<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 8/02/2008 at 5:48:49 at p.m. using:
COR (0.9.31.863)
Copyright 2002-2008 Dr Alan Garny
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk
CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" name="niederer_smith_2007" cmeta:id="niederer_smith_2007">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<section id="sec_status">
<title>Model Status</title>
<para>
This model is known to run in both OpenCell and COR to reproduce the output shown in the publication.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: We developed a model of the rat ventricular myocyte at room temperature to predict the relative effects of different mechanisms on the cause of the slow increase in force in response to a step change in muscle length. We performed simulations in the presence of stretch-dependent increases in flux through the Na+-H+ exchanger (NHE) and chloride-bicarbonate exchanger (AE), stretch-activated channels (SAC), and the stretch-dependent nitric oxide (NO) induced increased open probability of the ryanodine receptors to estimate the capacity of each mechanism to produce the slow force response (SFR). Inclusion of stretch-dependent NHE & AE, SACs, and stretch-dependent NO effects caused an increase in tension following 15 min of stretch of 0.87%, 32%, and 0%, respectively. Comparing [Ca2+]i dynamics before and after stretch in the presence of combinations of the three stretch-dependent elements, which produced significant SFR values (>20%), showed that the inclusion of stretch-dependent NO effects produced [Ca2+]i transients, which were not consistent with experimental results. Further simulations showed that in the presence of SACs and the absence of stretch-dependent NHE & AE inhibition of NHE attenuated the SFR, such that reduced SFR in the presence of NHE blockers does not indicate a stretch dependence of NHE. Rather, a functioning NHE is responsible for a portion of the SFR. Based on our simulations we estimate that in rat cardiac myocytes at room temperature SACs play a significant role in producing the SFR, potentially in the presence of stretch-dependent NHE & AE and that NO effects, if any, must involve more mechanisms than just increasing the open probability of ryanodine receptors.
</para>
<para>
The complete original publication reference is cited below:
</para>
<para>A mathematical model of the slow force response to stretch in rat ventricular myocytes, Steven Niederer, Nicholas Smith, 2007.
<emphasis>Biophysical Journal</emphasis>, 92 (11) 4030-4044, <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/17369410">PubMed ID: 17369410</ulink>
</para>
<informalfigure float="0" id="fig_reaction_diagram">
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<title>reaction diagram</title>
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<imagedata fileref="terkildsen_2008.png"/>
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<caption>Schematic representation of the mathematical model.</caption>
</informalfigure>
</sect1>
</article>
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<minus/>
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<variable units="dimensionless" name="j_infinity"/>
<variable units="ms" name="tau_j"/>
<variable units="mV" public_interface="in" name="V"/>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<cn cellml:units="dimensionless">0.01052</cn>
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<ci>V</ci>
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<plus/>
<cn cellml:units="dimensionless">1</cn>
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<times/>
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<minus/>
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<plus/>
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</apply>
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</apply>
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<eq/>
<apply>
<diff/>
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</bvar>
<ci>j</ci>
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<apply>
<divide/>
<apply>
<minus/>
<ci>j_infinity</ci>
<ci>j</ci>
</apply>
<ci>tau_j</ci>
</apply>
</apply>
</math>
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<component name="Ca_independent_transient_outward_K_current">
<variable units="uA_per_mm2" public_interface="out" name="i_t"/>
<variable units="mV" public_interface="out" name="E_K"/>
<variable units="mS" name="g_t" initial_value="3.5e-5"/>
<variable units="mS" name="g_t_endo"/>
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<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="mM" public_interface="in" name="K_o"/>
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<variable units="dimensionless" private_interface="in" name="s_slow"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_t_endo</ci>
<apply>
<times/>
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<ci>g_t</ci>
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<apply>
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<times/>
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<divide/>
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<times/>
<ci>R</ci>
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<apply>
<ln/>
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<divide/>
<ci>K_o</ci>
<ci>K_i</ci>
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</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_t</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_t_endo</ci>
<ci>r</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>a_endo</ci>
<ci>s</ci>
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<apply>
<times/>
<ci>b_endo</ci>
<ci>s_slow</ci>
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<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
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</apply>
<ci>A_cap</ci>
</apply>
</apply>
</math>
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<component name="Ca_independent_transient_outward_K_current_r_gate">
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<variable units="dimensionless" name="r_infinity"/>
<variable units="mV" public_interface="in" name="V"/>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
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<divide/>
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<plus/>
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<plus/>
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<apply>
<minus/>
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</apply>
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<apply>
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<apply>
<divide/>
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<plus/>
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<times/>
<cn cellml:units="dimensionless">45.16</cn>
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<times/>
<cn cellml:units="dimensionless">0.03577</cn>
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<plus/>
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<cn cellml:units="dimensionless">98.9</cn>
<apply>
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<times/>
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<minus/>
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<plus/>
<ci>V</ci>
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<diff/>
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<apply>
<divide/>
<apply>
<minus/>
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<variable units="mV" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
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<divide/>
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<divide/>
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<plus/>
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<cn cellml:units="mV">6.8841</cn>
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<eq/>
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<plus/>
<apply>
<times/>
