Rendering of the source text

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<article>
  <articleinfo>
  <title>Model study of ATP and ADP buffering, transport of Ca(2+) and Mg(2+), and regulation of ion pumps in ventricular myocyte</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
        This CellML model runs in both COR and OpenCell to recreate the published results.  The units have been checked and they are consistent. We thank the original model author Anushka Michailova for providing us with the MATLAB code for this model. Please note when running a simultaion the step size has to be smaller than 0.005 seconds.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: We extended the model of the ventricular myocyte by Winslow et al. (Circ. Res 1999, 84:571-586) by incorporating equations for Ca(2+) and Mg(2+) buffering and transport by ATP and ADP and equations for MgATP regulation of ion transporters (Na(+)-K(+) pump, sarcolemmal and sarcoplasmic Ca(2+) pumps). The results indicate that, under normal conditions, Ca(2+) binding by low-affinity ATP and diffusion of CaATP may affect the amplitude and time course of intracellular Ca(2+) signals. The model also suggests that a fall in ATP/ADP ratio significantly reduces sarcoplasmic Ca(2+) content, increases diastolic Ca(2+), lowers systolic Ca(2+), increases Ca(2+) influx through L-type channels, and decreases the efficiency of the Na(+)/Ca(2+) exchanger in extruding Ca(2+) during periodic voltage-clamp stimulation. The analysis suggests that the most important reason for these changes during metabolic inhibition is the down-regulation of the sarcoplasmic Ca(2+)-ATPase pump by reduced diastolic MgATP levels. High Ca(2+) concentrations developed near the membrane might have a greater influence on Mg(2+), ATP, and ADP concentrations than that of the lower Ca(2+) concentrations in the bulk myoplasm. The model predictions are in general agreement with experimental observations measured under normal and pathological conditions.
</para>

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

<para>
Model study of ATP and ADP buffering, transport of Ca(2+) and Mg(2+), and regulation of ion pumps in ventricular myocyte, Anushka Michailova and Andrew McCulloch, 2001, <emphasis>Biophysical Journal</emphasis>, 81, 614-629.  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/11463611">PubMed ID: 11463611</ulink>
</para>

<informalfigure float="0" id="fig_cell_diagram">
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      <title>cell diagram</title>
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    <imagedata fileref="michailova_mcculloch_2001.png"/>
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<caption>Schematic diagram of the mechanisms involved in the model.</caption>
</informalfigure>

</sect1>
</article>
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                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.311</cn>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">79.23</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <lt/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">0</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_j</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">121.2</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.01052</cn>
                              </apply>
                              <ci>V</ci>
                           </apply>
                        </apply>
                     </apply>
                     <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="per_millivolt">0.1378</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40.14</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <lt/>
                     <ci>V</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">300</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0000002535</cn>
                              </apply>
                              <ci>V</ci>
                           </apply>
                        </apply>
                     </apply>
                     <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="per_millivolt">0.1</cn>
                              </apply>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">32</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>j</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_j</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>j</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_j</ci>
                  <ci>j</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="rapid_activating_delayed_rectifiyer_K_current">
      <variable cmeta:id="rapid_activating_delayed_rectifiyer_K_current_i_Kr" name="i_Kr" public_interface="out" units="microA_per_microF"/>
      <variable name="E_K" public_interface="out" units="millivolt"/>
      <variable initial_value="0.0034" name="g_Kr" units="milliS_per_microF"/>
      <variable name="f_K_o" units="dimensionless"/>
      <variable name="R_V" units="dimensionless"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="K_o" public_interface="in" units="millimolar"/>
      <variable name="K_i" public_interface="in" units="millimolar"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="X_kr" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_K</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <ci>F</ci>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <ci>K_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>f_K_o</ci>
            <apply>
               <root/>
               <apply>
                  <divide/>
                  <ci>K_o</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">4</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>R_V</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.4945</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0446</cn>
                           <ci>V</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Kr</ci>
            <apply>
               <times/>
               <ci>g_Kr</ci>
               <ci>f_K_o</ci>
               <ci>R_V</ci>
               <ci>X_kr</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate">
      <variable initial_value="0.51" name="X_kr" public_interface="out" units="dimensionless"/>
      <variable name="K12" units="dimensionless"/>
      <variable name="K21" units="dimensionless"/>
      <variable name="X_kr_inf" units="dimensionless"/>
      <variable name="tau_X_kr" units="second"/>
      <variable initial_value="1" name="tau_factor" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K12</ci>
            <apply>
               <exp/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">5.495</cn>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1691</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K21</ci>
            <apply>
               <exp/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">7.677</cn>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0128</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>X_kr_inf</ci>
            <apply>
               <divide/>
               <ci>K12</ci>
               <apply>
                  <plus/>
                  <ci>K12</ci>
                  <ci>K21</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_X_kr</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.001</cn>
                  <apply>
                     <plus/>
                     <ci>K12</ci>
                     <ci>K21</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>tau_factor</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.027</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>X_kr</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>X_kr_inf</ci>
                  <ci>X_kr</ci>
               </apply>
               <ci>tau_X_kr</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="slow_activating_delayed_rectifiyer_K_current">
      <variable cmeta:id="slow_activating_delayed_rectifiyer_K_current_i_Ks" name="i_Ks" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.0027134" name="g_Ks" units="milliS_per_microF"/>
      <variable name="E_Ks" 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="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="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="X_ks" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Ks</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <ci>F</ci>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>K_o</ci>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01833</cn>
                           <ci>Na_o</ci>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>K_i</ci>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01833</cn>
                           <ci>Na_i</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ks</ci>
            <apply>
               <times/>
               <ci>g_Ks</ci>
               <apply>
                  <power/>
                  <ci>X_ks</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_activating_delayed_rectifiyer_K_current_X_ks_gate">
      <variable initial_value="0.264" name="X_ks" public_interface="out" units="dimensionless"/>
      <variable name="tau_X_ks" units="second"/>
      <variable name="X_ks_infinity" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>X_ks_infinity</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">24.7</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.6</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_X_ks</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.001</cn>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0000719</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                        </apply>
                     </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="per_millivolt">0.148</cn>
                              </apply>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.000131</cn>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0687</cn>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                              </apply>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>X_ks</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>X_ks_infinity</ci>
                  <ci>X_ks</ci>
               </apply>
               <ci>tau_X_ks</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_potassium_current">
      <variable cmeta:id="transient_outward_potassium_current_i_to1" name="i_to1" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.23815" name="g_to1" units="milliS_per_microF"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="X_to1" private_interface="in" units="dimensionless"/>
      <variable name="Y_to1" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_to1</ci>
            <apply>
               <times/>
               <ci>g_to1</ci>
               <ci>X_to1</ci>
               <ci>Y_to1</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_potassium_current_X_to1_gate">
      <variable initial_value="2.63" name="X_to1" public_interface="out" units="dimensionless"/>
      <variable name="alpha_X_to1" units="per_second"/>
      <variable name="beta_X_to1" 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_X_to1</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">45.16</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.03577</cn>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_X_to1</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">98.9</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.06237</cn>
                     </apply>
                     <ci>V</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>X_to1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_X_to1</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>X_to1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_X_to1</ci>
                  <ci>X_to1</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_outward_potassium_current_Y_to1_gate">
      <variable initial_value="0.99" name="Y_to1" public_interface="out" units="dimensionless"/>
      <variable name="alpha_Y_to1" units="per_second"/>
      <variable name="beta_Y_to1" 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_Y_to1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">5.415</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">33.5</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                     </apply>
                  </apply>
               </apply>
               <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">0.051335</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">33.5</cn>
                              </apply>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_Y_to1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">5.415</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">33.5</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                     </apply>
                  </apply>
               </apply>
               <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">0.051335</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">33.5</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Y_to1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_Y_to1</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>Y_to1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_Y_to1</ci>
                  <ci>Y_to1</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_independent_potassium_current">
      <variable cmeta:id="time_independent_potassium_current_i_K1" name="i_K1" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="2.8" name="g_K1" units="milliS_per_microF"/>
      <variable initial_value="13" name="K_mK1" units="millimolar"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="R" private_interface="out" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
      <variable name="F" private_interface="out" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="E_K" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="K_o" public_interface="in" units="millimolar"/>
      <variable name="K1_infinity_V" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_K1</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>g_K1</ci>
                     <ci>K1_infinity_V</ci>
                     <ci>K_o</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>K_o</ci>
                     <ci>K_mK1</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_independent_potassium_current_K1_gate">
      <variable name="K1_infinity_V" public_interface="out" units="dimensionless"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K1_infinity_V</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                        <apply>
                           <minus/>
                           <ci>V</ci>
                           <ci>E_K</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="plateau_potassium_current">
      <variable cmeta:id="plateau_potassium_current_i_Kp" name="i_Kp" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.002216" name="g_Kp" units="milliS_per_microF"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="Kp_V" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Kp</ci>
            <apply>
               <times/>
               <ci>g_Kp</ci>
               <ci>Kp_V</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="plateau_potassium_current_Kp_gate">
      <variable name="Kp_V" 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/>
            <ci>Kp_V</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">7.488</cn>
                           <ci>V</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5.98</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Na_Ca_exchanger">
      <variable cmeta:id="Na_Ca_exchanger_i_NaCa" name="i_NaCa" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="1.38" name="K_mCa" units="millimolar"/>
      <variable initial_value="87.5" name="K_mNa" units="millimolar"/>
      <variable initial_value="0.3" name="K_NaCa" units="microA_per_microF"/>
      <variable initial_value="0.2" name="K_sat" units="dimensionless"/>
      <variable initial_value="0.35" name="eta" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <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_o" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_NaCa</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>K_NaCa</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">5000</cn>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <ci>K_mNa</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Na_o</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>K_mCa</ci>
                        <ci>Ca_o</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>K_sat</ci>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <apply>
                                       <minus/>
                                       <ci>eta</ci>
                                       <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                    </apply>
                                    <ci>V</ci>
                                    <ci>F</ci>
                                 </apply>
                                 <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>eta</ci>
                              <ci>V</ci>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <ci>Na_i</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>Ca_o</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>eta</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                              </apply>
                              <ci>V</ci>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <ci>Na_o</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>Ca_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   
   <component name="sodium_potassium_pump">
      <variable cmeta:id="sodium_potassium_pump_i_NaK" name="i_NaK" public_interface="out" units="microA_per_microF"/>
	  
