- Author:
- rcai987 <devnull@localhost>
- Date:
- 2015-02-02 13:27:50+13:00
- Desc:
- Added annotations to puglisi_bers_2001.cellml model
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/puglisi_bers_2001/rawfile/4dd9d11089352d0a58abedcb7890c5bccb95c182/puglisi_bers_2001.cellml
<?xml version="1.0"?>
<!-- FILE : puglisi_bers_model_2001.xml
CREATED : 31st January 2002
LAST MODIFIED : 5th June 2003
AUTHOR : Catherine Lloyd
Department of Engineering Science
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 rabbit ventricular myocyte ion channels based on the Puglisi and Bers model, 2001. This model
is a development of the LR-II model.
CHANGES:
25/02/2002 - CML - Corrected several equations.
27/02/2002 - CML - Corrected initial values and units.
17/06/2002 - AAC - Changed equation 'i_leak_calcualtion' to
'i_leak_calculation'.
18/07/2002 - CML - Added more metadata.
09/04/2003 - AAC - Added publication date information.
05/06/2003 - CML - Corrected alpha_j_calculation equation in
fast_sodium_current_j_gate component and removed
I_S_calculation from L_type_Ca_channel component.
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="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:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xml:base="file:///H:/puglisi_bers_2001/puglisi_bers_2001.cellml" cmeta:id="puglisi_bers_2001_version01" name="puglisi_bers_2001_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>An Interactive Computer Model Of Rabbit Ventricular Myocyte Ion Channels and Ca Transport, 2001</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>
In 2001 Jose Puglisi and Donald Bers published an interactive computer model of rabbit ventricular myocyte ion channels and Ca transport (see the figure below). An interactive computer program, LabHEART, was developed to simulate the action potential, ionic currents and Ca handling mechanisms in a rabbit ventricular myocyte. <ulink url="http://www.meddean.luc.edu/templates/ssom/depts/physio/labheart.cfm/">Please click here to download the latest version of LabHeart.</ulink>
</para>
<para>
Since Hodgkin and Huxley published their mathematical model of the squid axon in 1952 several groups have extended this modelling to cardiac ionic currents and action potentials. Ca also plays an essential role in cardiac excitation-contraction coupling, and the dynamic interplay between the action potential and Ca regulation mechanisms has come to be included in cardiac cell models.
</para>
<para>
Of the many electrophysiological models, Luo and Rudy's dynamic model (1994) has perhaps become the standard, updated with modifications based on experimental data generated by other research groups (for example Zeng, Laurita, Rosenbaum and Rudy (1995), Shaw and Rudy (1997), Viswanathan, Shaw and Rudy (1999) and Faber and Rudy (2000)). Jose Puglisi and Donald Bers adapted the equations from Luo and Rudy to rabbit ventricular myocytes using values obtained from the literature and from their own laboratory. The main differences between this model and Luo-Rudy II is the inclusion of a transient outward K current (i_to) and Ca-activated Cl current (i_Cl_Ca), as well as altering the kinetics of the T-type Ca channel (i_Ca_T), the rapid component of the delayed rectifier K current (i_Kr) and the rescaling of several conductances to match results in the rabbit ventricle.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
LabHEART: an interactive computer model of rabbit ventricular myocyte ion channels and Ca transport, Jose L. Puglisi and Donald M. Bers, 2001,<emphasis>American Journal of Physiology</emphasis>, 281, C2049-C2060. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=11698264&dopt=Abstract">PubMed ID: 11698264</ulink>
</para>
<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>cell diagram of the Puglisi-Bers ventricular myocyte model showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
</objectinfo>
<imagedata fileref="puglisi_bers_2001.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Puglisi-Bers rabbit ventricular myocyte model.</caption>
</informalfigure>
<informalfigure float="0" id="fig_cellml_rendering">
<mediaobject>
<imageobject>
<objectinfo>
<title>the cellml rendering of the Puglisi-Bers model</title>
</objectinfo>
<imagedata fileref="cellml_rendering.gif"/>
</imageobject>
</mediaobject>
<caption>The network defined in the CellML description of the Puglisi-Bers model. A key describing the significance of the shapes of the components and the colours of the connections between them is in the <ulink url="${HTML_EXMPL_GRAPHICAL_NOTATION}">notation guide</ulink>. For simplicity, not all the variables are shown.</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 prefix="milli" units="second"/>
</units>
<units name="per_millisecond">
<unit exponent="-1" prefix="milli" units="second"/>
</units>
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="per_millivolt">
<unit exponent="-1" prefix="milli" units="volt"/>
</units>
<units name="per_millivolt_millisecond">
<unit exponent="-1" units="millivolt"/>
<unit exponent="-1" units="millisecond"/>
</units>
<units name="milliS_per_microF">
<unit prefix="milli" units="siemens"/>
<unit exponent="-1" prefix="micro" units="farad"/>
</units>
<units name="microF">
<unit prefix="micro" units="farad"/>
</units>
<units name="microA_per_microF">
<unit prefix="micro" units="ampere"/>
<unit exponent="-1" prefix="micro" units="farad"/>
</units>
<units name="millimolar_per_millisecond">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="litre"/>
<unit exponent="-1" units="millisecond"/>
</units>
<units name="millimolar">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="micromolar">
<unit prefix="micro" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="millijoule_per_mole_kelvin">
<unit prefix="milli" units="joule"/>
<unit exponent="-1" units="mole"/>
<unit exponent="-1" units="kelvin"/>
</units>
<units name="coulomb_per_mole">
<unit units="coulomb"/>
<unit exponent="-1" units="mole"/>
</units>
<units name="cm_per_second">
<unit prefix="centi" units="metre"/>
<unit exponent="-1" units="second"/>
</units>
<units name="mm2">
<unit exponent="2" prefix="milli" units="metre"/>
</units>
<units name="micro_litre">
<unit prefix="micro" units="litre"/>
</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 name="time" public_interface="out" units="millisecond"/>
</component>
<!--
The "membrane" component is really the `root' node of our model.
It defines the action potential variable "V" among other things.
