Location: Decker 2009 @ 4dba02ccf742 / decker_2009.cellml

Author:
Catherine Lloyd <c.lloyd@auckland.ac.nz>
Date:
2010-03-16 11:57:53+13:00
Desc:
Fixed some errors and parameter values. Extensively altered the calcium equtions to merge the ODE and the buffered algebraic equations in the MATLAB into a single equation in the CellML. The action potential is now close to the published results but the calcium dynamics still require further fixing.
Permanent Source URI:
https://models.physiomeproject.org/workspace/decker_2009/rawfile/4dba02ccf742f0dfec44f9dea11aaef981e375e4/decker_2009.cellml

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		<article>
			<articleinfo>
				<author>
					<firstname>Catherine</firstname>
					<surname>Lloyd</surname>
					<affiliation>
						<shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
					</affiliation>
				</author>
			</articleinfo>
			<section id="sec_status">
				<title>Model Status</title>
				<para>
				This CellML model is a translation of the original MATLAB code of the original published model. The CellML model runs in both OpenCell and COR but does not yet recreate the published results - the action potential is close but the calcium dynamics still require some fixing. The units have been checked and they are consistent. We will continue to curate this model.
				</para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
ABSTRACT: Computational models of cardiac myocytes are important tools for understanding ionic mechanisms of arrhythmia. This work presents a new model of the canine epicardial myocyte that reproduces a wide range of experimentally observed rate-dependent behaviors in cardiac cell and tissue, including action potential (AP) duration (APD) adaptation, restitution, and accommodation. Model behavior depends on updated formulations for the 4-aminopyridine-sensitive transient outward current (I(to1)), the slow component of the delayed rectifier K(+) current (I(Ks)), the L-type Ca(2+) channel current (I(Ca,L)), and the Na(+)-K(+) pump current (I(NaK)) fit to data from canine ventricular myocytes. We found that I(to1) plays a limited role in potentiating peak I(Ca,L) and sarcoplasmic reticulum Ca(2+) release for propagated APs but modulates the time course of APD restitution. I(Ks) plays an important role in APD shortening at short diastolic intervals, despite a limited role in AP repolarization at longer cycle lengths. In addition, we found that I(Ca,L) plays a critical role in APD accommodation and rate dependence of APD restitution. Ca(2+) entry via I(Ca,L) at fast rate drives increased Na(+)-Ca(2+) exchanger Ca(2+) extrusion and Na(+) entry, which in turn increases Na(+) extrusion via outward I(NaK). APD accommodation results from this increased outward I(NaK). Our simulation results provide valuable insight into the mechanistic basis of rate-dependent phenomena important for determining the heart's response to rapid and irregular pacing rates (e.g., arrhythmia). Accurate simulation of rate-dependent phenomena and increased understanding of their mechanistic basis will lead to more realistic multicellular simulations of arrhythmia and identification of molecular therapeutic targets.