	  <variable name="i_NaK_winslow" units="microA_per_microF"/>
	  <variable initial_value="0.693" name="I_NaK" units="microA_per_microF"/>
      <variable name="f_NaK" units="dimensionless"/>
      <variable initial_value="10" name="K_mNa_i" units="millimolar"/>
      <variable initial_value="1.5" name="K_mK_o" units="millimolar"/>
      <variable name="sigma" units="dimensionless"/>
	  
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="Na_i" public_interface="in" units="millimolar"/>
      <variable name="Na_o" public_interface="in" units="millimolar"/>
      <variable name="K_o" public_interface="in" units="millimolar"/>
	  <variable name="MgATP_i" public_interface="in" units="millimolar"/>
	  <variable name="MgATP_i0" public_interface="in" units="millimolar"/>
      
	  <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>f_NaK</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1245</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
                              </apply>
                              <ci>V</ci>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.0365</cn>
                     <ci>sigma</ci>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                              </apply>
                              <ci>F</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>sigma</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">7</cn>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>Na_o</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">67.3</cn>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
		 
		 <apply>
            <eq/>
            <ci>i_NaK</ci>
            <apply>
               <times/>
			   <apply>
                  <divide/>
				  <ci>MgATP_i</ci>
				  <ci>MgATP_i0</ci>
			   </apply>
			   <ci>i_NaK_winslow</ci>
			</apply>
		 </apply>
         
		 <apply>
            <eq/>
            <ci>i_NaK_winslow</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>I_NaK</ci>
                        <ci>f_NaK</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>K_mNa_i</ci>
                              <ci>Na_i</ci>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>K_o</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_o</ci>
                  <ci>K_mK_o</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   
   <component name="sarcolemmal_calcium_pump">
      <variable cmeta:id="sarcolemmal_calcium_pump_i_p_Ca" name="i_p_Ca" public_interface="out" units="microA_per_microF"/>
      
	  <variable name="i_p_Ca_winslow" units="microA_per_microF"/>
	  <variable initial_value="0.00005" name="K_mpCa" units="millimolar"/>
      <variable initial_value="0.05" name="I_pCa" units="microA_per_microF"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
	  <variable name="MgATP_i" public_interface="in" units="millimolar"/>
	  <variable name="MgATP_i0" public_interface="in" units="millimolar"/>
	  
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_p_Ca</ci>
            <apply>
               <times/>
			   <apply>
                  <divide/>
				  <ci>MgATP_i</ci>
				  <ci>MgATP_i0</ci>
			   </apply>
			   <ci>i_p_Ca_winslow</ci>
			</apply>
		 </apply>
		 
