Location: Corrias, Buist, 2008 @ 410f7e91dd26 / corrias_buist_2008.cellml~

Author:
Hanne <Hanne@hanne-nielsens-macbook.local>
Date:
2009-12-07 12:15:47+13:00
Desc:
Added images in ai and svg format
Permanent Source URI:
https://staging.physiomeproject.org/workspace/corrias_buist_2008/rawfile/410f7e91dd264ea865f9838a106a06b18f5e4607/corrias_buist_2008.cellml~

<?xml version='1.0' encoding='utf-8'?>
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<documentation xmlns="http://cellml.org/tmp-documentation">
		<article>
			<articleinfo>
				<title>Quantitative cellular description of gastric slow wave activity</title>
				<author>
					<firstname>Alberto</firstname>
					<surname>Corrias</surname>
					<affiliation>
						<shortaffil>National University of Singapore</shortaffil>
					</affiliation>
				</author>
			</articleinfo>
			<section id="sec_status">
				<title>Model Status</title>
				<para>
            This model is known to run in JSIM to recreate the published results. It was created by Alberto Corrias and taken from the NUS Computational Bioengineering Laboratory website. 
          </para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
Abstract: Interstitial cells of Cajal (ICC) are responsible for the spontaneous and omnipresent electrical activity in the stomach. A quantitative description of the intracellular processes whose coordinated activity is believed to generate electrical slow waves has been developed and is presented here. In line with recent experimental evidence, the model describes how the interplay between the mitochondria and the endoplasmic reticulum in cycling intracellular Ca2+ provides the primary regulatory signal for the initiation of the slow wave. The major ion channels that have been identified as influencing slow wave activity have been modeled according to data obtained from isolated ICC. The model has been validated by comparing the simulated profile of the slow waves with experimental recordings and shows good correspondence in terms of frequency, amplitude, and shape in both control and pharmacologically altered conditions.</para>
				<para>
The complete original paper reference is cited below:
</para>
				<para>
					Quantitative cellular description of gastric slow wave activity, Alberto Corrias, Martin L. Buist 2008, 
						<emphasis>Am J Physiol Gastrointest Liver Physiol</emphasis>
					, 294, G989-G995.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=18276830 &amp;dopt=Abstract">PubMed ID: 18276830 </ulink>
				</para>
				<para>
				The documented original is available at the National University of Singapore's <ulink url="http://www.bioeng.nus.edu.sg/compbiolab/projects/gi-project.html#icc-cell-ephys">Computational Bioengineering Laboratory website</ulink>. 
				</para>
			</sect1>

<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>Corrias 2008 diagram</title>
    </objectinfo>
    <imagedata fileref="corrias_2008.png"/>
  </imageobject>
</mediaobject>
<caption>Schematic view of the model. The intracellular space is divided in four compartments: cytoplasm, mitochondria, endoplasmic reticulum (ER), and submembrane space (SS). All membrane ion channels and transport mechanisms included in the model are depicted.</caption>
</informalfigure>

		</article>
	</documentation>
  
  
  
  
 
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                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_Ca</ci>

               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="J_PMCA">
      <variable units="millimolar_per_second" public_interface="out" name="J_PMCA"/>
      <variable units="millimolar_per_second" name="J_max_PMCA" initial_value="0.088464"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>

      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_PMCA</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>

                  <ci>J_max_PMCA</ci>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>

                     <divide/>
                     <cn cellml:units="millimolar">0.000298</cn>
                     <ci>Ca_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>

   </component>
   <component name="d_VDDR">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" name="d_inf_VDDR"/>
      <variable units="time_units" name="tau_d_VDDR"/>
      <variable units="dimensionless" public_interface="out" name="d_VDDR" initial_value="0"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="T_correction_Ca"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">

         <apply>
            <eq/>
            <ci>d_inf_VDDR</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>

                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>Vm</ci>

                           <cn cellml:units="voltage_units">26</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn cellml:units="voltage_units">6</cn>
                        </apply>
                     </apply>
                  </apply>

               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_d_VDDR</ci>
            <apply>
               <times/>

               <ci>T_correction_Ca</ci>
               <cn cellml:units="time_units">0.006</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>

               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d_VDDR</ci>
            </apply>
            <apply>
               <divide/>
               <apply>

                  <minus/>
                  <ci>d_inf_VDDR</ci>
                  <ci>d_VDDR</ci>
               </apply>
               <ci>tau_d_VDDR</ci>
            </apply>
         </apply>

      </math>
   </component>
   <component name="f_VDDR">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" name="f_inf_VDDR"/>
      <variable units="time_units" name="tau_f_VDDR"/>
      <variable units="dimensionless" public_interface="out" name="f_VDDR" initial_value="1"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="T_correction_Ca"/>

      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>f_inf_VDDR</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>

                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>

                           <ci>Vm</ci>
                           <cn cellml:units="voltage_units">66</cn>
                        </apply>
                        <cn cellml:units="voltage_units">6</cn>
                     </apply>
                  </apply>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_f_VDDR</ci>
            <apply>
               <times/>
               <ci>T_correction_Ca</ci>

               <cn cellml:units="time_units">0.04</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>

                  <ci>time</ci>
               </bvar>
               <ci>f_VDDR</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>

                  <ci>f_inf_VDDR</ci>
                  <ci>f_VDDR</ci>
               </apply>
               <ci>tau_f_VDDR</ci>
            </apply>
         </apply>
      </math>

   </component>
   <component name="I_VDDR">
      <variable units="current_units" public_interface="out" name="I_VDDR"/>
      <variable units="voltage_units" name="E_Ca"/>
      <variable units="conductance_units" name="G_max_VDDR" initial_value="3"/>
      <variable units="voltage_units" public_interface="in" private_interface="out" name="Vm"/>
      <variable units="dimensionless" private_interface="in" name="f_VDDR"/>
      <variable units="dimensionless" private_interface="in" name="d_VDDR"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>

      <variable units="millimolar" public_interface="in" name="Ca_o"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <variable units="dimensionless" public_interface="in" private_interface="out" name="T_correction_Ca"/>
      <variable units="time_units" public_interface="in" private_interface="out" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Ca</ci>

            <apply>
               <times/>
               <cn cellml:units="dimensionless">0.5</cn>
               <ci>RToF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>

                     <ci>Ca_o</ci>
                     <ci>Ca_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>

            <ci>I_VDDR</ci>
            <apply>
               <times/>
               <ci>G_max_VDDR</ci>
               <ci>f_VDDR</ci>
               <ci>d_VDDR</ci>
               <apply>

                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>

   <component name="d_CaCl">
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <variable units="dimensionless" name="d_inf_CaCl"/>
      <variable units="time_units" name="tau_d_CaCl" initial_value="0.03"/>
      <variable units="dimensionless" public_interface="out" name="d_CaCl" initial_value="0"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>

            <ci>d_inf_CaCl</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>

                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <cn cellml:units="millimolar">0.00014</cn>
                        <ci>Ca_i</ci>
                     </apply>
                     <cn cellml:units="dimensionless">3</cn>

                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>

                  <ci>time</ci>
               </bvar>
               <ci>d_CaCl</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>

                  <ci>d_inf_CaCl</ci>
                  <ci>d_CaCl</ci>
               </apply>
               <ci>tau_d_CaCl</ci>
            </apply>
         </apply>
      </math>

   </component>
   <component name="I_CaCl">
      <variable units="current_units" public_interface="out" name="I_CaCl"/>
      <variable units="millimolar" public_interface="in" private_interface="out" name="Ca_i"/>
      <variable units="voltage_units" name="E_Cl"/>
      <variable units="conductance_units" name="G_max_CaCl" initial_value="10.1"/>
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" private_interface="in" name="d_CaCl"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>

