- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2009-06-17 14:27:50+12:00
- Desc:
- committing version01 of greenstein_wu_po_tomaselli_winslow_2000
- Permanent Source URI:
- https://models.cellml.org/workspace/greenstein_wu_po_tomaselli_winslow_2000/rawfile/ce79de95f0f48d84dc67b0cfcd1404a44e9c1e74/greenstein_wu_po_tomaselli_winslow_2000.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : greenstein_model_2000.xml
CREATED : 5th September 2003
LAST MODIFIED : 20th April 2005
AUTHOR : Catherine Lloyd
Bioengineering Institute
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the CellML Metadata 1.0 Specification released on 16th
January, 2002.
DESCRIPTION : This file contains a CellML description of Greenstein et al's 2000 mathematical model of the role of the transient outward current Ito1 in shaping action potential morphology and duration.
CHANGES:
20/04/2005 - PJV - Made MathML id's unique
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="greenstein_wu_po_tomaselli_winslow_2000_version01" name="greenstein_wu_po_tomaselli_winslow_2000_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Role of Ito1 in Shaping Action Potential Morphology and Duration</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
The Kv4.3-encoded current (<emphasis>I<subscript>Kv4.3</subscript>
</emphasis>) has been identified as being the major component of the voltage-dependent, calcium-independent, transient outward current <emphasis>I<subscript>to1</subscript>
</emphasis>. In turn, this current has been shown to play an essential role in shaping the morphology of the early phase of the cardiac ventricular action potential. However, its influence on action potential duration remains unclear. In order to help resolve conflicting experimental results, in 2000 Greenstein <emphasis>et al.</emphasis> published Markov models of the human and canine Kv4.3- and Kv1.4-encoded currents. These were embedded within a canine midmyocardial ventricular myocyte model which was previously published by <ulink url="${HTML_EXMPL_W_MODEL}">Winslow <emphasis>et al.</emphasis> (1999)</ulink> (see <xref linkend="fig_cell_diagram"/> below for a schematic of the model).
</para>
<para>
Model simulations helped to elucidate the mechanisms by which <emphasis>I<subscript>to1</subscript>
</emphasis> influences action potential shape and duration. Strong coupling between L-type Ca<superscript>2+</superscript> current and <emphasis>I<subscript>Kv4.3</subscript>
</emphasis> was observed. In addition, a bimodal relationship between <emphasis>I<subscript>Kv4.3</subscript>
</emphasis> density and action potential duration, such that changes in <emphasis>I<subscript>Kv4.3</subscript>
</emphasis> density may either lengthen or shorten action potential duration, depending on the baseline <emphasis>I<subscript>to1</subscript>
</emphasis> level, was also predicted.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
<ulink url="http://circres.ahajournals.org/cgi/content/abstract/87/11/1026">Role of the Calcium-Independent Transient Outward Current <emphasis>I<subscript>to1</subscript>
</emphasis> in Shaping Action Potential Morphology and Duration</ulink> Joseph L. Greenstein, Richard Wu, Sunny Po, Gordon F. Tomaselli, and Raimond L. Winslow, 2000, <ulink url="http://circres.ahajournals.org/">
<emphasis>Circulation Research</emphasis>
</ulink>, 87, 1026-1033. (<ulink url="http://circres.ahajournals.org/cgi/content/full/87/11/1026">Full text (HTML)</ulink> and <ulink url="http://circres.ahajournals.org/cgi/reprint/87/11/1026.pdf">PDF</ulink> versions of the article are available to subscribers on the <emphasis>Circulation Research</emphasis> website.) <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=11090548&dopt=Abstract">PubMed ID: 11090548</ulink>
</para>
<para>
The raw CellML description of the model can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>.
</para>
<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>cell diagram</title>
</objectinfo>
<imagedata fileref="greenstein_2000.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Winslow <emphasis>et al</emphasis> canine ventricular cell model. The canine <emphasis>I<subscript>to1</subscript>
</emphasis> current described in the Greenstein <emphasis>et al.</emphasis> 2000 paper is embedded within this whole cell model. The Markov model structure consists of four closed states (C<subscript>0</subscript>-C<subscript>3</subscript>), four closed, inactivated states(CI<subscript>0</subscript>-CI<subscript>3</subscript>), one open state (O), and one open-inactivated state (OI). The transition rates are voltage dependent, and scaling factors are used to couple inactivation to activation.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<!--
Below, we define some additional units for association with variables and
constants within the model. The identifiers are fairly self-explanatory.
-->
<units name="millisecond">
<unit units="second" prefix="milli"/>
</units>
<units name="per_millisecond">
<unit units="second" prefix="milli" exponent="-1"/>
</units>
<units name="millivolt">
<unit units="volt" prefix="milli"/>
</units>
<units name="per_millivolt">
<unit units="volt" prefix="milli" exponent="-1"/>
</units>
<units name="per_millivolt_millisecond">
<unit units="millivolt" exponent="-1"/>
<unit units="millisecond" exponent="-1"/>
</units>
<units name="milliS_per_microF">
<unit units="siemens" prefix="milli"/>
<unit units="farad" prefix="micro" exponent="-1"/>
</units>
<units name="picoF_per_mm2">
<unit units="farad" prefix="pico"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<units name="microA_per_microF">
<unit units="ampere" prefix="micro"/>
<unit units="farad" prefix="micro" exponent="-1"/>
</units>
<units name="millimolar">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="millimolar_per_millisecond">
<unit units="millimolar"/>
<unit units="millisecond" exponent="-1"/>
</units>
<units name="millimolar3_per_millisecond">
<unit units="millimolar" exponent="-3"/>
<unit units="millisecond" exponent="-1"/>
</units>
<units name="millimolar4_per_millisecond">
<unit units="millimolar" exponent="-4"/>
<unit units="millisecond" exponent="-1"/>
</units>
<units name="joule_per_mole_kelvin">
<unit units="joule"/>
<unit units="mole" exponent="-1"/>
<unit units="kelvin" exponent="-1"/>
</units>
<units name="coulomb_per_millimole">
<unit units="coulomb"/>
<unit units="mole" prefix="milli" exponent="-1"/>
</units>
<units name="cm_per_second">
<unit units="metre" prefix="centi"/>
<unit units="second" exponent="-1"/>
</units>
<units name="mm_per_s">
<unit units="metre" prefix="milli"/>
<unit units="second" exponent="-1"/>
</units>
<units name="cm2">
<unit units="metre" prefix="centi" exponent="2"/>
</units>
<units name="micro_litre">
<unit units="litre" prefix="micro"/>
</units>
<!--
The "environment" component is used to declare variables that are used by
all or most of the other components, in this case just "time".
-->
<component name="environment">
<variable units="millisecond" public_interface="out" name="time"/>
</component>
<!--
The "membrane" component is really the `root' node of our model.
It defines the action potential variable "V" among other things.