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<exp/>
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<minus/>
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<power/>
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<divide/>
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<plus/>
<ci>V</ci>
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</apply>
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<diff/>
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<minus/>
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<variable units="mV" public_interface="in" name="V"/>
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<divide/>
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<plus/>
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<minus/>
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<power/>
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<divide/>
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<plus/>
<ci>V</ci>
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<cn cellml:units="mV">30</cn>
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<divide/>
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<minus/>
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<variable units="mV" public_interface="in" name="E_K"/>
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<variable units="dimensionless" private_interface="in" name="s_ss"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
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<eq/>
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<divide/>
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<times/>
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<minus/>
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<minus/>
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<minus/>
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<plus/>
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<minus/>
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<plus/>
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<minus/>
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<minus/>
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<plus/>
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<minus/>
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<plus/>
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<divide/>
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<minus/>
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<minus/>
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<component name="hyperpolarisation_activated_current">
<variable units="uA_per_mm2" public_interface="out" name="i_f"/>
<variable units="uA_per_mm2" public_interface="out" name="i_f_Na"/>
<variable units="uA_per_mm2" public_interface="out" name="i_f_K"/>
<variable units="mS" name="g_f" initial_value="1.45e-6"/>
<variable units="dimensionless" name="f_Na" initial_value="0.2"/>
<variable units="dimensionless" name="f_K"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="mV" public_interface="in" private_interface="out" name="V"/>
<variable units="mV" public_interface="in" name="E_K"/>
<variable units="mV" public_interface="in" name="E_Na"/>
<variable units="dimensionless" private_interface="in" name="y"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>f_K</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>f_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_f</ci>
<ci>y</ci>
<ci>f_Na</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f_K</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_f</ci>
<ci>y</ci>
<ci>f_K</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f</ci>
<apply>
<plus/>
<ci>i_f_Na</ci>
<ci>i_f_K</ci>
</apply>
</apply>
</math>
</component>
<component name="hyperpolarisation_activated_current_y_gate">
<variable units="dimensionless" public_interface="out" name="y" initial_value="0.00331726547133295"/>
<variable units="ms" name="tau_y"/>
<variable units="dimensionless" name="y_infinity"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>y_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">138.6</cn>
</apply>
<cn cellml:units="mV">10.48</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_y</ci>
<apply>
<divide/>
<cn cellml:units="ms">1e3</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.11885</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">80</cn>
</apply>
<cn cellml:units="mV">28.37</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5623</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">80</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="mV">14.19</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>y</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>y_infinity</ci>
<ci>y</ci>
</apply>
<ci>tau_y</ci>
</apply>
</apply>
</math>
</component>
<component name="background_currents">
<variable units="uA_per_mm2" public_interface="out" name="i_B_Na"/>
<variable units="uA_per_mm2" public_interface="out" name="i_B_K"/>
<variable units="mS" name="g_B_Na" initial_value="8.015e-8"/>
<variable units="mS" name="g_B_K" initial_value="1.38e-7"/>
<variable units="mV" public_interface="in" name="E_Na"/>
<variable units="mV" public_interface="in" name="E_K"/>
<variable units="millijoule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<variable units="dimensionless" name="scale_Na" initial_value="0"/>
<variable units="dimensionless" name="scale_K" initial_value="0"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_B_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>scale_Na</ci>
<ci>g_B_Na</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_B_K</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>scale_K</ci>
<ci>g_B_K</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump">
<variable units="uA_per_mm2" public_interface="out" name="i_NaK"/>
<variable units="uA" name="i_NaK_max" initial_value="9.5e-5"/>
<variable units="mM" name="K_m_K" initial_value="1.5"/>
<variable units="mM" name="K_m_Na" initial_value="10"/>
<variable units="dimensionless" name="sigma"/>
<variable units="mM" public_interface="in" name="K_o"/>
<variable units="mM" public_interface="in" name="Na_o"/>
<variable units="mM" public_interface="in" name="Na_i"/>
<variable units="millijoule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<variable units="dimensionless" name="p_nai"/>
<variable units="dimensionless" name="p_v"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>p_nai</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_m_Na</ci>
<ci>Na_i</ci>
</apply>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>sigma</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Na_o</ci>
<cn cellml:units="mM">67.3</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">7</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>p_v</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1245</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0365</cn>
<ci>sigma</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_NaK</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>i_NaK_max</ci>
<ci>A_cap</ci>
</apply>
<ci>p_v</ci>
<ci>K_o</ci>
</apply>
<apply>
<plus/>
<ci>K_o</ci>
<ci>K_m_K</ci>
</apply>
</apply>
<ci>p_nai</ci>
</apply>
</apply>
</math>
</component>
<component name="J_CO2">
<variable units="mM_per_ms" public_interface="out" name="jco2"/>
<variable units="mm_per_ms" name="Pco2" initial_value="5.8e-5"/>
<variable units="mM" public_interface="in" name="CO2i"/>
<variable units="mM" public_interface="in" name="CO2e"/>
<variable units="per_mm" public_interface="in" name="rho"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>jco2</ci>
<apply>
<times/>
<ci>V_myo</ci>
<ci>rho</ci>
<ci>Pco2</ci>
<apply>
<minus/>
<ci>CO2e</ci>
<ci>CO2i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="comp_v_nhe_exchanger">
<variable units="dimensionless" public_interface="in" name="ExtensionRatio"/>
<variable units="dimensionless" public_interface="in" name="pH_i"/>
<variable units="dimensionless" public_interface="in" name="pH_e"/>
<variable units="mM" public_interface="in" name="Ae"/>