      <variable units="millimolar" public_interface="in" name="Cl_o"/>
      <variable units="millimolar" public_interface="in" name="Cl_i"/>
      <variable units="time_units" public_interface="in" private_interface="out" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Cl</ci>
            <apply>

               <times/>
               <ci>RToF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Cl_i</ci>
                     <ci>Cl_o</ci>

                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_CaCl</ci>
            <apply>

               <times/>
               <ci>G_max_CaCl</ci>
               <ci>d_CaCl</ci>
               <apply>
                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_Cl</ci>

               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="d_BK">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <variable units="dimensionless" public_interface="out" name="d_BK"/>

      <variable units="time_units" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>d_BK</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>

               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <minus/>
                        <apply>

                           <divide/>
                           <ci>Vm</ci>
                           <apply>
                              <minus/>
                              <cn cellml:units="voltage_units">17</cn>
                           </apply>
                        </apply>
                        <apply>

                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <apply>
                              <ln/>
                              <apply>
                                 <divide/>
                                 <ci>Ca_i</ci>
                                 <cn cellml:units="millimolar">0.001</cn>

                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>

   </component>
   <component name="I_BK">
      <variable units="current_units" public_interface="out" name="I_BK"/>
      <variable units="millimolar" public_interface="in" private_interface="out" name="Ca_i"/>
      <variable units="voltage_units" name="E_K"/>
      <variable units="conductance_units" name="G_max_BK" initial_value="23"/>
      <variable units="voltage_units" public_interface="in" private_interface="out" name="Vm"/>
      <variable units="dimensionless" private_interface="in" name="d_BK"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>

      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="K_i"/>
      <variable units="conductance_units" public_interface="in" name="T_correction_BK"/>
      <variable units="time_units" public_interface="in" private_interface="out" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_K</ci>

            <apply>
               <times/>
               <ci>RToF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>

                     <ci>K_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_BK</ci>

            <apply>
               <times/>
               <apply>
                  <plus/>
                  <ci>G_max_BK</ci>
                  <ci>T_correction_BK</ci>
               </apply>
               <ci>d_BK</ci>

               <apply>
                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>

   </component>
   <component name="I_bk">
      <variable units="current_units" public_interface="out" name="I_bk"/>
      <variable units="voltage_units" name="E_K"/>
      <variable units="conductance_units" name="G_max_bk" initial_value="0.15"/>
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="K_i"/>

      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_K</ci>
            <apply>
               <times/>
               <ci>RToF</ci>
               <apply>

                  <ln/>
                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <ci>K_i</ci>
                  </apply>
               </apply>
            </apply>

         </apply>
         <apply>
            <eq/>
            <ci>I_bk</ci>
            <apply>
               <times/>
               <ci>G_max_bk</ci>
               <apply>

                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>

   <component name="d_ERG">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" name="d_inf_ERG"/>
      <variable units="time_units" name="tau_d_ERG"/>
      <variable units="dimensionless" public_interface="out" name="d_ERG" initial_value="0"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="T_correction_K"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>

            <eq/>
            <ci>d_inf_ERG</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">0.2</cn>
               <apply>
                  <divide/>
                  <cn cellml:units="dimensionless">0.8</cn>

                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <divide/>
                           <apply>

                              <plus/>
                              <ci>Vm</ci>
                              <cn cellml:units="voltage_units">20</cn>
                           </apply>
                           <apply>
                              <minus/>
                              <cn cellml:units="voltage_units">1.8</cn>

                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>

            <ci>tau_d_ERG</ci>
            <apply>
               <times/>
               <ci>T_correction_K</ci>
               <cn cellml:units="time_units">0.003</cn>
            </apply>
         </apply>

         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d_ERG</ci>

            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>d_inf_ERG</ci>
                  <ci>d_ERG</ci>
               </apply>

               <ci>tau_d_ERG</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="I_ERG">
      <variable units="current_units" public_interface="out" name="I_ERG"/>
      <variable units="voltage_units" name="E_K"/>

      <variable units="conductance_units" name="G_max_ERG" initial_value="2.5"/>
      <variable units="voltage_units" public_interface="in" private_interface="out" name="Vm"/>
      <variable units="dimensionless" private_interface="in" name="d_ERG"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="K_i"/>
      <variable units="dimensionless" public_interface="in" private_interface="out" name="T_correction_K"/>
      <variable units="time_units" public_interface="in" private_interface="out" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">

         <apply>
            <eq/>
            <ci>E_K</ci>
            <apply>
               <times/>
               <ci>RToF</ci>
               <apply>
                  <ln/>

                  <apply>
                     <divide/>
                     <ci>K_o</ci>
                     <ci>K_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>

         <apply>
            <eq/>
            <ci>I_ERG</ci>
            <apply>
               <times/>
               <ci>G_max_ERG</ci>
               <ci>d_ERG</ci>

               <apply>
                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>

   </component>
   <component name="d_kv11">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" name="d_inf_kv11"/>
      <variable units="time_units" name="tau_d_kv11"/>
      <variable units="dimensionless" public_interface="out" name="d_kv11" initial_value="0"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="T_correction_K"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">

         <apply>
            <eq/>
            <ci>d_inf_kv11</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>

                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>Vm</ci>

                           <cn cellml:units="voltage_units">25</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn cellml:units="voltage_units">7.7</cn>
                        </apply>
                     </apply>
                  </apply>

               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_d_kv11</ci>
            <apply>
               <times/>

               <ci>T_correction_K</ci>
               <cn cellml:units="time_units">0.005</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>

               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d_kv11</ci>
            </apply>
            <apply>
               <divide/>
               <apply>

                  <minus/>
                  <ci>d_inf_kv11</ci>
                  <ci>d_kv11</ci>
               </apply>
               <ci>tau_d_kv11</ci>
            </apply>
         </apply>

      </math>
   </component>
   <component name="f_kv11">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" name="f_inf_kv11"/>
      <variable units="time_units" name="tau_f_kv11"/>
      <variable units="dimensionless" public_interface="out" name="f_kv11" initial_value="1"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="T_correction_K"/>

      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>f_inf_kv11</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">0.5</cn>
               <apply>

                  <divide/>
                  <cn cellml:units="dimensionless">0.5</cn>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <exp/>
                        <apply>

                           <divide/>
                           <apply>
                              <plus/>
                              <ci>Vm</ci>
                              <cn cellml:units="voltage_units">44.8</cn>
                           </apply>
                           <cn cellml:units="voltage_units">4.4</cn>

                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_f_kv11</ci>

            <apply>
               <times/>
               <ci>T_correction_K</ci>
               <cn cellml:units="time_units">0.005</cn>
            </apply>
         </apply>
         <apply>
            <eq/>

            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>f_kv11</ci>
            </apply>
            <apply>

               <divide/>
               <apply>
                  <minus/>
                  <ci>f_inf_kv11</ci>
                  <ci>f_kv11</ci>
               </apply>
               <ci>tau_f_kv11</ci>

            </apply>
         </apply>
      </math>
   </component>
   <component name="I_kv11">
      <variable units="current_units" public_interface="out" name="I_kv11"/>
      <variable units="voltage_units" name="E_K"/>
      <variable units="conductance_units" name="G_max_kv11" initial_value="6.3"/>
      <variable units="voltage_units" public_interface="in" private_interface="out" name="Vm"/>

