_ds" public_interface="in" units="millimolar"/>
      <variable name="Ca_o" public_interface="in" units="millimolar"/>
      <variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_NaCa_cyt</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <apply>
                                    <minus/>
                                    <ci>n_NaCa</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <times/>
                        <ci>d_NaCa</ci>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <ci>Ca_i</ci>
                              <apply>
                                 <power/>
                                 <ci>Na_o</ci>
                                 <ci>n_NaCa</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>Ca_o</ci>
                              <apply>
                                 <power/>
                                 <ci>Na_i</ci>
                                 <ci>n_NaCa</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Ca_i</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <apply>
                                    <minus/>
                                    <ci>n_NaCa</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Ca_ds</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 name="i_up" public_interface="out" units="millimolar_per_second"/>
      <variable name="K_1" units="per_second"/>
      <variable name="K_2" units="per_second"/>
      <variable initial_value="0.0003" name="K_cyca" units="millimolar"/>
      <variable initial_value="0.4" name="K_xcs" units="millimolar"/>
      <variable initial_value="0.5" name="K_srca" units="millimolar"/>
      <variable initial_value="0.4" name="alpha_up" units="per_second"/>
      <variable initial_value="0.03" name="beta_up" units="per_second"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="Ca_up" public_interface="in" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>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 name="i_trans" public_interface="out" units="millimolar_per_second"/>
      <variable name="Ca_rel" public_interface="in" units="millimolar"/>
      <variable name="Ca_up" public_interface="in" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_trans</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 name="i_rel" public_interface="out" units="millimolar_per_second"/>
      <variable name="VoltDep" units="millivolt"/>
      <variable name="RegBindSite" units="dimensionless"/>
      <variable name="CaiReg" units="dimensionless"/>
      <variable name="CadsReg" units="dimensionless"/>
      <variable name="ActRate" units="per_second"/>
      <variable name="InactRate" units="per_second"/>
      <variable initial_value="0.05" name="K_leak_rate" units="per_second"/>
      <variable initial_value="250" name="K_m_rel" units="per_second"/>
      <variable initial_value="0.0005" name="K_m_Ca_cyt" units="millimolar"/>
      <variable initial_value="0.01" name="K_m_Ca_ds" units="millimolar"/>
      <variable name="PrecFrac" units="dimensionless"/>
      <variable initial_value="0.0042614" name="ActFrac" units="dimensionless"/>
      <variable initial_value="0.4068154" name="ProdFrac" units="dimensionless"/>
      <variable name="SpeedRel" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="Ca_ds" public_interface="in" units="millimolar"/>
      <variable name="Ca_rel" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>VoltDep</ci>
            <apply>
               <exp/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.08</cn>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">0</cn>
                  <ci>VoltDep</ci>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">500</cn>
                  <apply>
                     <power/>
                     <ci>RegBindSite</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>InactRate</ci>
            <apply>
               <plus/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">60</cn>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">500</cn>
                  <apply>
                     <power/>
                     <ci>RegBindSite</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>SpeedRel</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">5</cn>
                  <apply>
                     <lt/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>PrecFrac</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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>
                  <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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.25</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                     <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 initial_value="140" name="Na_o" public_interface="out" units="millimolar"/>
   </component>
   <component name="intracellular_sodium_concentration">
      <variable initial_value="7.3321223" name="Na_i" public_interface="out" units="millimolar"/>
      <variable name="V_i" public_interface="in" units="microlitre"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="i_Na" public_interface="in" units="nanoA"/>
      <variable name="i_b_Na" public_interface="in" units="nanoA"/>
      <variable name="i_p_Na" public_interface="in" units="nanoA"/>
      <variable name="i_Ca_L_Na_cyt" public_interface="in" units="nanoA"/>
      <variable name="i_Ca_L_Na_ds" public_interface="in" units="nanoA"/>
      <variable name="i_NaK" public_interface="in" units="nanoA"/>
      <variable name="i_NaCa_cyt" public_interface="in" units="nanoA"/>
      <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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_i</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <ci>i_Na</ci>
                  <ci>i_p_Na</ci>
                  <ci>i_b_Na</ci>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>i_NaK</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="2" name="Ca_o" public_interface="out" units="millimolar"/>
   </component>
   <component name="extracellular_potassium_concentration">
      <variable initial_value="4" name="K_o" public_interface="out" units="millimolar"/>
   </component>
   <component name="intracellular_potassium_concentration">
      <variable initial_value="136.5644281" name="K_i" public_interface="out" units="millimolar"/>
      <variable name="V_i" public_interface="in" units="microlitre"/>
      <variable name="i_K1" public_interface="in" units="nanoA"/>
      <variable name="i_Kr" public_interface="in" units="nanoA"/>
      <variable name="i_Ks" public_interface="in" units="nanoA"/>
      <variable name="i_Ca_L_K_cyt" public_interface="in" units="nanoA"/>
      <variable name="i_Ca_L_K_ds" public_interface="in" units="nanoA"/>
      <variable name="i_to" public_interface="in" units="nanoA"/>
      <variable name="i_NaK" public_interface="in" units="nanoA"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_i</ci>
            </apply>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_i</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>i_K1</ci>
                     <ci>i_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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>i_NaK</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_calcium_concentration">