-->
<component cmeta:id="id_00001" name="membrane">
<variable initial_value="-84.09" name="V" public_interface="out" units="millivolt"/>
<variable initial_value="8314.0" name="R" public_interface="out" units="millijoule_per_mole_kelvin"/>
<variable initial_value="310.0" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="96845.0" name="F" public_interface="out" units="coulomb_per_mole"/>
<variable initial_value="1.0" name="C" units="microF"/>
<variable initial_value="-100.0" name="I_stim" units="microA_per_microF"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable cmeta:id="id_00002" name="i_Na" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00023" name="i_Ca_L" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00024" name="i_Ca_T" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00054" name="i_Kr" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00055" name="i_Ks" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00072" name="i_NaCa" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00076" name="i_K1" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00086" name="i_Kp" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00025" name="i_p_Ca" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00087" name="i_Na_b" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00026" name="i_Ca_b" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00088" name="i_NaK" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00089" name="i_to" public_interface="in" units="microA_per_microF"/>
<variable cmeta:id="id_00102" name="i_Cl_Ca" public_interface="in" units="microA_per_microF"/>
<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/>
<ci> I_stim </ci>
<apply>
<plus/>
<ci> i_Na </ci>
<ci> i_Ca_L </ci>
<ci> i_Ca_T </ci>
<ci> i_Kr </ci>
<ci> i_Ks </ci>
<ci> i_NaCa </ci>
<ci> i_K1 </ci>
<ci> i_Kp </ci>
<ci> i_p_Ca </ci>
<ci> i_Na_b </ci>
<ci> i_Ca_b </ci>
<ci> i_NaK </ci>
<ci> i_to </ci>
<ci> i_Cl_Ca </ci>
</apply>
</apply>
<ci> C </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00003" name="fast_sodium_current">
<variable cmeta:id="id_00004" name="i_Na" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00005" initial_value="70.54" name="E_Na" public_interface="out" units="millivolt"/>
<variable cmeta:id="id_00006" initial_value="8.0" name="g_Na" units="milliS_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="m" private_interface="in" units="dimensionless"/>
<variable name="h" private_interface="in" units="dimensionless"/>
<variable name="j" private_interface="in" units="dimensionless"/>
<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>
</math>
</component>
<component cmeta:id="id_00007" name="fast_sodium_current_m_gate">
<variable cmeta:id="id_00008" name="m" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00009" name="alpha_m" units="per_millisecond"/>
<variable cmeta:id="id_00010" name="beta_m" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply 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 cmeta:id="id_00011" name="fast_sodium_current_h_gate">
<variable cmeta:id="id_00012" name="h" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00013" name="alpha_h" units="per_millisecond"/>
<variable cmeta:id="id_00014" name="beta_h" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply 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>
<minus/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.66 </cn>
</apply>
</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 cmeta:id="id_00015" name="fast_sodium_current_j_gate">
<variable cmeta:id="id_00016" name="j" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00017" name="alpha_j" units="per_millisecond"/>
<variable cmeta:id="id_00018" name="beta_j" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply 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 cmeta:id="id_00027" name="L_type_Ca_channel">
<variable cmeta:id="id_00028" name="i_Ca_L" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00103" name="i_CaCa" public_interface="out" units="microA_per_microF"/>
<variable name="i_CaK" public_interface="out" units="microA_per_microF"/>
<variable name="i_CaNa" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00104" name="I_CaCa" units="microA_per_microF"/>
<variable name="I_CaK" units="microA_per_microF"/>
<variable name="I_CaNa" units="microA_per_microF"/>
<variable initial_value="0.00054" name="P_Ca" units="cm_per_second"/>
<variable initial_value="0.000000675" name="P_Na" units="cm_per_second"/>
<variable initial_value="0.000000193" name="P_K" units="cm_per_second"/>
<variable initial_value="1.0" name="gamma_Cai" units="dimensionless"/>
<variable initial_value="0.34" name="gamma_Cao" units="dimensionless"/>
<variable initial_value="0.75" name="gamma_Nai" units="dimensionless"/>
<variable initial_value="0.75" name="gamma_Nao" units="dimensionless"/>
<variable initial_value="0.75" name="gamma_Ki" units="dimensionless"/>
<variable initial_value="0.75" name="gamma_Ko" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Cai" private_interface="out" public_interface="in" units="micromolar"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="d" private_interface="in" units="dimensionless"/>
<variable name="f" private_interface="in" units="dimensionless"/>
<variable name="f_Ca" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_CaCa_calculation">
<eq/>
<ci> i_CaCa </ci>
<apply>
<times/>
<ci> d </ci>
<ci> f </ci>
<ci> f_Ca </ci>
<ci> I_CaCa </ci>
</apply>
</apply>
<apply id="i_CaNa_calculation">
<eq/>
<ci> i_CaNa </ci>
<apply>
<times/>
<ci> d </ci>
<ci> f </ci>
<ci> f_Ca </ci>
<ci> I_CaNa </ci>
</apply>
</apply>
<apply id="i_CaK_calculation">
<eq/>
<ci> i_CaK </ci>
<apply>
<times/>
<ci> d </ci>
<ci> f </ci>
<ci> f_Ca </ci>
<ci> I_CaK </ci>
</apply>
</apply>
<apply id="I_CaCa_calculation">
<eq/>
<ci> I_CaCa </ci>
<apply>
<times/>
<ci> P_Ca </ci>
<apply>
<power/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</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> gamma_Cai </ci>
<ci> Cai </ci>
<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/>
<ci> gamma_Cao </ci>
<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="I_CaNa_calculation">
<eq/>
<ci> I_CaNa </ci>
<apply>
<times/>
<ci> P_Na </ci>
<apply>
<power/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</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> gamma_Nai </ci>
<ci> Nai </ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci> gamma_Nao </ci>
<ci> Nao </ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 1.0 </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="I_CaK_calculation">
<eq/>
<ci> I_CaK </ci>
<apply>
<times/>
<ci> P_K </ci>
<apply>
<power/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</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> gamma_Ki </ci>
<ci> Ki </ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci> gamma_Ko </ci>
<ci> Ko </ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 1.0 </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="i_Ca_L_calculation">
<eq/>
<ci> i_Ca_L </ci>
<apply> <plus/>