<variable units="mM" public_interface="in" name="Ai"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="mM_per_ms" public_interface="out" name="v_nhe"/>
<variable units="mM" name="KA" initial_value="21.4935205515214"/>
<variable units="mM" name="KB" initial_value="1.77948608115949e-7"/>
<variable units="per_ms" name="kp1" initial_value="0.51156085723193"/>
<variable units="per_ms" name="km1" initial_value="0.14069285629105"/>
<variable units="per_ms" name="kp2" initial_value="0.001698"/>
<variable units="dimensionless" name="km2"/>
<variable units="mM" name="K_Hi" initial_value="0.000416869383470335"/>
<variable units="dimensionless" name="n_Hi" initial_value="2"/>
<variable units="mM" name="Be"/>
<variable units="mM" name="Bi"/>
<variable units="per_ms" name="am1"/>
<variable units="per_ms" name="ap1"/>
<variable units="per_ms" name="am2"/>
<variable units="per_ms" name="ap2"/>
<variable units="dimensionless" name="reg"/>
<variable units="dimensionless" name="flux_nhe"/>
<variable units="dimensionless" name="Q_10Scaler" initial_value="0.35"/>
<variable units="dimensionless" name="gamma_NHE"/>
<variable units="mM" name="K_Hs"/>
<variable units="dimensionless" public_interface="in" name="pH_on"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>gamma_NHE</ci>
<piecewise>
<piece>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">2.804</cn>
<apply>
<minus/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>pH_on</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">1</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>K_Hs</ci>
<apply>
<times/>
<ci>K_Hi</ci>
<ci>gamma_NHE</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>km2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp1</ci>
<ci>kp2</ci>
</apply>
<ci>km1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Be</ci>
<apply>
<times/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_e</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1e3</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Bi</ci>
<apply>
<times/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1e3</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>ap1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>KB</ci>
<ci>Ae</ci>
<ci>kp1</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>KA</ci>
<ci>KB</ci>
</apply>
<apply>
<times/>
<ci>KB</ci>
<ci>Ae</ci>
</apply>
<apply>
<times/>
<ci>Ae</ci>
<ci>Be</ci>
</apply>
<apply>
<times/>
<ci>KA</ci>
<ci>Be</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>am1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>KB</ci>
<ci>Ai</ci>
<ci>km1</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>KA</ci>
<ci>KB</ci>
</apply>
<apply>
<times/>
<ci>KB</ci>
<ci>Ai</ci>
</apply>
<apply>
<times/>
<ci>Ai</ci>
<ci>Bi</ci>
</apply>
<apply>
<times/>
<ci>KA</ci>
<ci>Bi</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>ap2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>KA</ci>
<ci>Bi</ci>
<ci>kp2</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>KA</ci>
<ci>KB</ci>
</apply>
<apply>
<times/>
<ci>KB</ci>
<ci>Ai</ci>
</apply>
<apply>
<times/>
<ci>Ai</ci>
<ci>Bi</ci>
</apply>
<apply>
<times/>
<ci>KA</ci>
<ci>Bi</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>am2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>KA</ci>
<ci>Be</ci>
<ci>km2</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>KA</ci>
<ci>KB</ci>
</apply>
<apply>
<times/>
<ci>KB</ci>
<ci>Ae</ci>
</apply>
<apply>
<times/>
<ci>Ae</ci>
<ci>Be</ci>
</apply>
<apply>
<times/>
<ci>KA</ci>
<ci>Be</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>reg</ci>
<apply>
<divide/>
<apply>
<power/>
<ci>Bi</ci>
<ci>n_Hi</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Bi</ci>
<ci>n_Hi</ci>
</apply>
<apply>
<power/>
<ci>K_Hs</ci>
<ci>n_Hi</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>flux_nhe</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>reg</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>ap1</ci>
<ci>ap2</ci>
</apply>
<apply>
<times/>
<ci>am1</ci>
<ci>am2</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>ap1</ci>
<ci>ap2</ci>
<ci>am1</ci>
<ci>am2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_nhe</ci>
<apply>
<times/>
<ci>flux_nhe</ci>
<ci>V_myo</ci>
<ci>Q_10Scaler</ci>
</apply>
</apply>
</math>
</component>
<component name="comp_v_che_exchanger">
<variable units="dimensionless" public_interface="in" name="pH_i"/>
<variable units="dimensionless" public_interface="in" name="pH_e"/>
<variable units="mM" public_interface="in" name="Cle"/>
<variable units="mM" public_interface="in" name="Cli"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="mM_per_ms" public_interface="out" name="v_che"/>
<variable units="mM" name="K_Cl" initial_value="17970.36"/>
<variable units="mM" name="K_OH" initial_value="0.0008907"/>
<variable units="per_min" name="kp1" initial_value="14975.6"/>
<variable units="per_min" name="km1" initial_value="257.4"/>
<variable units="per_min" name="kp2" initial_value="4084.9"/>
<variable units="per_min" name="km2"/>
<variable units="mM" name="OHe"/>
<variable units="mM" name="OHi"/>
<variable units="dimensionless" name="a"/>
<variable units="dimensionless" name="b"/>
<variable units="dimensionless" name="c"/>
<variable units="dimensionless" name="d"/>
<variable units="dimensionless" name="s1"/>
<variable units="dimensionless" name="s6"/>
<variable units="dimensionless" name="Q_10Scaler" initial_value="0.35"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>km2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>km1</ci>
</apply>
<ci>kp1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>OHe</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<plus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">14</cn>
</apply>
<ci>pH_e</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>OHi</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<plus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">14</cn>
</apply>
<ci>pH_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_OH</ci>
<ci>OHe</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_OH</ci>
<ci>Cle</ci>
</apply>
<apply>
<times/>
<ci>OHe</ci>
<ci>K_Cl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>b</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_Cl</ci>
<ci>Cle</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Cl</ci>
<ci>OHe</ci>
</apply>
<apply>
<times/>
<ci>Cle</ci>
<ci>K_OH</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>c</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_Cl</ci>
<ci>Cli</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Cl</ci>
<ci>OHi</ci>
</apply>
<apply>
<times/>
<ci>Cli</ci>
<ci>K_OH</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_OH</ci>
<ci>OHi</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_OH</ci>
<ci>Cli</ci>
</apply>
<apply>
<times/>
<ci>OHi</ci>
<ci>K_Cl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s1</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>a</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>d</ci>
<apply>
<plus/>
<ci>kp1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>a</ci>
</apply>
<ci>b</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>km1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>km2</ci>
<ci>d</ci>
</apply>
<ci>c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s6</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>d</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>a</ci>
<apply>
<plus/>
<ci>km1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>km2</ci>
<ci>d</ci>
</apply>
<ci>c</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>kp1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>a</ci>
</apply>
<ci>b</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_che</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>V_myo</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>km1</ci>
<ci>s6</ci>
</apply>
<apply>
<times/>
<ci>kp1</ci>
<ci>s1</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">60</cn>
<cn cellml:units="dimensionless">1000</cn>
</apply>
</apply>
