- Author:
- rcai987 <devnull@localhost>
- Date:
- 2014-12-11 15:10:20+13:00
- Desc:
- Added annotations to zeng_laurita_rosenbaum_rudy_1995
- Permanent Source URI:
- https://models.cellml.org/workspace/zeng_laurita_rosenbaum_rudy_1995/rawfile/d0d971854f363d9b0cf04e3ffb3088a28ed6a2c0/zeng_laurita_rosenbaum_rudy_1995.cellml
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This CellML file was generated on 14/05/2010 at 1:34:59 at p.m. using:
COR (0.9.31.1371)
Copyright 2002-2010 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk
CellML 1.0 was used to generate this model
http://www.cellml.org/
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<title>wo components of the delayed rectifier K+ current in ventricular myocytes of the guinea pig type. Theoretical formulation and their role in repolarization</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute,The University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This model is valid CellML, but does not run in OpenCell or COR because it lacks initial conditions and several parameter values. More importantly, it appears it has been coded to conform with procedural matlab code, and even if the above errors were fixed, other problems would likely persist.
</para>
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<sect1 id="sec_structure">
<title>Model Structure</title>
<para>ABSTRACT: Two distinct delayed rectifier K+ currents, IKr and IKs, were found recently in ventricular cells. We formulated these currents theoretically and investigated their roles in action potential repolarization and the restitution of action potential duration (APD). The Luo-Rudy (L-R) model of the ventricular action potential was used in the simulations. The single delayed rectifier K+ current in the model was replaced by IKr and IKs. Our results show that IKs is the major outward current during the plateau repolarization. A specific block of either IKr or IKs can effectively prolong APD to the same degree. Therefore, either channel provides a target for class III antiarrhythmic drugs. In the simulated guinea pig ventricular cell, complete block of IKr does not result in early afterdepolarizations (EADs). In contrast, > 80% block of IKs results in abnormal repolarization and EADs. This behavior reflects the high IKs-to-IKr density ratio (approximately 8:1) in this cell and can be reversed (ie, IKr block can cause EADs) by reducing the ratio of IKs to IKr. The computed APD restitution curve is consistent with the experimental behavior, displaying fast APD variation at short diastolic intervals (DIs) and downward shift at longer DIs with the decrease of basic drive cycle length (BCL). Examining the ionic currents and their underlying kinetic processes, we found that activation of both IKr and IKs is the primary determinant of the APD restitution at shorter DIs, with Ca2+ current through L-type channels (ICa) playing a minor role. The rate of APD change depends on the relative densities of IKr and IKs; it increases when the IKr-to-IKs density ratio is large. The BCL-dependent shift of restitution at longer DIs is primarily attributed to long-lasting changes in [Ca2+]i. This in turn causes different degrees of Ca(2+)-dependent inactivation of ICa and different degrees of Ca(2+)-dependent conductance of IKs at very long DIs (> 5 s) for different BCLs. This BCL dependence of ICa and IKs that is secondary to long-lasting changes in [Ca2+]i is responsible for APD changes at long DIs and can be viewed as a "memory property" of cardiac cells.