<ci> i_CaCa </ci>
<ci> i_CaK </ci>
<ci> i_CaNa </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00029" name="L_type_Ca_channel_d_gate">
<variable cmeta:id="id_00030" name="d" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00031" name="alpha_d" units="per_millisecond"/>
<variable cmeta:id="id_00032" name="beta_d" units="per_millisecond"/>
<variable cmeta:id="id_00033" name="d_infinity" units="dimensionless"/>
<variable cmeta:id="id_00034" name="tau_d" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_d_calculation">
<eq/>
<ci> alpha_d </ci>
<apply>
<divide/>
<ci> d_infinity </ci>
<ci> tau_d </ci>
</apply>
</apply>
<apply id="d_infinity_calculation">
<eq/>
<ci> d_infinity </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
<cn cellml:units="millivolt"> 6.24 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_d_calculation">
<eq/>
<ci> tau_d </ci>
<apply>
<times/>
<ci> d_infinity </ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
<cn cellml:units="millivolt"> 6.24 </cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond"> 0.035 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_d_calculation">
<eq/>
<ci> beta_d </ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> d_infinity </ci>
</apply>
<ci> tau_d </ci>
</apply>
</apply>
<apply id="dd_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> d </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_d </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> d </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_d </ci>
<ci> d </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00035" name="L_type_Ca_channel_f_gate">
<variable cmeta:id="id_00036" name="f" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00037" name="alpha_f" units="per_millisecond"/>
<variable name="beta_f" units="per_millisecond"/>
<variable cmeta:id="id_00038" name="f_infinity" units="dimensionless"/>
<variable cmeta:id="id_00039" name="tau_f" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_f_calculation">
<eq/>
<ci> alpha_f </ci>
<apply>
<divide/>
<ci> f_infinity </ci>
<ci> tau_f </ci>
</apply>
</apply>
<apply id="f_infinity_calculation">
<eq/>
<ci> f_infinity </ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 35.06 </cn>
</apply>
<cn cellml:units="millivolt"> 8.6 </cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 0.6 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="millivolt"> 50.0 </cn>
<ci> V </ci>
</apply>
<cn cellml:units="millivolt"> 20.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_f_calculation">
<eq/>
<ci> tau_f </ci>
<apply>
<divide/>
<cn cellml:units="millisecond"> 1.0 </cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0197 </cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> 0.0337 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 0.02 </cn>
</apply>
</apply>
</apply>
<apply id="beta_f_calculation">
<eq/>
<ci> beta_f </ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> f_infinity </ci>
</apply>
<ci> tau_f </ci>
</apply>
</apply>
<apply id="df_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> f </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_f </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> f </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_f </ci>
<ci> f </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00040" name="L_type_Ca_channel_f_Ca_gate">
<variable cmeta:id="id_00041" name="f_Ca" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00042" initial_value="0.6" name="Km_Ca" units="micromolar"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="f_Ca_calculation">
<eq/>
<ci> f_Ca </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<power/>
<apply>
<divide/>
<ci> Cai </ci>
<ci> Km_Ca </ci>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="T_type_Ca_channel" name="T_type_Ca_channel">
<variable cmeta:id="id_00043" name="i_Ca_T" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00044" initial_value="0.05" name="g_Ca_T" units="milliS_per_microF"/>
<variable cmeta:id="id_00045" name="E_Ca" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="b" private_interface="in" units="dimensionless"/>
<variable name="g" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Ca_T_calculation">
<eq/>
<ci> i_Ca_T </ci>
<apply>
<times/>
<ci> g_Ca_T </ci>
<ci> b </ci>
<ci> g </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Ca </ci>
</apply>
</apply>
</apply>
<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>
</math>
</component>
<component cmeta:id="id_00046" name="T_type_Ca_channel_b_gate">
<variable cmeta:id="id_00047" name="b" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00048" name="b_infinity" units="dimensionless"/>
<variable cmeta:id="id_00049" name="tau_b" units="millisecond"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="b_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> b </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> b_infinity </ci>
<ci> b </ci>
</apply>
<ci> tau_b </ci>
</apply>
</apply>
<apply id="b_infinity_calculation">
<eq/>
<ci> b_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>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 48.0 </cn>
</apply>
</apply>
<cn cellml:units="millivolt"> 6.1 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_b_calculation">
<eq/>
<ci> tau_b </ci>
<apply>
<plus/>
<cn cellml:units="millisecond"> 0.1 </cn>
<apply>
<divide/>
<cn cellml:units="millisecond"> 5.4 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 100.0 </cn>
</apply>
<cn cellml:units="millivolt"> 33.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00050" name="T_type_Ca_channel_g_gate">
<variable cmeta:id="id_00051" name="g" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00052" name="g_infinity" units="dimensionless"/>
<variable cmeta:id="id_00053" name="tau_g" units="millisecond"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="g_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> g </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> g_infinity </ci>
<ci> g </ci>
</apply>
<ci> tau_g </ci>
</apply>
</apply>
<apply id="g_infinity_calculation">
<eq/>
<ci> g_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>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 66.0 </cn>
</apply>
<cn cellml:units="millivolt"> 6.6 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_g_calculation">
<eq/>
<ci> tau_g </ci>
<apply>
<plus/>
<cn cellml:units="millisecond"> 8.0 </cn>
<apply>
<divide/>
<cn cellml:units="millisecond"> 32.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 65.0 </cn>
</apply>
<cn cellml:units="millivolt"> 5.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00056" name="rapid_time_dependent_potassium_current">
<variable cmeta:id="id_00057" name="i_Kr" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00058" initial_value="0.035" name="g_Kr" units="milliS_per_microF"/>
<variable cmeta:id="id_00059" name="E_Kr" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Xr" private_interface="in" units="dimensionless"/>
<variable name="Rr" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="g_Kr_calculation">