<ci>Q_10Scaler</ci>
</apply>
</apply>
</math>
</component>
<component name="comp_v_nbc">
<variable units="dimensionless" public_interface="in" name="pH_i"/>
<variable units="dimensionless" public_interface="in" name="pH_e"/>
<variable units="mM" public_interface="in" name="HCO3e"/>
<variable units="mM" public_interface="in" name="HCO3i"/>
<variable units="mM" public_interface="in" name="Nae"/>
<variable units="mM" public_interface="in" name="Nai"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="mM_per_ms" public_interface="out" name="v_nbc"/>
<variable units="mM" name="K_Na" initial_value="4866.11"/>
<variable units="mM" name="K_HCO3" initial_value="0.008017"/>
<variable units="per_min" name="kp1" initial_value="4677"/>
<variable units="per_min" name="km1" initial_value="777.92"/>
<variable units="per_min" name="kp2" initial_value="6.656"/>
<variable units="per_min" name="km2"/>
<variable units="mM" name="K_Hi" initial_value="0.000183"/>
<variable units="dimensionless" name="n_Hi" initial_value="2.91"/>
<variable units="mM" name="K_He" initial_value="6.53e-5"/>
<variable units="dimensionless" name="n_He" initial_value="2.18"/>
<variable units="mM" name="He"/>
<variable units="mM" name="Hi"/>
<variable units="dimensionless" name="a"/>
<variable units="dimensionless" name="b"/>
<variable units="dimensionless" name="c"/>
<variable units="dimensionless" name="d"/>
<variable units="dimensionless" name="s1"/>
<variable units="dimensionless" name="s6"/>
<variable units="dimensionless" name="reg"/>
<variable units="dimensionless" name="Q_10Scaler" initial_value="0.35"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>km2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>km1</ci>
</apply>
<ci>kp1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>a</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Nae</ci>
<ci>K_Na</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Nae</ci>
<ci>HCO3e</ci>
</apply>
<apply>
<times/>
<ci>K_Na</ci>
<ci>K_HCO3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>b</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_HCO3</ci>
<ci>HCO3e</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>K_HCO3</ci>
</apply>
<apply>
<times/>
<ci>HCO3e</ci>
<ci>Nae</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>c</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_HCO3</ci>
<ci>HCO3i</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>K_HCO3</ci>
</apply>
<apply>
<times/>
<ci>HCO3i</ci>
<ci>Nai</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Nai</ci>
<ci>K_Na</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Nai</ci>
<ci>HCO3i</ci>
</apply>
<apply>
<times/>
<ci>K_Na</ci>
<ci>K_HCO3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>He</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_e</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Hi</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s1</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>a</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>d</ci>
<apply>
<plus/>
<ci>kp1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>a</ci>
</apply>
<ci>b</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>km1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>km2</ci>
<ci>d</ci>
</apply>
<ci>c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s6</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>d</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>a</ci>
<apply>
<plus/>
<ci>km1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>km2</ci>
<ci>d</ci>
</apply>
<ci>c</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>kp1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>a</ci>
</apply>
<ci>b</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>reg</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<power/>
<ci>Hi</ci>
<ci>n_Hi</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Hi</ci>
<ci>n_Hi</ci>
</apply>
<apply>
<power/>
<ci>K_Hi</ci>
<ci>n_Hi</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<power/>
<ci>He</ci>
<ci>n_He</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>He</ci>
<ci>n_He</ci>
</apply>
<apply>
<power/>
<ci>K_He</ci>
<ci>n_He</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_nbc</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>V_myo</ci>
<ci>reg</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>km1</ci>
<ci>s6</ci>
</apply>
<apply>
<times/>
<ci>kp1</ci>
<ci>s1</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">60</cn>
<cn cellml:units="dimensionless">1000</cn>
</apply>
</apply>
<ci>Q_10Scaler</ci>
</apply>
</apply>
</math>
</component>
<component name="comp_v_ae">
<variable units="dimensionless" public_interface="in" name="ExtensionRatio"/>
<variable units="dimensionless" public_interface="in" name="pH_i"/>
<variable units="dimensionless" public_interface="in" name="pH_e"/>
<variable units="mM" public_interface="in" name="Cle"/>
<variable units="mM" public_interface="in" name="Cli"/>
<variable units="mM" public_interface="in" name="HCO3e"/>
<variable units="mM" public_interface="in" name="HCO3i"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="mM_per_ms" public_interface="out" name="v_ae"/>
<variable units="mM" name="K_Cl" initial_value="983.5"/>
<variable units="mM" name="K_HCO3" initial_value="110.64"/>
<variable units="per_min" name="kp1" initial_value="20789.9"/>
<variable units="per_min" name="km1" initial_value="21118.2"/>
<variable units="per_min" name="kp2" initial_value="21256.54"/>
<variable units="per_min" name="km2"/>
<variable units="mM" name="K_Hi" initial_value="2.67e-5"/>
<variable units="dimensionless" name="n_Hi" initial_value="5.11"/>
<variable units="mM" name="K_He" initial_value="0.000312"/>
<variable units="dimensionless" name="n_He" initial_value="1.44"/>
<variable units="mM" name="He"/>
<variable units="mM" name="Hi"/>
<variable units="dimensionless" name="a"/>
<variable units="dimensionless" name="b"/>
<variable units="dimensionless" name="c"/>
<variable units="dimensionless" name="d"/>
<variable units="dimensionless" name="s1"/>
<variable units="dimensionless" name="s6"/>
<variable units="dimensionless" name="reg"/>
<variable units="dimensionless" name="Q_10Scaler" initial_value="0.35"/>
<variable units="dimensionless" name="gamma_AE"/>
<variable units="mM" name="K_Hs"/>
<variable units="dimensionless" public_interface="in" name="pH_on"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>gamma_AE</ci>
<piecewise>
<piece>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">2.5</cn>
<apply>
<minus/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>pH_on</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">1</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>K_Hs</ci>
<apply>
<times/>
<ci>K_Hi</ci>
<ci>gamma_AE</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>km2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>km1</ci>
</apply>
<ci>kp1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>He</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_e</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Hi</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_HCO3</ci>
<ci>HCO3e</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_HCO3</ci>
<ci>Cle</ci>
</apply>
<apply>
<times/>
<ci>HCO3e</ci>
<ci>K_Cl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>b</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_Cl</ci>
<ci>Cle</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Cl</ci>
<ci>HCO3e</ci>
</apply>
<apply>
<times/>
<ci>Cle</ci>
<ci>K_HCO3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>c</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_Cl</ci>
<ci>Cli</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Cl</ci>
<ci>HCO3i</ci>
</apply>
<apply>
<times/>
<ci>Cli</ci>
<ci>K_HCO3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_HCO3</ci>
<ci>HCO3i</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_HCO3</ci>
<ci>Cli</ci>
</apply>
<apply>
<times/>
<ci>HCO3i</ci>
<ci>K_Cl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s1</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>a</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>d</ci>