      <variable units="dimensionless" private_interface="in" name="f_kv11"/>
      <variable units="dimensionless" private_interface="in" name="d_kv11"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="K_i"/>
      <variable units="dimensionless" public_interface="in" private_interface="out" name="T_correction_K"/>
      <variable units="time_units" public_interface="in" private_interface="out" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>

            <eq/>
            <ci>E_K</ci>
            <apply>
               <times/>
               <ci>RToF</ci>
               <apply>
                  <ln/>
                  <apply>

                     <divide/>
                     <ci>K_o</ci>
                     <ci>K_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>

            <eq/>
            <ci>I_kv11</ci>
            <apply>
               <times/>
               <ci>G_max_kv11</ci>
               <ci>f_kv11</ci>
               <ci>d_kv11</ci>

               <apply>
                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
      </math>

   </component>
   <component name="d_Na">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" name="d_inf_Na"/>
      <variable units="time_units" name="tau_d_Na"/>
      <variable units="dimensionless" public_interface="out" name="d_Na" initial_value="0"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="T_correction_Na"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">

         <apply>
            <eq/>
            <ci>d_inf_Na</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>

                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>Vm</ci>

                           <cn cellml:units="voltage_units">47</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <cn cellml:units="voltage_units">4.8</cn>
                        </apply>
                     </apply>
                  </apply>

               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_d_Na</ci>
            <apply>
               <times/>

               <ci>T_correction_Na</ci>
               <cn cellml:units="time_units">0.003</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>

               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d_Na</ci>
            </apply>
            <apply>
               <divide/>
               <apply>

                  <minus/>
                  <ci>d_inf_Na</ci>
                  <ci>d_Na</ci>
               </apply>
               <ci>tau_d_Na</ci>
            </apply>
         </apply>

      </math>
   </component>
   <component name="f_Na">
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" name="f_inf_Na"/>
      <variable units="time_units" name="tau_f_Na"/>
      <variable units="dimensionless" public_interface="out" name="f_Na" initial_value="1"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="T_correction_Na"/>

      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>f_inf_Na</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>

                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>

                           <ci>Vm</ci>
                           <cn cellml:units="voltage_units">78</cn>
                        </apply>
                        <cn cellml:units="voltage_units">7</cn>
                     </apply>
                  </apply>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>tau_f_Na</ci>
            <apply>
               <times/>
               <ci>T_correction_Na</ci>

               <cn cellml:units="time_units">0.0016</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>

                  <ci>time</ci>
               </bvar>
               <ci>f_Na</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>

                  <ci>f_inf_Na</ci>
                  <ci>f_Na</ci>
               </apply>
               <ci>tau_f_Na</ci>
            </apply>
         </apply>
      </math>

   </component>
   <component name="I_Na">
      <variable units="current_units" public_interface="out" name="I_Na"/>
      <variable units="voltage_units" name="E_Na"/>
      <variable units="conductance_units" name="G_max_Na" initial_value="20"/>
      <variable units="voltage_units" public_interface="in" private_interface="out" name="Vm"/>
      <variable units="dimensionless" private_interface="in" name="f_Na"/>
      <variable units="dimensionless" private_interface="in" name="d_Na"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>

      <variable units="millimolar" public_interface="in" name="Na_o"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="dimensionless" public_interface="in" private_interface="out" name="T_correction_Na"/>
      <variable units="time_units" public_interface="in" private_interface="out" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Na</ci>

            <apply>
               <times/>
               <ci>RToF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Na_o</ci>

                     <ci>Na_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_Na</ci>

            <apply>
               <times/>
               <ci>G_max_Na</ci>
               <ci>f_Na</ci>
               <ci>d_Na</ci>
               <apply>
                  <minus/>

                  <ci>Vm</ci>
                  <ci>E_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="d_NSCC">

      <variable units="millimolar" public_interface="in" name="Ca_PU"/>
      <variable units="dimensionless" name="d_inf_NSCC"/>
      <variable units="time_units" name="tau_d_NSCC" initial_value="0.35"/>
      <variable units="dimensionless" public_interface="out" name="d_NSCC" initial_value="0"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>d_inf_NSCC</ci>

            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>

                     <apply>
                        <divide/>
                        <cn cellml:units="millimolar">0.0000745</cn>
                        <ci>Ca_PU</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">85</cn>

                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>

               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>d_NSCC</ci>
            </apply>
            <apply>
               <divide/>
               <apply>

                  <minus/>
                  <ci>d_inf_NSCC</ci>
                  <ci>d_NSCC</ci>
               </apply>
               <ci>tau_d_NSCC</ci>
            </apply>
         </apply>

      </math>
   </component>
   <component name="I_NSCC">
      <variable units="current_units" public_interface="out" name="I_NSCC"/>
      <variable units="voltage_units" name="E_NSCC"/>
      <variable units="conductance_units" name="G_max_NSCC" initial_value="12.15"/>
      <variable units="voltage_units" public_interface="in" name="Vm"/>
      <variable units="dimensionless" private_interface="in" name="d_NSCC"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>

      <variable units="millimolar" public_interface="in" name="Na_o"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="millimolar" public_interface="in" name="K_o"/>
      <variable units="millimolar" public_interface="in" name="K_i"/>
      <variable units="dimensionless" name="NaPerm_o_Kperm" initial_value="1.056075"/>
      <variable units="millimolar" public_interface="in" private_interface="out" name="Ca_PU"/>
      <variable units="time_units" public_interface="in" private_interface="out" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>

            <eq/>
            <ci>E_NSCC</ci>
            <apply>
               <times/>
               <ci>RToF</ci>
               <apply>
                  <ln/>
                  <apply>

                     <divide/>
                     <apply>
                        <plus/>
                        <ci>K_o</ci>
                        <apply>
                           <times/>
                           <ci>Na_o</ci>
                           <ci>NaPerm_o_Kperm</ci>

                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>K_i</ci>
                        <apply>
                           <times/>
                           <ci>Na_i</ci>

                           <ci>NaPerm_o_Kperm</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>

            <eq/>
            <ci>I_NSCC</ci>
            <apply>
               <times/>
               <ci>G_max_NSCC</ci>
               <ci>d_NSCC</ci>
               <apply>

                  <minus/>
                  <ci>Vm</ci>
                  <ci>E_NSCC</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>

   <component name="PU_unit">
      <variable units="volume_units" public_interface="in" name="Vol"/>
      <variable units="dimensionless" name="P_PU" initial_value="0.001"/>
      <variable units="dimensionless" name="P_mito" initial_value="0.12871"/>
      <variable units="dimensionless" name="P_ER" initial_value="0.1"/>
      <variable units="volume_units" name="V_MITO"/>
      <variable units="volume_units" name="V_ER"/>
      <variable units="volume_units" name="V_PU"/>
      <variable units="dimensionless" name="fe" initial_value="0.01"/>

      <variable units="dimensionless" name="fm" initial_value="0.0003"/>
      <variable units="time_units" public_interface="in" name="time"/>
      <variable units="dimensionless" public_interface="in" name="fc"/>
      <variable units="millimolar" public_interface="in" name="Na_i"/>
      <variable units="millimolar" public_interface="in" name="Ca_i"/>
      <variable units="volume_units" public_interface="in" name="V_cyto"/>
      <variable units="Inverse_Voltage_units" public_interface="in" name="FoRT"/>
      <variable units="voltage_units" public_interface="in" name="RToF"/>
      <variable units="millimolar" public_interface="out" private_interface="out" name="Ca_PU" initial_value="0.0000902"/>