<eq/>
<ci> g_Kr </ci>
<apply>
<times/>
<cn cellml:units="milliS_per_microF"> 0.02612 </cn>
<apply>
<root/>
<apply>
<divide/>
<ci> Ko </ci>
<cn cellml:units="micromolar"> 5.4 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="E_Kr_calculation">
<eq/>
<ci> E_Kr </ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
<ci> F </ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci> Ko </ci>
<ci> Ki </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="i_Kr_calculation">
<eq/>
<ci> i_Kr </ci>
<apply>
<times/>
<ci> g_Kr </ci>
<ci> Xr </ci>
<ci> Rr </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Kr </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00060" name="rapid_time_dependent_potassium_current_Xr_gate">
<variable cmeta:id="id_00061" name="Xr" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00062" name="Xr_infinity" units="dimensionless"/>
<variable cmeta:id="id_00063" name="tau_Xr" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Xr_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Xr </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> Xr_infinity </ci>
<ci> Xr </ci>
</apply>
<ci> tau_Xr </ci>
</apply>
</apply>
<apply id="Xr_infinity_calculation">
<eq/>
<ci> Xr_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>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 50.0 </cn>
</apply>
</apply>
<cn cellml:units="millivolt"> 7.5 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_Xr_calculation">
<eq/>
<ci> tau_Xr </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.00138 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 7.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> -0.123 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 7.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.00061 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.145 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 10.0 </cn>
</apply>
</apply>
<cn cellml:units="dimensionless"> 0.145 </cn>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00064" name="rapid_time_dependent_potassium_current_Rr_gate">
<variable cmeta:id="id_00065" name="Rr" public_interface="out" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Rr_calculation">
<eq/>
<ci> Rr </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 33.0 </cn>
</apply>
<cn cellml:units="millivolt"> 22.4 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00054" name="slow_time_dependent_potassium_current">
<variable cmeta:id="id_00055" name="i_Ks" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00066" name="g_Ks" units="milliS_per_microF"/>
<variable cmeta:id="id_00067" name="E_Ks" units="millivolt"/>
<variable initial_value="0.01833" name="p_Ca" units="dimensionless"/>
<variable initial_value="0.01833" name="P_NaK" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Xs" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="g_Ks_calculation">
<eq/>
<ci> g_Ks </ci>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 0.057 </cn>
<cn cellml:units="dimensionless"> 0.19 </cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="micromolar"> -7.2 </cn>
<ci> p_Ca </ci>
</apply>
<cn cellml:units="dimensionless"> 0.6 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="p_Ca_calculation">
<eq/>
<ci> p_Ca </ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci> Cai </ci>
</apply>
</apply>
<cn cellml:units="dimensionless"> 3.0 </cn>
</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/>
<ci> P_NaK </ci>
<ci> Nao </ci>
</apply>
</apply>
<apply>
<plus/>
<ci> Ki </ci>
<apply>
<times/>
<ci> P_NaK </ci>
<ci> Nai </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="i_Ks_calculation">
<eq/>
<ci> i_Ks </ci>
<apply>
<times/>
<ci> g_Ks </ci>
<apply>
<power/>
<ci> Xs </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Ks </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00068" name="slow_time_dependent_potassium_current_Xs_gate">
<variable cmeta:id="id_00069" name="Xs" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00070" name="tau_Xs" units="millisecond"/>
<variable cmeta:id="id_00071" name="Xs_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Xs_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Xs </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> Xs_infinity </ci>
<ci> Xs </ci>
</apply>
<ci> tau_Xs </ci>
</apply>
</apply>
<apply id="Xs_infinity_calculation">
<eq/>
<ci> Xs_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>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> -1.5 </cn>
</apply>
</apply>
<cn cellml:units="millivolt"> 16.7 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_Xs_calculation">
<eq/>
<ci> tau_Xs </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0000719 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 30.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> -0.148 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 30.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.000131 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 30.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.0687 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 30.0 </cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00073" name="Na_Ca_exchanger">
<variable cmeta:id="id_00074" name="i_NaCa" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00075" initial_value="2600.0" name="K_NaCa" units="microA_per_microF"/>
<variable initial_value="87.5" name="K_mNa" units="millimolar"/>
<variable initial_value="0.1" name="K_sat" units="dimensionless"/>
<variable initial_value="0.35" name="eta" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<variable name="K_mCa" public_interface="in" units="millimolar"/>
<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"> 1.0 </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 cmeta:id="id_00077" name="time_independent_potassium_current">
<variable cmeta:id="id_00078" name="i_K1" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00079" name="E_K1" private_interface="out" public_interface="out" units="millivolt"/>
<variable cmeta:id="id_00080" initial_value="0.540" name="g_K1" units="milliS_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="K1_infinity" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="g_K1_calculation">
<eq/>
<ci> g_K1 </ci>
<apply>
<times/>
<cn cellml:units="milliS_per_microF"> 0.75 </cn>
<apply>
<root/>
<apply>
<divide/>
<ci> Ko </ci>
<cn cellml:units="micromolar"> 5.4 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="E_K1_calculation">
<eq/>
<ci> E_K1 </ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
<ci> F </ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci> Ko </ci>
<ci> Ki </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="i_K1_calculation">
<eq/>
<ci> i_K1 </ci>
<apply>
<times/>
<ci> g_K1 </ci>
<ci> K1_infinity </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K1 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00081" name="time_independent_potassium_current_K1_gate">
<variable cmeta:id="id_00082" name="K1_infinity" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00083" name="alpha_K1" units="per_millisecond"/>