<apply>
<plus/>
<ci>kp1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>a</ci>
</apply>
<ci>b</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>km1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>km2</ci>
<ci>d</ci>
</apply>
<ci>c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s6</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>d</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>a</ci>
<apply>
<plus/>
<ci>km1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>km2</ci>
<ci>d</ci>
</apply>
<ci>c</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>kp1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>kp2</ci>
<ci>a</ci>
</apply>
<ci>b</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>reg</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<power/>
<ci>K_Hs</ci>
<ci>n_Hi</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Hi</ci>
<ci>n_Hi</ci>
</apply>
<apply>
<power/>
<ci>K_Hs</ci>
<ci>n_Hi</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>He</ci>
<ci>n_He</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>He</ci>
<ci>n_He</ci>
</apply>
<apply>
<power/>
<ci>K_He</ci>
<ci>n_He</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_ae</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>V_myo</ci>
<ci>reg</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>km1</ci>
<ci>s6</ci>
</apply>
<apply>
<times/>
<ci>kp1</ci>
<ci>s1</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">60</cn>
<cn cellml:units="dimensionless">1000</cn>
</apply>
</apply>
<ci>Q_10Scaler</ci>
</apply>
</apply>
</math>
</component>
<component name="intracellular_ion_concentrations">
<variable units="uA_per_mm2" public_interface="in" name="I_Ko"/>
<variable units="mM" public_interface="out" name="Na_i" initial_value="10.9735342589175"/>
<variable units="mM" public_interface="out" name="K_i" initial_value="142.021261491871"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="uA_per_mm2" public_interface="in" name="i_Na"/>
<variable units="uA_per_mm2" public_interface="in" name="i_B_Na"/>
<variable units="uA_per_mm2" public_interface="in" name="I_NaCa"/>
<variable units="uA_per_mm2" public_interface="in" name="i_NaK"/>
<variable units="uA_per_mm2" public_interface="in" name="i_f_Na"/>
<variable units="uA_per_mm2" public_interface="in" name="i_f_K"/>
<variable units="uA_per_mm2" public_interface="in" name="i_B_K"/>
<variable units="uA_per_mm2" public_interface="in" name="i_K1"/>
<variable units="uA_per_mm2" public_interface="in" name="i_t"/>
<variable units="uA_per_mm2" public_interface="in" name="i_ss"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<variable units="uA_per_mm2" public_interface="in" name="I_SAC_Na"/>
<variable units="uA_per_mm2" public_interface="in" name="I_SAC_K"/>
<variable units="mM" public_interface="out" name="HCO3i" initial_value="15.1428688811927"/>
<variable units="mM" public_interface="out" name="HCO3e"/>
<variable units="mM" public_interface="out" name="CO2i" initial_value="1.23610845162584"/>
<variable units="mM" public_interface="out" name="CO2e"/>
<variable units="dimensionless" name="PP_co2e" initial_value="0.05"/>
<variable units="dimensionless" name="CO_2sol" initial_value="0.03253"/>
<variable units="dimensionless" name="P_atm" initial_value="760"/>
<variable units="per_ms" name="kf_co2hyd" initial_value="0.000365"/>
<variable units="per_mM_per_ms" name="kr_co2hyd" initial_value="0.481"/>
<variable units="mM_per_ms" public_interface="in" name="jco2"/>
<variable units="mM_per_ms" name="v_co2hyd"/>
<variable units="mm3" public_interface="in" name="V_SR"/>
<variable units="mM_per_ms" public_interface="in" name="v_ae"/>
<variable units="mM_per_ms" public_interface="in" name="v_nbc"/>
<variable units="mM_per_ms" public_interface="in" name="v_nhe"/>
<variable units="mM_per_ms" public_interface="in" name="v_che"/>
<variable units="dimensionless" public_interface="out" name="pH_i" initial_value="7.20905044774657"/>
<variable units="dimensionless" public_interface="out" name="pH_e" initial_value="7.4"/>
<variable units="mM" public_interface="out" name="Cli" initial_value="16.2285651746901"/>
<variable units="mM" public_interface="out" name="Cle" initial_value="126"/>
<variable units="dimensionless" name="pKa_ib1" initial_value="6.40013149605198"/>
<variable units="mM" name="ib1" initial_value="31.2044223705215"/>
<variable units="dimensionless" name="pKa_ib2" initial_value="7.48048792987277"/>
<variable units="mM" name="ib2" initial_value="6.84513535697271"/>
<variable units="dimensionless" name="beta_intr"/>
<variable units="dimensionless" name="pH_scale" initial_value="1"/>
<variable units="mM_per_ms" name="nai_Nak"/>
<variable units="mM_per_ms" name="nai_NHE"/>
<variable units="mM_per_ms" name="nai_NBC"/>
<variable units="mM_per_ms" name="nai_flux"/>
<variable units="mM_per_ms" name="nai_bg"/>
<variable units="mM_per_ms" name="K_Nak"/>
<variable units="mM_per_ms" name="K_flux"/>
<variable units="uA_per_mm2" public_interface="out" name="I_Cl"/>
<variable units="mV" name="E_Cl"/>
<variable units="mM_per_ms" name="g_Cl" initial_value="2e-5"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="millijoule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="uA_per_mm2" public_interface="out" name="I_H"/>
<variable units="mV" name="E_H"/>
<variable units="mM_per_ms" name="g_H" initial_value="4e-6"/>
<variable units="mM" name="H_o"/>
<variable units="mM" name="H_i"/>
<variable units="mM_per_ms" name="J_CO2" initial_value="0"/>
<variable units="uA_per_mm2" public_interface="in" name="i_Stim"/>
<variable units="mM_per_ms" name="nai_NaCa"/>
<variable units="mM_per_ms" name="nai_na"/>
<variable units="mM_per_ms" name="nai_total"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Cl</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cli</ci>
<ci>Cle</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_Cl</ci>
<apply>
<times/>
<ci>g_Cl</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Cl</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H_o</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_e</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H_i</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_H</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>H_o</ci>
<ci>H_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_H</ci>
<apply>
<times/>
<ci>g_H</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_H</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_Nak</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_NaK</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_flux</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_SAC_K</ci>
<ci>i_ss</ci>
<ci>I_Ko</ci>
<ci>i_t</ci>
<ci>i_K1</ci>
<ci>i_f_K</ci>
<apply>
<times/>
<ci>i_NaK</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<ci>i_B_K</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_flux</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_B_Na</ci>
<ci>I_SAC_Na</ci>
<ci>i_Na</ci>
<apply>
<times/>
<ci>I_NaCa</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaK</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>i_f_Na</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_total</ci>
<apply>
<plus/>
<ci>nai_flux</ci>
<ci>nai_NHE</ci>
<ci>nai_NBC</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_NHE</ci>
<apply>
<divide/>
<ci>v_nhe</ci>
<ci>V_myo</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_NBC</ci>
<apply>
<divide/>
<ci>v_nbc</ci>
<ci>V_myo</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_Nak</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_NaK</ci>
<cn cellml:units="dimensionless">3</cn>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_NaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_NaCa</ci>
<cn cellml:units="dimensionless">3</cn>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_na</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_Na</ci>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>nai_bg</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_f_Na</ci>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_intr</ci>