		 <apply>
            <eq/>
            <ci>i_p_Ca_winslow</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>I_pCa</ci>
                  <ci>Ca_i</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_mpCa</ci>
                  <ci>Ca_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   
   <component name="calcium_background_current">
      <variable cmeta:id="calcium_background_current_i_Ca_b" name="i_Ca_b" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.0003842" name="g_Cab" units="milliS_per_microF"/>
      <variable name="E_Ca" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="Ca_o" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Ca</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>R</ci>
                     <ci>T</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>F</ci>
                  </apply>
               </apply>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Ca_o</ci>
                     <ci>Ca_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_b</ci>
            <apply>
               <times/>
               <ci>g_Cab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_background_current">
      <variable cmeta:id="sodium_background_current_i_Na_b" name="i_Na_b" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="0.0031" name="g_Nab" units="milliS_per_microF"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="E_Na" public_interface="in" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Na_b</ci>
            <apply>
               <times/>
               <ci>g_Nab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_current">
      <variable cmeta:id="L_type_Ca_current_i_Ca" name="i_Ca" public_interface="out" units="microA_per_microF"/>
      <variable cmeta:id="L_type_Ca_current_i_Ca_K" name="i_Ca_K" public_interface="out" units="microA_per_microF"/>
      <variable initial_value="3.125e-4" name="P_Ca" units="cm_per_second"/>
      <variable initial_value="5.79e-7" name="P_K" units="cm_per_second"/>
      <variable name="p_prime_k" units="cm_per_second"/>
      <variable initial_value="-0.265" name="i_Ca_half" units="microA_per_microF"/>
      <variable name="i_Ca_max" units="microA_per_microF"/>
      <variable initial_value="9.84546e-21" name="O" units="dimensionless"/>
      <variable initial_value="0" name="O_Ca" units="dimensionless"/>
      <variable name="alpha" units="per_second"/>
      <variable name="beta" units="per_second"/>
      <variable name="gamma" units="per_second"/>
      <variable name="alpha_a" units="per_second"/>
      <variable name="beta_b" units="per_second"/>
      <variable initial_value="2" name="a" units="dimensionless"/>
      <variable initial_value="2" name="b" units="dimensionless"/>
      <variable initial_value="2000" name="g" units="per_second"/>
      <variable initial_value="300" name="f" units="per_second"/>
      <variable initial_value="7000" name="gprime" units="per_second"/>
      <variable initial_value="7" name="fprime" units="per_second"/>
      <variable initial_value="10" name="omega" units="per_second"/>
      <variable initial_value="0.997208" name="C0" units="dimensionless"/>
      <variable initial_value="6.38897e-5" name="C1" units="dimensionless"/>
      <variable initial_value="1.535e-9" name="C2" units="dimensionless"/>
      <variable initial_value="1.63909e-14" name="C3" units="dimensionless"/>
      <variable initial_value="6.56337e-20" name="C4" units="dimensionless"/>
      <variable initial_value="0.00272826" name="C_Ca0" units="dimensionless"/>
      <variable initial_value="6.99215e-7" name="C_Ca1" units="dimensionless"/>
      <variable initial_value="6.71989e-11" name="C_Ca2" units="dimensionless"/>
      <variable initial_value="2.87031e-15" name="C_Ca3" units="dimensionless"/>
      <variable initial_value="4.59752e-20" name="C_Ca4" units="dimensionless"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="C_sc" public_interface="in" units="microF_per_cm2"/>
      <variable name="Ca_ss" public_interface="in" units="millimolar"/>
      <variable name="Ca_o" 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="R" public_interface="in" units="joule_per_mole_kelvin"/>
      <variable name="T" public_interface="in" units="kelvin"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="y" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Ca</ci>
            <apply>
               <times/>
               <ci>i_Ca_max</ci>
               <ci>y</ci>
               <apply>
                  <plus/>
                  <ci>O</ci>
                  <ci>O_Ca</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_K</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>p_prime_k</ci>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second_per_millisecond">1</cn>
                           </apply>
                        </apply>
                        <ci>y</ci>
                        <apply>
                           <plus/>
                           <ci>O</ci>
                           <ci>O_Ca</ci>
                        </apply>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>K_i</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <ci>K_o</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>p_prime_k</ci>
            <apply>
               <divide/>
               <ci>P_K</ci>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>i_Ca_max</ci>
                     <ci>i_Ca_half</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_max</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>P_Ca</ci>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second_per_millisecond">1</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        <ci>V</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1000</cn>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.001</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                                 <ci>V</ci>
                                 <ci>F</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.341</cn>
                        <ci>Ca_o</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                           <ci>V</ci>
                           <ci>F</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">400</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">2</cn>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">50</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">2</cn>
                        </apply>
                     </apply>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_a</ci>
            <apply>
               <times/>
               <ci>alpha</ci>
               <ci>a</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_b</ci>
            <apply>
               <divide/>
               <ci>beta</ci>
               <ci>b</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>gamma</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">103.75</cn>
                  <ci>Ca_ss</ci>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C0</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>beta</ci>
                     <ci>C1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>omega</ci>
                     <ci>C_Ca0</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        <ci>alpha</ci>
                     </apply>
                     <ci>gamma</ci>
                  </apply>
                  <ci>C0</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>alpha</ci>
                     <ci>C0</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>beta</ci>
                     <ci>C2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <ci>b</ci>
                     </apply>
                     <ci>C_Ca1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>beta</ci>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        <ci>alpha</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <ci>a</ci>
                     </apply>
                  </apply>
                  <ci>C1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>alpha</ci>
                     <ci>C1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>beta</ci>
                     <ci>C3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <ci>C_Ca2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>alpha</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <apply>
                           <power/>
                           <ci>a</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C3</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>alpha</ci>
                     <ci>C2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>beta</ci>
                     <ci>C4</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                     <ci>C_Ca3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>alpha</ci>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <apply>
                           <power/>
                           <ci>a</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C4</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>alpha</ci>
                     <ci>C3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>g</ci>
                     <ci>O</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                     <ci>C_Ca4</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     </apply>
                     <ci>f</ci>
                     <apply>
                        <times/>
                        <ci>gamma</ci>
                        <apply>
                           <power/>
                           <ci>a</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C4</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>f</ci>
                  <ci>C4</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>g</ci>
                  <ci>O</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca0</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>beta_b</ci>
                     <ci>C_Ca1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <ci>C0</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        <ci>alpha_a</ci>
                     </apply>
                     <ci>omega</ci>
                  </apply>
                  <ci>C_Ca0</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>alpha_a</ci>
                     <ci>C_Ca0</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>beta_b</ci>
                     <ci>C_Ca2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <ci>a</ci>
                     <ci>C1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>beta_b</ci>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        <ci>alpha_a</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <ci>b</ci>
                     </apply>
                  </apply>
                  <ci>C_Ca1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>alpha_a</ci>
                     <ci>C_Ca1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     <ci>beta_b</ci>
                     <ci>C_Ca3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <apply>
                        <power/>
                        <ci>a</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                     <ci>C2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta_b</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <ci>alpha_a</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C_Ca2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca3</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <ci>alpha_a</ci>
                     <ci>C_Ca2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>beta_b</ci>
                     <ci>C_Ca4</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <apply>
                        <power/>
                        <ci>a</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>C3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta_b</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <ci>alpha_a</ci>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C_Ca3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>C_Ca4</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>alpha_a</ci>
                     <ci>C_Ca3</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gprime</ci>
                     <ci>O_Ca</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>gamma</ci>
                     <apply>
                        <power/>
                        <ci>a</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     </apply>
                     <ci>C4</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>beta_b</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     </apply>
                     <ci>fprime</ci>
                     <apply>
                        <divide/>
                        <ci>omega</ci>
                        <apply>
                           <power/>
                           <ci>b</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>C_Ca4</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O_Ca</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>fprime</ci>
                  <ci>C_Ca4</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>gprime</ci>
                  <ci>O_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="L_type_Ca_current_y_gate">
      <variable initial_value="0.798" name="y" public_interface="out" units="dimensionless"/>
      <variable name="y_infinity" units="dimensionless"/>
      <variable name="tau_y" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>y_infinity</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.8</cn>
                  <apply>
                     <plus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">12.5</cn>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.2</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_y</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">20</cn>
                  <apply>
                     <divide/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">600</cn>
                     <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
                              </apply>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9.5</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1000</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>y</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>y_infinity</ci>
                  <ci>y</ci>
               </apply>
               <ci>tau_y</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="RyR_channel">
      <variable cmeta:id="RyR_channel_J_rel" name="J_rel" public_interface="out" units="millimolar_per_second"/>
      <variable initial_value="1800" name="v1" units="per_second"/>
      <variable initial_value="1.215e13" name="k_a_plus" units="millimolar4_per_second"/>
      <variable initial_value="576" name="k_a_minus" units="per_second"/>
      <variable initial_value="4.05e9" name="k_b_plus" units="millimolar3_per_second"/>
      <variable initial_value="1930" name="k_b_minus" units="per_second"/>
      <variable initial_value="100" name="k_c_plus" units="per_second"/>
      <variable initial_value="0.8" name="k_c_minus" units="per_second"/>
      <variable initial_value="0" name="P_O1" units="dimensionless"/>
      <variable initial_value="0" name="P_O2" units="dimensionless"/>
      <variable initial_value="0.47" name="P_C1" units="dimensionless"/>
      <variable initial_value="0.53" name="P_C2" units="dimensionless"/>
      <variable initial_value="4" name="n" units="dimensionless"/>
      <variable initial_value="3" name="m" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Ca_ss" public_interface="in" units="millimolar"/>
      <variable name="Ca_JSR" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_C1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>k_a_plus</ci>
                  </apply>
                  <apply>
                     <power/>
                     <ci>Ca_ss</ci>
                     <ci>n</ci>
                  </apply>
                  <ci>P_C1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_a_minus</ci>
                  <ci>P_O1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_O1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>k_a_plus</ci>
                     <apply>
                        <power/>
                        <ci>Ca_ss</ci>
                        <ci>n</ci>
                     </apply>
                     <ci>P_C1</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>k_a_minus</ci>
                        <ci>P_O1</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_b_plus</ci>
                        <apply>
                           <power/>
                           <ci>Ca_ss</ci>
                           <ci>m</ci>
                        </apply>
                        <ci>P_O1</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_c_plus</ci>
                        <ci>P_O1</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_b_minus</ci>
                  <ci>P_O2</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_c_minus</ci>
                  <ci>P_C2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_O2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_b_plus</ci>
                  <apply>
                     <power/>
                     <ci>Ca_ss</ci>
                     <ci>m</ci>
                  </apply>
                  <ci>P_O1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_b_minus</ci>
                  <ci>P_O2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P_C2</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_c_plus</ci>
                  <ci>P_O1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_c_minus</ci>
                  <ci>P_C2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_rel</ci>
            <apply>
               <times/>
               <ci>v1</ci>
               <apply>
                  <plus/>
                  <ci>P_O1</ci>
                  <ci>P_O2</ci>
               </apply>
               <apply>
                  <minus/>
                  <ci>Ca_JSR</ci>
                  <ci>Ca_ss</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   
   <component name="SERCA2a_pump">
      <variable cmeta:id="SERCA2a_pump_J_up" name="J_up" public_interface="out" units="millimolar_per_second"/>
	  