-->
<component name="membrane">
<variable units="millivolt" public_interface="out" name="V" initial_value="-95.87"/>
<variable units="joule_per_mole_kelvin" public_interface="out" name="R" initial_value="8.314"/>
<variable units="kelvin" public_interface="out" name="T" initial_value="310.0"/>
<variable units="coulomb_per_millimole" public_interface="out" name="F" initial_value="96.5"/>
<variable units="picoF_per_mm2" public_interface="out" name="C_sc" initial_value="10E4"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="microA_per_microF" public_interface="in" name="i_Na"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca_K"/>
<variable units="microA_per_microF" public_interface="in" name="i_Kr"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ks"/>
<variable units="microA_per_microF" public_interface="in" name="i_to1"/>
<variable units="microA_per_microF" public_interface="in" name="i_K1"/>
<variable units="microA_per_microF" public_interface="in" name="i_Kp"/>
<variable units="microA_per_microF" public_interface="in" name="i_NaCa"/>
<variable units="microA_per_microF" public_interface="in" name="i_NaK"/>
<variable units="microA_per_microF" public_interface="in" name="i_p_Ca"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca_b"/>
<variable units="microA_per_microF" public_interface="in" name="i_Na_b"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="membrane_voltage_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> V </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci> i_Na </ci>
<ci> i_Ca </ci>
<ci> i_Ca_K </ci>
<ci> i_Kr </ci>
<ci> i_Ks </ci>
<ci> i_to1 </ci>
<ci> i_K1 </ci>
<ci> i_Kp </ci>
<ci> i_NaCa </ci>
<ci> i_NaK </ci>
<ci> i_p_Ca </ci>
<ci> i_Na_b </ci>
<ci> i_Ca_b </ci>
</apply>
</apply>
<ci> C_sc </ci>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current">
<variable units="microA_per_microF" public_interface="out" name="i_Na"/>
<variable units="millivolt" public_interface="out" name="E_Na"/>
<variable units="milliS_per_microF" name="g_Na" initial_value="12.8"/>
<variable units="millisecond" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="dimensionless" private_interface="in" name="m"/>
<variable units="dimensionless" private_interface="in" name="h"/>
<variable units="dimensionless" private_interface="in" name="j"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Na_calculation">
<eq/>
<ci> i_Na </ci>
<apply>
<times/>
<ci> g_Na </ci>
<apply>
<power/>
<ci> m </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> h </ci>
<ci> j </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Na </ci>
</apply>
</apply>
</apply>
<apply id="E_Na_calculation">
<eq/>
<ci> E_Na </ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
<ci> F </ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci> Nao </ci>
<ci> Nai </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_m_gate">
<variable units="dimensionless" public_interface="out" name="m" initial_value="0.00024676"/>
<variable units="per_millisecond" name="alpha_m"/>
<variable units="per_millisecond" name="beta_m"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_m_calculation">
<eq/>
<ci> alpha_m </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond"> 0.32 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 47.13 </cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> -0.1 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 47.13 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_m_calculation">
<eq/>
<ci> beta_m </ci>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.08 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="millivolt"> 11.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="dm_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> m </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_m </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> m </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_m </ci>
<ci> m </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_h_gate">
<variable units="dimensionless" public_interface="out" name="h" initial_value="0.99869"/>
<variable units="per_millisecond" name="alpha_h"/>
<variable units="per_millisecond" name="beta_h"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_h_calculation">
<eq/>
<ci> alpha_h </ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.135 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="millivolt"> 80.0 </cn>
<ci> V </ci>
</apply>
<cn cellml:units="millivolt"> -6.8 </cn>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci> V </ci>
<cn cellml:units="millivolt"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_millisecond"> 0.0 </cn>
</otherwise>
</piecewise>
</apply>
<apply id="beta_h_calculation">
<eq/>
<ci> beta_h </ci>
<piecewise>
<piece>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 3.56 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="millivolt"> 0.079 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 310000.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> 0.35 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci> V </ci>
<cn cellml:units="millivolt"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<times/>
<cn cellml:units="millisecond"> 0.13 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.66 </cn>
</apply>
<cn cellml:units="millivolt"> -11.1 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply id="dh_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> h </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_h </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> h </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_h </ci>
<ci> h </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_j_gate">
<variable units="dimensionless" public_interface="out" name="j" initial_value="0.99887"/>
<variable units="per_millisecond" name="alpha_j"/>
<variable units="per_millisecond" name="beta_j"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_j_calculation">
<eq/>
<ci> alpha_j </ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond"> -127140.0
</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> 0.2444 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond"> 0.00003474 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> -0.04391 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 37.78 </cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> 0.311 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 79.23 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci> V </ci>
<cn cellml:units="millivolt"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_millisecond"> 0.0 </cn>
</otherwise>
</piecewise>
</apply>
<apply id="beta_j_calculation">
<eq/>
<ci> beta_j </ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.1212 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> -0.01052 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> -0.1378 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 40.14 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci> V </ci>
<cn cellml:units="millivolt"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.3 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> -0.0000002535 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> -0.1 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 32.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply id="dj_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> j </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_j </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> j </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_j </ci>
<ci> j </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_activating_delayed_rectifiyer_K_current">
<variable units="microA_per_microF" public_interface="out" name="i_Kr"/>
<variable units="millivolt" public_interface="out" name="E_K"/>
<variable units="milliS_per_microF" name="g_Kr" initial_value="0.0034"/>
<variable units="dimensionless" name="f_Ko"/>
<variable units="dimensionless" name="R_V"/>
<variable units="millisecond" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="dimensionless" private_interface="in" name="X_kr"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="E_K_calculation">
<eq/>
<ci> E_K </ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
<ci> F </ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci> Ko </ci>
<ci> Ki </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="i_Kr_calculation">
<eq/>
<ci> i_Kr </ci>
<apply>
<times/>
<ci> g_Kr </ci>
<ci> f_Ko </ci>
<ci> R_V </ci>
<ci> X_kr </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K </ci>
</apply>
</apply>
</apply>
<apply id="f_Ko_calculation">
<eq/>
<ci> f_Ko </ci>
<apply>
<root/>
<apply>
<divide/>
<ci> Ko </ci>
<cn cellml:units="millimolar"> 4.0 </cn>
</apply>
</apply>
</apply>
<apply id="R_V_calculation">
<eq/>
<ci> R_V </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<times/>
<cn cellml:units="dimensionless"> 1.4945 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0446 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate">
<variable units="dimensionless" public_interface="out" name="X_kr" initial_value="0.6935"/>
<variable units="dimensionless" name="K12"/>
<variable units="dimensionless" name="K21"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="X_kr_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> X_kr </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> K12 </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> X_kr </ci>
</apply>
</apply>
<apply>
<times/>
<ci> K12 </ci>
<ci> X_kr </ci>
</apply>
</apply>
</apply>
<apply id="K12_calculation">
<eq/>
<ci> K12 </ci>
<apply>
<exp/>
<apply>
<plus/>
<cn cellml:units="dimensionless"> -5.495 </cn>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.169 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="K21_calculation">
<eq/>
<ci> K21 </ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless"> -7.677 </cn>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0128 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_activating_delayed_rectifiyer_K_current">
<variable units="microA_per_microF" public_interface="out" name="i_Ks"/>
<variable units="milliS_per_microF" name="g_Ks" initial_value="0.00271"/>
<variable units="millivolt" name="E_Ks"/>
<variable units="millisecond" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="dimensionless" private_interface="in" name="X_ks"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Ks_calculation">
<eq/>
<ci> i_Ks </ci>
<apply>
<times/>
<ci> g_Ks </ci>
<apply>
<power/>
<ci> X_ks </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Ks </ci>
</apply>
</apply>
</apply>
<apply id="E_Ks_calculation">
<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/>
<cn cellml:units="dimensionless"> 0.01833 </cn>
<ci> Nao </ci>
</apply>
</apply>
<apply>
<plus/>
<ci> Ki </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.01833 </cn>