<apply>
<times/>
<apply>
<ln/>
<cn cellml:units="dimensionless">10</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<plus/>
<ci>pH_i</ci>
<ci>pKa_ib1</ci>
</apply>
</apply>
<ci>ib1</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>pH_i</ci>
</apply>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>pKa_ib1</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<plus/>
<ci>pH_i</ci>
<ci>pKa_ib2</ci>
</apply>
</apply>
<ci>ib2</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>pH_i</ci>
</apply>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>pKa_ib2</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CO2e</ci>
<apply>
<times/>
<ci>PP_co2e</ci>
<ci>CO_2sol</ci>
<ci>P_atm</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>HCO3e</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>kf_co2hyd</ci>
<ci>kr_co2hyd</ci>
</apply>
<ci>CO2e</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_e</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1e3</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_co2hyd</ci>
<apply>
<times/>
<apply>
<plus/>
<ci>V_myo</ci>
<ci>V_SR</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>kf_co2hyd</ci>
<ci>CO2i</ci>
</apply>
<apply>
<times/>
<ci>kr_co2hyd</ci>
<ci>HCO3i</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1e3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>HCO3i</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<ci>v_co2hyd</ci>
<apply>
<plus/>
<ci>V_myo</ci>
<ci>V_SR</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>v_nbc</ci>
<ci>v_ae</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>CO2i</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<divide/>
<ci>jco2</ci>
<ci>V_myo</ci>
</apply>
<apply>
<divide/>
<ci>v_co2hyd</ci>
<apply>
<plus/>
<ci>V_myo</ci>
<ci>V_SR</ci>
</apply>
</apply>
</apply>
<ci>J_CO2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>pH_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<minus/>
<ci>beta_intr</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_nhe</ci>
</apply>
<ci>v_che</ci>
</apply>
<ci>V_myo</ci>
</apply>
<apply>
<divide/>
<ci>v_co2hyd</ci>
<apply>
<plus/>
<ci>V_myo</ci>
<ci>V_SR</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>I_H</ci>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_i</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_B_Na</ci>
<ci>I_SAC_Na</ci>
<ci>i_Na</ci>
<apply>
<times/>
<ci>I_NaCa</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaK</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>i_f_Na</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<ci>v_nhe</ci>
<ci>v_nbc</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_i</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_Stim</ci>
<ci>I_SAC_K</ci>
<ci>i_ss</ci>
<ci>I_Ko</ci>
<ci>i_t</ci>
<ci>i_K1</ci>
<ci>i_f_K</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_NaK</ci>
</apply>
</apply>
<ci>i_B_K</ci>
</apply>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cli</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>I_Cl</ci>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>pH_scale</ci>
<apply>
<plus/>
<ci>v_che</ci>
<ci>v_ae</ci>
</apply>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="standard_ionic_concentrations">
<variable units="mM" public_interface="out" name="Na_o" initial_value="140"/>
<variable units="mM" public_interface="out" name="Ca_o" initial_value="2"/>
<variable units="mM" public_interface="out" name="K_o" initial_value="5.4"/>
</component>
<component name="SL_pump">
<variable units="mM_per_ms" name="g_pCa" initial_value="3.5e-6"/>
<variable units="mM" name="K_mpCa" initial_value="0.0005"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="uA_per_mm2" public_interface="out" name="I_pCa"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_pCa</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>g_pCa</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<plus/>
<ci>K_mpCa</ci>
<ci>Ca_i</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
</math>
</component>
<component name="Cab">
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="mM" public_interface="in" name="Ca_e"/>
<variable units="per_mV" public_interface="in" name="delta"/>
<variable units="mV" public_interface="out" name="E_Ca"/>
<variable units="uA_per_mm2" public_interface="out" name="I_Cab"/>
<variable units="mM_per_ms" name="g_Cab" initial_value="2.4216e-8"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Ca</ci>
<apply>
<divide/>
<apply>
<log/>
<apply>
<divide/>
<ci>Ca_e</ci>
<ci>Ca_i</ci>
</apply>
</apply>
<ci>delta</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_Cab</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_Cab</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
</math>
</component>
<component name="I_Ca_L">
<variable units="mM_per_ms_per_mm3" public_interface="in" name="J_LC"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="uA_per_mm2" public_interface="out" name="I_CaL"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_CaL</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>J_LC</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
</math>
</component>
<component name="NCX">
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="mM" name="K_mNa" initial_value="87.5"/>
<variable units="mM" name="K_mCa" initial_value="1.38"/>
<variable units="dimensionless" name="eta" initial_value="0.35"/>
<variable units="dimensionless" name="k_sat" initial_value="0.1"/>
<variable units="mM_per_ms" name="g_NCX" initial_value="0.0385"/>
<variable units="per_mV" public_interface="in" name="delta"/>
<variable units="mM" public_interface="in" name="Na_i"/>
<variable units="mM" public_interface="in" name="Na_e"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="mM" public_interface="in" name="Ca_e"/>
<variable units="uA_per_mm2" public_interface="out" name="I_NaCa"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="dimensionless" name="edv"/>
<variable units="dimensionless" name="edv2"/>
<variable units="mM3" name="Nai3"/>
<variable units="mM3" name="Nae3"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>edv</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>delta</ci>
<cn cellml:units="dimensionless">0.5</cn>
<ci>V</ci>
<ci>eta</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>edv2</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>delta</ci>
<cn cellml:units="dimensionless">0.5</cn>
<ci>V</ci>
<apply>
<minus/>
<ci>eta</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Nai3</ci>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Nae3</ci>
<apply>
<power/>
<ci>Na_e</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>I_NaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>g_NCX</ci>
<apply>
<times/>
<apply>
<plus/>
<ci>Nae3</ci>
<apply>
<power/>
<ci>K_mNa</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<plus/>
<ci>Ca_e</ci>
<ci>K_mCa</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>edv</ci>
<ci>Nai3</ci>
<ci>Ca_e</ci>
</apply>
<apply>
<times/>
<ci>edv2</ci>
<ci>Nae3</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>k_sat</ci>
<ci>edv2</ci>
</apply>
</apply>
</apply>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
<ci>A_cap</ci>
</apply>
</apply>
</math>
</component>
<component name="SERCA">
<variable units="mM_per_ms" name="g_SERCA" initial_value="0.00045"/>
<variable units="mM" name="K_SERCA" initial_value="0.0005"/>
<variable units="mM_per_ms" public_interface="out" name="I_SERCA"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_SERCA</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_SERCA</ci>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_SERCA</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ionic_concentrations">
<variable units="mM" public_interface="out" name="Ca_i" initial_value="8.60587059887361e-5"/>
<variable units="mM" public_interface="out" name="Ca_SR" initial_value="0.843733859307907"/>
<variable units="mM" public_interface="out" name="TRPN" initial_value="0.0670845085340179"/>