	  <variable name="J_up_winslow" units="millimolar_per_second"/>
      <variable initial_value="0.000168" name="K_fb" units="millimolar"/>
      <variable initial_value="3.29" name="K_rb" units="millimolar"/>
      <variable name="fb" units="dimensionless"/>
      <variable name="rb" units="dimensionless"/>
      <variable initial_value="0.0813" name="Vmaxf" units="millimolar_per_second"/>
      <variable initial_value="0.318" name="Vmaxr" units="millimolar_per_second"/>
      <variable initial_value="1" name="K_SR" units="dimensionless"/>
      <variable initial_value="1.2" name="N_fb" units="dimensionless"/>
      <variable initial_value="1" name="N_rb" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="Ca_NSR" public_interface="in" units="millimolar"/>
	  <variable name="MgATP_i" public_interface="in" units="millimolar"/>
	  <variable name="MgATP_i0" public_interface="in" units="millimolar"/>
	  
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>fb</ci>
            <apply>
               <power/>
               <apply>
                  <divide/>
                  <ci>Ca_i</ci>
                  <ci>K_fb</ci>
               </apply>
               <ci>N_fb</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>rb</ci>
            <apply>
               <power/>
               <apply>
                  <divide/>
                  <ci>Ca_NSR</ci>
                  <ci>K_rb</ci>
               </apply>
               <ci>N_rb</ci>
            </apply>
         </apply>
		 
		 <apply>
            <eq/>
            <ci>J_up</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>MgATP_i</ci>
				  <ci>MgATP_i0</ci>
			   </apply>
               <ci>J_up_winslow</ci>
            </apply>
         </apply>
         
		 <apply>
            <eq/>
            <ci>J_up_winslow</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_SR</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>Vmaxf</ci>
                        <ci>fb</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Vmaxr</ci>
                        <ci>rb</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <ci>fb</ci>
                  <ci>rb</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   
   <component name="intracellular_Ca_fluxes">
      <variable cmeta:id="intracellular_Ca_fluxes_J_tr" name="J_tr" public_interface="out" units="millimolar_per_second"/>
      <variable cmeta:id="intracellular_Ca_fluxes_J_xfer" name="J_xfer" public_interface="out" units="millimolar_per_second"/>
      <variable name="J_trpn" public_interface="out" units="millimolar_per_second"/>
	  
      <variable initial_value="0.0005747" name="tau_tr" units="second"/>
      <variable initial_value="0.0267" name="tau_xfer" units="second"/>
      <variable initial_value="0.98" name="HTRPNCa" units="millimolar"/>
      <variable initial_value="0.078" name="LTRPNCa" units="millimolar"/>
      <variable name="J_HTRPNCa" units="millimolar_per_second"/>
      <variable name="J_LTRPNCa" units="millimolar_per_second"/>
      <variable initial_value="0.14" name="HTRPN_tot" units="dimensionless"/>
      <variable initial_value="0.07" name="LTRPN_tot" units="dimensionless"/>
      <variable initial_value="20000" name="k_htrpn_plus" units="per_millimolar_second"/>
      <variable initial_value="0.066" name="k_htrpn_minus" units="per_second"/>
      <variable initial_value="40000" name="k_ltrpn_plus" units="per_millimolar_second"/>
      <variable initial_value="40" name="k_ltrpn_minus" units="per_second"/>
      
	  <variable name="time" public_interface="in" units="second"/>
      <variable name="Ca_ss" public_interface="in" units="millimolar"/>
      <variable name="Ca_i" public_interface="in" units="millimolar"/>
      <variable name="Ca_NSR" public_interface="in" units="millimolar"/>
      <variable name="Ca_JSR" public_interface="in" units="millimolar"/>
      
	  <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_tr</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_NSR</ci>
                  <ci>Ca_JSR</ci>
               </apply>
               <ci>tau_tr</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_xfer</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Ca_ss</ci>
                  <ci>Ca_i</ci>
               </apply>
               <ci>tau_xfer</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_trpn</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>HTRPN_tot</ci>
                  <ci>J_HTRPNCa</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>LTRPN_tot</ci>
                  <ci>J_LTRPNCa</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_HTRPNCa</ci>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>HTRPNCa</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>HTRPNCa</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_htrpn_plus</ci>
                  <ci>Ca_i</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
                     <ci>HTRPNCa</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_htrpn_minus</ci>
                  <ci>HTRPNCa</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_LTRPNCa</ci>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>LTRPNCa</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>LTRPNCa</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_ltrpn_plus</ci>
                  <ci>Ca_i</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
                     <ci>LTRPNCa</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_ltrpn_minus</ci>
                  <ci>LTRPNCa</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   
   <component name="intracellular_ion_concentrations">
      <variable initial_value="10" name="Na_i" public_interface="out" units="millimolar"/>
      <variable initial_value="8.464E-5" name="Ca_i" public_interface="out" units="millimolar"/>
      <variable initial_value="159.48" name="K_i" public_interface="out" units="millimolar"/>
      <variable initial_value="1.315E-4" name="Ca_ss" public_interface="out" units="millimolar"/>
      <variable initial_value="0.2616" name="Ca_JSR" public_interface="out" units="millimolar"/>
      <variable initial_value="0.2620" name="Ca_NSR" public_interface="out" units="millimolar"/>
      