</para>
<para>
The original paper reference is cited below:
</para>
<para>Two Components of the Delayed Rectifier K+ Current in Ventricular Myocytes of the Guinea Pig Type, Jinglin Zeng, Kenneth R. Laurita, David S. Rosenbaum and Yoram Rudy, 1995,
<emphasis>Circulation Research</emphasis>, 77, 140-152. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=7788872&dopt=Abstract">PubMed ID: 7788872</ulink>
</para>
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<title>cell diagram of the zeng model showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
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<caption>A schematic diagram showing of Zeng et al. 1995 ventricular cell model.</caption>
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</sect1>
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<variable initial_value="0.75" name="gamma_Nao" public_interface="out" units="dimensionless"/>
<variable initial_value="0.75" name="gamma_Ki" public_interface="out" units="dimensionless"/>
<variable initial_value="0.75" name="gamma_Ko" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00029" name="I_CaCa" units="microA_per_microF"/>
<variable cmeta:id="id_00030" name="I_CaK" units="microA_per_microF"/>
<variable cmeta:id="id_00031" name="I_CaNa" units="microA_per_microF"/>
<variable initial_value="0.00054" name="P_Ca" units="cm_per_second"/>
<variable initial_value="0.000000675" name="P_Na" units="cm_per_second"/>
<variable initial_value="0.000000193" name="P_K" units="cm_per_second"/>
<variable initial_value="1" name="gamma_Cai" units="dimensionless"/>
<variable initial_value="0.34" name="gamma_Cao" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Cai" private_interface="out" public_interface="in" units="micromolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable cmeta:id="id_00032" name="Cao" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00033" name="Nao" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00035" name="Ko" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00034" name="Nai" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00036" name="Ki" public_interface="in" units="millimolar"/>
<variable name="d" private_interface="in" units="dimensionless"/>
<variable name="f" private_interface="in" units="dimensionless"/>
<variable name="f_Ca" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_CaCa</ci>
<apply>
<times/>
<ci>d</ci>
<ci>f</ci>
<ci>f_Ca</ci>
<ci>I_CaCa</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaNa</ci>
<apply>
<times/>
<ci>d</ci>
<ci>f</ci>
<ci>f_Ca</ci>
<ci>I_CaNa</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaK</ci>
<apply>
<times/>
<ci>d</ci>
<ci>f</ci>
<ci>f_Ca</ci>
<ci>I_CaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_CaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_Ca</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Cai</ci>
<ci>Cai</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Cao</ci>
<ci>Cao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_CaNa</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_Na</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Nai</ci>
<ci>Nai</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Nao</ci>
<ci>Nao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_CaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_K</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Ki</ci>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Ko</ci>
<ci>Ko</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L</ci>
<apply>
<plus/>
<ci>i_CaCa</ci>
<ci>i_CaK</ci>
<ci>i_CaNa</ci>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00037" name="L_type_Ca_channel_d_gate">
<variable name="d" public_interface="out" units="dimensionless"/>
<variable name="alpha_d" units="per_millisecond"/>
<variable name="beta_d" units="per_millisecond"/>
<variable name="d_infinity" units="dimensionless"/>
<variable name="tau_d" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_d</ci>
<apply>
<divide/>
<ci>d_infinity</ci>
<ci>tau_d</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>d_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="millivolt">6.24</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>d_infinity</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="millivolt">6.24</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond">0.035</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>d_infinity</ci>
</apply>
<ci>tau_d</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_d</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>d</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_d</ci>
<ci>d</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00038" name="L_type_Ca_channel_f_gate">
<variable name="f" public_interface="out" units="dimensionless"/>
<variable name="alpha_f" units="per_millisecond"/>
<variable name="beta_f" units="per_millisecond"/>
<variable name="f_infinity" units="dimensionless"/>
<variable name="tau_f" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_f</ci>
<apply>
<divide/>
<ci>f_infinity</ci>
<ci>tau_f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_infinity</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">35.06</cn>
</apply>
<cn cellml:units="millivolt">8.6</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.6</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="millivolt">50</cn>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f</ci>
<apply>
<divide/>
<cn cellml:units="millisecond">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0197</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0337</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.02</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>f_infinity</ci>
</apply>
<ci>tau_f</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_f</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_f</ci>