</para>
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>model diagram</title>
							</objectinfo>
							<imagedata fileref="decker_2009.png"/>
						</imageobject>
					</mediaobject>
					<caption>Schematic diagram of the Decker at al. canine ventricular myocyte model (2009).</caption>
				</informalfigure>
				<para>
The complete paper reference is cited below:
</para>
				<para>
Properties and ionic mechanisms of action potential adaptation, restitution, and accommodation in canine epicardium, Keith F. Decker, Jordi Heijman, Jonathan R. Silva, Thomas J. Hund, and Yoram Rudy, 2009, American Journal of Physiology, 296, (4), H1017-H1026.  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/19168720">PubMed ID: 19168720</ulink>
				</para>
			</sect1>
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            Properties and ionic mechanisms of action potential adaptation, restitution, and accommodation in canine epicardium
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                  <times/>
                  <ci>KmCai</ci>
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                     <power/>
                     <ci>Na_o</ci>
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                        <power/>
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                           <divide/>
                           <ci>Na_i</ci>
                           <ci>KmNai</ci>
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                        <cn cellml:units="dimensionless">3</cn>
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               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_i</ci>
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                  <ci>Ca_o</ci>
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                  <times/>
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                     <power/>
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                     <cn cellml:units="dimensionless">3</cn>
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                  <ci>Ca_i</ci>
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            <apply>
               <times/>
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                  <minus/>
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                        <power/>
                        <ci>Na_ss_sr</ci>
                        <cn cellml:units="dimensionless">3</cn>
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                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>eta</ci>
                              <ci>Vm</ci>
                              <ci>F</ci>
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                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
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                        </apply>
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                  <apply>
                     <times/>
                     <apply>
                        <power/>
                        <ci>Na_o</ci>
                        <cn cellml:units="dimensionless">3</cn>
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                     <ci>Ca_ss_sr</ci>
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                        <exp/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>eta</ci>
                                 <cn cellml:units="dimensionless">1</cn>
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                              <ci>Vm</ci>
                              <ci>F</ci>
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                           <apply>
                              <times/>
                              <ci>R</ci>
                              <ci>T</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>denom_ss_1</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <apply>
                     <divide/>
                     <ci>KmCa_act</ci>
                     <ci>Ca_ss_sr</ci>
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                  <cn cellml:units="dimensionless">2</cn>
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            <eq/>
            <ci>denom_ss_2</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <times/>
                  <ci>ksat</ci>
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                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <ci>eta</ci>
                              <cn cellml:units="dimensionless">1</cn>
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                           <ci>Vm</ci>
                           <ci>F</ci>
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                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
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                     </apply>
                  </apply>
               </apply>
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         </apply>
         <apply>
            <eq/>
            <ci>denom_ss_3</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>KmCao</ci>
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                     <power/>
                     <ci>Na_ss_sr</ci>
                     <cn cellml:units="dimensionless">3</cn>
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               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>KmNao</ci>
                     <cn cellml:units="dimensionless">3</cn>
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                  <ci>Ca_ss_sr</ci>
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                  <times/>
                  <apply>
                     <power/>
                     <ci>KmNai</ci>
                     <cn cellml:units="dimensionless">3</cn>
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                  <ci>Ca_o</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Ca_ss_sr</ci>
                        <ci>KmCai</ci>
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                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>denom_ss_4</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>KmCai</ci>