	  <variable initial_value="0.0001534" name="A_cap" units="cm2"/>
      <variable initial_value="0.00002584" name="V_myo" units="microlitre"/>
      <variable initial_value="0.00000016" name="V_JSR" units="microlitre"/>
      <variable initial_value="0.0000021" name="V_NSR" units="microlitre"/>
      <variable initial_value="0.0000000012" name="V_ss" units="microlitre"/>
      <variable initial_value="0.00238" name="K_mCMDN" units="millimolar"/>
      <variable initial_value="0.00015" name="K_mEGTA" units="millimolar"/>
      <variable initial_value="0.8" name="K_mCSQN" units="millimolar"/>
      <variable initial_value="0.05" name="CMDN_tot" units="millimolar"/>
      <variable initial_value="0" name="EGTA_tot" units="millimolar"/>
      <variable initial_value="15" name="CSQN_tot" units="millimolar"/>
      <variable name="beta_i" units="dimensionless"/>
      <variable name="beta_SS" units="dimensionless"/>
      <variable name="beta_JSR" units="dimensionless"/>
	  
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_millimole"/>
      <variable name="C_sc" public_interface="in" units="microF_per_cm2"/>
      <variable name="i_Na" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ca" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Na_b" public_interface="in" units="microA_per_microF"/>
      <variable name="i_NaCa" public_interface="in" units="microA_per_microF"/>
      <variable name="i_NaK" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ca_K" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Kr" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ks" public_interface="in" units="microA_per_microF"/>
      <variable name="i_K1" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Kp" public_interface="in" units="microA_per_microF"/>
      <variable name="i_to1" public_interface="in" units="microA_per_microF"/>
      <variable name="i_p_Ca" public_interface="in" units="microA_per_microF"/>
      <variable name="i_Ca_b" public_interface="in" units="microA_per_microF"/>
      <variable name="J_up" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_rel" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_xfer" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_trpn" public_interface="in" units="millimolar_per_second"/>
      <variable name="J_tr" public_interface="in" units="millimolar_per_second"/>
	  <variable name="k_plus_CaATP" public_interface="in" units="per_millimolar_second"/>
      <variable name="k_minus_CaATP" public_interface="in" units="per_second"/>
      <variable name="k_plus_CaADP" public_interface="in" units="per_millimolar_second"/>
      <variable name="k_minus_CaADP" public_interface="in" units="per_second"/>
      <variable name="CaADP_i" public_interface="in" units="millimolar"/>
      <variable name="CaADP_ss" public_interface="in" units="millimolar"/>
      <variable name="CaATP_ss" public_interface="in" units="millimolar"/>
      <variable name="ATP_i" public_interface="in" units="millimolar"/>
      <variable name="ADP_i" public_interface="in" units="millimolar"/>
      <variable name="ADP_ss" public_interface="in" units="millimolar"/>
      <variable name="ATP_ss" public_interface="in" units="millimolar"/>
      <variable name="CaATP_i" public_interface="in" units="millimolar"/>
      
	  <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_i</ci>
            </apply>
            <apply>
               <times/>
               <ci>beta_i</ci>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_xfer</ci>
                     <apply>
                        <plus/>
                        <ci>J_up</ci>
                        <ci>J_trpn</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
					 <apply>
                        <times/>
                        <apply>
                           <minus/>
						   <apply>
                              <plus/>
                              <ci>i_p_Ca</ci>
                              <ci>i_Ca_b</ci>
                           </apply>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                              <ci>i_NaCa</ci>
                           </apply>
						</apply>
						<apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>A_cap</ci>
                              <ci>C_sc</ci>
                           </apply>
                           <apply>
                               <times/>
                               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                               <ci>V_myo</ci>
                               <ci>F</ci>
						   </apply>
						</apply>
                     </apply>
                  </apply>
				  <apply>
                     <minus/>
					 <apply>
                        <plus/>
						<apply>
                           <times/>
                           <ci> k_minus_CaATP </ci>
                           <ci> CaATP_i </ci>
                        </apply>
						<apply>
                           <times/>
                           <ci> k_minus_CaADP </ci>
                           <ci> CaADP_i </ci>
                        </apply>
					 </apply>
					 <apply>
                        <plus/>
						<apply>
                           <times/>
                           <ci> k_plus_CaATP </ci>
                           <ci> Ca_i </ci>
						   <ci> ATP_i </ci>
                        </apply>
						<apply>
                           <times/>
                           <ci> k_plus_CaADP </ci>
                           <ci> Ca_i </ci>
						   <ci> ADP_i </ci>
                        </apply>
					 </apply>
				  </apply>
               </apply>
            </apply>
         </apply>
	  
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Na_i</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>i_Na</ci>
                     <ci>i_Na_b</ci>
                     <apply>
                        <times/>
                        <ci>i_NaCa</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                     <apply>
                        <times/>
                        <ci>i_NaK</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
                     </apply>
                  </apply>
                  <ci>A_cap</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
               </apply>
               <apply>
                  <times/>
                  <ci>V_myo</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_i</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0</cn>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>i_Ca_K</ci>
                     <ci>i_Kr</ci>
                     <ci>i_Ks</ci>
                     <ci>i_K1</ci>
                     <ci>i_Kp</ci>
                     <ci>i_to1</ci>
                     <apply>
                        <times/>
                        <ci>i_NaK</ci>
                        <apply>
                           <minus/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>A_cap</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
               </apply>
               <apply>
                  <times/>
                  <ci>V_myo</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_i</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>CMDN_tot</ci>
                        <ci>K_mCMDN</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mCMDN</ci>
                           <ci>Ca_i</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>EGTA_tot</ci>
                        <ci>K_mEGTA</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mEGTA</ci>
                           <ci>Ca_i</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_SS</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>CMDN_tot</ci>
                        <ci>K_mCMDN</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mCMDN</ci>
                           <ci>Ca_ss</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>EGTA_tot</ci>
                        <ci>K_mEGTA</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mEGTA</ci>
                           <ci>Ca_ss</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_JSR</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>CSQN_tot</ci>
                        <ci>K_mCSQN</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>K_mCSQN</ci>
                           <ci>Ca_JSR</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      
	     <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_ss</ci>
            </apply>
            <apply>
               <times/>
               <ci>beta_SS</ci>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>J_rel</ci>
                           <ci>V_JSR</ci>
                        </apply>
                        <ci>V_ss</ci>
                     </apply>
					 <apply>
                        <times/>
                        <ci>k_minus_CaATP</ci>
						<ci>CaATP_ss</ci>
				     </apply>
					 <apply>
                        <times/>
                        <ci>k_minus_CaADP</ci>
						<ci>CaADP_ss</ci>
				     </apply>
                  </apply>
				  <apply>
                     <plus/> 
					 <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>J_xfer</ci>
                           <ci>V_myo</ci>
                        </apply>
                        <ci>V_ss</ci>
                     </apply>
				     <apply>
                        <times/>
                        <ci>i_Ca</ci>
						<apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>A_cap</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microF_per_cm2">1</cn>
                           </apply>
                           <apply>
                              <times/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                              <ci>V_ss</ci>
                              <ci>F</ci>
                           </apply>
                        </apply>
                     </apply>
				     <apply>
                        <times/>
                        <ci>k_plus_CaATP</ci>
						<ci>Ca_ss</ci>
					    <ci>ATP_ss</ci>
                     </apply>
				     <apply>
                        <times/>
                        <ci>k_plus_CaADP</ci>
						<ci>Ca_ss</ci>
						<ci>ADP_ss</ci>
                     </apply>
				  </apply>
               </apply>
            </apply>
         </apply>
	  