<ci>f</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00039" name="L_type_Ca_channel_f_Ca_gate">
<variable name="f_Ca" public_interface="out" units="dimensionless"/>
<variable initial_value="0.6" name="Km_Ca" units="micromolar"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>f_Ca</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Cai</ci>
<ci>Km_Ca</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00040" name="T_type_Ca_channel">
<variable cmeta:id="id_00043" name="i_Ca_T" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00044" initial_value="0.05" name="g_Ca_T" units="milliS_per_microF"/>
<variable cmeta:id="id_00045" name="E_Ca" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="b" private_interface="in" units="dimensionless"/>
<variable name="g" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_T</ci>
<apply>
<times/>
<ci>g_Ca_T</ci>
<apply>
<power/>
<ci>b</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>g</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_Ca</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cao</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00041" name="T_type_Ca_channel_b_gate">
<variable name="b" public_interface="out" units="dimensionless"/>
<variable name="b_infinity" units="dimensionless"/>
<variable name="tau_b" units="millisecond"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>b</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>b_infinity</ci>
<ci>b</ci>
</apply>
<ci>tau_b</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>b_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14</cn>
</apply>
</apply>
<cn cellml:units="millivolt">10.8</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_b</ci>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="per_millivolt_millisecond">3.7</cn>
<cn cellml:units="per_millivolt_millisecond">6.1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="millivolt">25</cn>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">4.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00042" name="T_type_Ca_channel_g_gate">
<variable name="g" public_interface="out" units="dimensionless"/>
<variable name="g_infinity" units="dimensionless"/>
<variable name="tau_g" units="millisecond"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>g</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>g_infinity</ci>
<ci>g</ci>
</apply>
<ci>tau_g</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">60</cn>
</apply>
<cn cellml:units="millivolt">5.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_g</ci>
<piecewise>
<piece>
<cn cellml:units="millisecond">12</cn>
<apply>
<gt/>
<ci>V</ci>
<cn cellml:units="millivolt">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt_millisecond">0.875</cn>
</apply>
<ci>V</ci>
</apply>
<cn cellml:units="millisecond">12</cn>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00046" name="rapid_time_dependent_potassium_current">
<variable cmeta:id="id_00047" name="i_Kr" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00048" name="g_Kr" units="milliS_per_microF"/>
<variable cmeta:id="id_00049" name="E_Kr" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="Xr" private_interface="in" units="dimensionless"/>
<variable name="Rr" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Kr</ci>
<apply>
<times/>
<cn cellml:units="milliS_per_microF">0.02614</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>Ko</ci>
<cn cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_Kr</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ko</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Kr</ci>
<apply>
<times/>
<ci>g_Kr</ci>
<ci>Xr</ci>
<ci>Rr</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Kr</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00050" name="rapid_time_dependent_potassium_current_Xr_gate">
<variable name="Xr" public_interface="out" units="dimensionless"/>
<variable name="Xr_infinity" units="dimensionless"/>
<variable name="tau_Xr" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Xr</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Xr_infinity</ci>
<ci>Xr</ci>
</apply>
<ci>tau_Xr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Xr_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">21.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_Xr</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.00138</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.2</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.123</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.00061</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">38.9</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.145</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">38.9</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00051" name="rapid_time_dependent_potassium_current_Rr_gate">
<variable name="Rr" public_interface="out" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Rr</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">9</cn>
</apply>
<cn cellml:units="millivolt">22.4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00056" name="slow_time_dependent_potassium_current">
<variable cmeta:id="id_00052" name="i_Ks" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00053" name="g_Ks" units="milliS_per_microF"/>
<variable cmeta:id="id_00054" name="E_Ks" units="millivolt"/>
<variable initial_value="0.01833" name="P_NaK" units="dimensionless"/>
<variable name="P_Ca" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Xs" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Ks</ci>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="milliS_per_microF">0.057</cn>
<cn cellml:units="milliS_per_microF">0.19</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">7.2</cn>
</apply>
<ci>P_Ca</ci>
</apply>