<ci> Nai </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_activating_delayed_rectifiyer_K_current_X_ks_gate">
<variable units="dimensionless" public_interface="out" name="X_ks" initial_value="0.00014589"/>
<variable units="dimensionless" name="tau_X_ks"/>
<variable units="dimensionless" name="X_ks_infinity"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="X_ks_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> X_ks </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> X_ks_infinity </ci>
<ci> X_ks </ci>
</apply>
<ci> tau_X_ks </ci>
</apply>
</apply>
<apply id="X_ks_infinity_calculation">
<eq/>
<ci> X_ks_infinity </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 24.7 </cn>
</apply>
</apply>
<cn cellml:units="millivolt"> 13.6 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_X_ks_calculation">
<eq/>
<ci> tau_X_ks </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0000719 </cn>
<apply>
<minus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> -0.148 </cn>
<apply>
<minus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.000131 </cn>
<apply>
<minus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0687 </cn>
<apply>
<minus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="transient_outward_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_to1"/>
<variable units="millisecond" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="E_K"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Nai"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Nao"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Ki"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Ko"/>
<variable units="joule_per_mole_kelvin" public_interface="in" private_interface="out" name="R"/>
<variable units="kelvin" public_interface="in" private_interface="out" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" private_interface="out" name="F"/>
<variable units="picoF_per_mm2" public_interface="in" private_interface="out" name="C_sc"/>
<variable units="microA_per_microF" private_interface="in" name="i_Kv4_3"/>
<variable units="microA_per_microF" private_interface="in" name="i_Kv1_4"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_to1_calculation">
<eq/>
<ci> i_to1 </ci>
<apply>
<plus/>
<ci> i_Kv4_3 </ci>
<ci> i_Kv1_4 </ci>
</apply>
</apply>
</math>
</component>
<component name="Kv4_3_current">
<variable units="microA_per_microF" public_interface="out" name="i_Kv4_3"/>
<variable units="milliS_per_microF" name="g_Kv4_3"/>
<variable units="dimensionless" name="P_open"/>
<variable units="dimensionless" name="P_C0"/>
<variable units="dimensionless" name="P_C1"/>
<variable units="dimensionless" name="P_C2"/>
<variable units="dimensionless" name="P_C3"/>
<variable units="dimensionless" name="P_CI0"/>
<variable units="dimensionless" name="P_CI1"/>
<variable units="dimensionless" name="P_CI2"/>
<variable units="dimensionless" name="P_CI3"/>
<variable units="dimensionless" name="P_O"/>
<variable units="dimensionless" name="P_OI"/>
<variable units="per_millivolt" name="a_a" initial_value="0.02898"/>
<variable units="per_millivolt" name="b_a" initial_value="0.04684"/>
<variable units="per_millivolt" name="a_i" initial_value="3.7302E-4"/>
<variable units="per_millivolt" name="b_i" initial_value="5.374E-8"/>
<variable units="per_millisecond" name="alpha_a0" initial_value="0.5437"/>
<variable units="per_millisecond" name="beta_a0" initial_value="0.08019"/>
<variable units="per_millisecond" name="alpha_i0" initial_value="0.04984"/>
<variable units="per_millisecond" name="beta_i0" initial_value="8.1948E-4"/>
<variable units="per_millisecond" name="alpha_a"/>
<variable units="per_millisecond" name="beta_a"/>
<variable units="per_millisecond" name="alpha_i"/>
<variable units="per_millisecond" name="beta_i"/>
<variable units="dimensionless" name="f1" initial_value="1.8936"/>
<variable units="dimensionless" name="f2" initial_value="14.225"/>
<variable units="dimensionless" name="f3" initial_value="158.574"/>
<variable units="dimensionless" name="f4" initial_value="142.937"/>
<variable units="dimensionless" name="b1" initial_value="6.7735"/>
<variable units="dimensionless" name="b2" initial_value="15.621"/>
<variable units="dimensionless" name="b3" initial_value="28.753"/>
<variable units="dimensionless" name="b4" initial_value="524.576"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Kv4_3_calculation">
<eq/>
<ci> i_Kv4_3 </ci>
<apply>
<times/>
<ci> g_Kv4_3 </ci>
<ci> P_open </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_open_calculation">
<eq/>
<ci> P_open </ci>
<apply>
<plus/>
<ci> P_O </ci>
<ci> P_OI </ci>
</apply>
</apply>
<apply id="Kv4_3_current_P_C0_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C0 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> alpha_i </ci>
<ci> P_CI0 </ci>
</apply>
<apply>
<times/>
<ci> beta_a </ci>
<ci> P_C1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> beta_i </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_C0 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_C1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C1 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b1 </ci>
</apply>
<ci> P_CI1 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
<ci> P_C0 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
<ci> P_C2 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f1 </ci>
<ci> beta_i </ci>
</apply>
<ci> beta_a </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_C1 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_C2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C2 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b2 </ci>
</apply>
<ci> P_CI2 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
<ci> P_C1 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
<ci> P_C3 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f2 </ci>
<ci> beta_i </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_C2 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_C3_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C3 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b3 </ci>
</apply>
<ci> P_CI3 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
<ci> P_C2 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
<ci> P_O </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f3 </ci>
<ci> beta_i </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> alpha_a </ci>
</apply>
<ci> P_C3 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_O_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_O </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> alpha_a </ci>
<ci> P_C3 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b4 </ci>
</apply>
<ci> P_OI </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f4 </ci>
<ci> beta_i </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
</apply>
</apply>
<ci> P_O </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_CI0_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI0 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta_i </ci>
<ci> P_C0 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> beta_a </ci>
<ci> f1 </ci>
</apply>
<ci> P_C1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> alpha_i </ci>
<apply>
<times/>
<ci> b1 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_CI0 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_CI1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI1 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> f1 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f2 </ci>
</apply>
<ci> P_CI2 </ci>
</apply>
<apply>
<times/>
<ci> b1 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
<ci> P_CI0 </ci>
</apply>
<apply>
<times/>
<ci> f1 </ci>
<ci> beta_i </ci>
<ci> P_C1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci> b2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b1 </ci>
</apply>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b1 </ci>
</apply>
<apply>
<divide/>
<ci> beta_a </ci>
<ci> f1 </ci>
</apply>
</apply>
<ci> P_CI1 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_CI2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI2 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> f2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f3 </ci>
</apply>
<ci> P_CI3 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> b2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b1 </ci>
</apply>
<ci> P_CI1 </ci>
</apply>
<apply>
<times/>
<ci> f2 </ci>
<ci> beta_i </ci>
<ci> P_C2 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci> b3 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b2 </ci>
</apply>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b2 </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> f1 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f2 </ci>
</apply>
</apply>
<ci> P_CI2 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_CI3_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI3 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> f3 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f4 </ci>
</apply>
<ci> P_OI </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> b3 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b2 </ci>
</apply>
<ci> P_CI2 </ci>
</apply>
<apply>
<times/>
<ci> f3 </ci>
<ci> beta_i </ci>
<ci> P_C3 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci> b4 </ci>
<ci> alpha_a </ci>
</apply>
<ci> b3 </ci>
</apply>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b3 </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> f2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f3 </ci>
</apply>
</apply>
<ci> P_CI3 </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_P_OI_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_OI </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> b4 </ci>
<ci> alpha_a </ci>
</apply>
<ci> b3 </ci>
</apply>
<ci> P_CI3 </ci>
</apply>
<apply>
<times/>
<ci> f4 </ci>
<ci> beta_i </ci>
<ci> P_O </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b4 </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> f3 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f4 </ci>
</apply>
</apply>
<ci> P_OI </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_alpha_a_calculation">
<eq/>
<ci> alpha_a </ci>
<apply>
<times/>
<ci> alpha_a0 </ci>
<apply>
<exp/>
<ci> a_a </ci>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_beta_a_calculation">
<eq/>
<ci> beta_a </ci>
<apply>
<times/>
<ci> beta_a0 </ci>
<apply>
<exp/>
<apply>
<minus/>
<ci> b_a </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_alpha_i_calculation">
<eq/>
<ci> alpha_i </ci>
<apply>
<times/>
<ci> alpha_i0 </ci>
<apply>
<exp/>
<apply>
<minus/>
<ci> a_i </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="Kv4_3_current_beta_i_calculation">
<eq/>
<ci> beta_i </ci>
<apply>
<times/>
<ci> beta_i0 </ci>
<apply>
<exp/>
<ci> b_i </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Kv1_4_current">