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_JSR</ci>
            </apply>
            <apply>
               <times/>
               <ci>beta_JSR</ci>
               <apply>
                  <minus/>
                  <ci>J_tr</ci>
                  <ci>J_rel</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_NSR</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>J_up</ci>
                     <ci>V_myo</ci>
                  </apply>
                  <ci>V_NSR</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>J_tr</ci>
                     <ci>V_JSR</ci>
                  </apply>
                  <ci>V_NSR</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   
   <component name="Ca_and_Mg_buffering_by_ATP">
    <variable initial_value="0.25E-3" name="CaATP_ss" public_interface="out" units="millimolar"/>
    <variable name="ATP_ss" public_interface="out" units="millimolar"/>
    <variable cmeta:id="Ca_and_Mg_buffering_by_ATP_MgATP_i" initial_value="6.4395" name="MgATP_i" public_interface="out" units="millimolar"/>
	<variable initial_value="2.888" name="MgATP_i0" public_interface="out" units="millimolar"/>
    <variable initial_value="225000.0" name="k_plus_CaATP" public_interface="out" units="per_millimolar_second"/>
    <variable initial_value="45000.0" name="k_minus_CaATP" public_interface="out" units="per_second"/>
    <variable initial_value="125000.0" name="k_plus_CaADP" public_interface="out" units="per_millimolar_second"/>
    <variable initial_value="193500" name="k_minus_CaADP" public_interface="out" units="per_second"/>
    <variable cmeta:id="Ca_and_Mg_buffering_by_ATP_CaADP_i" initial_value="0.11E-6" name="CaADP_i" public_interface="out" units="millimolar"/>
    <variable initial_value="0.13E-6" name="CaADP_ss" public_interface="out" units="millimolar"/>
    <variable name="ATP_i" public_interface="out" units="millimolar"/>
    <variable name="ADP_i" public_interface="out" units="millimolar"/>
    <variable name="ADP_ss" public_interface="out" units="millimolar"/>
    <variable initial_value="0.237E-3" name="CaATP_i" public_interface="out" units="millimolar"/>
    
    <variable initial_value="1.0" name="Mg_ss" units="millimolar"/>
    <variable initial_value="1.0" name="Mg_i" units="millimolar"/>
    <variable initial_value="0.298E-2" name="MgADP_i" units="millimolar"/>
    <variable initial_value="0.298E-2" name="MgADP_ss" units="millimolar"/>
    <variable initial_value="6.4395" name="MgATP_ss" units="millimolar"/>
    <variable initial_value="7.0" name="ATP_tot" units="millimolar"/>
    <variable initial_value="125000.0" name="k_plus_MgATP" units="per_millimolar_second"/>
    <variable initial_value="10875.0" name="k_minus_MgATP" units="per_second"/>
    <variable name="Jxfer_CaATP" units="millimolar_per_second"/>
    <variable name="Jxfer_MgATP" units="millimolar_per_second"/>
    <variable cmeta:id="Ca_and_Mg_buffering_by_ATP_Jxfer_Mg" name="Jxfer_Mg" units="millimolar_per_second"/>
    <variable initial_value="0.0534" name="tau_xfer_CaATP" units="second"/>
    <variable initial_value="0.0534" name="tau_xfer_MgATP" units="second"/>
    <variable initial_value="0.0267" name="tau_xfer_Mg" units="second"/>
    <variable initial_value="0.005" name="ADP_tot" units="millimolar"/>
    <variable initial_value="125000.0" name="k_plus_MgADP" units="per_millimolar_second"/>
    <variable initial_value="84500.0" name="k_minus_MgADP" units="per_second"/>
    <variable cmeta:id="Ca_and_Mg_buffering_by_ATP_Jxfer_CaADP" name="Jxfer_CaADP" units="millimolar_per_second"/>
    <variable name="Jxfer_MgADP" units="millimolar_per_second"/>
    <variable initial_value="0.0534" name="tau_xfer_CaADP" units="second"/>
    <variable initial_value="0.0534" name="tau_xfer_MgADP" units="second"/>
    
    <variable name="time" public_interface="in" units="second"/>
    <variable name="Ca_ss" public_interface="in" units="millimolar"/>
    <variable name="Ca_i" public_interface="in" units="millimolar"/>
    <variable name="V_myo" public_interface="in" units="microlitre"/>
    <variable name="V_ss" public_interface="in" units="microlitre"/>
  
    <math xmlns="http://www.w3.org/1998/Math/MathML">    
      <apply id="ATP_ss_calculation">
        <eq/>
        <ci> ATP_ss </ci>
        <apply>
          <minus/>
          <ci> ATP_tot </ci>
          <apply>
            <plus/>
            <ci> CaATP_ss </ci>
            <ci> MgATP_ss </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="CaATP_ss_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> CaATP_ss </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k_plus_CaATP </ci>
            <ci> Ca_ss </ci>
            <ci> ATP_ss </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> Jxfer_CaATP </ci>
              <apply>
                <divide/>
                <ci> V_myo </ci>
                <ci> V_ss </ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci> k_minus_CaATP </ci>
              <ci> CaATP_ss </ci>
            </apply>
          </apply>
        </apply>
      </apply>
      
      <apply id="MgATP_ss_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> MgATP_ss </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k_plus_MgATP </ci>
            <ci> Mg_ss </ci>
            <ci> ATP_ss </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> Jxfer_MgATP </ci>
              <apply>
                <divide/>
                <ci> V_myo </ci>
                <ci> V_ss </ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci> k_minus_MgATP </ci>
              <ci> MgATP_ss </ci>
            </apply>
          </apply>
        </apply>
      </apply>
     
      <apply id="ATP_i_calculation">
        <eq/>
        <ci> ATP_i </ci>
        <apply>
          <minus/>
          <ci> ATP_tot </ci>
          <apply>
            <plus/>
            <ci> CaATP_i </ci>
            <ci> MgATP_i </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="CaATP_i_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> CaATP_i </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <ci> Jxfer_CaATP </ci>
            <apply>
              <times/>
              <ci> k_plus_CaATP </ci>
              <ci> Ca_i </ci>
              <ci> ATP_i </ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci> k_minus_CaATP </ci>
            <ci> CaATP_i </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="MgATP_i_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> MgATP_i </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <ci> Jxfer_MgATP </ci>
            <apply>
              <times/>
              <ci> k_plus_MgATP </ci>
              <ci> Mg_i </ci>
              <ci> ATP_i </ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci> k_minus_MgATP </ci>
            <ci> MgATP_i </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="Jxfer_CaATP_calculation">
        <eq/>
        <ci> Jxfer_CaATP </ci>
        <apply>
          <divide/>
          <apply>
            <minus/>
            <ci> CaATP_ss </ci>
            <ci> CaATP_i </ci>
          </apply>
          <ci> tau_xfer_CaATP </ci>
        </apply>
      </apply>
      