                  <apply>
                     <power/>
                     <ci>Na_o</ci>
                     <cn cellml:units="dimensionless">3</cn>
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                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>Na_ss_sr</ci>
                           <ci>KmNai</ci>
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                        <cn cellml:units="dimensionless">3</cn>
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               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_ss_sr</ci>
                     <cn cellml:units="dimensionless">3</cn>
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                  <ci>Ca_o</ci>
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               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>Na_o</ci>
                     <cn cellml:units="dimensionless">3</cn>
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                  <ci>Ca_ss_sr</ci>
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            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>INaCa</ci>
            <apply>
               <divide/>
               <ci>num</ci>
               <apply>
                  <times/>
                  <ci>denom_1</ci>
                  <ci>denom_2</ci>
                  <apply>
                     <plus/>
                     <ci>denom_3</ci>
                     <ci>denom_4</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>INaCa_ss_sr</ci>
            <apply>
               <divide/>
               <ci>num_ss</ci>
               <apply>
                  <times/>
                  <ci>denom_ss_1</ci>
                  <ci>denom_ss_2</ci>
                  <apply>
                     <plus/>
                     <ci>denom_ss_3</ci>
                     <ci>denom_ss_4</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
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      <variable name="gKp" units="mS_per_uF" initial_value="0.00276"/>
      <variable name="Kp" units="dimensionless"/>
      <variable name="Vm" units="mV" public_interface="in"/>
      <variable name="EK" units="mV" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>IKp</ci>
            <apply>
               <times/>
               <ci>gKp</ci>
               <ci>Kp</ci>
               <apply>
                  <minus/>
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                  <ci>EK</ci>
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         <apply>
            <eq/>
            <ci>Kp</ci>
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               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <cn cellml:units="mV">7.488</cn>
                           <ci>Vm</ci>
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                        <cn cellml:units="mV">5.98</cn>
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                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
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   <component xmlns="http://www.cellml.org/cellml/1.0#" name="IpCa">
      <variable name="IpCa" units="uA_per_uF" public_interface="out"/>
      <variable name="gpCa" units="uA_per_uF" initial_value="0.0575"/>
      <variable name="KmpCa" units="mM" initial_value="0.5e-3"/>
      <variable name="Ca_i" units="mM" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>IpCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>gpCa</ci>
                  <ci>Ca_i</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>KmpCa</ci>
                  <ci>Ca_i</ci>
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            </apply>
         </apply>
      </math>
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      <variable name="ICab" units="uA_per_uF" public_interface="out"/>
      <variable name="PCab" units="L_per_F_ms" initial_value="1.995084e-7"/>
      <variable name="gamma_Ca_i" units="dimensionless" initial_value="1"/>
      <variable name="gamma_Ca_o" units="dimensionless" initial_value="0.341"/>
      <variable name="Vm" units="mV" public_interface="in"/>
      <variable name="F" units="C_per_mole" public_interface="in"/>
      <variable name="R" units="J_per_kmole_K" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="Ca_i" units="mM" public_interface="in"/>
      <variable name="Ca_o" units="mM" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <ci>ICab</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>PCab</ci>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>Vm</ci>
                        <apply>
                           <power/>
                           <ci>F</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
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                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_Ca_i</ci>
                        <ci>Ca_i</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">2</cn>
                                 <ci>Vm</ci>
                                 <ci>F</ci>
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                              <apply>
                                 <times/>
                                 <ci>R</ci>
                                 <ci>T</ci>
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                           </apply>
                        </apply>
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                     <apply>
                        <times/>
                        <ci>gamma_Ca_o</ci>
                        <ci>Ca_o</ci>
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                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <ci>Vm</ci>
                           <ci>F</ci>
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                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
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                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
      </math>
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      <variable name="INab" units="uA_per_uF" public_interface="out"/>
      <variable name="PNab" units="L_per_F_ms" initial_value="0.32e-8"/>
      <variable name="phi" units="dimensionless"/>