<cn cellml:units="dimensionless">0.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_Ks</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ko</ci>
<apply>
<times/>
<ci>P_NaK</ci>
<ci>Nao</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>Ki</ci>
<apply>
<times/>
<ci>P_NaK</ci>
<ci>Nai</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>P_Ca</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci>Cai</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ks</ci>
<apply>
<times/>
<ci>g_Ks</ci>
<apply>
<power/>
<ci>Xs</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ks</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00055" name="slow_time_dependent_potassium_current_Xs_gate">
<variable name="Xs" public_interface="out" units="dimensionless"/>
<variable name="tau_Xs" public_interface="out" units="dimensionless"/>
<variable name="Xs_infinity" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Xs</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Xs_infinity</ci>
<ci>Xs</ci>
</apply>
<ci>tau_Xs</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Xs_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">1.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">16.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_Xs</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0000719</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.148</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.000131</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0687</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00057" name="time_independent_potassium_current">
<variable cmeta:id="id_00058" name="i_K1" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00059" name="E_K1" private_interface="out" public_interface="out" units="millivolt"/>
<variable cmeta:id="id_00060" name="g_K1" units="milliS_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="K1_infinity" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K1</ci>
<apply>
<times/>
<cn cellml:units="milliS_per_microF">0.75</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>Ko</ci>
<cn cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_K1</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ko</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K1</ci>
<apply>
<times/>
<ci>g_K1</ci>
<ci>K1_infinity</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00061" name="time_independent_potassium_current_K1_gate">
<variable name="K1_infinity" public_interface="out" units="dimensionless"/>
<variable name="alpha_K1" units="per_millisecond"/>
<variable name="beta_K1" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="E_K1" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_K1</ci>
<apply>
<divide/>
<cn cellml:units="per_millisecond">1.02</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.2385</cn>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K1</ci>
</apply>
<cn cellml:units="millivolt">59.215</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_K1</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.49124</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.08032</cn>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">5.476</cn>
</apply>
<ci>E_K1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.06175</cn>
<apply>
<minus/>
<ci>V</ci>
<apply>
<plus/>
<ci>E_K1</ci>
<cn cellml:units="millivolt">594.31</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.5143</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<apply>
<plus/>
<ci>E_K1</ci>
<cn cellml:units="millivolt">4.753</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K1_infinity</ci>
<apply>
<divide/>
<ci>alpha_K1</ci>
<apply>
<plus/>
<ci>alpha_K1</ci>
<ci>beta_K1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00062" name="plateau_potassium_current">
<variable cmeta:id="id_00063" name="i_Kp" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00064" name="E_Kp" units="millivolt"/>
<variable cmeta:id="id_00065" initial_value="0.00552" name="g_Kp" units="milliS_per_microF"/>
<variable name="Kp" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="E_K1" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Kp</ci>
<ci>E_K1</ci>
</apply>
<apply>
<eq/>
<ci>Kp</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="millivolt">7.488</cn>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">5.98</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Kp</ci>
<apply>
<times/>
<ci>g_Kp</ci>
<ci>Kp</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Kp</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00066" name="sarcolemmal_calcium_pump">
<variable cmeta:id="id_00067" name="i_p_Ca" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00068" initial_value="0.5" name="K_mpCa" units="micromolar"/>
<variable cmeta:id="id_00069" initial_value="1.15" name="I_pCa" units="microA_per_microF"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_p_Ca</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_pCa</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>K_mpCa</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00021" name="sodium_background_current">
<variable name="i_Na_b" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.00141" name="g_Nab" units="milliS_per_microF"/>
<variable name="E_NaN" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="E_Na" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_NaN</ci>
<ci>E_Na</ci>
</apply>
<apply>
<eq/>
<ci>i_Na_b</ci>
<apply>
<times/>
<ci>g_Nab</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_NaN</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00070" name="calcium_background_current">
<variable cmeta:id="id_00071" name="i_Ca_b" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00072" initial_value="0.003016" name="g_Cab" units="milliS_per_microF"/>