<variable units="mM" name="B_CMDN" initial_value="0.05"/>
<variable units="mM" name="K_CMDN" initial_value="0.00238"/>
<variable units="per_ms" name="g_SRl" initial_value="5.2e-6"/>
<variable units="dimensionless" public_interface="in" name="J_TPRN"/>
<variable units="uA_per_mm2" public_interface="in" name="I_NaCa"/>
<variable units="uA_per_mm2" public_interface="in" name="I_Cab"/>
<variable units="uA_per_mm2" public_interface="in" name="I_pCa"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="mm3" public_interface="in" name="V_SR"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="mM_per_ms_per_mm3" public_interface="in" name="J_RY"/>
<variable units="uA_per_mm2" public_interface="in" name="I_CaL"/>
<variable units="mM_per_ms" public_interface="in" name="I_SERCA"/>
<variable units="mM_per_ms" name="J_SR"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="mm2" public_interface="in" name="A_cap"/>
<variable units="mM" public_interface="out" name="Ca_b"/>
<variable units="mM" public_interface="in" name="B_TRPN"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Ca_b</ci>
<apply>
<minus/>
<ci>B_TRPN</ci>
<ci>TRPN</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_SR</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>J_RY</ci>
</apply>
<ci>I_SERCA</ci>
</apply>
<apply>
<times/>
<ci>g_SRl</ci>
<apply>
<minus/>
<ci>Ca_SR</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_SR</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>V_myo</ci>
<ci>V_SR</ci>
</apply>
<ci>J_SR</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>B_CMDN</ci>
<ci>K_CMDN</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>K_CMDN</ci>
</apply>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>K_CMDN</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>J_TPRN</ci>
<ci>J_SR</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>I_NaCa</ci>
</apply>
<ci>I_pCa</ci>
</apply>
<ci>I_Cab</ci>
</apply>
<ci>I_CaL</ci>
</apply>
<ci>A_cap</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>TRPN</ci>
</apply>
<ci>J_TPRN</ci>
</apply>
</math>
</component>
<component name="Ca_conductances">
<variable units="mm3_per_ms" public_interface="out" name="g_D" initial_value="6.5e-11"/>
<variable units="mm3_per_ms" public_interface="out" name="J_R" initial_value="2e-11"/>
<variable units="mm3_per_ms" public_interface="out" name="J_L" initial_value="9.13e-13"/>
</component>
<component name="Ca_voltage">
<variable units="per_mV" public_interface="out" name="delta" initial_value="0.075"/>
<variable units="dimensionless" public_interface="out" name="expmdV"/>
<variable units="dimensionless" public_interface="out" name="expVL"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="mV" public_interface="out" name="dV"/>
<variable units="mV" name="V_L0" initial_value="-2"/>
<variable units="mV" name="delta_VL" initial_value="7"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>dV</ci>
<apply>
<times/>
<ci>delta</ci>
<ci>V</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>expmdV</ci>
<apply>
<exp/>
<apply>
<minus/>
<ci>dV</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>expVL</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<ci>V_L0</ci>
</apply>
<ci>delta_VL</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="C_ij">
<variable units="mM" public_interface="out" name="C_cc"/>
<variable units="mM" public_interface="out" name="C_oc"/>
<variable units="mM" public_interface="out" name="C_co"/>
<variable units="mM" public_interface="out" name="C_oo"/>
<variable units="mm3_per_ms" public_interface="in" name="g_D"/>
<variable units="mm3_per_ms" public_interface="in" name="J_R"/>
<variable units="mm3_per_ms" public_interface="in" name="J_L"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="mM" public_interface="in" name="Ca_SR"/>
<variable units="mV" public_interface="in" name="dV"/>
<variable units="dimensionless" public_interface="in" name="expmdV"/>
<variable units="mM" public_interface="in" name="Ca_e"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>C_cc</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<eq/>
<ci>C_co</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<ci>Ca_SR</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C_oc</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>Ca_e</ci>
<ci>dV</ci>
<ci>expmdV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>dV</ci>
</apply>
<cn cellml:units="dimensionless">0.000000001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>Ca_e</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>C_oo</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<ci>Ca_SR</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>Ca_e</ci>
<ci>dV</ci>
<ci>expmdV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>dV</ci>
</apply>
<cn cellml:units="dimensionless">0.000000001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<ci>Ca_SR</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>Ca_e</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="J_ij">
<variable units="mM_per_ms" public_interface="out" name="J_Loo"/>
<variable units="mM_per_ms" public_interface="out" name="J_Loc"/>
<variable units="mM_per_ms" public_interface="out" name="J_Rco"/>
<variable units="mM_per_ms" public_interface="out" name="J_Roo"/>
<variable units="mm3_per_ms" public_interface="in" name="g_D"/>
<variable units="mm3_per_ms" public_interface="in" name="J_R"/>
<variable units="mm3_per_ms" public_interface="in" name="J_L"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="mM" public_interface="in" name="Ca_SR"/>
<variable units="mV" public_interface="in" name="dV"/>
<variable units="dimensionless" public_interface="in" name="expmdV"/>
<variable units="mM" public_interface="in" name="Ca_e"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_Rco</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_R</ci>
<apply>
<minus/>
<ci>Ca_SR</ci>
<ci>Ca_i</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Roo</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>J_R</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>Ca_SR</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Ca_SR</ci>
<apply>
<times/>
<ci>Ca_e</ci>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>dV</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<ci>J_R</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>Ca_SR</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<ci>Ca_SR</ci>
<apply>
<times/>
<ci>Ca_e</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>J_Loc</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_e</ci>
<ci>expmdV</ci>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>dV</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_e</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>J_Loo</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_e</ci>
<ci>expmdV</ci>
</apply>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_e</ci>
<ci>expmdV</ci>
</apply>
<ci>Ca_SR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>dV</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>expmdV</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>dV</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_e</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_e</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
<ci>Ca_SR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="Ca_tau">
<variable units="ms" public_interface="out" name="t_R"/>
<variable units="ms" public_interface="out" name="t_L" initial_value="1"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>t_R</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.17</cn>
<ci>t_L</ci>
</apply>
</apply>
</math>
</component>
<component name="epsilon">
<variable units="per_ms" public_interface="out" name="epsilon_m"/>
<variable units="per_ms" public_interface="out" name="epsilon_pco"/>
<variable units="per_ms" public_interface="out" name="epsilon_pcc"/>
<variable units="dimensionless" name="a" initial_value="0.0625"/>
<variable units="dimensionless" name="b" initial_value="14"/>
<variable units="ms" name="tau_L" initial_value="650"/>