<variable cmeta:id="id_00084" name="beta_K1" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable cmeta:id="id_00085" name="E_K1" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_K1_calculation">
<eq/>
<ci> alpha_K1 </ci>
<apply>
<divide/>
<cn cellml:units="per_millisecond"> 1.02 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> 0.2385 </cn>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K1 </ci>
</apply>
<cn cellml:units="millivolt"> 59.215 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_K1_calculation">
<eq/>
<ci> beta_K1 </ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.49124 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 5.476 </cn>
</apply>
<ci> E_K1 </ci>
</apply>
<cn cellml:units="millivolt"> 12.45 </cn>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci> V </ci>
<apply>
<plus/>
<ci> E_K1 </ci>
<cn cellml:units="millivolt"> 594.31 </cn>
</apply>
</apply>
<cn cellml:units="millivolt"> 16.2 </cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt"> -0.5143 </cn>
<apply>
<minus/>
<ci> V </ci>
<apply>
<plus/>
<ci> E_K1 </ci>
<cn cellml:units="millivolt"> 4.753 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="K1_infinity_calculation">
<eq/>
<ci> K1_infinity </ci>
<apply>
<divide/>
<ci> alpha_K1 </ci>
<apply>
<plus/>
<ci> alpha_K1 </ci>
<ci> beta_K1 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00105" name="plateau_potassium_current">
<variable cmeta:id="id_00106" name="i_Kp" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00107" name="E_Kp" units="millivolt"/>
<variable cmeta:id="id_00108" initial_value="0.008" name="g_Kp" units="milliS_per_microF"/>
<variable cmeta:id="id_00109" name="Kp" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="E_K1" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="E_Kp_calculation">
<eq/>
<ci> E_Kp </ci>
<ci> E_K1 </ci>
</apply>
<apply id="Kp_calculation">
<eq/>
<ci> Kp </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>
<apply id="i_Kp_calculation">
<eq/>
<ci> i_Kp </ci>
<apply>
<times/>
<ci> g_Kp </ci>
<ci> Kp </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Kp </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00110" name="sarcolemmal_calcium_pump">
<variable cmeta:id="id_00111" name="i_p_Ca" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00112" initial_value="0.5" name="K_mpCa" units="micromolar"/>
<variable cmeta:id="id_00113" initial_value="1.15" name="I_pCa" units="microA_per_microF"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply 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 cmeta:id="id_00019" name="sodium_background_current">
<variable cmeta:id="id_00020" name="i_Na_b" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00021" initial_value="0.00141" name="g_Nab" units="milliS_per_microF"/>
<variable name="E_NaN" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable cmeta:id="id_00022" name="E_Na" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="E_NaN_calculation">
<eq/>
<ci> E_NaN </ci>
<ci> E_Na </ci>
</apply>
<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_NaN </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00133" name="calcium_background_current">
<variable cmeta:id="id_00134" name="i_Ca_b" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00135" initial_value="0.003016" name="g_Cab" units="milliS_per_microF"/>
<variable name="E_CaN" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="Cao" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="E_CaN_calculation">
<eq/>
<ci> E_CaN </ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </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_CaN </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00114" name="sodium_potassium_pump">
<variable cmeta:id="id_00115" name="i_NaK" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00116" name="I_NaK" units="microA_per_microF"/>
<variable cmeta:id="id_00117" name="f_NaK" units="dimensionless"/>
<variable initial_value="10.0" name="K_mNai" units="millimolar"/>
<variable initial_value="1.5" name="K_mKo" units="millimolar"/>
<variable name="sigma" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply 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>
<root/>
<apply>
<power/>
<apply>
<divide/>
<ci> K_mNai </ci>
<ci> Nai </ci>
</apply>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci> Ko </ci>
<apply>
<plus/>
<ci> Ko </ci>
<ci> K_mKo </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="calcium_activated_current" name="calcium_activated_current">
<variable cmeta:id="id_00118" name="i_Cl_Ca" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00119" initial_value="0.10" name="K_mCa" public_interface="out" units="micromolar"/>
<variable cmeta:id="id_00121" initial_value="10.0" name="g_Cl" units="milliS_per_microF"/>
<variable cmeta:id="id_00120" name="E_Cl" units="millivolt"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Cl_Ca_calculation">
<eq/>
<ci> i_Cl_Ca </ci>
<apply>
<times/>
<ci> g_Cl </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Cl </ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<ci> K_mCa </ci>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="transient_outward_potassium_current" name="transient_outward_potassium_current">
<variable cmeta:id="id_00090" name="i_to" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="id_00091" initial_value="0.060" name="g_to" units="milliS_per_microF"/>
<variable name="E_K" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable cmeta:id="id_00092" name="X_to" private_interface="in" units="dimensionless"/>
<variable cmeta:id="id_00093" name="Y_to" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_to_calculation">
<eq/>
<ci> i_to </ci>
<apply>
<times/>
<ci> g_to </ci>
<ci> X_to </ci>
<ci> Y_to </ci>
<apply>
<minus/>
<ci> V </ci>
<ci> E_K </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00094" name="transient_outward_potassium_current_X_to_gate">
<variable cmeta:id="id_00095" initial_value="0.00003742" name="X_to" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00096" name="alpha_X_to" units="per_millisecond"/>
<variable cmeta:id="id_00097" name="beta_X_to" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_X_to_calculation">
<eq/>
<ci> alpha_X_to </ci>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.04561 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.03577 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_X_to_calculation">
<eq/>
<ci> beta_X_to </ci>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.0989 </cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> -0.06237 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00098" name="transient_outward_potassium_current_Y_to_gate">
<variable cmeta:id="id_00099" initial_value="1.0" name="Y_to" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00100" name="alpha_Y_to" units="per_millisecond"/>
<variable cmeta:id="id_00101" name="beta_Y_to" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="alpha_Y_to_calculation">
<eq/>