      <variable name="Vm" units="mV" public_interface="in"/>
      <variable name="F" units="C_per_mole" public_interface="in"/>
      <variable name="R" units="J_per_kmole_K" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="Na_i" units="mM" public_interface="in"/>
      <variable name="Na_o" units="mM" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <ci>phi</ci>
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               <divide/>
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                  <times/>
                  <ci>F</ci>
                  <ci>Vm</ci>
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                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
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         <apply>
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            <ci>INab</ci>
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               <divide/>
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                  <times/>
                  <ci>F</ci>
                  <ci>PNab</ci>
                  <ci>phi</ci>
                  <apply>
                     <minus/>
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                        <times/>
                        <ci>Na_i</ci>
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                           <exp/>
                           <ci>phi</ci>
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                     <ci>Na_o</ci>
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                  <minus/>
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                     <ci>phi</ci>
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                  <cn cellml:units="dimensionless">1</cn>
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               <times/>
               <ci>gClb</ci>
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                  <minus/>
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      <variable name="Vm" units="mV" public_interface="in" private_interface="out"/>
      <variable name="ENa" units="mV" public_interface="in"/>
      <variable name="mL" units="dimensionless" private_interface="in"/>
      <variable name="hL" units="dimensionless" private_interface="in"/>
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            <ci>INaL</ci>
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               <times/>
               <ci>gNaL</ci>
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                  <power/>
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               <ci>hL</ci>
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      <variable name="time" units="ms" public_interface="in"/>
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            <eq/>
            <ci>amL</ci>
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               <divide/>
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                  <times/>
                  <cn cellml:units="per_ms_mV">0.32</cn>
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                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="per_mV">0.1</cn>
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                           <plus/>
                           <ci>Vm</ci>
                           <cn cellml:units="mV">47.13</cn>
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            <ci>bmL</ci>
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               <times/>
               <cn cellml:units="per_ms">0.08</cn>
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                  <exp/>
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                     <divide/>
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                        <minus/>
                        <ci>Vm</ci>
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                     <cn cellml:units="mV">11</cn>
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               <bvar>
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               <minus/>
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                  <ci>amL</ci>
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                     <minus/>
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                  <times/>
                  <ci>bmL</ci>
                  <ci>mL</ci>
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      <variable name="time" units="ms" public_interface="in"/>
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            <eq/>
            <ci>hL_infinity</ci>
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               <divide/>
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                     <exp/>
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                        <divide/>
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                           <plus/>
                           <ci>Vm</ci>
                           <cn cellml:units="mV">91</cn>
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               <divide/>
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                  <minus/>
                  <ci>hL_infinity</ci>
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               <ci>tau_hL</ci>
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      <variable name="EKs" units="mV" public_interface="out"/>
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                     <ci>K_i</ci>
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            <ci>EKs</ci>
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               <times/>
               <apply>
                  <divide/>
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                     <ci>R</ci>
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                  <ci>F</ci>
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                  <ln/>
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                     <divide/>
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                        <plus/>
                        <ci>K_o</ci>