<variable units="microA_per_microF" public_interface="out" name="i_Kv1_4"/>
<variable units="microA_per_microF" name="i_Kv1_4_K"/>
<variable units="microA_per_microF" name="i_Kv1_4_Na"/>
<variable units="dimensionless" name="alpha" initail_value="0.02"/>
<variable units="dimensionless" name="P_open"/>
<variable units="dimensionless" name="P_C0"/>
<variable units="dimensionless" name="P_C1"/>
<variable units="dimensionless" name="P_C2"/>
<variable units="dimensionless" name="P_C3"/>
<variable units="dimensionless" name="P_CI0"/>
<variable units="dimensionless" name="P_CI1"/>
<variable units="dimensionless" name="P_CI2"/>
<variable units="dimensionless" name="P_CI3"/>
<variable units="dimensionless" name="P_O"/>
<variable units="dimensionless" name="P_OI"/>
<variable units="per_millivolt" name="a_a" initial_value="0.006950"/>
<variable units="per_millivolt" name="b_a" initial_value="0.08527"/>
<variable units="per_millivolt" name="a_i" initial_value="0.0"/>
<variable units="per_millivolt" name="b_i" initial_value="0.0"/>
<variable units="per_millisecond" name="alpha_a0" initial_value="1.8931"/>
<variable units="per_millisecond" name="beta_a0" initial_value="0.01179"/>
<variable units="per_millisecond" name="alpha_i0" initial_value="0.002963"/>
<variable units="per_millisecond" name="beta_i0" initial_value="1.0571E-4"/>
<variable units="per_millisecond" name="alpha_a"/>
<variable units="per_millisecond" name="beta_a"/>
<variable units="per_millisecond" name="alpha_i"/>
<variable units="per_millisecond" name="beta_i"/>
<variable units="dimensionless" name="f1" initial_value="0.2001"/>
<variable units="dimensionless" name="f2" initial_value="0.3203"/>
<variable units="dimensionless" name="f3" initial_value="13.509"/>
<variable units="dimensionless" name="f4" initial_value="1151.765"/>
<variable units="dimensionless" name="b1" initial_value="2.2300"/>
<variable units="dimensionless" name="b2" initial_value="12.000"/>
<variable units="dimensionless" name="b3" initial_value="5.370"/>
<variable units="dimensionless" name="b4" initial_value="5.240"/>
<variable units="mm_per_s" name="P_Kv1_4" initial_value="1.709E-6"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="picoF_per_mm2" public_interface="in" name="C_sc"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Kv1_4_calculation">
<eq/>
<ci> i_Kv1_4 </ci>
<apply>
<plus/>
<ci> i_Kv1_4_K </ci>
<ci> i_Kv1_4_Na </ci>
</apply>
</apply>
<apply id="i_Kv1_4_K_calculation">
<eq/>
<ci> i_Kv1_4_K </ci>
<apply>
<times/>
<apply>
<divide/>
<ci> P_Kv1_4 </ci>
<ci> C_sc </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<power/>
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<ci> V </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<ci> P_open </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> Ki </ci>
<apply>
<times/>
<ci> Ko </ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="i_Kv1_4_Na_calculation">
<eq/>
<ci> i_Kv1_4_Na </ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> alpha </ci>
<ci> P_Kv1_4 </ci>
</apply>
<ci> C_sc </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<power/>
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<ci> V </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<ci> P_open </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> Ki </ci>
<apply>
<times/>
<ci> Ko </ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_open_calculation">
<eq/>
<ci> P_open </ci>
<apply>
<plus/>
<ci> P_O </ci>
<ci> P_OI </ci>
</apply>
</apply>
<apply id="Kv1_4_current_P_C0_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C0 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> alpha_i </ci>
<ci> P_CI0 </ci>
</apply>
<apply>
<times/>
<ci> beta_a </ci>
<ci> P_C1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> beta_i </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_C0 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_C1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C1 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b1 </ci>
</apply>
<ci> P_CI1 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
<ci> P_C0 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
<ci> P_C2 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f1 </ci>
<ci> beta_i </ci>
</apply>
<ci> beta_a </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_C1 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_C2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C2 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b2 </ci>
</apply>
<ci> P_CI2 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
<ci> P_C1 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
<ci> P_C3 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f2 </ci>
<ci> beta_i </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_C2 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_C3_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C3 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b3 </ci>
</apply>
<ci> P_CI3 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
<ci> P_C2 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
<ci> P_O </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f3 </ci>
<ci> beta_i </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> alpha_a </ci>
</apply>
<ci> P_C3 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_O_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_O </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> alpha_a </ci>
<ci> P_C3 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b4 </ci>
</apply>
<ci> P_OI </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> f4 </ci>
<ci> beta_i </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
</apply>
</apply>
<ci> P_O </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_CI0_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI0 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta_i </ci>
<ci> P_C0 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> beta_a </ci>
<ci> f1 </ci>
</apply>
<ci> P_C1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> alpha_i </ci>
<apply>
<times/>
<ci> b1 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
</apply>
</apply>
<ci> P_CI0 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_CI1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI1 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> f1 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f2 </ci>
</apply>
<ci> P_CI2 </ci>
</apply>
<apply>
<times/>
<ci> b1 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
<ci> P_CI0 </ci>
</apply>
<apply>
<times/>
<ci> f1 </ci>
<ci> beta_i </ci>
<ci> P_C1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci> b2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b1 </ci>
</apply>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b1 </ci>
</apply>
<apply>
<divide/>
<ci> beta_a </ci>
<ci> f1 </ci>
</apply>
</apply>
<ci> P_CI1 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_CI2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI2 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> f2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f3 </ci>
</apply>
<ci> P_CI3 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> b2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b1 </ci>
</apply>
<ci> P_CI1 </ci>
</apply>
<apply>
<times/>
<ci> f2 </ci>
<ci> beta_i </ci>
<ci> P_C2 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci> b3 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b2 </ci>
</apply>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b2 </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> f1 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f2 </ci>
</apply>
</apply>
<ci> P_CI2 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_CI3_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_CI3 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> f3 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f4 </ci>
</apply>
<ci> P_OI </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> b3 </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> b2 </ci>
</apply>
<ci> P_CI2 </ci>
</apply>
<apply>
<times/>
<ci> f3 </ci>
<ci> beta_i </ci>
<ci> P_C3 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci> b4 </ci>
<ci> alpha_a </ci>
</apply>
<ci> b3 </ci>
</apply>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b3 </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> f2 </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f3 </ci>
</apply>
</apply>
<ci> P_CI3 </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_P_OI_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_OI </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> b4 </ci>
<ci> alpha_a </ci>
</apply>
<ci> b3 </ci>
</apply>
<ci> P_CI3 </ci>
</apply>
<apply>
<times/>
<ci> f4 </ci>
<ci> beta_i </ci>
<ci> P_O </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<ci> alpha_i </ci>
<ci> b4 </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> f3 </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_a </ci>
</apply>
<ci> f4 </ci>
</apply>
</apply>
<ci> P_OI </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_alpha_a_calculation">
<eq/>
<ci> alpha_a </ci>
<apply>
<times/>
<ci> alpha_a0 </ci>
<apply>
<exp/>
<ci> a_a </ci>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_beta_a_calculation">
<eq/>
<ci> beta_a </ci>
<apply>
<times/>
<ci> beta_a0 </ci>
<apply>
<exp/>
<apply>
<minus/>
<ci> b_a </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_alpha_i_calculation">
<eq/>
<ci> alpha_i </ci>
<apply>
<times/>
<ci> alpha_i0 </ci>
<apply>
<exp/>
<apply>
<minus/>
<ci> a_i </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="Kv1_4_current_beta_i_calculation">
<eq/>
<ci> beta_i </ci>
<apply>
<times/>
<ci> beta_i0 </ci>
<apply>
<exp/>
<ci> b_i </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_K1"/>
<variable units="milliS_per_microF" name="g_K1" initial_value="2.8"/>
<variable units="millimolar" name="K_mK1" initial_value="13.0"/>
<variable units="millisecond" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" private_interface="out" name="R"/>
<variable units="kelvin" public_interface="in" private_interface="out" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" private_interface="out" name="F"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="E_K"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="dimensionless" private_interface="in" name="K1_infinity_V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_K1_calculation">
<eq/>
<ci> i_K1 </ci>
<apply>
<times/>
<ci> g_K1 </ci>
<ci> K1_infinity_V </ci>
<apply>
<divide/>
<ci> Ko </ci>
<apply>
<plus/>
<ci> Ko </ci>
<ci> K_mK1 </ci>
</apply>
</apply>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current_K1_gate">
<variable units="dimensionless" public_interface="out" name="K1_infinity_V"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_K1_calculation">
<eq/>