<ci> alpha_Y_to </ci>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.005415 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 33.5 </cn>
</apply>
<cn cellml:units="millivolt"> 5.0 </cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.051335 </cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 33.5 </cn>
</apply>
<cn cellml:units="millivolt"> 5.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_Y_to_calculation">
<eq/>
<ci> beta_Y_to </ci>
<apply>
<times/>
<cn cellml:units="per_millisecond"> 0.005415 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 33.5 </cn>
</apply>
<cn cellml:units="millivolt"> 5.0 </cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.051335 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 33.5 </cn>
</apply>
<cn cellml:units="millivolt"> 5.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ca_buffers_in_the_myoplasm">
<variable cmeta:id="id_00122" initial_value="0.5" name="K_mTRPN" units="micromolar"/>
<variable cmeta:id="id_00126" initial_value="2.38" name="K_mCMDN" units="micromolar"/>
<variable cmeta:id="id_00123" initial_value="70.0" name="TRPN_max" units="micromolar"/>
<variable cmeta:id="id_00125" initial_value="50.0" name="CMDN_max" units="micromolar"/>
<variable cmeta:id="id_00124" name="TRPN_buff" units="micromolar"/>
<variable name="CMDN_buff" units="micromolar"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="TRPN_buff_calculation">
<eq/>
<ci> TRPN_buff </ci>
<apply>
<times/>
<ci> TRPN_max </ci>
<apply>
<divide/>
<ci> Cai </ci>
<apply>
<plus/>
<ci> Cai </ci>
<ci> K_mTRPN </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="CMDN_buff_calculation">
<eq/>
<ci> CMDN_buff </ci>
<apply>
<times/>
<ci> CMDN_max </ci>
<apply>
<divide/>
<ci> Cai </ci>
<apply>
<plus/>
<ci> Cai </ci>
<ci> K_mCMDN </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_fluxes_in_the_SR">
<variable name="i_rel" public_interface="out" units="millimolar_per_millisecond"/>
<variable name="i_up" public_interface="out" units="millimolar_per_millisecond"/>
<variable cmeta:id="id_00132" name="i_leak" public_interface="out" units="millimolar_per_millisecond"/>
<variable name="i_tr" public_interface="out" units="millimolar_per_millisecond"/>
<variable name="G_rel" units="per_millisecond"/>
<variable name="G_rel_max" units="per_millisecond"/>
<variable initial_value="2.0" name="tau_on" units="millisecond"/>
<variable initial_value="2.0" name="tau_off" units="millisecond"/>
<variable initial_value="180.0" name="tau_tr" units="millisecond"/>
<variable initial_value="0.0" name="t" units="millisecond"/>
<variable initial_value="0.8" name="K_mrel" units="micromolar"/>
<variable name="delta_Ca_i2" units="micromolar"/>
<variable initial_value="0.18" name="delta_Ca_ith" units="micromolar"/>
<variable cmeta:id="id_00127" name="CSQN_buff" units="millimolar"/>
<variable cmeta:id="id_00128" initial_value="10.0" name="CSQN_max" units="millimolar"/>
<variable cmeta:id="id_00129" initial_value="0.7" name="CSQN_th" units="millimolar"/>
<variable cmeta:id="id_00130" initial_value="0.8" name="K_mCSQN" units="millimolar"/>
<variable initial_value="0.92" name="K_mup" units="micromolar"/>
<variable cmeta:id="id_00131" name="K_leak" units="per_millisecond"/>
<variable initial_value="0.005" name="I_up" units="millimolar_per_millisecond"/>
<variable initial_value="0.15" name="Ca_NSR_max" units="millimolar"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Cai" public_interface="in" units="micromolar"/>
<variable name="Ca_JSR" public_interface="in" units="millimolar"/>
<variable name="Ca_NSR" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_rel_calculation">
<eq/>
<ci> i_rel </ci>
<apply>
<times/>
<ci> G_rel </ci>
<apply>
<minus/>
<ci> Ca_JSR </ci>
<ci> Cai </ci>
</apply>
</apply>
</apply>
<apply id="G_rel_calculation">
<eq/>
<ci> G_rel </ci>
<apply>
<times/>
<ci> G_rel_max </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> delta_Ca_i2 </ci>
<ci> delta_Ca_ith </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci> K_mrel </ci>
<ci> delta_Ca_i2 </ci>
</apply>
<ci> delta_Ca_ith </ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<divide/>
<ci> t </ci>
<ci> tau_on </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<divide/>
<ci> t </ci>
<ci> tau_off </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="G_rel_max_calculation">
<eq/>
<ci> G_rel_max </ci>
<piecewise>
<piece>
<cn cellml:units="per_millisecond"> 0.0 </cn>
<apply>
<lt/>
<ci> delta_Ca_i2 </ci>
<ci> delta_Ca_ith </ci>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_millisecond"> 60.0 </cn>
</otherwise>
</piecewise>
</apply>
<apply id="CSQN_buff_calculation">
<eq/>
<ci> CSQN_buff </ci>
<apply>
<times/>
<ci> CSQN_max </ci>
<apply>
<divide/>
<ci> Ca_JSR </ci>
<apply>
<plus/>
<ci> Ca_JSR </ci>
<ci> K_mCSQN </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="i_up_calculation">
<eq/>
<ci> i_up </ci>
<apply>
<times/>
<ci> I_up </ci>
<apply>
<divide/>
<ci> Cai </ci>
<apply>
<plus/>
<ci> Cai </ci>
<ci> K_mup </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="i_leak_calculation">
<eq/>
<ci> i_leak </ci>
<apply>
<times/>
<ci> K_leak </ci>
<ci> Ca_NSR </ci>
</apply>
</apply>
<apply id="K_leak_calculation">
<eq/>
<ci> K_leak </ci>
<apply>
<divide/>
<ci> I_up </ci>
<ci> Ca_NSR_max </ci>
</apply>
</apply>
<apply id="i_tr_calculation">
<eq/>
<ci> i_tr </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> Ca_NSR </ci>
<ci> Ca_JSR </ci>
</apply>
<ci> tau_tr </ci>
</apply>
</apply>
</math>
</component>
<component name="ionic_concentrations">
<variable initial_value="10.0" name="Nai" public_interface="out" units="millimolar"/>
<variable initial_value="140.0" name="Nao" public_interface="out" units="millimolar"/>
<variable initial_value="0.12" name="Cai" public_interface="out" units="micromolar"/>
<variable initial_value="1.8" name="Cao" public_interface="out" units="millimolar"/>
<variable initial_value="145.0" name="Ki" public_interface="out" units="millimolar"/>
<variable initial_value="5.4" name="Ko" public_interface="out" units="millimolar"/>
<variable name="Ca_JSR" public_interface="out" units="millimolar"/>
<variable initial_value="15.0" name="Ca_NSR" public_interface="out" units="millimolar"/>
<variable name="Ca_foot" units="micromolar"/>
<variable initial_value="0.000153" name="A_cap" units="mm2"/>
<variable name="R_A_V" units="dimensionless"/>
<variable name="V_myo" units="micro_litre"/>
<variable name="delta_Ca" units="dimensionless"/>
<variable name="delta_Ca_JSR" units="dimensionless"/>
<variable name="V_cleft" units="micro_litre"/>
<variable name="V_JSR" units="micro_litre"/>
<variable name="V_NSR" units="micro_litre"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="i_Na" public_interface="in" units="microA_per_microF"/>
<variable name="i_CaNa" public_interface="in" units="microA_per_microF"/>
<variable name="i_Na_b" public_interface="in" units="microA_per_microF"/>
<variable name="i_NaCa" public_interface="in" units="microA_per_microF"/>
<variable name="i_NaK" public_interface="in" units="microA_per_microF"/>