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                           <times/>
                           <ci>prnak</ci>
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                        <plus/>
                        <ci>K_i</ci>
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            <ci>ECl</ci>
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               <times/>
               <apply>
                  <divide/>
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                     <times/>
                     <apply>
                        <minus/>
                        <ci>R</ci>
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                     <ci>Cl_o</ci>
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                              <ci>Vm</ci>
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                              <cn cellml:units="mV">9</cn>
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            <ci>alpha_i2f</ci>
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               <cn cellml:units="per_ms">0.025</cn>
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                        <divide/>
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                           <plus/>
                           <ci>Vm</ci>
                           <cn cellml:units="mV">58</cn>
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                        <cn cellml:units="mV">5</cn>
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            <eq/>
            <ci>Ileak</ci>
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            <ci>Itr</ci>
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               <divide/>
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                                 <ci>INaCa</ci>
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                           <ci>Vss_CaL</ci>
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                        <times/>
                        <ci>BSRmax</ci>
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                        <power/>
                        <apply>
                           <plus/>
                           <ci>KmBSR</ci>
                           <ci>Ca_ss_CaL</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>BSLmax</ci>
                        <ci>KmBSL</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>KmBSL</ci>
                           <ci>Ca_ss_CaL</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_NSR</ci>
            </apply>
            <apply>
               <minus/>
               <ci>Iup</ci>
               <apply>
                  <plus/>
                  <ci>Ileak</ci>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Itr</ci>
                        <ci>Vjsr</ci>
                     </apply>
                     <ci>Vnsr</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_JSR</ci>
            </apply>
            <apply>
               <times/>
               <ci>bcsqn</ci>
               <apply>
                  <minus/>
                  <ci>Itr</ci>
                  <ci>Irel</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>bcsqn</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>kmcsqn</ci>
                        <ci>csqnbar</ci>
                     </apply>
                     <apply>
                        <power/>
                        <apply>
                           <plus/>
                           <ci>Ca_JSR</ci>
                           <ci>kmcsqn</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="Na">
      <variable name="Na_i" units="mM" initial_value="6.935575" public_interface="out"/>
      <variable name="Na_ss_sr" units="mM" initial_value="6.935607" public_interface="out"/>
      <variable name="Idiff_Na" units="mM_per_ms"/>
      <variable name="tau_diff" units="ms" public_interface="in"/>
      <variable name="time" units="ms" public_interface="in"/>
      <variable name="AF" units="uF_mole_per_C" public_interface="in"/>
      <variable name="INaCa" units="uA_per_uF" public_interface="in"/>
      <variable name="INaCa_ss_sr" units="uA_per_uF" public_interface="in"/>
      <variable name="INaK" units="uA_per_uF" public_interface="in"/>
      <variable name="INa" units="uA_per_uF" public_interface="in"/>
      <variable name="INaL" units="uA_per_uF" public_interface="in"/>
      <variable name="INab" units="uA_per_uF" public_interface="in"/>
      <variable name="Vmyo" units="uL" public_interface="in"/>
      <variable name="Vss_sr" units="uL" public_interface="in"/>
      <variable name="CT_Na_Cl" units="mM_per_ms" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Idiff_Na</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Na_ss_sr</ci>
                  <ci>Na_i</ci>
               </apply>
               <ci>tau_diff</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Na_i</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">3</cn>
                              <ci>INaCa</ci>
                           </apply>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">3</cn>
                              <ci>INaK</ci>
                           </apply>
                           <ci>INa</ci>
                           <ci>INaL</ci>
                           <ci>INab</ci>
                        </apply>
                        <ci>AF</ci>
                     </apply>
                     <ci>Vmyo</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>CT_Na_Cl</ci>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Idiff_Na</ci>
                           <ci>Vss_sr</ci>
                        </apply>
                        <ci>Vmyo</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Na_ss_sr</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <ci>INaCa_ss_sr</ci>
                        <ci>AF</ci>
                     </apply>
                     <ci>Vss_sr</ci>
                  </apply>
                  <ci>Idiff_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="Cl">
      <variable name="Cl_i" units="mM" initial_value="20.26842" public_interface="out"/>
      <variable name="Cl_ss" units="mM" initial_value="20.26842" public_interface="out"/>