<ci> K1_infinity_V </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 1.5 </cn>
<apply>
<divide/>
<ci> F </ci>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="plateau_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_Kp"/>
<variable units="milliS_per_microF" name="g_Kp" initial_value="0.002216"/>
<variable units="millisecond" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="dimensionless" private_interface="in" name="Kp_V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Kp_calculation">
<eq/>
<ci> i_Kp </ci>
<apply>
<times/>
<ci> g_Kp </ci>
<ci> Kp_V </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="plateau_potassium_current_Kp_gate">
<variable units="dimensionless" public_interface="out" name="Kp_V"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Kp_V_calculation">
<eq/>
<ci> Kp_V </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </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>
</math>
</component>
<component name="Na_Ca_exchanger">
<variable units="microA_per_microF" public_interface="out" name="i_NaCa"/>
<variable units="millimolar" name="K_mCa" initial_value="1.38"/>
<variable units="millimolar" name="K_mNa" initial_value="87.5"/>
<variable units="microA_per_microF" name="K_NaCa" initial_value="0.30"/>
<variable units="dimensionless" name="K_sat" initial_value="0.2"/>
<variable units="dimensionless" name="eta" initial_value="0.35"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Na_Ca_exchanger">
<eq/>
<ci> i_NaCa </ci>
<apply>
<times/>
<ci> K_NaCa </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 5000.0 </cn>
<apply>
<plus/>
<apply>
<power/>
<ci> K_mNa </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<apply>
<power/>
<ci> Nao </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<ci> K_mCa </ci>
<ci> Cao </ci>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<times/>
<ci> K_sat </ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci> eta </ci>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
<ci> V </ci>
<apply>
<divide/>
<ci> F </ci>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<times/>
<ci> eta </ci>
<ci> V </ci>
<apply>
<divide/>
<ci> F </ci>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci> Nai </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> Cao </ci>
</apply>
<apply>
<times/>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci> eta </ci>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
<ci> V </ci>
<apply>
<divide/>
<ci> F </ci>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci> Nao </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump">
<variable units="microA_per_microF" public_interface="out" name="i_NaK"/>
<variable units="microA_per_microF" name="I_NaK" initial_value="0.693"/>
<variable units="dimensionless" name="f_NaK"/>
<variable units="millimolar" name="K_mNai" initial_value="10.0"/>
<variable units="millimolar" name="K_mKo" initial_value="1.5"/>
<variable units="dimensionless" name="sigma"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="f_NaK_calculation">
<eq/>
<ci> f_NaK </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.1245 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> -0.1 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0365 </cn>
<ci> sigma </ci>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="sigma_calculation">
<eq/>
<ci> sigma </ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 7.0 </cn>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci> Nao </ci>
<cn cellml:units="dimensionless"> 67.3 </cn>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
<apply id="i_NaK_calculation">
<eq/>
<ci> i_NaK </ci>
<apply>
<times/>
<ci> I_NaK </ci>
<ci> f_NaK </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<power/>
<apply>
<divide/>
<ci> K_mNai </ci>
<ci> Nai </ci>
</apply>
<cn cellml:units="dimensionless"> 1.5 </cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci> Ko </ci>
<apply>
<plus/>
<ci> Ko </ci>
<ci> K_mKo </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sarcolemmal_calcium_pump">
<variable units="microA_per_microF" public_interface="out" name="i_p_Ca"/>
<variable units="millimolar" name="K_mpCa" initial_value="0.00005"/>
<variable units="microA_per_microF" name="I_pCa" initial_value="0.05"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_p_Ca_calculation">
<eq/>
<ci> i_p_Ca </ci>
<apply>
<times/>
<ci> I_pCa </ci>
<apply>
<divide/>
<ci> Cai </ci>
<apply>
<plus/>
<ci> K_mpCa </ci>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_background_current">
<variable units="microA_per_microF" public_interface="out" name="i_Ca_b"/>
<variable units="milliS_per_microF" name="g_Cab" initial_value="0.0003842"/>
<variable units="millivolt" name="E_Ca"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="E_Ca_calculation">
<eq/>
<ci> E_Ca </ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> F </ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci> Cao </ci>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="i_Ca_b_calculation">
<eq/>
<ci> i_Ca_b </ci>
<apply>
<times/>
<ci> g_Cab </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Ca </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_background_current">
<variable units="microA_per_microF" public_interface="out" name="i_Na_b"/>
<variable units="milliS_per_microF" name="g_Nab" initial_value="0.0031"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Na_b_calculation">
<eq/>
<ci> i_Na_b </ci>
<apply>
<times/>
<ci> g_Nab </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Na </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_current">
<variable units="microA_per_microF" public_interface="out" name="i_Ca"/>
<variable units="microA_per_microF" public_interface="out" name="i_Ca_K"/>
<variable units="cm_per_second" name="P_Ca" initial_value="0.0003125"/>
<variable units="cm_per_second" name="P_K" initial_value="0.000000579"/>
<variable units="cm_per_second" name="p_k"/>
<variable units="microA_per_microF" name="i_Ca_half" initial_value="-0.265"/>
<variable units="microA_per_microF" name="i_Ca_max"/>
<variable units="dimensionless" name="O" initial_value="0.0"/>
<variable units="dimensionless" name="O_Ca" initial_value="0.0"/>
<variable units="per_millisecond" name="alpha"/>
<variable units="per_millisecond" name="beta"/>
<variable units="per_millisecond" name="gamma"/>
<variable units="per_millisecond" name="alpha_a"/>
<variable units="per_millisecond" name="beta_b"/>
<variable units="dimensionless" name="a" initial_value="2.0"/>
<variable units="dimensionless" name="b" initial_value="2.0"/>
<variable units="per_millisecond" name="g" initial_value="2.0"/>
<variable units="per_millisecond" name="f" initial_value="0.3"/>
<variable units="per_millisecond" name="g_" initial_value="7.0"/>
<variable units="per_millisecond" name="f_" initial_value="0.005"/>
<variable units="per_millisecond" name="omega" initial_value="0.01"/>
<variable units="dimensionless" name="C0" initial_value="0.99802"/>
<variable units="dimensionless" name="C1" initial_value="0.0000019544"/>
<variable units="dimensionless" name="C2" initial_value="0.0"/>
<variable units="dimensionless" name="C3" initial_value="0.0"/>
<variable units="dimensionless" name="C4" initial_value="0.0"/>
<variable units="dimensionless" name="C_Ca0" initial_value="0.0019734"/>
<variable units="dimensionless" name="C_Ca1" initial_value="0.0"/>
<variable units="dimensionless" name="C_Ca2" initial_value="0.0"/>
<variable units="dimensionless" name="C_Ca3" initial_value="0.0"/>
<variable units="dimensionless" name="C_Ca4" initial_value="0.0"/>
<variable units="millisecond" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="picoF_per_mm2" public_interface="in" name="C_sc"/>
<variable units="millimolar" public_interface="in" name="Ca_ss"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="dimensionless" private_interface="in" name="y"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Ca_calculation">
<eq/>
<ci> i_Ca </ci>
<apply>
<times/>
<ci> i_Ca_max </ci>
<ci> y </ci>
<apply>
<plus/>
<ci> O </ci>
<ci> O_Ca </ci>
</apply>
</apply>
</apply>
<apply id="i_Ca_K_calculation">
<eq/>
<ci> i_Ca_K </ci>
<apply>
<times/>
<apply>
<divide/>
<ci> p_k </ci>
<ci> C_sc </ci>
</apply>
<ci> y </ci>
<apply>
<plus/>
<ci> O </ci>
<ci> O_Ca </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> V </ci>
<apply>
<power/>
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci> Ki </ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<ci> Ko </ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="p_k_calculation">
<eq/>
<ci> p_k </ci>
<apply>
<divide/>
<ci> P_K </ci>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<ci> i_Ca_max </ci>
<ci> i_Ca_half </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="i_Ca_max_calculation">
<eq/>
<ci> i_Ca_max </ci>
<apply>
<times/>
<apply>
<divide/>
<ci> P_Ca </ci>
<ci> C_sc </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> V </ci>
<apply>
<power/>
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.001 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<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"> 0.341 </cn>
<ci> Cao </ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="alpha_calculation">
<eq/>
<ci> alpha </ci>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.4 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 2.0 </cn>
</apply>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_calculation">
<eq/>
<ci> beta </ci>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.05 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 2.0 </cn>
</apply>
</apply>
<cn cellml:units="millivolt"> 13.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="L_type_Ca_current_alpha_a_calculation">
<eq/>
<ci> alpha_a </ci>
<apply>
<times/>
<ci> alpha </ci>
<ci> a </ci>
</apply>
</apply>
<apply id="beta_b_calculation">
<eq/>
<ci> beta_b </ci>
<apply>
<divide/>
<ci> beta </ci>
<ci> b </ci>
</apply>
</apply>
<apply id="gamma_calculation">
<eq/>
<ci> gamma </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.10375 </cn>
<ci> Ca_ss </ci>
</apply>
</apply>
<apply id="C0_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C0 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta </ci>
<ci> C1 </ci>
</apply>
<apply>
<times/>
<ci> omega </ci>
<ci> C_Ca0 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha </ci>
</apply>
<ci> gamma </ci>
</apply>
<ci> C0 </ci>
</apply>
</apply>
</apply>
<apply id="C1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C1 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha </ci>
<ci> C0 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta </ci>
<ci> C2 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> omega </ci>
<ci> b </ci>
</apply>
<ci> C_Ca1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> beta </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha </ci>
</apply>
<apply>
<times/>