<variable name="i_CaCa" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ca_T" public_interface="in" units="microA_per_microF"/>
<variable name="i_CaK" public_interface="in" units="microA_per_microF"/>
<variable name="i_p_Ca" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ca_b" public_interface="in" units="microA_per_microF"/>
<variable name="i_Kr" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ks" public_interface="in" units="microA_per_microF"/>
<variable name="i_K1" public_interface="in" units="microA_per_microF"/>
<variable name="i_Kp" public_interface="in" units="microA_per_microF"/>
<variable name="i_to" public_interface="in" units="microA_per_microF"/>
<variable name="i_tr" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="i_rel" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="i_leak" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="i_up" public_interface="in" units="millimolar_per_millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="sodium_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_CaNa </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/>
<ci> A_cap </ci>
<apply>
<times/>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="calcium_internal_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Cai </ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci> i_CaCa </ci>
<ci> i_p_Ca </ci>
<ci> i_Ca_b </ci>
<ci> i_Ca_T </ci>
</apply>
<ci> i_NaCa </ci>
</apply>
<apply>
<divide/>
<ci> A_cap </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci> i_rel </ci>
<apply>
<divide/>
<ci> V_JSR </ci>
<ci> V_myo </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci> i_leak </ci>
<ci> i_up </ci>
</apply>
<apply>
<divide/>
<ci> V_NSR </ci>
<ci> V_myo </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="potassium_internal_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ki </ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci> i_CaK </ci>
<ci> i_Kr </ci>
<ci> i_Ks </ci>
<ci> i_K1 </ci>
<ci> i_Kp </ci>
<ci> i_to </ci>
<apply>
<minus/>
<apply>
<times/>
<ci> i_NaK </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci> A_cap </ci>
<apply>
<times/>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="potassium_external_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ko </ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> i_CaK </ci>
<ci> i_Kr </ci>
<ci> i_Ks </ci>
<ci> i_K1 </ci>
<ci> i_Kp </ci>
<ci> i_to </ci>
<apply>
<minus/>
<apply>
<times/>
<ci> i_NaK </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci> A_cap </ci>
<apply>
<times/>
<ci> V_cleft </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="calcium_JSR_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_JSR </ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci> i_rel </ci>
<apply>
<times/>
<ci> i_tr </ci>
<apply>
<divide/>
<ci> V_NSR </ci>
<ci> V_JSR </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="calcium_NSR_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_NSR </ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci> i_leak </ci>
<ci> i_tr </ci>
</apply>
<ci> i_up </ci>
</apply>
</apply>
</apply>
<apply id="calcium_foot_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_foot </ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci> i_CaCa </ci>
</apply>
<apply>
<divide/>
<ci> A_cap </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
<ci> R_A_V </ci>
</apply>
</apply>
</math>
</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="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f_Ca_gate"/>
</component_ref>
<component_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_b_gate"/>
<component_ref component="T_type_Ca_channel_g_gate"/>
</component_ref>
<component_ref component="transient_outward_potassium_current">
<component_ref component="transient_outward_potassium_current_X_to_gate"/>
<component_ref component="transient_outward_potassium_current_Y_to_gate"/>
</component_ref>
<component_ref component="rapid_time_dependent_potassium_current">
<component_ref component="rapid_time_dependent_potassium_current_Xr_gate"/>
<component_ref component="rapid_time_dependent_potassium_current_Rr_gate"/>
</component_ref>
<component_ref component="slow_time_dependent_potassium_current">
<component_ref component="slow_time_dependent_potassium_current_Xs_gate"/>
</component_ref>
<component_ref component="Na_Ca_exchanger"/>
<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="sarcolemmal_calcium_pump"/>
<component_ref component="sodium_background_current"/>
<component_ref component="calcium_background_current"/>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="calcium_activated_current"/>
<component_ref component="transient_outward_potassium_current"/>
<component_ref component="ionic_concentrations"/>
<component_ref component="Ca_buffers_in_the_myoplasm"/>
<component_ref component="calcium_fluxes_in_the_SR"/>
</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="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f_Ca_gate"/>
</component_ref>
<component_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_b_gate"/>
<component_ref component="T_type_Ca_channel_g_gate"/>
</component_ref>
<component_ref component="transient_outward_potassium_current">
<component_ref component="transient_outward_potassium_current_X_to_gate"/>
<component_ref component="transient_outward_potassium_current_Y_to_gate"/>
</component_ref>
<component_ref component="rapid_time_dependent_potassium_current">
<component_ref component="rapid_time_dependent_potassium_current_Xr_gate"/>
<component_ref component="rapid_time_dependent_potassium_current_Rr_gate"/>
</component_ref>
<component_ref component="slow_time_dependent_potassium_current">
<component_ref component="slow_time_dependent_potassium_current_Xs_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
</group>
<!--
"Time" is passed from the "environment" component into the
"membrane" and current components.
-->
<connection>
<map_components component_1="membrane" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="rapid_time_dependent_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="slow_time_dependent_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Na_Ca_exchanger" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="time_independent_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="plateau_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sarcolemmal_calcium_pump" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_background_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="calcium_background_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_potassium_pump" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="calcium_activated_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="transient_outward_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="ionic_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Ca_buffers_in_the_myoplasm" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="calcium_fluxes_in_the_SR" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<!--
Several variables are passed between the "membrane" and its sub-components.