      <variable units="F_units" public_interface="in" name="F"/>
      <variable units="millimolar" name="Ca_m" initial_value="0.000136"/>
      <variable units="millimolar" name="Ca_ER" initial_value="0.007299"/>
      <variable units="millimolar" name="ADP_m" initial_value="2.60093454"/>
      <variable units="millimolar" name="ADP_i" initial_value="0.0077282"/>
      <variable units="millimolar" name="NADH_m" initial_value="0.101476"/>
      <variable units="dimensionless" name="h" initial_value="0.9397"/>
      <variable units="millimolar" name="IP3" initial_value="0.0006"/>
      <variable units="voltage_units" name="deltaPsi" initial_value="164.000044"/>

      <variable units="dimensionless" name="deltapH" initial_value="-0.4"/>
      <variable units="millifarads" name="Cmito" initial_value="0.006995"/>
      <variable units="dimensionless" name="K_res" initial_value="1.35e18"/>
      <variable units="dimensionless" name="r1" initial_value="2.077e-18"/>
      <variable units="dimensionless" name="r2" initial_value="1.728e-9"/>
      <variable units="dimensionless" name="r3" initial_value="1.059e-26"/>
      <variable units="rate_constants_units" name="ra" initial_value="6.394e-10"/>
      <variable units="rate_constants_units" name="rb" initial_value="1.762e-13"/>
      <variable units="rate_constants_units" name="rc1" initial_value="2.656e-19"/>

      <variable units="rate_constants_units" name="rc2" initial_value="8.632e-27"/>
      <variable units="voltage_units" name="deltaPsi_B" initial_value="50"/>
      <variable units="dimensionless" name="g" initial_value="0.85"/>
      <variable units="millimolar" name="K_F1" initial_value="1.71e9"/>
      <variable units="millimolar" name="Pi_m" initial_value="20"/>
      <variable units="dimensionless" name="p1" initial_value="1.346e-8"/>
      <variable units="dimensionless" name="p2" initial_value="7.739e-7"/>
      <variable units="dimensionless" name="p3" initial_value="6.65e-15"/>
      <variable units="rate_constants_units" name="pa" initial_value="1.656e-5"/>

      <variable units="rate_constants_units" name="pb" initial_value="3.373e-7"/>
      <variable units="rate_constants_units" name="pc1" initial_value="9.651e-14"/>
      <variable units="rate_constants_units" name="pc2" initial_value="4.845e-19"/>
      <variable units="dimensionless" name="frac" initial_value="0.5"/>
      <variable units="millimolar" name="K_act" initial_value="0.00038"/>
      <variable units="dimensionless" name="na" initial_value="2.8"/>
      <variable units="voltage_units" name="deltaPsi_star" initial_value="91"/>
      <variable units="millimolar" name="K_Na" initial_value="9.4"/>
      <variable units="millimolar" name="K_Ca" initial_value="0.003"/>

      <variable units="millimolar" name="K_trans" initial_value="0.006"/>
      <variable units="dimensionless" name="L" initial_value="50"/>
      <variable units="dimensionless" name="b" initial_value="0.5"/>
      <variable units="rate_constants_units" name="beta_max" initial_value="2.055"/>
      <variable units="per_millimolar" name="beta1" initial_value="1.66"/>
      <variable units="per_millimolar" name="beta2" initial_value="0.0249"/>
      <variable units="per_millimolar" name="beta3" initial_value="4"/>
      <variable units="per_millimolar" name="beta4" initial_value="2.83"/>
      <variable units="per_millimolar" name="beta5" initial_value="1.3"/>

      <variable units="per_millimolar" name="beta6" initial_value="2.66"/>
      <variable units="per_millimolar" name="beta7" initial_value="0.16"/>
      <variable units="millimolar" name="KCa_PDH" initial_value="0.00005"/>
      <variable units="dimensionless" name="u1" initial_value="15"/>
      <variable units="dimensionless" name="u2" initial_value="1.1"/>
      <variable units="dimensionless" name="n" initial_value="2"/>
      <variable units="millimolar" name="K_Glc" initial_value="8.7"/>
      <variable units="dimensionless" name="nhyd" initial_value="2.7"/>
      <variable units="rate_constants_units" name="K_hyd" initial_value="0.05125"/>

      <variable units="rate_constants_units" name="J_ERleak" initial_value="1.666667"/>
      <variable units="rate_constants_units" name="Jmax_IP3" initial_value="50000"/>
      <variable units="millimolar" name="d_IP3" initial_value="0.00025"/>
      <variable units="millimolar" name="d_ACT" initial_value="0.001"/>
      <variable units="millimolar" name="d_INH" initial_value="0.0014"/>
      <variable units="time_units" name="tauh" initial_value="4"/>
      <variable units="millimolar_per_second" name="Jmax_serca" initial_value="1.8333"/>
      <variable units="millimolar" name="k_serca" initial_value="0.00042"/>
      <variable units="millimolar" name="conc" initial_value="0.001"/>

      <variable units="rate_constants_units" name="Jmax_uni" initial_value="5000"/>
      <variable units="millimolar_per_second" name="Jmax_NaCa" initial_value="0.05"/>
      <variable units="rate_constants_units" name="J_max_leak" initial_value="0.01"/>
      <variable units="millimolar" name="rho_res" initial_value="0.4"/>
      <variable units="millimolar" name="rho_F1" initial_value="0.7"/>
      <variable units="millimolar_per_second_per_millivolt" name="g_H" initial_value="0.0033333"/>
      <variable units="millimolar_per_second" name="J_red_basal" initial_value="0.3333"/>
      <variable units="millimolar_per_second" name="Jmax_ANT" initial_value="15"/>
      <variable units="millimolar_per_second" name="J_hyd_max" initial_value="0.037625"/>

      <variable units="millimolar" name="Glc" initial_value="1"/>
      <variable units="millimolar" name="total_NAD_m" initial_value="8"/>
      <variable units="millimolar" name="total_ANP_m" initial_value="12"/>
      <variable units="millimolar" name="total_ANP_i" initial_value="2"/>
      <variable units="millimolar" name="NAD_m"/>
      <variable units="millimolar" name="ATP_m"/>
      <variable units="millimolar" name="ADP_mfree"/>
      <variable units="millimolar" name="ADP3_m"/>
      <variable units="millimolar" name="ATP4_m"/>

      <variable units="millimolar" name="ATP_i"/>
      <variable units="millimolar" name="ADP_ifree"/>
      <variable units="millimolar" name="ADP3_i"/>
      <variable units="millimolar" name="MgADP_i"/>
      <variable units="millimolar" name="ATP4_i"/>
      <variable units="millimolar_per_second" name="J_ERout"/>
      <variable units="millimolar_per_second" name="J_SERCA"/>
      <variable units="millimolar" name="MWC"/>
      <variable units="millimolar_per_second" name="J_uni"/>

      <variable units="millimolar_per_second" name="J_NaCa"/>
      <variable units="millimolar_per_second" public_interface="out" name="J_leak"/>
      <variable units="millimolar_per_second" name="J_red"/>
      <variable units="millimolar_per_second" name="J_pTCA"/>
      <variable units="voltage_units" name="A_F1"/>
      <variable units="millimolar_per_second" name="J_pF1"/>
      <variable units="millimolar_per_second" name="J_HF1"/>
      <variable units="voltage_units" name="A_res"/>
      <variable units="millimolar_per_second" name="J_o"/>

      <variable units="millimolar_per_second" name="J_glyTotal"/>
      <variable units="dimensionless" name="f_PDHa"/>
      <variable units="millimolar_per_second" name="J_Hres"/>
      <variable units="millimolar_per_second" name="J_ANT"/>
      <variable units="voltage_units" name="PMF"/>
      <variable units="millimolar_per_second" name="J_Hleak"/>
      <variable units="millimolar_per_second" name="J_pGly"/>
      <variable units="millimolar_per_second" name="J_hydSS"/>
      <variable units="millimolar_per_second" name="J_hyd"/>