<variable name="E_CaN" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_CaN</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cao</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_b</ci>
<apply>
<times/>
<ci>g_Cab</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_CaN</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00073" name="sodium_potassium_pump">
<variable cmeta:id="id_00074" name="i_NaK" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00075" name="I_NaK" units="microA_per_microF"/>
<variable cmeta:id="id_00076" name="f_NaK" units="dimensionless"/>
<variable initial_value="10" name="K_mNai" units="millimolar"/>
<variable initial_value="1.5" name="K_mKo" units="millimolar"/>
<variable name="sigma" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>f_NaK</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1245</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0365</cn>
<ci>sigma</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>sigma</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">7</cn>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">67.3</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_NaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>I_NaK</ci>
<ci>f_NaK</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<root/>
<apply>
<power/>
<apply>
<divide/>
<ci>K_mNai</ci>
<ci>Nai</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<ci>Ko</ci>
</apply>
<apply>
<plus/>
<ci>Ko</ci>
<ci>K_mKo</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00077" name="non_specific_calcium_activated_current">
<variable cmeta:id="id_00078" name="i_ns_Ca" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00079" name="i_ns_Na" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00080" name="i_ns_K" public_interface="out" units="microA_per_microF"/>
<variable initial_value="1.75e-7" name="P_ns_Ca" units="cm_per_second"/>
<variable name="gamma_Nai" public_interface="in" units="dimensionless"/>
<variable name="gamma_Nao" public_interface="in" units="dimensionless"/>
<variable name="gamma_Ki" public_interface="in" units="dimensionless"/>
<variable name="gamma_Ko" public_interface="in" units="dimensionless"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="I_ns_Na" units="microA_per_microF"/>
<variable name="I_ns_K" units="microA_per_microF"/>
<variable initial_value="1.2" name="K_m_ns_Ca" units="micromolar"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_ns_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_ns_Na</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_m_ns_Ca</ci>
<ci>Cai</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_ns_K</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_ns_K</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_m_ns_Ca</ci>
<ci>Cai</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_ns_Ca</ci>
<apply>
<plus/>
<ci>i_ns_Na</ci>
<ci>i_ns_K</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_ns_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_ns_Ca</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Nai</ci>
<ci>Nai</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Nao</ci>
<ci>Nao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_ns_K</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_ns_Ca</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Ki</ci>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Ko</ci>
<ci>Ko</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00081" name="Na_Ca_exchanger">
<variable cmeta:id="id_00082" name="i_NaCa" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00083" initial_value="2000" name="K_NaCa" units="microA_per_microF"/>
<variable initial_value="87.5" name="K_mNa" units="millimolar"/>
<variable initial_value="1.38" name="K_mCa" units="millimolar"/>
<variable initial_value="0.1" name="K_sat" units="dimensionless"/>
<variable initial_value="0.35" name="eta" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_NaCa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_NaCa</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_mNa</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>K_mCa</ci>
<ci>Cao</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>K_sat</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>eta</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>eta</ci>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Nai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cao</ci>
</apply>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>eta</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00084" name="calcium_buffers_in_the_myoplasm">
<variable cmeta:id="id_00085" name="Ca_JSR_new" public_interface="out" units="millimolar"/>
<variable initial_value="0.12" name="Cai" public_interface="out" units="micromolar"/>
<variable cmeta:id="id_00086" initial_value="0.5" name="K_mTRPN" units="micromolar"/>
<variable cmeta:id="id_00087" initial_value="2.38" name="K_mCMDN" units="micromolar"/>
<variable cmeta:id="id_00088" initial_value="70" name="TRPN_max" units="micromolar"/>
<variable cmeta:id="id_00089" initial_value="50" name="CMDN_max" units="micromolar"/>
<variable cmeta:id="id_00090" name="TRPN_buff" units="micromolar"/>
<variable cmeta:id="id_00091" name="CMDN_buff" units="micromolar"/>
<variable name="Ca_total" units="micromolar"/>
<variable cmeta:id="id_00092" name="Ca_JSR_old" units="millimolar"/>
<variable cmeta:id="id_00093" name="delta_Ca_JSR" units="millimolar"/>
<variable name="delta_Cai" units="millimolar"/>
<variable name="Cai_old" units="millimolar"/>
<variable name="b1" units="dimensionless"/>
<variable name="c1" units="dimensionless"/>
<variable name="b" units="dimensionless"/>
<variable name="c" units="dimensionless"/>
<variable name="d" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable cmeta:id="id_00094" name="CSQN_max" public_interface="in" units="micromolar"/>