-->
<connection>
<map_components component_1="membrane" component_2="fast_sodium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Na" variable_2="i_Na"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="L_type_Ca_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="T_type_Ca_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="rapid_time_dependent_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Kr" variable_2="i_Kr"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="slow_time_dependent_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ks" variable_2="i_Ks"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="Na_Ca_exchanger"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="time_independent_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_K1" variable_2="i_K1"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="plateau_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Kp" variable_2="i_Kp"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sarcolemmal_calcium_pump"/>
<map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sodium_background_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="calcium_background_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sodium_potassium_pump"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_NaK" variable_2="i_NaK"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="calcium_activated_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Cl_Ca" variable_2="i_Cl_Ca"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="transient_outward_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_to" variable_2="i_to"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="ionic_concentrations"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<!-- Several variables are passed between the sibling components. -->
<connection>
<map_components component_1="fast_sodium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="i_Na" variable_2="i_Na"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="sodium_background_current"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="ionic_concentrations"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="Ki" variable_2="Ki"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="i_CaCa" variable_2="i_CaCa"/>
<map_variables variable_1="i_CaNa" variable_2="i_CaNa"/>
<map_variables variable_1="i_CaK" variable_2="i_CaK"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="ionic_concentrations"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
<map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
</connection>
<connection>
<map_components component_1="rapid_time_dependent_potassium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Ki" variable_2="Ki"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="i_Kr" variable_2="i_Kr"/>
</connection>
<connection>
<map_components component_1="slow_time_dependent_potassium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Ki" variable_2="Ki"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="i_Ks" variable_2="i_Ks"/>
</connection>
<connection>
<map_components component_1="Na_Ca_exchanger" component_2="ionic_concentrations"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
</connection>
<connection>
<map_components component_1="Na_Ca_exchanger" component_2="calcium_activated_current"/>
<map_variables variable_1="K_mCa" variable_2="K_mCa"/>
</connection>
<connection>
<map_components component_1="time_independent_potassium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Ki" variable_2="Ki"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="i_K1" variable_2="i_K1"/>
</connection>
<connection>
<map_components component_1="plateau_potassium_current" component_2="time_independent_potassium_current"/>
<map_variables variable_1="E_K1" variable_2="E_K1"/>
</connection>
<connection>
<map_components component_1="plateau_potassium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="i_Kp" variable_2="i_Kp"/>
</connection>
<connection>
<map_components component_1="sarcolemmal_calcium_pump" component_2="ionic_concentrations"/>
<map_variables variable_1="i_p_Ca" variable_2="i_p_Ca"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
</connection>
<connection>
<map_components component_1="sodium_background_current" component_2="ionic_concentrations"/>
<map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
</connection>
<connection>
<map_components component_1="calcium_background_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
<map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
</connection>
<connection>
<map_components component_1="sodium_potassium_pump" component_2="ionic_concentrations"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="i_NaK" variable_2="i_NaK"/>
</connection>
<connection>
<map_components component_1="calcium_activated_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
</connection>
<connection>
<map_components component_1="transient_outward_potassium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="i_to" variable_2="i_to"/>
</connection>
<connection>
<map_components component_1="Ca_buffers_in_the_myoplasm" component_2="ionic_concentrations"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
</connection>
<connection>
<map_components component_1="calcium_fluxes_in_the_SR" component_2="ionic_concentrations"/>
<map_variables variable_1="i_rel" variable_2="i_rel"/>
<map_variables variable_1="i_tr" variable_2="i_tr"/>
<map_variables variable_1="i_leak" variable_2="i_leak"/>
<map_variables variable_1="i_up" variable_2="i_up"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="Ca_JSR" variable_2="Ca_JSR"/>
<map_variables variable_1="Ca_NSR" variable_2="Ca_NSR"/>
</connection>
<!--
Various variables are passed between parent components and their
encapsulated gates.
-->
<connection>
<map_components component_1="fast_sodium_current" component_2="fast_sodium_current_m_gate"/>
<map_variables variable_1="m" variable_2="m"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="fast_sodium_current_h_gate"/>
<map_variables variable_1="h" variable_2="h"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="fast_sodium_current_j_gate"/>
<map_variables variable_1="j" variable_2="j"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_d_gate"/>
<map_variables variable_1="d" variable_2="d"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_f_gate"/>
<map_variables variable_1="f" variable_2="f"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_f_Ca_gate"/>
<map_variables variable_1="f_Ca" variable_2="f_Ca"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="T_type_Ca_channel_b_gate"/>
<map_variables variable_1="b" variable_2="b"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="T_type_Ca_channel_g_gate"/>
<map_variables variable_1="g" variable_2="g"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="rapid_time_dependent_potassium_current" component_2="rapid_time_dependent_potassium_current_Xr_gate"/>
<map_variables variable_1="Xr" variable_2="Xr"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="rapid_time_dependent_potassium_current" component_2="rapid_time_dependent_potassium_current_Rr_gate"/>
<map_variables variable_1="Rr" variable_2="Rr"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="slow_time_dependent_potassium_current" component_2="slow_time_dependent_potassium_current_Xs_gate"/>
<map_variables variable_1="Xs" variable_2="Xs"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="time_independent_potassium_current" component_2="time_independent_potassium_current_K1_gate"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="E_K1" variable_2="E_K1"/>
<map_variables variable_1="K1_infinity" variable_2="K1_infinity"/>
</connection>
<connection>
<map_components component_1="transient_outward_potassium_current" component_2="transient_outward_potassium_current_X_to_gate"/>
<map_variables variable_1="X_to" variable_2="X_to"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="transient_outward_potassium_current" component_2="transient_outward_potassium_current_Y_to_gate"/>
<map_variables variable_1="Y_to" variable_2="Y_to"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<rdf:RDF><rdf:Description rdf:about="rdf:#297b268b-9905-4f21-bb0a-da6bfee0b6ea"><rdf:value xml:lang="en">
<apply xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" cmeta:id="calcium_overload"><eq/>
<ci> G_rel </ci>
<apply><times/>
<ci> G_rel_max </ci>
<apply><minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp/>
<apply><minus/>
<apply><divide/>
<ci> t </ci>
<ci> tau_on </ci>
</apply>
</apply>
</apply>
</apply>
<apply><exp/>
<apply><minus/>
<apply><divide/>
<ci> t </ci>
<ci> tau_off </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/1.0#"><eq/>
<ci> G_rel_max </ci>
<piecewise>
<piece>
<cn cellml:units="per_millisecond"> 0.0 </cn>
<apply><lt/>
<ci> CSQN_buff </ci>
<ci> CSQN_th </ci>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_millisecond"> 4.0 </cn>
</otherwise>
</piecewise>
</apply>
</rdf:value><rdf:value xml:lang="en">
When the cell is under calcium-overload conditions, the equations
for G-rel and G-rel max are altered. Rather than include these
equations as part of the CellML model itself, they are presented
below within the metadata. This is because the calcium-overload
conditions are poorly defined and most modelers will be interested
in a cell under normal calcium conditions.
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