      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>V_MITO</ci>
            <apply>
               <times/>
               <ci>Vol</ci>
               <ci>P_mito</ci>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_PU</ci>
            <apply>
               <times/>
               <ci>Vol</ci>

               <ci>P_PU</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_ER</ci>
            <apply>
               <times/>

               <ci>Vol</ci>
               <ci>P_ER</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_ERout</ci>

            <apply>
               <times/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>Jmax_IP3</ci>
                     <apply>

                        <power/>
                        <apply>
                           <divide/>
                           <ci>IP3</ci>
                           <apply>
                              <plus/>
                              <ci>IP3</ci>
                              <ci>d_IP3</ci>

                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">3</cn>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>

                           <ci>Ca_PU</ci>
                           <apply>
                              <plus/>
                              <ci>Ca_PU</ci>
                              <ci>d_ACT</ci>
                           </apply>
                        </apply>

                        <cn cellml:units="dimensionless">3</cn>
                     </apply>
                     <apply>
                        <power/>
                        <ci>h</ci>
                        <cn cellml:units="dimensionless">3</cn>
                     </apply>

                  </apply>
                  <ci>J_ERleak</ci>
               </apply>
               <apply>
                  <minus/>
                  <ci>Ca_ER</ci>
                  <ci>Ca_PU</ci>

               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_SERCA</ci>
            <apply>
               <divide/>

               <apply>
                  <times/>
                  <ci>Jmax_serca</ci>
                  <apply>
                     <power/>
                     <ci>Ca_PU</ci>
                     <cn cellml:units="dimensionless">2</cn>

                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <power/>
                     <ci>k_serca</ci>
                     <cn cellml:units="dimensionless">2</cn>

                  </apply>
                  <apply>
                     <power/>
                     <ci>Ca_PU</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>

         </apply>
         <apply>
            <eq/>
            <ci>MWC</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>

                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>conc</ci>
                        <ci>Ca_PU</ci>
                     </apply>
                     <ci>K_trans</ci>

                  </apply>
                  <apply>
                     <power/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>

                           <ci>Ca_PU</ci>
                           <ci>K_trans</ci>
                        </apply>
                     </apply>
                     <cn cellml:units="dimensionless">3</cn>
                  </apply>
               </apply>

               <apply>
                  <plus/>
                  <apply>
                     <power/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>

                           <divide/>
                           <ci>Ca_PU</ci>
                           <ci>K_trans</ci>
                        </apply>
                     </apply>
                     <cn cellml:units="dimensionless">4</cn>
                  </apply>

                  <apply>
                     <divide/>
                     <ci>L</ci>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <cn cellml:units="dimensionless">1</cn>

                           <apply>
                              <divide/>
                              <ci>Ca_PU</ci>
                              <ci>K_act</ci>
                           </apply>
                        </apply>
                        <ci>na</ci>

                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_uni</ci>

            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Jmax_uni</ci>
                  <apply>
                     <minus/>
                     <ci>MWC</ci>

                     <apply>
                        <times/>
                        <ci>Ca_m</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>

                                 <minus/>
                                 <cn cellml:units="dimensionless">2</cn>
                              </apply>
                              <ci>FoRT</ci>
                              <apply>
                                 <minus/>
                                 <ci>deltaPsi</ci>

                                 <ci>deltaPsi_star</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>FoRT</ci>

                  <apply>
                     <minus/>
                     <ci>deltaPsi</ci>
                     <ci>deltaPsi_star</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>

                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">2</cn>

                        </apply>
                        <ci>FoRT</ci>
                        <apply>
                           <minus/>
                           <ci>deltaPsi</ci>
                           <ci>deltaPsi_star</ci>
                        </apply>

                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NaCa</ci>

            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Jmax_NaCa</ci>
                  <apply>
                     <exp/>
                     <apply>

                        <times/>
                        <ci>b</ci>
                        <ci>FoRT</ci>
                        <apply>
                           <minus/>
                           <ci>deltaPsi</ci>
                           <ci>deltaPsi_star</ci>

                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>

                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>K_Na</ci>
                           <ci>Na_i</ci>
                        </apply>
                        <ci>n</ci>

                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>K_Ca</ci>

                        <ci>Ca_m</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>

            <ci>J_leak</ci>
            <apply>
               <times/>
               <ci>J_max_leak</ci>
               <apply>
                  <minus/>
                  <ci>Ca_PU</ci>

                  <ci>Ca_i</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>A_res</ci>
            <apply>

               <times/>
               <ci>RToF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>

                        <ci>K_res</ci>
                        <apply>
                           <root/>
                           <ci>NADH_m</ci>
                        </apply>
                     </apply>
                     <apply>
                        <root/>

                        <ci>NAD_m</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>

            <ci>J_o</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>rho_res</ci>
                  <cn cellml:units="dimensionless">0.5</cn>

                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <ci>ra</ci>

                              <apply>
                                 <power/>
                                 <cn cellml:units="dimensionless">10</cn>
                                 <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">6</cn>
                                    <ci>deltapH</ci>

                                 </apply>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>rc1</ci>
                              <apply>
                                 <exp/>

                                 <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">6</cn>
                                    <ci>deltaPsi_B</ci>
                                    <ci>FoRT</ci>
                                 </apply>
                              </apply>

                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <ci>A_res</ci>
                              <ci>FoRT</ci>

                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>

                        </apply>
                        <ci>ra</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <ci>g</ci>
                              <cn cellml:units="dimensionless">6</cn>

                              <ci>FoRT</ci>
                              <ci>deltaPsi</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>rc2</ci>

                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <ci>FoRT</ci>
                              <ci>A_res</ci>
                           </apply>
                        </apply>

                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <ci>FoRT</ci>
                              <ci>deltaPsi</ci>
                              <cn cellml:units="dimensionless">6</cn>

                              <ci>g</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>

                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>r1</ci>

                           <apply>
                              <exp/>
                              <apply>
                                 <times/>
                                 <ci>FoRT</ci>
                                 <ci>A_res</ci>
                              </apply>
                           </apply>

                        </apply>
                     </apply>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <ci>FoRT</ci>
                           <ci>deltaPsi_B</ci>

                           <cn cellml:units="dimensionless">6</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>

                        <ci>r2</ci>
                        <apply>
                           <times/>
                           <ci>r3</ci>
                           <apply>
                              <exp/>
                              <apply>
                                 <times/>

                                 <ci>FoRT</ci>
                                 <ci>A_res</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <exp/>

                        <apply>
                           <times/>
                           <ci>FoRT</ci>
                           <ci>deltaPsi</ci>
                           <ci>g</ci>
                           <cn cellml:units="dimensionless">6</cn>
                        </apply>

                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_Hres</ci>

            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>rho_res</ci>
                  <cn cellml:units="dimensionless">3.966</cn>
                  <apply>
                     <plus/>

                     <apply>
                        <times/>
                        <ci>ra</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>

                              <cn cellml:units="dimensionless">6</cn>
                              <ci>deltapH</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>

                              <ci>FoRT</ci>
                              <ci>A_res</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>rb</ci>

                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">6</cn>
                              <ci>deltapH</ci>

                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>

                        </apply>
                        <apply>
                           <plus/>
                           <ci>ra</ci>
                           <ci>rb</ci>
                        </apply>
                        <apply>
                           <exp/>

                           <apply>
                              <times/>
                              <ci>g</ci>
                              <ci>FoRT</ci>
                              <ci>deltaPsi</ci>
                              <cn cellml:units="dimensionless">6</cn>
                           </apply>