      <variable initial_value="1.4e-5" name="Ca_i" public_interface="out" units="millimolar"/>
      <variable initial_value="1.88e-5" name="Ca_ds" public_interface="out" units="millimolar"/>
      <variable initial_value="0.4531889" name="Ca_up" public_interface="out" units="millimolar"/>
      <variable initial_value="0.4481927" name="Ca_rel" public_interface="out" units="millimolar"/>
      <variable initial_value="0.0005555" name="Ca_Calmod" units="millimolar"/>
      <variable initial_value="0.0003542" name="Ca_Trop" units="millimolar"/>
      <variable initial_value="0.02" name="Calmod" units="millimolar"/>
      <variable initial_value="0.05" name="Trop" units="millimolar"/>
      <variable initial_value="100000" name="alpha_Calmod" units="per_second"/>
      <variable initial_value="50" name="beta_Calmod" units="per_second"/>
      <variable initial_value="100000" name="alpha_Trop" units="per_second"/>
      <variable initial_value="200" name="beta_Trop" units="per_second"/>
      <variable initial_value="12" name="radius" units="micrometre"/>
      <variable initial_value="74" name="length" units="micrometre"/>
      <variable name="V_i" public_interface="out" units="microlitre"/>
      <variable name="V_Cell" units="microlitre"/>
      <variable name="V_i_ratio" units="dimensionless"/>
      <variable initial_value="0.1" name="V_ds_ratio" units="dimensionless"/>
      <variable initial_value="0.1" name="V_rel_ratio" units="dimensionless"/>
      <variable initial_value="0.4" name="V_e_ratio" units="dimensionless"/>
      <variable initial_value="0.01" name="V_up_ratio" units="dimensionless"/>
      <variable initial_value="10" name="Kdecay" units="per_second"/>
      <variable name="i_up" public_interface="in" units="millimolar_per_second"/>
      <variable name="i_trans" public_interface="in" units="millimolar_per_second"/>
      <variable name="i_rel" public_interface="in" units="millimolar_per_second"/>
      <variable name="i_NaCa_cyt" public_interface="in" units="nanoA"/>
      <variable name="i_NaCa_ds" public_interface="in" units="nanoA"/>
      <variable name="i_Ca_L_Ca_cyt" public_interface="in" units="nanoA"/>
      <variable name="i_Ca_L_Ca_ds" public_interface="in" units="nanoA"/>
      <variable name="i_b_Ca" public_interface="in" units="nanoA"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>V_Cell</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3.141592654</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>radius</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1000</cn>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  </apply>
                  <ci>length</ci>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1000</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_i_ratio</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                    </apply>
                    <apply>
                      <times/>
                      <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                      <ci>V_i</ci>
                      <ci>F</ci>
                    </apply>
                  </apply>
                  <apply>
                    <minus/>
                    <apply>
                      <plus/>
                      <ci>i_Ca_L_Ca_cyt</ci>
                      <ci>i_b_Ca</ci>
                    </apply>
                    <apply>
                      <times/>
                      <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                      <ci>i_NaCa_cyt</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>
              <ci>dCaCalmoddt</ci>
            </apply>
            <ci>dCaTropdt</ci>
          </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>
                     <minus/>
                     <apply>
                        <minus/>
                        <ci>i_Ca_L_Ca_ds</ci>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                           <ci>i_NaCa_ds</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</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>
      <apply>
        <eq/>
        <ci>dCaTropdt</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>alpha_Trop</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus/>
              <ci>Trop</ci>
              <ci>Ca_Trop</ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci>beta_Trop</ci>
            <ci>Ca_Trop</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>dCaCalmoddt</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>alpha_Calmod</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus/>
              <ci>Calmod</ci>
              <ci>Ca_Calmod</ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci>beta_Calmod</ci>
            <ci>Ca_Calmod</ci>
          </apply>
        </apply>
      </apply>
    </math>
   <variable name="dCaCalmoddt" units="millimolar_per_second"/>
    <variable name="dCaTropdt" units="millimolar_per_second"/>
  </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="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="sodium_potassium_pump"/>
         <component_ref component="sodium_calcium_exchanger"/>
         <component_ref component="sarcoplasmic_reticulum_calcium_pump"/>
         <component_ref component="calcium_translocation"/>
         <component_ref component="calcium_release"/>
         <component_ref component="extracellular_sodium_concentration"/>
         <component_ref component="intracellular_sodium_concentration"/>
         <component_ref component="extracellular_potassium_concentration"/>
         <component_ref component="intracellular_potassium_concentration"/>
         <component_ref component="extracellular_calcium_concentration"/>
         <component_ref component="intracellular_calcium_concentration"/>
         <component_ref component="reversal_potentials"/>
      </component_ref>
   </group>
   <group>
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="fast_sodium_current">
         <component_ref component="fast_sodium_current_m_gate"/>
         <component_ref component="fast_sodium_current_h_gate"/>
      </component_ref>
      <component_ref component="L_type_Ca_channel">
         <component_ref component="L_type_Ca_channel_d_gate"/>
         <component_ref component="L_type_Ca_channel_f_gate"/>
         <component_ref component="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>
   </group>
   <connection>
      <map_components component_1="membrane" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
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    <dc:title>Improved guinea-pig ventricular cell model incorporating a diadic space, IKr and IKs, and length- and tension-dependent processes.</dc:title>
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    <dc:title>Canadian Journal of Cardiology</dc:title>
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    <rdf:value>Penny Noble was informed by a community member that INaCads was not included in the dCads/dt ODE and hence the system was out of balance. This has been fixed in version 07. An alteration was also made to the model to remove two differential expressions in the intracellular_calcium concentration component to allow PCEnv 0.2 to run the model.</rdf:value>
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