      <apply id="Jxfer_MgATP_calculation">
        <eq/>
        <ci> Jxfer_MgATP </ci>
        <apply>
          <divide/>
          <apply>
            <minus/>
            <ci> MgATP_ss </ci>
            <ci> MgATP_i </ci>
          </apply>
          <ci> tau_xfer_MgATP </ci>
        </apply>
      </apply>
      
      <apply id="ADP_ss_calculation">
        <eq/>
        <ci> ADP_ss </ci>
        <apply>
          <minus/>
          <ci> ADP_tot </ci>
          <apply>
            <plus/>
            <ci> CaADP_ss </ci>
            <ci> MgADP_ss </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="CaADP_ss_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> CaADP_ss </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k_plus_CaADP </ci>
            <ci> Ca_ss </ci>
            <ci> ADP_ss </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> Jxfer_CaADP </ci>
              <apply>
                <divide/>
                <ci> V_myo </ci>
                <ci> V_ss </ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci> k_minus_CaADP </ci>
              <ci> CaADP_ss </ci>
            </apply>
          </apply>
        </apply>
      </apply>
      
      <apply id="MgADP_ss_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> MgADP_ss </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k_plus_MgADP </ci>
            <ci> Mg_ss </ci>
            <ci> ADP_ss </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> Jxfer_MgADP </ci>
              <apply>
                <divide/>
                <ci> V_myo </ci>
                <ci> V_ss </ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci> k_minus_MgADP </ci>
              <ci> MgADP_ss </ci>
            </apply>
          </apply>
        </apply>
      </apply>
     
      <apply id="ADP_i_calculation">
        <eq/>
        <ci> ADP_i </ci>
        <apply>
          <minus/>
          <ci> ADP_tot </ci>
          <apply>
            <plus/>
            <ci> CaADP_i </ci>
            <ci> MgADP_i </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="CaADP_i_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> CaADP_i </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <ci> Jxfer_CaADP </ci>
            <apply>
              <times/>
              <ci> k_plus_CaADP </ci>
              <ci> Ca_i </ci>
              <ci> ADP_i </ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci> k_minus_CaADP </ci>
            <ci> CaADP_i </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="MgADP_i_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> MgADP_i </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <ci> Jxfer_MgADP </ci>
            <apply>
              <times/>
              <ci> k_plus_MgADP </ci>
              <ci> Mg_i </ci>
              <ci> ADP_i </ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci> k_minus_MgADP </ci>
            <ci> MgADP_i </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="Jxfer_CaADP_calculation">
        <eq/>
        <ci> Jxfer_CaADP </ci>
        <apply>
          <divide/>
          <apply>
            <minus/>
            <ci> CaADP_ss </ci>
            <ci> CaADP_i </ci>
          </apply>
          <ci> tau_xfer_CaADP </ci>
        </apply>
      </apply>
      
      <apply id="Jxfer_MgADP_calculation">
        <eq/>
        <ci> Jxfer_MgADP </ci>
        <apply>
          <divide/>
          <apply>
            <minus/>
            <ci> MgADP_ss </ci>
            <ci> MgADP_i </ci>
          </apply>
          <ci> tau_xfer_MgADP </ci>
        </apply>
      </apply>
      
      <apply id="Mg_ss_calculation">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> Mg_ss </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k_minus_MgATP </ci>
              <ci> MgATP_ss </ci>
            </apply>
            <apply>
              <times/>
              <ci> k_minus_MgADP </ci>
              <ci> MgADP_ss </ci>
            </apply>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k_plus_MgATP </ci>
              <ci> Mg_ss </ci>
              <ci> ATP_ss </ci>
            </apply>
            <apply>
              <times/>
              <ci> k_plus_MgADP </ci>
              <ci> Mg_ss </ci>
              <ci> ADP_ss </ci>
            </apply>
            <apply>
              <times/>
              <ci> Jxfer_Mg </ci>
              <apply>
                <divide/>
                <ci> V_myo </ci>
                <ci> V_ss </ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      
      <apply id="Mg_i_calculation">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> Mg_i </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <ci> Jxfer_Mg </ci>
            <apply>
              <times/>
              <ci> k_minus_MgATP </ci>
              <ci> MgATP_i </ci>
            </apply>
            <apply>
              <times/>
              <ci> k_minus_MgADP </ci>
              <ci> MgADP_i </ci>
            </apply>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k_plus_MgATP </ci>
              <ci> Mg_i </ci>
              <ci> ATP_i </ci>
            </apply>
            <apply>
              <times/>
              <ci> k_plus_MgADP </ci>
              <ci> Mg_i </ci>
              <ci> ADP_i </ci>
            </apply>
          </apply>
        </apply>
      </apply>
      
      <apply id="Jxfer_Mg_calculation">
        <eq/>
        <ci> Jxfer_Mg </ci>
        <apply>
          <divide/>
          <apply>
            <minus/>
            <ci> Mg_ss </ci>
            <ci> Mg_i </ci>
          </apply>
          <ci> tau_xfer_Mg </ci>
        </apply>
      </apply>
    </math>
  </component>
   
   <component name="extracellular_ion_concentrations">
      <variable initial_value="138" name="Na_o" public_interface="out" units="millimolar"/>
      <variable initial_value="2" name="Ca_o" public_interface="out" units="millimolar"/>
      <variable initial_value="4" name="K_o" public_interface="out" units="millimolar"/>
   </component>
   
   <component name="model_parameters">
    <variable initial_value="0.00002584" name="V_myo" public_interface="out" units="microlitre"/>
    <variable initial_value="0.0000000012" name="V_ss" public_interface="out" units="microlitre"/>
  </component>
   
   <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="fast_sodium_current_j_gate"/>
      </component_ref>
      <component_ref component="rapid_activating_delayed_rectifiyer_K_current">
         <component_ref component="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate"/>
      </component_ref>
      <component_ref component="slow_activating_delayed_rectifiyer_K_current">
         <component_ref component="slow_activating_delayed_rectifiyer_K_current_X_ks_gate"/>
      </component_ref>
      <component_ref component="transient_outward_potassium_current">
         <component_ref component="transient_outward_potassium_current_X_to1_gate"/>
         <component_ref component="transient_outward_potassium_current_Y_to1_gate"/>
      </component_ref>
      <component_ref component="time_independent_potassium_current">
         <component_ref component="time_independent_potassium_current_K1_gate"/>
      </component_ref>
      <component_ref component="plateau_potassium_current">
         <component_ref component="plateau_potassium_current_Kp_gate"/>
      </component_ref>
      <component_ref component="L_type_Ca_current">
         <component_ref component="L_type_Ca_current_y_gate"/>
      </component_ref>
   </group>
   