                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>

                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>r1</ci>
                           <apply>
                              <exp/>
                              <apply>

                                 <times/>
                                 <ci>FoRT</ci>
                                 <ci>A_res</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>

                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">6</cn>
                           <ci>FoRT</ci>
                           <ci>deltaPsi_B</ci>
                        </apply>

                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>r2</ci>
                        <apply>

                           <times/>
                           <ci>r3</ci>
                           <apply>
                              <exp/>
                              <apply>
                                 <times/>
                                 <ci>FoRT</ci>
                                 <ci>A_res</ci>

                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <ci>g</ci>

                           <cn cellml:units="dimensionless">6</cn>
                           <ci>FoRT</ci>
                           <ci>deltaPsi</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_glyTotal</ci>
            <apply>
               <divide/>
               <apply>

                  <times/>
                  <ci>beta_max</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <times/>
                        <ci>beta1</ci>

                        <ci>Glc</ci>
                     </apply>
                  </apply>
                  <ci>beta2</ci>
                  <ci>Glc</ci>
                  <ci>ATP_i</ci>
               </apply>

               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>beta3</ci>
                     <ci>ATP_i</ci>

                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>

                           <ci>beta4</ci>
                           <ci>ATP_i</ci>
                        </apply>
                     </apply>
                     <ci>beta5</ci>
                     <ci>Glc</ci>
                  </apply>

                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>beta6</ci>

                           <ci>ATP_i</ci>
                        </apply>
                     </apply>
                     <ci>beta7</ci>
                     <ci>Glc</ci>
                  </apply>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>f_PDHa</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>

               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>u2</ci>
                     <apply>
                        <plus/>

                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>u1</ci>
                           <apply>
                              <power/>
                              <apply>
                                 <plus/>

                                 <cn cellml:units="dimensionless">1</cn>
                                 <apply>
                                    <divide/>
                                    <ci>Ca_m</ci>
                                    <ci>KCa_PDH</ci>
                                 </apply>
                              </apply>

                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>

         <apply>
            <eq/>
            <ci>J_red</ci>
            <apply>
               <plus/>
               <ci>J_red_basal</ci>
               <apply>
                  <times/>

                  <cn cellml:units="dimensionless">6.3944</cn>
                  <ci>f_PDHa</ci>
                  <ci>J_glyTotal</ci>
               </apply>
            </apply>
         </apply>
         <apply>

            <eq/>
            <ci>J_pTCA</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <ci>J_red_basal</ci>
                  <cn cellml:units="dimensionless">3</cn>

               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0.84</cn>
                  <ci>f_PDHa</ci>
                  <ci>J_glyTotal</ci>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>A_F1</ci>
            <apply>
               <times/>
               <ci>RToF</ci>

               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_F1</ci>
                        <ci>ATP_m</ci>

                     </apply>
                     <apply>
                        <times/>
                        <ci>ADP_mfree</ci>
                        <ci>Pi_m</ci>
                     </apply>
                  </apply>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_pF1</ci>
            <apply>
               <divide/>
               <apply>

                  <times/>
                  <ci>rho_F1</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <plus/>

                     <apply>
                        <times/>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <ci>pa</ci>
                              <apply>

                                 <power/>
                                 <cn cellml:units="dimensionless">10</cn>
                                 <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">3</cn>
                                    <ci>deltapH</ci>
                                 </apply>

                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>pc1</ci>
                              <apply>
                                 <exp/>
                                 <apply>

                                    <times/>
                                    <cn cellml:units="dimensionless">3</cn>
                                    <ci>FoRT</ci>
                                    <ci>deltaPsi_B</ci>
                                 </apply>
                              </apply>
                           </apply>

                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <ci>FoRT</ci>
                              <ci>A_F1</ci>
                           </apply>

                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>

                        <ci>pa</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">3</cn>
                              <ci>FoRT</ci>

                              <ci>deltaPsi</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>pc2</ci>
                        <apply>

                           <exp/>
                           <apply>
                              <times/>
                              <ci>FoRT</ci>
                              <ci>A_F1</ci>
                           </apply>
                        </apply>
                        <apply>

                           <exp/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">3</cn>
                              <ci>FoRT</ci>
                              <ci>deltaPsi</ci>
                           </apply>

                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>

                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>p1</ci>
                           <apply>
                              <exp/>
                              <apply>

                                 <times/>
                                 <ci>FoRT</ci>
                                 <ci>A_F1</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>

                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">3</cn>
                           <ci>FoRT</ci>
                           <ci>deltaPsi_B</ci>
                        </apply>

                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>p2</ci>
                        <apply>

                           <times/>
                           <ci>p3</ci>
                           <apply>
                              <exp/>
                              <apply>
                                 <times/>
                                 <ci>FoRT</ci>
                                 <ci>A_F1</ci>

                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">3</cn>

                           <ci>FoRT</ci>
                           <ci>deltaPsi</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>

         <apply>
            <eq/>
            <ci>J_HF1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>

                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <ci>rho_F1</ci>
                  <cn cellml:units="dimensionless">3</cn>
                  <apply>
                     <plus/>

                     <apply>
                        <times/>
                        <ci>pa</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>

                              <cn cellml:units="dimensionless">3</cn>
                              <ci>deltapH</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>

                              <ci>FoRT</ci>
                              <ci>A_F1</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>pb</ci>

                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">3</cn>
                              <ci>deltapH</ci>

                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>

                        </apply>
                        <apply>
                           <plus/>
                           <ci>pa</ci>
                           <ci>pb</ci>
                        </apply>
                        <apply>
                           <exp/>

                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">3</cn>
                              <ci>FoRT</ci>
                              <ci>deltaPsi</ci>
                           </apply>
                        </apply>

                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>

                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>p1</ci>
                           <apply>
                              <exp/>
                              <apply>
                                 <times/>

                                 <ci>FoRT</ci>
                                 <ci>A_F1</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <exp/>

                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">3</cn>
                           <ci>FoRT</ci>
                           <ci>deltaPsi_B</ci>
                        </apply>
                     </apply>

                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>p2</ci>
                        <apply>
                           <times/>

                           <ci>p3</ci>
                           <apply>
                              <exp/>
                              <apply>
                                 <times/>
                                 <ci>FoRT</ci>
                                 <ci>A_F1</ci>

                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">3</cn>

                           <ci>FoRT</ci>
                           <ci>deltaPsi</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>

         </apply>
         <apply>
            <eq/>
            <ci>J_ANT</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>

                  <ci>Jmax_ANT</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>

                           <apply>
                              <times/>
                              <ci>ATP4_i</ci>
                              <ci>ADP3_m</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>ADP3_i</ci>

                              <ci>ATP4_m</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>

                                 <minus/>
                                 <cn cellml:units="dimensionless">1</cn>
                              </apply>
                              <ci>FoRT</ci>
                              <ci>deltaPsi</ci>
                           </apply>
                        </apply>

                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>

                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>ATP4_i</ci>
                           <ci>ADP3_i</ci>
                        </apply>
                        <apply>

                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn cellml:units="dimensionless">1</cn>
                              </apply>
                              <ci>frac</ci>

                              <ci>FoRT</ci>
                              <ci>deltaPsi</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>

                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>ADP3_m</ci>
                        <ci>ATP4_m</ci>
                     </apply>
                  </apply>

               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>PMF</ci>
            <apply>
               <minus/>

               <ci>deltaPsi</ci>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">2.303</cn>
                  <ci>RToF</ci>
                  <ci>deltapH</ci>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_Hleak</ci>
            <apply>
               <times/>
               <ci>g_H</ci>