<variable cmeta:id="id_00096" name="K_mCSQN" public_interface="in" units="micromolar"/>
<variable cmeta:id="id_00095" name="CSQN_buff" public_interface="in" units="micromolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>TRPN_buff</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>TRPN_max</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Cai</ci>
<ci>K_mTRPN</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CMDN_buff</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>CMDN_max</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Cai</ci>
<ci>K_mCMDN</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_JSR_new</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<root/>
<apply>
<plus/>
<apply>
<power/>
<ci>b1</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>c1</ci>
</apply>
</apply>
</apply>
<ci>b1</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_Ca_JSR</ci>
<apply>
<minus/>
<ci>Ca_JSR_old</ci>
<ci>Ca_JSR_new</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_Cai</ci>
<apply>
<minus/>
<ci>Cai_old</ci>
<ci>Cai</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>b1</ci>
<apply>
<minus/>
<ci>K_mCSQN</ci>
<apply>
<plus/>
<ci>CSQN_max</ci>
<ci>CSQN_buff</ci>
<ci>delta_Ca_JSR</ci>
<ci>Ca_JSR_old</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>c1</ci>
<apply>
<times/>
<ci>K_mCSQN</ci>
<apply>
<plus/>
<ci>CSQN_buff</ci>
<ci>delta_Ca_JSR</ci>
<ci>Ca_JSR_old</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Cai</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<root/>
<apply>
<minus/>
<apply>
<power/>
<ci>b</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>c</ci>
</apply>
</apply>
</apply>
<apply>
<cos/>
<apply>
<divide/>
<apply>
<arccos/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">9</cn>
<ci>b</ci>
<ci>c</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<power/>
<ci>b</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">27</cn>
<ci>d</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<power/>
<apply>
<minus/>
<apply>
<power/>
<ci>b</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>c</ci>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">3</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci>b</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>b</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>CMDN_max</ci>
<ci>TRPN_max</ci>
<ci>K_mTRPN</ci>
<ci>K_mCMDN</ci>
</apply>
<ci>Ca_total</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>K_mCMDN</ci>
<ci>K_mTRPN</ci>
</apply>
<apply>
<times/>
<ci>TRPN_max</ci>
<ci>K_mCMDN</ci>
</apply>
<apply>
<times/>
<ci>CMDN_max</ci>
<ci>K_mTRPN</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_total</ci>
<apply>
<plus/>
<ci>K_mTRPN</ci>
<ci>K_mCMDN</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>K_mTRPN</ci>
</apply>
<ci>K_mCMDN</ci>
<ci>Ca_total</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_total</ci>
<apply>
<plus/>
<ci>TRPN_buff</ci>
<ci>CMDN_buff</ci>
<ci>delta_Cai</ci>
<ci>Cai_old</ci>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" cmeta:id="id_00101" name="calcium_fluxes_in_the_SR">
<variable name="i_rel" public_interface="out" units="millimolar_per_millisecond"/>
<variable name="i_up" public_interface="out" units="millimolar_per_millisecond"/>
<variable cmeta:id="id_00103" name="i_leak" public_interface="out" units="millimolar_per_millisecond"/>
<variable name="i_tr" public_interface="out" units="millimolar_per_millisecond"/>
<variable cmeta:id="id_00097" name="CSQN_buff" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00098" initial_value="10" name="CSQN_max" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00099" initial_value="0.8" name="K_mCSQN" public_interface="out" units="millimolar"/>
<variable name="G_rel" units="per_millisecond"/>
<variable name="G_rel_max" units="per_millisecond"/>
<variable initial_value="2" name="tau_on" units="millisecond"/>
<variable initial_value="2" name="tau_off" units="millisecond"/>
<variable initial_value="180" name="tau_tr" units="millisecond"/>
<variable initial_value="0" name="t" units="millisecond"/>
<variable initial_value="0.8" name="K_mrel" units="micromolar"/>
<variable name="delta_Ca_i2" units="micromolar"/>
<variable initial_value="0.18" name="delta_Ca_ith" units="micromolar"/>
<variable cmeta:id="id_00102" initial_value="0.7" name="CSQN_th" units="millimolar"/>
<variable initial_value="0.92" name="K_mup" units="micromolar"/>
<variable cmeta:id="id_00104" name="K_leak" units="per_millisecond"/>
<variable initial_value="0.005" name="I_up" units="millimolar_per_millisecond"/>
<variable cmeta:id="id_00105" initial_value="0.15" name="Ca_NSR_max" units="millimolar"/>
<variable name="calcium_overload" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable cmeta:id="id_00100" name="Ca_JSR_new" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00106" name="Ca_NSR" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_rel</ci>
<apply>
<times/>
<ci>G_rel</ci>
<apply>
<minus/>
<ci>Ca_JSR_new</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>G_rel</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>G_rel_max</ci>
<apply>
<minus/>
<ci>delta_Ca_i2</ci>
<ci>delta_Ca_ith</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>K_mrel</ci>
<ci>delta_Ca_i2</ci>
</apply>
<ci>delta_Ca_ith</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>t</ci>
</apply>
<ci>tau_on</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>t</ci>
</apply>
<ci>tau_off</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>calcium_overload</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<ci>G_rel_max</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>t</ci>
</apply>
<ci>tau_on</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>t</ci>
</apply>
<ci>tau_off</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>G_rel_max</ci>