<ci> gamma </ci>
<ci> a </ci>
</apply>
</apply>
<ci> C1 </ci>
</apply>
</apply>
</apply>
<apply id="C2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C2 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha </ci>
<ci> C1 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta </ci>
<ci> C3 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<ci> C_Ca2 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha </ci>
</apply>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<ci> C2 </ci>
</apply>
</apply>
</apply>
<apply id="C3_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C3 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha </ci>
<ci> C2 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta </ci>
<ci> C4 </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
<ci> C_Ca3 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> alpha </ci>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
<ci> C3 </ci>
</apply>
</apply>
</apply>
<apply id="C4_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C4 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> alpha </ci>
<ci> C3 </ci>
</apply>
<apply>
<times/>
<ci> g </ci>
<ci> O </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
<ci> C_Ca4 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<ci> f </ci>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
<ci> C4 </ci>
</apply>
</apply>
</apply>
<apply id="O_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> O </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> f </ci>
<ci> C4 </ci>
</apply>
<apply>
<times/>
<ci> g </ci>
<ci> O </ci>
</apply>
</apply>
</apply>
<apply id="C_Ca0_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C_Ca0 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta_b </ci>
<ci> C_Ca1 </ci>
</apply>
<apply>
<times/>
<ci> gamma </ci>
<ci> C_Ca0 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
</apply>
<ci> omega </ci>
</apply>
<ci> C_Ca0 </ci>
</apply>
</apply>
</apply>
<apply id="C_Ca1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C_Ca1 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_a </ci>
<ci> C_Ca0 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_b </ci>
<ci> C_Ca2 </ci>
</apply>
<apply>
<times/>
<ci> gamma </ci>
<ci> a </ci>
<ci> C1 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> beta_b </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
</apply>
<apply>
<divide/>
<ci> omega </ci>
<ci> b </ci>
</apply>
</apply>
<ci> C_Ca1 </ci>
</apply>
</apply>
</apply>
<apply id="C_Ca2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C_Ca2 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_a </ci>
<ci> C_Ca1 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_b </ci>
<ci> C_Ca3 </ci>
</apply>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<ci> C2 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta_b </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
</apply>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<ci> C_Ca2 </ci>
</apply>
</apply>
</apply>
<apply id="C_Ca3_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C_Ca3 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_a </ci>
<ci> C_Ca2 </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_b </ci>
<ci> C_Ca4 </ci>
</apply>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> C3 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta_b </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> alpha_a </ci>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
<ci> C_Ca3 </ci>
</apply>
</apply>
</apply>
<apply id="C_Ca4_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> C_Ca4 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> alpha_a </ci>
<ci> C_Ca3 </ci>
</apply>
<apply>
<times/>
<ci> g_ </ci>
<ci> O_Ca </ci>
</apply>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<ci> C4 </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> beta_b </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<ci> f_ </ci>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
<ci> C_Ca4 </ci>
</apply>
</apply>
</apply>
<apply id="O_Ca_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> O_Ca </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> f_ </ci>
<ci> C_Ca4 </ci>
</apply>
<apply>
<times/>
<ci> g_ </ci>
<ci> O_Ca </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_current_y_gate">
<variable units="dimensionless" public_interface="out" name="y" initial_value="0.7959"/>
<variable units="dimensionless" name="y_infinity"/>
<variable units="dimensionless" name="tau_y"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="y_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> y </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> y_infinity </ci>
<ci> y </ci>
</apply>
<ci> tau_y </ci>
</apply>
</apply>
<apply id="y_infinity_calculation">
<eq/>
<ci> y_infinity </ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 0.8 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 12.5 </cn>
</apply>
<cn cellml:units="millivolt"> 5.0 </cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 0.2 </cn>
</apply>
</apply>
<apply id="tau_y_calculation">
<eq/>
<ci> tau_y </ci>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 20.0 </cn>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 600.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 20.0 </cn>
</apply>
<cn cellml:units="millivolt"> 9.5 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="RyR_channel">
<variable units="millimolar_per_millisecond" public_interface="out" name="J_rel"/>
<variable units="per_millisecond" name="v1" initial_value="1.8"/>
<variable units="millimolar4_per_millisecond" name="k_a_plus" initial_value="12150000000.0"/>
<variable units="per_millisecond" name="k_a_minus" initial_value="0.576"/>
<variable units="millimolar3_per_millisecond" name="k_b_plus" initial_value="4050000.0"/>
<variable units="per_millisecond" name="k_b_minus" initial_value="1.930"/>
<variable units="per_millisecond" name="k_c_plus" initial_value="0.100"/>
<variable units="per_millisecond" name="k_c_minus" initial_value="0.0008"/>
<variable units="dimensionless" name="P_O1" initial_value="0.0006027"/>
<variable units="dimensionless" name="P_O2" initial_value="0.000000002882"/>
<variable units="dimensionless" name="P_C1" initial_value="0.4929"/>
<variable units="dimensionless" name="P_C2" initial_value="0.5056"/>
<variable units="dimensionless" name="n" initial_value="4.0"/>
<variable units="dimensionless" name="m" initial_value="3.0"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millimolar" public_interface="in" name="Ca_ss"/>
<variable units="millimolar" public_interface="in" name="Ca_JSR"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="RyR_channel_P_C1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C1 </ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci> k_a_plus </ci>
</apply>
<apply>
<power/>
<ci> Ca_ss </ci>
<ci> n </ci>
</apply>
<ci> P_C1 </ci>
</apply>
<apply>
<times/>
<ci> k_a_minus </ci>
<ci> P_O1 </ci>
</apply>
</apply>
</apply>
<apply id="P_O1_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_O1 </ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci> k_a_plus </ci>
<apply>
<power/>
<ci> Ca_ss </ci>
<ci> n </ci>
</apply>
<ci> P_C1 </ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci> k_a_minus </ci>
<ci> P_O1 </ci>
</apply>
<apply>
<times/>
<ci> k_b_plus </ci>
<apply>
<power/>
<ci> Ca_ss </ci>
<ci> m </ci>
</apply>
<ci> P_O1 </ci>
</apply>
<apply>
<times/>
<ci> k_c_plus </ci>
<ci> P_O1 </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci> k_b_minus </ci>
<ci> P_O2 </ci>
</apply>
<apply>
<times/>
<ci> k_c_minus </ci>
<ci> P_C2 </ci>
</apply>
</apply>
</apply>
<apply id="P_O2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_O2 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k_b_plus </ci>
<apply>
<power/>
<ci> Ca_ss </ci>
<ci> m </ci>
</apply>
<ci> P_O1 </ci>
</apply>
<apply>
<times/>
<ci> k_b_minus </ci>
<ci> P_O2 </ci>
</apply>
</apply>
</apply>
<apply id="P_C2_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> P_C2 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k_c_plus </ci>
<ci> P_O1 </ci>
</apply>
<apply>
<times/>
<ci> k_c_minus </ci>
<ci> P_C2 </ci>
</apply>
</apply>
</apply>
<apply id="J_rel_calculation">
<eq/>
<ci> J_rel </ci>
<apply>
<times/>
<ci> v1 </ci>
<apply>
<plus/>
<ci> P_O1 </ci>
<ci> P_O2 </ci>
</apply>
<apply>
<minus/>
<ci> Ca_JSR </ci>
<ci> Ca_ss </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="SERCA2a_pump">
<variable units="millimolar_per_millisecond" public_interface="out" name="J_up"/>
<variable units="millimolar" name="K_fb" initial_value="0.000168"/>
<variable units="millimolar" name="K_rb" initial_value="3.29"/>
<variable units="dimensionless" name="fb"/>
<variable units="dimensionless" name="rb"/>
<variable units="millimolar_per_millisecond" name="Vmaxf" initial_value="0.0000813"/>
<variable units="millimolar_per_millisecond" name="Vmaxr" initial_value="0.000318"/>
<variable units="dimensionless" name="K_SR" initial_value="1.0"/>
<variable units="dimensionless" name="N_fb" initial_value="1.2"/>
<variable units="dimensionless" name="N_rb" initial_value="1.0"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="millimolar" public_interface="in" name="Ca_NSR"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_up_calculation">
<eq/>
<ci> J_up </ci>
<apply>
<times/>
<ci> K_SR </ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci> Vmaxf </ci>
<ci> fb </ci>
</apply>
<apply>
<times/>
<ci> Vmaxr </ci>
<ci> rb </ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> fb </ci>
<ci> rb </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="fb_calculation">
<eq/>
<ci> fb </ci>
<apply>
<power/>
<apply>
<divide/>
<ci> Cai </ci>
<ci> K_fb </ci>
</apply>
<ci> N_fb </ci>
</apply>
</apply>
<apply id="rb_calculation">
<eq/>
<ci> rb </ci>
<apply>
<power/>
<apply>
<divide/>
<ci> Ca_NSR </ci>
<ci> K_rb </ci>
</apply>
<ci> N_rb </ci>
</apply>
</apply>
</math>
</component>
<component name="intracellular_Ca_fluxes">
<variable units="millimolar_per_millisecond" public_interface="out" name="J_tr"/>
<variable units="millimolar_per_millisecond" public_interface="out" name="J_xfer"/>
<variable units="millimolar_per_millisecond" public_interface="out" name="J_trpn"/>
<variable units="millisecond" name="tau_tr" initial_value="0.5747"/>
<variable units="millisecond" name="tau_xfer" initial_value="26.7"/>
<variable units="millimolar" name="HTRPNCa" initial_value="0.13664"/>
<variable units="millimolar" name="LTRPNCa" initial_value="0.0055443"/>
<variable units="millimolar_per_millisecond" name="J_HTRPNCa"/>
<variable units="millimolar_per_millisecond" name="J_LTRPNCa"/>
<variable units="millimolar" name="HTRPN_tot" initial_value="0.140"/>
<variable units="millimolar" name="LTRPN_tot" initial_value="0.070"/>
<variable units="millimolar_per_millisecond" name="k_htrpn_plus" initial_value="20.0"/>