               <ci>PMF</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_pGly</ci>
            <apply>
               <times/>

               <cn cellml:units="dimensionless">0.15</cn>
               <ci>J_glyTotal</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_hydSS</ci>

            <apply>
               <divide/>
               <ci>J_hyd_max</ci>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>

                     <apply>
                        <divide/>
                        <ci>K_Glc</ci>
                        <ci>Glc</ci>
                     </apply>
                     <ci>nhyd</ci>
                  </apply>

               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_hyd</ci>
            <apply>
               <plus/>

               <apply>
                  <times/>
                  <ci>K_hyd</ci>
                  <ci>ATP_i</ci>
               </apply>
               <ci>J_hydSS</ci>
            </apply>

         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>

               <ci>NADH_m</ci>
            </apply>
            <apply>
               <minus/>
               <ci>J_red</ci>
               <ci>J_o</ci>
            </apply>

         </apply>
         <apply>
            <eq/>
            <ci>NAD_m</ci>
            <apply>
               <minus/>
               <ci>total_NAD_m</ci>
               <ci>NADH_m</ci>

            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>

               </bvar>
               <ci>ADP_m</ci>
            </apply>
            <apply>
               <plus/>
               <ci>J_ANT</ci>
               <apply>
                  <times/>

                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <ci>J_pTCA</ci>
               </apply>
               <apply>
                  <times/>

                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <ci>J_pF1</ci>
               </apply>
            </apply>
         </apply>

         <apply>
            <eq/>
            <ci>ATP_m</ci>
            <apply>
               <minus/>
               <ci>total_ANP_m</ci>
               <ci>ADP_m</ci>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ADP_mfree</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">0.8</cn>

               <ci>ADP_m</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ADP3_m</ci>
            <apply>
               <times/>

               <cn cellml:units="dimensionless">0.45</cn>
               <ci>ADP_mfree</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ATP4_m</ci>

            <apply>
               <times/>
               <cn cellml:units="dimensionless">0.05</cn>
               <ci>ATP_m</ci>
            </apply>
         </apply>
         <apply>
            <eq/>

            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ADP_i</ci>
            </apply>
            <apply>

               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>

                     </apply>
                     <ci>J_ANT</ci>
                     <ci>V_MITO</ci>
                  </apply>
                  <ci>V_cyto</ci>
               </apply>
               <ci>J_hyd</ci>

               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <ci>J_pGly</ci>
               </apply>

            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ATP_i</ci>
            <apply>
               <minus/>
               <ci>total_ANP_i</ci>

               <ci>ADP_i</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ADP_ifree</ci>
            <apply>
               <times/>

               <cn cellml:units="dimensionless">0.3</cn>
               <ci>ADP_i</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ADP3_i</ci>

            <apply>
               <times/>
               <cn cellml:units="dimensionless">0.45</cn>
               <ci>ADP_ifree</ci>
            </apply>
         </apply>
         <apply>
            <eq/>

            <ci>MgADP_i</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">0.55</cn>
               <ci>ADP_ifree</ci>
            </apply>
         </apply>

         <apply>
            <eq/>
            <ci>ATP4_i</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">0.05</cn>
               <ci>ATP_i</ci>

            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>

               </bvar>
               <ci>Ca_PU</ci>
            </apply>
            <apply>
               <times/>
               <ci>fc</ci>
               <apply>
                  <plus/>

                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>J_NaCa</ci>
                           <ci>J_uni</ci>

                        </apply>
                        <ci>V_MITO</ci>
                     </apply>
                     <ci>V_PU</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>

                        <times/>
                        <apply>
                           <minus/>
                           <ci>J_ERout</ci>
                           <ci>J_SERCA</ci>
                        </apply>
                        <ci>V_ER</ci>

                     </apply>
                     <ci>V_PU</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>

                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>J_leak</ci>
                        <ci>V_cyto</ci>
                     </apply>
                     <ci>V_PU</ci>

                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>

                  <ci>time</ci>
               </bvar>
               <ci>Ca_m</ci>
            </apply>
            <apply>
               <times/>
               <ci>fm</ci>

               <apply>
                  <minus/>
                  <ci>J_uni</ci>
                  <ci>J_NaCa</ci>
               </apply>
            </apply>
         </apply>
         <apply>

            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_ER</ci>
            </apply>

            <apply>
               <times/>
               <ci>fe</ci>
               <apply>
                  <minus/>
                  <ci>J_SERCA</ci>
                  <ci>J_ERout</ci>

               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>

               </bvar>
               <ci>deltaPsi</ci>
            </apply>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>

                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <ci>F</ci>
                     <ci>V_MITO</ci>

                     <cn cellml:units="millimole_to_nanomole">1000000</cn>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <ci>Cmito</ci>
               </apply>
               <apply>
                  <plus/>

                  <ci>J_Hleak</ci>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <ci>J_Hres</ci>

                  </apply>
                  <ci>J_ANT</ci>
                  <ci>J_HF1</ci>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>J_uni</ci>

                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>

                  <ci>time</ci>
               </bvar>
               <ci>h</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>

                  <cn cellml:units="per_millimolar">1</cn>
                  <apply>
                     <minus/>
                     <ci>d_INH</ci>
                     <apply>
                        <times/>
                        <ci>h</ci>

                        <apply>
                           <plus/>
                           <ci>Ca_PU</ci>
                           <ci>d_INH</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>

               <ci>tauh</ci>
            </apply>
         </apply>
      </math>
   </component>
   <group>
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="ICC_Membrane">

         <component_ref component="I_Na">
            <component_ref component="d_Na"/>
            <component_ref component="f_Na"/>
         </component_ref>
         <component_ref component="I_Ltype">
            <component_ref component="d_Ltype"/>
            <component_ref component="f_Ltype"/>
            <component_ref component="f_ca_Ltype"/>
         </component_ref>

         <component_ref component="I_VDDR">
            <component_ref component="d_VDDR"/>
            <component_ref component="f_VDDR"/>
         </component_ref>
         <component_ref component="I_BK">
            <component_ref component="d_BK"/>
         </component_ref>
         <component_ref component="I_CaCl">
            <component_ref component="d_CaCl"/>

         </component_ref>
         <component_ref component="I_kv11">
            <component_ref component="d_kv11"/>
            <component_ref component="f_kv11"/>
         </component_ref>
         <component_ref component="I_ERG">
            <component_ref component="d_ERG"/>
         </component_ref>
         <component_ref component="I_bk"/>

         <component_ref component="I_NSCC">
            <component_ref component="d_NSCC"/>
         </component_ref>
         <component_ref component="J_PMCA"/>
         <component_ref component="PU_unit"/>
      </component_ref>
   </group>
   <connection>
      <map_components component_2="I_Na" component_1="d_Na"/>

      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="d_Na" variable_1="d_Na"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_Na" variable_1="T_correction_Na"/>
   </connection>
   <connection>
      <map_components component_2="I_Na" component_1="f_Na"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="f_Na" variable_1="f_Na"/>

      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_Na" variable_1="T_correction_Na"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_Na"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_Na" variable_1="I_Na"/>
      <map_variables variable_2="time" variable_1="time"/>

      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="Na_o" variable_1="Na_o"/>
      <map_variables variable_2="T_correction_Na" variable_1="T_correction_Na"/>
   </connection>
   <connection>
      <map_components component_2="I_Ltype" component_1="d_Ltype"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="d_Ltype" variable_1="d_Ltype"/>
      <map_variables variable_2="time" variable_1="time"/>

      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
   </connection>
   <connection>
      <map_components component_2="I_Ltype" component_1="f_Ltype"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="f_Ltype" variable_1="f_Ltype"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
   </connection>