<piecewise>
<piece>
<cn cellml:units="per_millisecond">0</cn>
<apply>
<and/>
<apply>
<eq/>
<ci>calcium_overload</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<lt/>
<ci>delta_Ca_i2</ci>
<ci>delta_Ca_ith</ci>
</apply>
</apply>
</piece>
<piece>
<cn cellml:units="per_millisecond">60</cn>
<apply>
<and/>
<apply>
<eq/>
<ci>calcium_overload</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<geq/>
<ci>delta_Ca_i2</ci>
<ci>delta_Ca_ith</ci>
</apply>
</apply>
</piece>
<piece>
<cn cellml:units="per_millisecond">0</cn>
<apply>
<lt/>
<ci>CSQN_buff</ci>
<ci>CSQN_th</ci>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_millisecond">4</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>CSQN_buff</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>CSQN_max</ci>
<ci>Ca_JSR_new</ci>
</apply>
<apply>
<plus/>
<ci>Ca_JSR_new</ci>
<ci>K_mCSQN</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_up</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_up</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Cai</ci>
<ci>K_mup</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_leak</ci>
<apply>
<times/>
<ci>K_leak</ci>
<ci>Ca_NSR</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_leak</ci>
<apply>
<divide/>
<ci>I_up</ci>
<ci>Ca_NSR_max</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_tr</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_NSR</ci>
<ci>Ca_JSR_new</ci>
</apply>
<ci>tau_tr</ci>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="ionic_concentrations">
<variable cmeta:id="id_00107" initial_value="10" name="Nai" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00108" initial_value="140" name="Nao" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00109" initial_value="1.8" name="Cao" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00110" initial_value="145" name="Ki" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00111" initial_value="5.4" name="Ko" public_interface="out" units="millimolar"/>
<variable initial_value="15" name="Ca_NSR" public_interface="out" units="millimolar"/>
<variable name="Ca_foot" units="micromolar"/>
<variable initial_value="0.000153" name="A_cap" units="mm2"/>
<variable name="R_A_V" units="dimensionless"/>
<variable name="V_myo" units="micro_litre"/>
<variable name="V_cleft" units="micro_litre"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable cmeta:id="id_00022" name="i_Na" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00112" name="i_CaNa" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00113" name="i_CaCa" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00023" name="i_Na_b" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00114" name="i_ns_Na" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00115" name="i_NaCa" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00116" name="i_NaK" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00117" name="i_CaK" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00118" name="i_Kr" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00119" name="i_Ks" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00120" name="i_K1" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00121" name="i_Kp" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00122" name="i_ns_K" public_interface="in" units="microA_per_microF"/>
<variable name="i_tr" public_interface="in" units="millimolar_per_millisecond"/>
<variable cmeta:id="id_00123" name="i_leak" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="i_up" public_interface="in" units="millimolar_per_millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Nai</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_Na</ci>
<ci>i_CaNa</ci>
<ci>i_Na_b</ci>
<ci>i_ns_Na</ci>
<apply>
<times/>
<ci>i_NaCa</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaK</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ki</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_CaK</ci>
<ci>i_Kr</ci>
<ci>i_Ks</ci>
<ci>i_K1</ci>
<ci>i_Kp</ci>
<ci>i_ns_K</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>i_NaK</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ko</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>i_CaK</ci>
<ci>i_Kr</ci>
<ci>i_Ks</ci>
<ci>i_K1</ci>
<ci>i_Kp</ci>
<ci>i_ns_K</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>i_NaK</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_cleft</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
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</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_leak</ci>
<ci>i_tr</ci>
</apply>
<ci>i_up</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
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</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
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</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
<ci>R_A_V</ci>
</apply>
</apply>
</math>
</component>
<group xmlns="http://www.cellml.org/cellml/1.0#">
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
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<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
<component_ref component="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f_Ca_gate"/>
</component_ref>
<component_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_b_gate"/>
<component_ref component="T_type_Ca_channel_g_gate"/>
</component_ref>
<component_ref component="rapid_time_dependent_potassium_current">
<component_ref component="rapid_time_dependent_potassium_current_Xr_gate"/>
<component_ref component="rapid_time_dependent_potassium_current_Rr_gate"/>
</component_ref>
<component_ref component="slow_time_dependent_potassium_current">
<component_ref component="slow_time_dependent_potassium_current_Xs_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
<component_ref component="Na_Ca_exchanger"/>