      <variable name="Idiff_Cl" units="mM_per_ms"/>
      <variable name="tau_diff" units="ms" public_interface="in"/>
      <variable name="time" units="ms" public_interface="in"/>
      <variable name="AF" units="uF_mole_per_C" public_interface="in"/>
      <variable name="Ito2" units="uA_per_uF" public_interface="in"/>
      <variable name="IClb" units="uA_per_uF" public_interface="in"/>
      <variable name="Vmyo" units="uL" public_interface="in"/>
      <variable name="Vss_sr" units="uL" public_interface="in"/>
      <variable name="CT_Na_Cl" units="mM_per_ms" public_interface="in"/>
      <variable name="CT_K_Cl" units="mM_per_ms" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Idiff_Cl</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>Cl_ss</ci>
                  <ci>Cl_i</ci>
               </apply>
               <ci>tau_diff</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cl_i</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>IClb</ci>
                        <ci>AF</ci>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>Vmyo</ci>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>CT_Na_Cl</ci>
                     <ci>CT_K_Cl</ci>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Idiff_Cl</ci>
                           <ci>Vss_sr</ci>
                        </apply>
                        <ci>Vmyo</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cl_ss</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Ito2</ci>
                        <ci>AF</ci>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>Vss_sr</ci>
                     </apply>
                  </apply>
                  <ci>Idiff_Cl</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="K">
      <variable name="K_i" units="mM" initial_value="145.5689" public_interface="out"/>
      <variable name="time" units="ms" public_interface="in"/>
      <variable name="AF" units="uF_mole_per_C" public_interface="in"/>
      <variable name="IKs" units="uA_per_uF" public_interface="in"/>
      <variable name="IKr" units="uA_per_uF" public_interface="in"/>
      <variable name="IK1" units="uA_per_uF" public_interface="in"/>
      <variable name="Ito1" units="uA_per_uF" public_interface="in"/>
      <variable name="IKp" units="uA_per_uF" public_interface="in"/>
      <variable name="INaK" units="uA_per_uF" public_interface="in"/>
      <variable name="I_stim" units="uA_per_uF" public_interface="in"/>
      <variable name="Vmyo" units="uL" public_interface="in"/>
      <variable name="CT_K_Cl" units="mM_per_ms" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_i</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>IKs</ci>
                              <ci>IKr</ci>
                              <ci>IK1</ci>
                              <ci>Ito1</ci>
                              <ci>IKp</ci>
                              <ci>I_stim</ci>
                           </apply>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>INaK</ci>
                           </apply>
                        </apply>
                        <ci>AF</ci>
                     </apply>
                     <ci>Vmyo</ci>
                  </apply>
                  <ci>CT_K_Cl</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="CaMK_active">
      <variable name="CaMK_active" units="dimensionless" public_interface="out"/>
      <variable name="Km" units="mM" initial_value="0.0015" public_interface="out"/>
      <variable name="CaMK_trap" units="dimensionless" initial_value="0.0018861341"/>
      <variable name="alpha_CaMK" units="per_ms" initial_value="0.05"/>
      <variable name="beta_CaMK" units="per_ms" initial_value="0.00068"/>
      <variable name="CaMK_0" units="dimensionless" initial_value="0.05"/>
      <variable name="time" units="ms" public_interface="in"/>
      <variable name="Ca_ss_sr" units="mM" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>CaMK_trap</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_CaMK</ci>
                  <ci>CaMK_active</ci>
                  <apply>
                     <minus/>
                     <ci>CaMK_active</ci>
                     <ci>CaMK_trap</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_CaMK</ci>
                  <ci>CaMK_trap</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CaMK_active</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>CaMK_0</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>CaMK_trap</ci>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Km</ci>
                        <ci>Ca_ss_sr</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>CaMK_trap</ci>
            </apply>
         </apply>
      </math>
   </component>
   <group xmlns="http://www.cellml.org/cellml/1.0#">
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="INa">
         <component_ref component="INa_m_gate"/>
         <component_ref component="INa_h_gate"/>
         <component_ref component="INa_j_gate"/>
      </component_ref>
      <component_ref component="INaL">
         <component_ref component="INaL_mL_gate"/>
         <component_ref component="INaL_hL_gate"/>
      </component_ref>
      <component_ref component="IK1">
         <component_ref component="IK1_K1_gate"/>
      </component_ref>
      <component_ref component="IKr">
         <component_ref component="IKr_r_gate"/>
         <component_ref component="IKr_xr_gate"/>
      </component_ref>
      <component_ref component="Ito1">
         <component_ref component="Ito1_a_gate"/>
         <component_ref component="Ito1_i1f_gate"/>
         <component_ref component="Ito1_i1s_gate"/>
      </component_ref>
      <component_ref component="Ito2">
         <component_ref component="Ito2_i2f_gate"/>
      </component_ref>
   </group>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="membrane" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IKs" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ICaL" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INa" component_2="environment"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IK1" component_2="environment"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ito1" component_2="environment"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Irel" component_2="environment"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Na" component_2="environment"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Cl" component_2="environment"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="K" component_2="environment"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="CaMK_active" component_2="environment"/>