   
   <connection>
      <map_components component_1="membrane" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="rapid_activating_delayed_rectifiyer_K_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="slow_activating_delayed_rectifiyer_K_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sarcolemmal_calcium_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="RyR_channel" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="SERCA2a_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_Ca_fluxes" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_ion_concentrations" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
    <map_components component_1="Ca_and_Mg_buffering_by_ATP" component_2="environment"/>
    <map_variables variable_1="time" variable_2="time"/>
  </connection>
   <connection>
      <map_components component_1="membrane" component_2="fast_sodium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="slow_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="transient_outward_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_to1" variable_2="i_to1"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="plateau_potassium_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Kp" variable_2="i_Kp"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="Na_Ca_exchanger"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sodium_potassium_pump"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_NaK" variable_2="i_NaK"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sarcolemmal_calcium_pump"/>
      <map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="calcium_background_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="sodium_background_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="L_type_Ca_current"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Ca" variable_2="i_Ca"/>
      <map_variables variable_1="i_Ca_K" variable_2="i_Ca_K"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="C_sc" variable_2="C_sc"/>
   </connection>
   <connection>
      <map_components component_1="membrane" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="C_sc" variable_2="C_sc"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="sodium_background_current"/>
      <map_variables variable_1="E_Na" variable_2="E_Na"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="extracellular_ion_concentrations"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_ion_concentrations" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="i_Kr" variable_2="i_Kr"/>
      <map_variables variable_1="K_i" variable_2="K_i"/>
   </connection>
   <connection>
      <map_components component_1="extracellular_ion_concentrations" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="rapid_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_ion_concentrations" component_2="slow_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="i_Ks" variable_2="i_Ks"/>
      <map_variables variable_1="K_i" variable_2="K_i"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
   </connection>
   <connection>
      <map_components component_1="extracellular_ion_concentrations" component_2="slow_activating_delayed_rectifiyer_K_current"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_to1" variable_2="i_to1"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="extracellular_ion_concentrations"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Kp" variable_2="i_Kp"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="extracellular_ion_concentrations"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="i_NaK" variable_2="i_NaK"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="extracellular_ion_concentrations"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection>
      <map_components component_1="sarcolemmal_calcium_pump" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="extracellular_ion_concentrations"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="i_Ca_K" variable_2="i_Ca_K"/>
      <map_variables variable_1="i_Ca" variable_2="i_Ca"/>
      <map_variables variable_1="K_i" variable_2="K_i"/>
      <map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="extracellular_ion_concentrations"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
   </connection>
   <connection>
      <map_components component_1="RyR_channel" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="J_rel" variable_2="J_rel"/>
      <map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
      <map_variables variable_1="Ca_JSR" variable_2="Ca_JSR"/>
   </connection>
   <connection>
      <map_components component_1="SERCA2a_pump" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="J_up" variable_2="J_up"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="Ca_NSR" variable_2="Ca_NSR"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_Ca_fluxes" component_2="intracellular_ion_concentrations"/>
      <map_variables variable_1="J_tr" variable_2="J_tr"/>
      <map_variables variable_1="J_xfer" variable_2="J_xfer"/>
      <map_variables variable_1="J_trpn" variable_2="J_trpn"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="Ca_NSR" variable_2="Ca_NSR"/>
      <map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
      <map_variables variable_1="Ca_JSR" variable_2="Ca_JSR"/>
   </connection>
   
  <connection>
    <map_components component_1="Ca_and_Mg_buffering_by_ATP" component_2="sodium_potassium_pump"/>
    <map_variables variable_1="MgATP_i" variable_2="MgATP_i"/>
	<map_variables variable_1="MgATP_i0" variable_2="MgATP_i0"/>
  </connection>
  
  <connection>
    <map_components component_1="Ca_and_Mg_buffering_by_ATP" component_2="sarcolemmal_calcium_pump"/>
    <map_variables variable_1="MgATP_i" variable_2="MgATP_i"/>
	<map_variables variable_1="MgATP_i0" variable_2="MgATP_i0"/>
  </connection>
  
  <connection>
    <map_components component_1="Ca_and_Mg_buffering_by_ATP" component_2="SERCA2a_pump"/>
    <map_variables variable_1="MgATP_i" variable_2="MgATP_i"/>
	<map_variables variable_1="MgATP_i0" variable_2="MgATP_i0"/>
  </connection>
  
  <connection>
    <map_components component_1="model_parameters" component_2="Ca_and_Mg_buffering_by_ATP"/>
    <map_variables variable_1="V_myo" variable_2="V_myo"/>
    <map_variables variable_1="V_ss" variable_2="V_ss"/>
  </connection>
   
  <connection>
    <map_components component_1="Ca_and_Mg_buffering_by_ATP" component_2="intracellular_ion_concentrations"/>
    <map_variables variable_1="CaATP_ss" variable_2="CaATP_ss"/>
    <map_variables variable_1="CaATP_i" variable_2="CaATP_i"/>
    <map_variables variable_1="CaADP_ss" variable_2="CaADP_ss"/>
    <map_variables variable_1="CaADP_i" variable_2="CaADP_i"/>
    <map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
    <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
    <map_variables variable_1="ATP_ss" variable_2="ATP_ss"/>
    <map_variables variable_1="ATP_i" variable_2="ATP_i"/>
    <map_variables variable_1="ADP_ss" variable_2="ADP_ss"/>
    <map_variables variable_1="ADP_i" variable_2="ADP_i"/>
    <map_variables variable_1="k_plus_CaATP" variable_2="k_plus_CaATP"/>
    <map_variables variable_1="k_minus_CaATP" variable_2="k_minus_CaATP"/>
    <map_variables variable_1="k_plus_CaADP" variable_2="k_plus_CaADP"/>
    <map_variables variable_1="k_minus_CaADP" variable_2="k_minus_CaADP"/>
  </connection>
  
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_m_gate"/>
      <map_variables variable_1="m" variable_2="m"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_h_gate"/>
      <map_variables variable_1="h" variable_2="h"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_j_gate"/>
      <map_variables variable_1="j" variable_2="j"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="rapid_activating_delayed_rectifiyer_K_current" component_2="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate"/>
      <map_variables variable_1="X_kr" variable_2="X_kr"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="slow_activating_delayed_rectifiyer_K_current" component_2="slow_activating_delayed_rectifiyer_K_current_X_ks_gate"/>
      <map_variables variable_1="X_ks" variable_2="X_ks"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="transient_outward_potassium_current_X_to1_gate"/>
      <map_variables variable_1="X_to1" variable_2="X_to1"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="transient_outward_potassium_current" component_2="transient_outward_potassium_current_Y_to1_gate"/>
      <map_variables variable_1="Y_to1" variable_2="Y_to1"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="time_independent_potassium_current_K1_gate"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
      <map_variables variable_1="K1_infinity_V" variable_2="K1_infinity_V"/>
   </connection>
   <connection>
      <map_components component_1="plateau_potassium_current" component_2="plateau_potassium_current_Kp_gate"/>
      <map_variables variable_1="Kp_V" variable_2="Kp_V"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="L_type_Ca_current" component_2="L_type_Ca_current_y_gate"/>
      <map_variables variable_1="y" variable_2="y"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>




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            Model study of ATP and ADP buffering, transport of Ca2+ and Mg2+, and regulation of ion pumps in ventricular myocyte
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