<variable units="per_millisecond" name="k_htrpn_minus" initial_value="0.0000066"/>
<variable units="millimolar_per_millisecond" name="k_ltrpn_plus" initial_value="40.0"/>
<variable units="per_millisecond" name="k_ltrpn_minus" initial_value="0.040"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millimolar" public_interface="in" name="Ca_ss"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="millimolar" public_interface="in" name="Ca_NSR"/>
<variable units="millimolar" public_interface="in" name="Ca_JSR"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_tr_calculation">
<eq/>
<ci> J_tr </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> Ca_NSR </ci>
<ci> Ca_JSR </ci>
</apply>
<ci> tau_tr </ci>
</apply>
</apply>
<apply id="J_xfer_calculation">
<eq/>
<ci> J_xfer </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> Ca_ss </ci>
<ci> Cai </ci>
</apply>
<ci> tau_xfer </ci>
</apply>
</apply>
<apply id="J_trpn_calculation">
<eq/>
<ci> J_trpn </ci>
<apply>
<plus/>
<ci> J_HTRPNCa </ci>
<ci> J_LTRPNCa </ci>
</apply>
</apply>
<apply id="J_HTRPNCa_calculation">
<eq/>
<ci> J_HTRPNCa </ci>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> HTRPNCa </ci>
</apply>
</apply>
<apply id="HTRPNCa_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> HTRPNCa </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k_htrpn_plus </ci>
<ci> Cai </ci>
<apply>
<minus/>
<ci> HTRPN_tot </ci>
<ci> HTRPNCa </ci>
</apply>
</apply>
<apply>
<times/>
<ci> k_htrpn_minus </ci>
<ci> HTRPNCa </ci>
</apply>
</apply>
</apply>
<apply id="J_LTRPNCa_calculation">
<eq/>
<ci> J_LTRPNCa </ci>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> LTRPNCa </ci>
</apply>
</apply>
<apply id="LTRPNCa_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> LTRPNCa </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k_ltrpn_plus </ci>
<ci> Cai </ci>
<apply>
<minus/>
<ci> LTRPN_tot </ci>
<ci> LTRPNCa </ci>
</apply>
</apply>
<apply>
<times/>
<ci> k_ltrpn_minus </ci>
<ci> LTRPNCa </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="intracellular_ion_concentrations">
<variable units="millimolar" public_interface="out" name="Nai" initial_value="10.0"/>
<variable units="millimolar" public_interface="out" name="Cai" initial_value="0.00008464"/>
<variable units="millimolar" public_interface="out" name="Ki" initial_value="159.48"/>
<variable units="millimolar" public_interface="out" name="Ca_ss" initial_value="0.0001315"/>
<variable units="millimolar" public_interface="out" name="Ca_JSR" initial_value="0.2616"/>
<variable units="millimolar" public_interface="out" name="Ca_NSR" initial_value="0.2620"/>
<variable units="cm2" name="A_cap" initial_value="0.0001534"/>
<variable units="micro_litre" name="V_myo" initial_value="0.00002584"/>
<variable units="micro_litre" name="V_JSR" initial_value="0.00000016"/>
<variable units="micro_litre" name="V_NSR" initial_value="0.0000021"/>
<variable units="micro_litre" name="V_SS" initial_value="0.0000000012"/>
<variable units="millimolar" name="K_mCMDN" initial_value="0.00238"/>
<variable units="millimolar" name="K_mCSQN" initial_value="0.8"/>
<variable units="millimolar" name="CMDN_tot" initial_value="0.05"/>
<variable units="millimolar" name="CSQN_tot" initial_value="15.0"/>
<variable units="millimolar" name="beta_i"/>
<variable units="millimolar" name="beta_SS"/>
<variable units="millimolar" name="beta_JSR"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="picoF_per_mm2" public_interface="in" name="C_sc"/>
<variable units="microA_per_microF" public_interface="in" name="i_Na"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca"/>
<variable units="microA_per_microF" public_interface="in" name="i_Na_b"/>
<variable units="microA_per_microF" public_interface="in" name="i_NaCa"/>
<variable units="microA_per_microF" public_interface="in" name="i_NaK"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca_K"/>
<variable units="microA_per_microF" public_interface="in" name="i_Kr"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ks"/>
<variable units="microA_per_microF" public_interface="in" name="i_K1"/>
<variable units="microA_per_microF" public_interface="in" name="i_Kp"/>
<variable units="microA_per_microF" public_interface="in" name="i_to1"/>
<variable units="microA_per_microF" public_interface="in" name="i_p_Ca"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca_b"/>
<variable units="millimolar_per_millisecond" public_interface="in" name="J_up"/>
<variable units="millimolar_per_millisecond" public_interface="in" name="J_rel"/>
<variable units="millimolar_per_millisecond" public_interface="in" name="J_xfer"/>
<variable units="millimolar_per_millisecond" public_interface="in" name="J_trpn"/>
<variable units="millimolar_per_millisecond" public_interface="in" name="J_tr"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Cai_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Cai </ci>
</apply>
<apply>
<times/>
<ci> beta_i </ci>
<apply>
<minus/>
<ci> J_xfer </ci>
<apply>
<plus/>
<ci> J_up </ci>
<ci> J_trpn </ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<minus/>
<ci> i_Ca_b </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> i_NaCa </ci>
</apply>
</apply>
<ci> i_p_Ca </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> A_cap </ci>
<ci> C_sc </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="Nai_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Nai </ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci> i_Na </ci>
<ci> i_Na_b </ci>
<apply>
<times/>
<ci> i_NaCa </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<apply>
<times/>
<ci> i_NaK </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> A_cap </ci>
<ci> C_sc </ci>
</apply>
<apply>
<times/>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="Ki_internal_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ki </ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci> i_Ca_K </ci>
<ci> i_Kr </ci>
<ci> i_Ks </ci>
<ci> i_K1 </ci>
<ci> i_Kp </ci>
<ci> i_to1 </ci>
<apply>
<times/>
<ci> i_NaK </ci>
<cn cellml:units="dimensionless"> -2.0 </cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> A_cap </ci>
<ci> C_sc </ci>
</apply>
<apply>
<times/>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="intracellular_ion_concentrations_beta_i_calculation">
<eq/>
<ci> beta_i </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> CMDN_tot </ci>
<ci> K_mCMDN </ci>
</apply>
<apply>
<plus/>
<ci> K_mCMDN </ci>
<apply>
<power/>
<ci> Cai </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_SS_calculation">
<eq/>
<ci> beta_SS </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> CMDN_tot </ci>
<ci> K_mCMDN </ci>
</apply>
<apply>
<plus/>
<ci> K_mCMDN </ci>
<apply>
<power/>
<ci> Ca_ss </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_JSR_calculation">
<eq/>
<ci> beta_JSR </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> CSQN_tot </ci>
<ci> K_mCSQN </ci>
</apply>
<apply>
<plus/>
<ci> K_mCSQN </ci>
<apply>
<power/>
<ci> Ca_JSR </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="Ca_ss_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_ss </ci>
</apply>
<apply>
<times/>
<ci> beta_SS </ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<ci> J_rel </ci>
<apply>
<divide/>
<ci> V_JSR </ci>
<ci> V_SS </ci>
</apply>
</apply>
<apply>
<times/>
<ci> J_xfer </ci>
<apply>
<divide/>
<ci> V_myo </ci>
<ci> V_SS </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci> i_Ca </ci>
<apply>
<divide/>
<apply>
<times/>
<ci> A_cap </ci>
<ci> C_sc </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V_SS </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="Ca_JSR_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_JSR </ci>
</apply>
<apply>
<times/>
<ci> beta_JSR </ci>
<apply>
<minus/>
<ci> J_tr </ci>
<ci> J_rel </ci>
</apply>
</apply>
</apply>
<apply id="Ca_NSR_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_NSR </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> J_up </ci>
<apply>
<divide/>
<ci> V_myo </ci>
<ci> V_NSR </ci>
</apply>
</apply>
<apply>
<times/>
<ci> J_tr </ci>
<apply>
<divide/>
<ci> V_JSR </ci>
<ci> V_NSR </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="standard_ionic_concentrations">
<variable units="millimolar" public_interface="out" name="Nao" initial_value="138.0"/>
<variable units="millimolar" public_interface="out" name="Cao" initial_value="2.0"/>
<variable units="millimolar" public_interface="out" name="Ko" initial_value="4.0"/>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
<component_ref component="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="rapid_activating_delayed_rectifiyer_K_current">
<component_ref component="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate"/>
</component_ref>
<component_ref component="slow_activating_delayed_rectifiyer_K_current">
<component_ref component="slow_activating_delayed_rectifiyer_K_current_X_ks_gate"/>
</component_ref>
<component_ref component="transient_outward_potassium_current">
<component_ref component="Kv4_3_current"/>
<component_ref component="Kv1_4_current"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
<component_ref component="plateau_potassium_current">
<component_ref component="plateau_potassium_current_Kp_gate"/>
</component_ref>
<component_ref component="Na_Ca_exchanger"/>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="sarcolemmal_calcium_pump"/>
<component_ref component="calcium_background_current"/>
<component_ref component="sodium_background_current"/>
<component_ref component="L_type_Ca_current">
<component_ref component="L_type_Ca_current_y_gate"/>
</component_ref>
<component_ref component="RyR_channel"/>
<component_ref component="SERCA2a_pump"/>
<component_ref component="intracellular_Ca_fluxes"/>
<component_ref component="intracellular_ion_concentrations"/>
<component_ref component="standard_ionic_concentrations"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
<component_ref component="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="rapid_activating_delayed_rectifiyer_K_current">
<component_ref component="rapid_activating_delayed_rectifiyer_K_current_X_kr_gate"/>
</component_ref>
<component_ref component="slow_activating_delayed_rectifiyer_K_current">
<component_ref component="slow_activating_delayed_rectifiyer_K_current_X_ks_gate"/>
</component_ref>
<component_ref component="transient_outward_potassium_current">
<component_ref component="Kv4_3_current"/>
<component_ref component="Kv1_4_current"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
<component_ref component="plateau_potassium_current">
<component_ref component="plateau_potassium_current_Kp_gate"/>
</component_ref>
<component_ref component="L_type_Ca_current">
<component_ref component="L_type_Ca_current_y_gate"/>
</component_ref>
</group>
<!--
"Time" is passed from the "environment" component into the
"membrane" and current components.