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      <map_components component_1="model_parameters" component_2="cell_geometry"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="membrane"/>
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      <map_components component_1="IKs" component_2="membrane"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ICaL" component_2="membrane"/>
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      <map_components component_1="INa" component_2="membrane"/>
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      <map_components component_1="INaK" component_2="membrane"/>
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      <map_variables variable_1="INaCa" variable_2="INaCa"/>
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      <map_components component_1="IpCa" component_2="membrane"/>
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      <map_components component_1="ICab" component_2="membrane"/>
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      <map_components component_1="Ito1" component_2="membrane"/>
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      <map_components component_1="Ito2" component_2="membrane"/>
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      <map_components component_1="reversal_potentials" component_2="IKs"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="IKs"/>
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      <map_variables variable_1="F" variable_2="F"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="IKs"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="ICaL"/>
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      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="ICaL"/>
      <map_variables variable_1="Ca_ss_CaL" variable_2="Ca_ss_CaL"/>
      <map_variables variable_1="ICaL" variable_2="ICaL"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="INa"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="INaK"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Na" component_2="INaK"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="INaK" variable_2="INaK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="INaCa"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="INaCa"/>
      <map_variables variable_1="Ca_ss_sr" variable_2="Ca_ss_sr"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="INaCa" variable_2="INaCa"/>
      <map_variables variable_1="INaCa_ss_sr" variable_2="INaCa_ss_sr"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Na" component_2="INaCa"/>
      <map_variables variable_1="Na_ss_sr" variable_2="Na_ss_sr"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="INaCa" variable_2="INaCa"/>
      <map_variables variable_1="INaCa_ss_sr" variable_2="INaCa_ss_sr"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="IKp"/>
      <map_variables variable_1="EK" variable_2="EK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="IpCa"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="IpCa" variable_2="IpCa"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="ICab"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="ICab" variable_2="ICab"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="ICab"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="INab"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Na" component_2="INab"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="INab" variable_2="INab"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="IClb"/>
      <map_variables variable_1="ECl" variable_2="ECl"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="INaL"/>
      <map_variables variable_1="ENa" variable_2="ENa"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="reversal_potentials"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
      <map_variables variable_1="Cl_o" variable_2="Cl_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Na" component_2="reversal_potentials"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="K" component_2="reversal_potentials"/>
      <map_variables variable_1="K_i" variable_2="K_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Cl" component_2="reversal_potentials"/>
      <map_variables variable_1="Cl_i" variable_2="Cl_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="IK1"/>
      <map_variables variable_1="EK" variable_2="EK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="IK1"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="CT_Na_Cl"/>
      <map_variables variable_1="ENa" variable_2="ENa"/>
      <map_variables variable_1="ECl" variable_2="ECl"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="CT_K_Cl"/>
      <map_variables variable_1="EK" variable_2="EK"/>
      <map_variables variable_1="ECl" variable_2="ECl"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="IKr"/>
      <map_variables variable_1="EK" variable_2="EK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="IKr"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="reversal_potentials" component_2="Ito1"/>
      <map_variables variable_1="EK" variable_2="EK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="model_parameters" component_2="Ito2"/>
      <map_variables variable_1="R" variable_2="R"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="Cl_o" variable_2="Cl_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Cl" component_2="Ito2"/>
      <map_variables variable_1="Cl_i" variable_2="Cl_i"/>
      <map_variables variable_1="Ito2" variable_2="Ito2"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Irel" component_2="Ito2"/>
      <map_variables variable_1="Irel" variable_2="Irel"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ICaL" component_2="Irel"/>
      <map_variables variable_1="ICaL" variable_2="ICaL"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="Irel"/>
      <map_variables variable_1="Ca_JSR" variable_2="Ca_JSR"/>