   <connection>
      <map_components component_2="I_Ltype" component_1="f_ca_Ltype"/>
      <map_variables variable_2="f_ca_Ltype" variable_1="f_ca_Ltype"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_Ltype"/>

      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_Ltype" variable_1="I_Ltype"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="Ca_o" variable_1="Ca_o"/>
      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
   </connection>
   <connection>

      <map_components component_2="I_VDDR" component_1="d_VDDR"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="d_VDDR" variable_1="d_VDDR"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
   </connection>
   <connection>
      <map_components component_2="I_VDDR" component_1="f_VDDR"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>

      <map_variables variable_2="f_VDDR" variable_1="f_VDDR"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_VDDR"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_VDDR" variable_1="I_VDDR"/>

      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="Ca_o" variable_1="Ca_o"/>
      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
   </connection>
   <connection>
      <map_components component_2="I_kv11" component_1="d_kv11"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="d_kv11" variable_1="d_kv11"/>

      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_K" variable_1="T_correction_K"/>
   </connection>
   <connection>
      <map_components component_2="I_kv11" component_1="f_kv11"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="f_kv11" variable_1="f_kv11"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_K" variable_1="T_correction_K"/>

   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_kv11"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_kv11" variable_1="I_kv11"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>

      <map_variables variable_2="T_correction_K" variable_1="T_correction_K"/>
   </connection>
   <connection>
      <map_components component_2="I_ERG" component_1="d_ERG"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="d_ERG" variable_1="d_ERG"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="T_correction_K" variable_1="T_correction_K"/>
   </connection>

   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_ERG"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_ERG" variable_1="I_ERG"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
      <map_variables variable_2="T_correction_K" variable_1="T_correction_K"/>

   </connection>
   <connection>
      <map_components component_2="I_CaCl" component_1="d_CaCl"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="d_CaCl" variable_1="d_CaCl"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_CaCl"/>

      <map_variables variable_2="Cl_i" variable_1="Cl_i"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_CaCl" variable_1="I_CaCl"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="Cl_o" variable_1="Cl_o"/>
   </connection>
   <connection>

      <map_components component_2="I_BK" component_1="d_BK"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="d_BK" variable_1="d_BK"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_BK"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>

      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_BK" variable_1="I_BK"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
      <map_variables variable_2="T_correction_BK" variable_1="T_correction_BK"/>
   </connection>
   <connection>

      <map_components component_2="ICC_Membrane" component_1="I_bk"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>
      <map_variables variable_2="I_bk" variable_1="I_bk"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
   </connection>
   <connection>
      <map_components component_2="I_NSCC" component_1="d_NSCC"/>

      <map_variables variable_2="Ca_PU" variable_1="Ca_PU"/>
      <map_variables variable_2="d_NSCC" variable_1="d_NSCC"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="I_NSCC"/>
      <map_variables variable_2="K_i" variable_1="K_i"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>
      <map_variables variable_2="Vm" variable_1="Vm"/>

      <map_variables variable_2="I_NSCC" variable_1="I_NSCC"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
      <map_variables variable_2="Na_o" variable_1="Na_o"/>
   </connection>
   <connection>
      <map_components component_2="I_NSCC" component_1="PU_unit"/>
      <map_variables variable_2="Ca_PU" variable_1="Ca_PU"/>

   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="PU_unit"/>
      <map_variables variable_2="Vol" variable_1="Vol"/>
      <map_variables variable_2="fc" variable_1="fc"/>
      <map_variables variable_2="V_cyto" variable_1="V_cyto"/>
      <map_variables variable_2="FoRT" variable_1="FoRT"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="Na_i" variable_1="Na_i"/>

      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>
      <map_variables variable_2="time" variable_1="time"/>
      <map_variables variable_2="J_leak" variable_1="J_leak"/>
      <map_variables variable_2="F" variable_1="F"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="J_PMCA"/>
      <map_variables variable_2="J_PMCA" variable_1="J_PMCA"/>
      <map_variables variable_2="Ca_i" variable_1="Ca_i"/>

   </connection>
   <connection>
      <map_components component_2="Environment" component_1="ICC_Membrane"/>
      <map_variables variable_2="Ca_o" variable_1="Ca_o"/>
      <map_variables variable_2="Na_o" variable_1="Na_o"/>
      <map_variables variable_2="K_o" variable_1="K_o"/>
      <map_variables variable_2="Cl_o" variable_1="Cl_o"/>
      <map_variables variable_2="RToF" variable_1="RToF"/>
      <map_variables variable_2="FoRT" variable_1="FoRT"/>

      <map_variables variable_2="F" variable_1="F"/>
      <map_variables variable_2="T_correction_Ca" variable_1="T_correction_Ca"/>
      <map_variables variable_2="T_correction_Na" variable_1="T_correction_Na"/>
      <map_variables variable_2="T_correction_K" variable_1="T_correction_K"/>
      <map_variables variable_2="T_correction_BK" variable_1="T_correction_BK"/>
   </connection>
   <connection>
      <map_components component_2="ICC_Membrane" component_1="Time"/>
      <map_variables variable_2="time" variable_1="time"/>

   </connection>
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    <rdf:li rdf:resource="rdf:#fa17c078-e887-43db-aafe-5024530192aa"/>
    <rdf:li rdf:resource="rdf:#6168b12c-9763-415d-bafc-b99c31b46e31"/>
  </rdf:Seq>
  <rdf:Description rdf:about="">
    <dc:publisher>National University of Singapore</dc:publisher>
    <cmeta:comment rdf:resource="rdf:#65d99544-e87a-4b6d-bd10-9a39c5c73413"/>
    <dcterms:created rdf:resource="rdf:#390b1cc6-49d4-4823-8484-06feacc3b0a5"/>
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    <ns7:boundVariable rdf:resource="#time"/>
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              </ns7:tabulationStepSize>
    <ns7:endingValue>
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              </ns7:endingValue>
    <ns7:maximumStepSize>
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              </ns7:maximumStepSize>
    <ns7:startingValue>
                0.0
              </ns7:startingValue>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2b8a4f86-2b30-4b73-b2d8-88238e41d963">
    <vCard:Given>Alberto</vCard:Given>
    <vCard:Family>Corrias</vCard:Family>
    <vCard:Other/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#afc06574-c5a3-49c8-b6e0-3abf127dd373">
    <dc:subject rdf:resource="rdf:#ce3236eb-d538-43f6-9d3b-76c77471aa63"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7bfcb41a-5e61-4e4b-b3e7-e3c8bbeff10c">
    <dcterms:W3CDTF>2008</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#6168b12c-9763-415d-bafc-b99c31b46e31">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#3f223f43-0c27-4aed-8994-94ef0606dc7d"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#21baef3f-2926-4c96-8483-29b7dd949f28">
    <rdf:rest rdf:resource="http://www.w3.org/2002/07/owl#Nothing"/>
    <rdf:type rdf:resource="http://www.w3.org/1999/02/22-rdf-syntax-ns#List"/>
    <rdf:first rdf:resource="rdf:#b511d665-4c2e-404f-b5a8-f764e0ee5eab"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c31f6f44-a934-4b6b-aca1-2ce9d0e77447">
    <ns7:simulation rdf:resource="#simulation"/>
    <ns8:variable rdf:resource="#Vm"/>
  </rdf:Description>
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    <vCard:Given>Martin</vCard:Given>
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    <vCard:Orgname>National University of Singapore</vCard:Orgname>
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    <dc:title>Am J Physiol Gastrointest Liver Physiol</dc:title>
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