-->
<connection>
<map_components component_2="environment" component_1="membrane"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="fast_sodium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="rapid_activating_delayed_rectifiyer_K_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="slow_activating_delayed_rectifiyer_K_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="transient_outward_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="time_independent_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="plateau_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_potassium_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sarcolemmal_calcium_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_background_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_background_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="L_type_Ca_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="RyR_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="SERCA2a_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_Ca_fluxes"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_ion_concentrations"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<!--
Several variables are passed between the "membrane" and its sub-components.
-->
<connection>
<map_components component_2="fast_sodium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
</connection>
<connection>
<map_components component_2="rapid_activating_delayed_rectifiyer_K_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Kr" variable_1="i_Kr"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="slow_activating_delayed_rectifiyer_K_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ks" variable_1="i_Ks"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="transient_outward_potassium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_to1" variable_1="i_to1"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="C_sc" variable_1="C_sc"/>
</connection>
<connection>
<map_components component_2="time_independent_potassium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="plateau_potassium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Kp" variable_1="i_Kp"/>
</connection>
<connection>
<map_components component_2="Na_Ca_exchanger" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="sodium_potassium_pump" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="sarcolemmal_calcium_pump" component_1="membrane"/>
<map_variables variable_2="i_p_Ca" variable_1="i_p_Ca"/>
</connection>
<connection>
<map_components component_2="calcium_background_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ca_b" variable_1="i_Ca_b"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="sodium_background_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Na_b" variable_1="i_Na_b"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ca" variable_1="i_Ca"/>
<map_variables variable_2="i_Ca_K" variable_1="i_Ca_K"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="C_sc" variable_1="C_sc"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="C_sc" variable_1="C_sc"/>
</connection>
<!-- Several variables are passed between the sibling components. -->
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="fast_sodium_current"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
</connection>
<connection>
<map_components component_2="sodium_background_current" component_1="fast_sodium_current"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
</connection>
<connection>
<map_components component_2="standard_ionic_concentrations" component_1="fast_sodium_current"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="rapid_activating_delayed_rectifiyer_K_current" component_1="intracellular_ion_concentrations"/>
<map_variables variable_2="i_Kr" variable_1="i_Kr"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
</connection>
<connection>
<map_components component_2="rapid_activating_delayed_rectifiyer_K_current" component_1="standard_ionic_concentrations"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
</connection>
<connection>
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<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
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<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="rapid_activating_delayed_rectifiyer_K_current" component_1="plateau_potassium_current"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
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<connection>
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<map_variables variable_2="i_Ks" variable_1="i_Ks"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
</connection>
<connection>
<map_components component_2="slow_activating_delayed_rectifiyer_K_current" component_1="standard_ionic_concentrations"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
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<map_variables variable_2="i_to1" variable_1="i_to1"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
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<map_variables variable_2="i_K1" variable_1="i_K1"/>
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<connection>
<map_components component_2="standard_ionic_concentrations" component_1="time_independent_potassium_current"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="plateau_potassium_current"/>
<map_variables variable_2="i_Kp" variable_1="i_Kp"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
</connection>
<connection>
<map_components component_2="standard_ionic_concentrations" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="sodium_potassium_pump"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
</connection>
<connection>
<map_components component_2="standard_ionic_concentrations" component_1="sodium_potassium_pump"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="sarcolemmal_calcium_pump"/>
<map_variables variable_2="i_p_Ca" variable_1="i_p_Ca"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="calcium_background_current"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
<map_variables variable_2="i_Ca_b" variable_1="i_Ca_b"/>
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<connection>
<map_components component_2="standard_ionic_concentrations" component_1="calcium_background_current"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="sodium_background_current"/>
<map_variables variable_2="i_Na_b" variable_1="i_Na_b"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="L_type_Ca_current"/>
<map_variables variable_2="i_Ca_K" variable_1="i_Ca_K"/>
<map_variables variable_2="i_Ca" variable_1="i_Ca"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
<map_variables variable_2="Ca_ss" variable_1="Ca_ss"/>
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<connection>
<map_components component_2="standard_ionic_concentrations" component_1="L_type_Ca_current"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
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<connection>
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<map_variables variable_2="J_rel" variable_1="J_rel"/>
<map_variables variable_2="Ca_ss" variable_1="Ca_ss"/>
<map_variables variable_2="Ca_JSR" variable_1="Ca_JSR"/>
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<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="SERCA2a_pump"/>
<map_variables variable_2="J_up" variable_1="J_up"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
<map_variables variable_2="Ca_NSR" variable_1="Ca_NSR"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="intracellular_Ca_fluxes"/>
<map_variables variable_2="J_tr" variable_1="J_tr"/>
<map_variables variable_2="J_xfer" variable_1="J_xfer"/>
<map_variables variable_2="J_trpn" variable_1="J_trpn"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
<map_variables variable_2="Ca_NSR" variable_1="Ca_NSR"/>
<map_variables variable_2="Ca_ss" variable_1="Ca_ss"/>
<map_variables variable_2="Ca_JSR" variable_1="Ca_JSR"/>
</connection>
<!--
Various variables are passed between parent components and their
encapsulated gates.
-->
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<map_variables variable_2="m" variable_1="m"/>
<map_variables variable_2="time" variable_1="time"/>
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<connection>
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<map_variables variable_2="h" variable_1="h"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
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<connection>
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<map_variables variable_2="j" variable_1="j"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
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<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
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<connection>
<map_components component_2="slow_activating_delayed_rectifiyer_K_current_X_ks_gate" component_1="slow_activating_delayed_rectifiyer_K_current"/>
<map_variables variable_2="X_ks" variable_1="X_ks"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="Kv4_3_current" component_1="transient_outward_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
<map_variables variable_2="i_Kv4_3" variable_1="i_Kv4_3"/>
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<connection>
<map_components component_2="Kv1_4_current" component_1="transient_outward_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
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<map_variables variable_2="Ko" variable_1="Ko"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
<map_variables variable_2="i_Kv1_4" variable_1="i_Kv1_4"/>
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<connection>
<map_components component_2="time_independent_potassium_current_K1_gate" component_1="time_independent_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
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<map_variables variable_2="K1_infinity_V" variable_1="K1_infinity_V"/>
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<connection>
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<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
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<connection>
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<map_variables variable_2="y" variable_1="y"/>
<map_variables variable_2="time" variable_1="time"/>
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Role of the Calcium-Independent Transient Outward Current Ito1 in
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Greenstein et al's 2000 mathematical model of the role of the transient
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The University of Auckland, Bioengineering Institute
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