      <map_variables variable_1="Irel" variable_2="Irel"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="CaMK_active" component_2="Irel"/>
      <map_variables variable_1="CaMK_active" variable_2="CaMK_active"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="Iup"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="Iup" variable_2="Iup"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="CaMK_active" component_2="Iup"/>
      <map_variables variable_1="CaMK_active" variable_2="CaMK_active"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="Ileak"/>
      <map_variables variable_1="Ca_NSR" variable_2="Ca_NSR"/>
      <map_variables variable_1="Ileak" variable_2="Ileak"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="Itr"/>
      <map_variables variable_1="Ca_NSR" variable_2="Ca_NSR"/>
      <map_variables variable_1="Ca_JSR" variable_2="Ca_JSR"/>
      <map_variables variable_1="Itr" variable_2="Itr"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="cell_geometry" component_2="Ca"/>
      <map_variables variable_1="AF" variable_2="AF"/>
      <map_variables variable_1="Vmyo" variable_2="Vmyo"/>
      <map_variables variable_1="Vnsr" variable_2="Vnsr"/>
      <map_variables variable_1="Vjsr" variable_2="Vjsr"/>
      <map_variables variable_1="Vss_sr" variable_2="Vss_sr"/>
      <map_variables variable_1="Vss_CaL" variable_2="Vss_CaL"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="cell_geometry" component_2="Na"/>
      <map_variables variable_1="AF" variable_2="AF"/>
      <map_variables variable_1="Vmyo" variable_2="Vmyo"/>
      <map_variables variable_1="Vss_sr" variable_2="Vss_sr"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="Na"/>
      <map_variables variable_1="tau_diff" variable_2="tau_diff"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INa" component_2="Na"/>
      <map_variables variable_1="INa" variable_2="INa"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INaL" component_2="Na"/>
      <map_variables variable_1="INaL" variable_2="INaL"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="CT_Na_Cl" component_2="Na"/>
      <map_variables variable_1="CT_Na_Cl" variable_2="CT_Na_Cl"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="cell_geometry" component_2="Cl"/>
      <map_variables variable_1="AF" variable_2="AF"/>
      <map_variables variable_1="Vmyo" variable_2="Vmyo"/>
      <map_variables variable_1="Vss_sr" variable_2="Vss_sr"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="Cl"/>
      <map_variables variable_1="tau_diff" variable_2="tau_diff"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IClb" component_2="Cl"/>
      <map_variables variable_1="IClb" variable_2="IClb"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="CT_Na_Cl" component_2="Cl"/>
      <map_variables variable_1="CT_Na_Cl" variable_2="CT_Na_Cl"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="CT_K_Cl" component_2="Cl"/>
      <map_variables variable_1="CT_K_Cl" variable_2="CT_K_Cl"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="cell_geometry" component_2="K"/>
      <map_variables variable_1="AF" variable_2="AF"/>
      <map_variables variable_1="Vmyo" variable_2="Vmyo"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IKs" component_2="K"/>
      <map_variables variable_1="IKs" variable_2="IKs"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IKr" component_2="K"/>
      <map_variables variable_1="IKr" variable_2="IKr"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IK1" component_2="K"/>
      <map_variables variable_1="IK1" variable_2="IK1"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IKp" component_2="K"/>
      <map_variables variable_1="IKp" variable_2="IKp"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INaK" component_2="K"/>
      <map_variables variable_1="INaK" variable_2="INaK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ito1" component_2="K"/>
      <map_variables variable_1="Ito1" variable_2="Ito1"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="CT_K_Cl" component_2="K"/>
      <map_variables variable_1="CT_K_Cl" variable_2="CT_K_Cl"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ca" component_2="CaMK_active"/>
      <map_variables variable_1="Ca_ss_sr" variable_2="Ca_ss_sr"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INa" component_2="INa_m_gate"/>
      <map_variables variable_1="m" variable_2="m"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INa" component_2="INa_h_gate"/>
      <map_variables variable_1="h" variable_2="h"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INa" component_2="INa_j_gate"/>
      <map_variables variable_1="j" variable_2="j"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INaL" component_2="INaL_mL_gate"/>
      <map_variables variable_1="mL" variable_2="mL"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="INaL" component_2="INaL_hL_gate"/>
      <map_variables variable_1="hL" variable_2="hL"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IK1" component_2="IK1_K1_gate"/>
      <map_variables variable_1="K1" variable_2="K1"/>
      <map_variables variable_1="EK" variable_2="EK"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IKr" component_2="IKr_r_gate"/>
      <map_variables variable_1="r" variable_2="r"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="IKr" component_2="IKr_xr_gate"/>
      <map_variables variable_1="xr" variable_2="xr"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ito1" component_2="Ito1_a_gate"/>
      <map_variables variable_1="a" variable_2="a"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ito1" component_2="Ito1_i1s_gate"/>
      <map_variables variable_1="i1s" variable_2="i1s"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ito1" component_2="Ito1_i1f_gate"/>
      <map_variables variable_1="i1f" variable_2="i1f"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="Ito2" component_2="Ito2_i2f_gate"/>
      <map_variables variable_1="i2f" variable_2="i2f"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="Vm" variable_2="Vm"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="K" component_2="membrane"/>
      <map_variables variable_1="I_stim" variable_2="i_Stim"/>
   </connection>
</model>