<component_ref component="plateau_potassium_current"/>
<component_ref component="sarcolemmal_calcium_pump"/>
<component_ref component="sodium_background_current"/>
<component_ref component="calcium_background_current"/>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="non_specific_calcium_activated_current"/>
<component_ref component="ionic_concentrations"/>
<component_ref component="calcium_buffers_in_the_myoplasm"/>
<component_ref component="calcium_fluxes_in_the_SR"/>
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</group>
<group xmlns="http://www.cellml.org/cellml/1.0#">
<relationship_ref relationship="encapsulation"/>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
<component_ref component="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f_Ca_gate"/>
</component_ref>
<component_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_b_gate"/>
<component_ref component="T_type_Ca_channel_g_gate"/>
</component_ref>
<component_ref component="rapid_time_dependent_potassium_current">
<component_ref component="rapid_time_dependent_potassium_current_Xr_gate"/>
<component_ref component="rapid_time_dependent_potassium_current_Rr_gate"/>
</component_ref>
<component_ref component="slow_time_dependent_potassium_current">
<component_ref component="slow_time_dependent_potassium_current_Xs_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
</group>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="fast_sodium_current" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="L_type_Ca_channel" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="T_type_Ca_channel" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rapid_time_dependent_potassium_current" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="slow_time_dependent_potassium_current" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="time_independent_potassium_current" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="Na_Ca_exchanger" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="plateau_potassium_current" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="sarcolemmal_calcium_pump" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="sodium_background_current" 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="sodium_potassium_pump" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="non_specific_calcium_activated_current" component_2="environment"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="ionic_concentrations" 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="calcium_fluxes_in_the_SR" 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#">
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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="membrane" component_2="rapid_time_dependent_potassium_current"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="slow_time_dependent_potassium_current"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="Na_Ca_exchanger"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="time_independent_potassium_current"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="plateau_potassium_current"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="sarcolemmal_calcium_pump"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="sodium_background_current"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="calcium_background_current"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="sodium_potassium_pump"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="non_specific_calcium_activated_current"/>
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<map_variables variable_1="T" variable_2="T"/>
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<map_variables variable_1="i_ns_Ca" variable_2="i_ns_Ca"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="membrane" component_2="ionic_concentrations"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="fast_sodium_current" component_2="ionic_concentrations"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="fast_sodium_current" component_2="sodium_background_current"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="L_type_Ca_channel" component_2="ionic_concentrations"/>
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<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="Ki" variable_2="Ki"/>
<map_variables variable_1="i_CaNa" variable_2="i_CaNa"/>
<map_variables variable_1="i_CaCa" variable_2="i_CaCa"/>
<map_variables variable_1="i_CaK" variable_2="i_CaK"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="L_type_Ca_channel" component_2="calcium_buffers_in_the_myoplasm"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="T_type_Ca_channel" component_2="ionic_concentrations"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="T_type_Ca_channel" component_2="calcium_buffers_in_the_myoplasm"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rapid_time_dependent_potassium_current" component_2="ionic_concentrations"/>
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<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="i_Kr" variable_2="i_Kr"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="slow_time_dependent_potassium_current" component_2="ionic_concentrations"/>
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<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="i_Ks" variable_2="i_Ks"/>
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<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="L_type_Ca_channel" component_2="non_specific_calcium_activated_current"/>
<map_variables variable_1="gamma_Nao" variable_2="gamma_Nao"/>
<map_variables variable_1="gamma_Nai" variable_2="gamma_Nai"/>
<map_variables variable_1="gamma_Ko" variable_2="gamma_Ko"/>
<map_variables variable_1="gamma_Ki" variable_2="gamma_Ki"/>
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