<variable units="mM" name="K_L" initial_value="0.00022"/>
<variable units="mM" public_interface="in" name="C_co"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="dimensionless" public_interface="in" name="expVL"/>
<variable units="ms" public_interface="in" name="t_L"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>epsilon_pco</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>tau_L</ci>
</apply>
<ci>C_co</ci>
</apply>
<ci>K_L</ci>
</apply>
<apply>
<plus/>
<ci>expVL</ci>
<ci>a</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>expVL</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>epsilon_pcc</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>tau_L</ci>
</apply>
<ci>Ca_i</ci>
</apply>
<ci>K_L</ci>
</apply>
<apply>
<plus/>
<ci>expVL</ci>
<ci>a</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>expVL</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>epsilon_m</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>tau_L</ci>
</apply>
<ci>b</ci>
<apply>
<plus/>
<ci>expVL</ci>
<ci>a</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>b</ci>
<ci>expVL</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="alpha">
<variable units="per_ms" public_interface="out" name="alpha_p"/>
<variable units="per_ms" public_interface="out" name="alpha_m"/>
<variable units="dimensionless" public_interface="in" name="expVL"/>
<variable units="ms" public_interface="in" name="t_L"/>
<variable units="dimensionless" name="phi_L" initial_value="2.35"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_p</ci>
<apply>
<divide/>
<ci>expVL</ci>
<apply>
<times/>
<ci>t_L</ci>
<apply>
<plus/>
<ci>expVL</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_m</ci>
<apply>
<divide/>
<ci>phi_L</ci>
<ci>t_L</ci>
</apply>
</apply>
</math>
</component>
<component name="RyR_param">
<variable units="dimensionless" public_interface="out" name="phi_R"/>
<variable units="dimensionless" name="phi_R_base" initial_value="0.05"/>
<variable units="ms" public_interface="out" name="tau_R" initial_value="2.43"/>
<variable units="dimensionless" public_interface="out" name="theta_R" initial_value="0.012"/>
<variable units="mM" public_interface="out" name="K_RyR" initial_value="0.041"/>
<variable units="dimensionless" public_interface="in" name="ExtensionRatio"/>
<variable units="dimensionless" name="gamma_NO"/>
<variable units="dimensionless" public_interface="in" name="NO_on"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>gamma_NO</ci>
<piecewise>
<piece>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">22.41</cn>
<apply>
<minus/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>NO_on</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">1</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>phi_R</ci>
<apply>
<times/>
<ci>phi_R_base</ci>
<ci>gamma_NO</ci>
</apply>
</apply>
</math>
</component>
<component name="beta">
<variable units="per_ms" public_interface="out" name="beta_poc"/>
<variable units="per_ms" public_interface="out" name="beta_pcc"/>
<variable units="per_ms" public_interface="out" name="beta_m"/>
<variable units="mM" public_interface="in" name="K_RyR"/>
<variable units="dimensionless" public_interface="in" name="phi_R"/>
<variable units="ms" public_interface="in" name="tau_R"/>
<variable units="dimensionless" public_interface="in" name="theta_R"/>
<variable units="ms" public_interface="in" name="t_R"/>
<variable units="mM" public_interface="in" name="C_oc"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>beta_poc</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>t_R</ci>
</apply>
<apply>
<power/>
<ci>C_oc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>C_oc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_pcc</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>t_R</ci>
</apply>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<divide/>
<ci>phi_R</ci>
<ci>t_R</ci>
</apply>
</apply>
</math>
</component>
<component name="mu_ij">
<variable units="per_ms" public_interface="out" name="mu_poc"/>
<variable units="per_ms" public_interface="out" name="mu_pcc"/>
<variable units="per_ms" public_interface="out" name="mu_moc"/>
<variable units="per_ms" public_interface="out" name="mu_mcc"/>
<variable units="dimensionless" public_interface="in" name="phi_R"/>
<variable units="ms" public_interface="in" name="tau_R"/>
<variable units="mM" public_interface="in" name="C_oc"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="mM" public_interface="in" name="K_RyR"/>
<variable units="dimensionless" name="c" initial_value="0.01"/>
<variable units="dimensionless" name="d" initial_value="100"/>
<variable units="dimensionless" public_interface="in" name="theta_R"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_poc</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>tau_R</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>C_oc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>c</ci>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>C_oc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_pcc</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>tau_R</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>c</ci>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_moc</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>theta_R</ci>
<ci>tau_R</ci>
</apply>
<ci>d</ci>
<apply>
<plus/>
<apply>
<power/>
<ci>C_oc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>c</ci>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>d</ci>
<apply>
<power/>
<ci>C_oc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>c</ci>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_mcc</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>theta_R</ci>
<ci>tau_R</ci>
</apply>
<ci>d</ci>
<apply>
<plus/>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>c</ci>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>d</ci>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>c</ci>
<apply>
<power/>
<ci>K_RyR</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="y_ij">
<variable units="dimensionless" public_interface="out" name="y_oc"/>
<variable units="dimensionless" public_interface="out" name="y_co"/>
<variable units="dimensionless" public_interface="out" name="y_oo"/>
<variable units="dimensionless" public_interface="out" name="y_cc"/>
<variable units="per_ms3" name="denom"/>
<variable units="per_ms" public_interface="in" name="alpha_p"/>
<variable units="per_ms" public_interface="in" name="alpha_m"/>
<variable units="per_ms" public_interface="in" name="beta_pcc"/>
<variable units="per_ms" public_interface="in" name="beta_poc"/>
<variable units="per_ms" public_interface="in" name="beta_m"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>denom</ci>
<apply>
<times/>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_poc</ci>
<ci>alpha_m</ci>
</apply>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
<apply>
<times/>
<ci>alpha_p</ci>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_poc</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>y_oc</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_p</ci>
<ci>beta_m</ci>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>y_co</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_m</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_pcc</ci>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
<ci>beta_poc</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_poc</ci>
<ci>alpha_p</ci>
</apply>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>y_oo</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_p</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_poc</ci>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_pcc</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>y_cc</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>alpha_p</ci>
<ci>beta_m</ci>
<ci>beta_poc</ci>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
</math>
</component>
<component name="r_i">
<variable units="per_ms" public_interface="out" name="r_1"/>
<variable units="per_ms" public_interface="out" name="r_2"/>
<variable units="per_ms" public_interface="out" name="r_3"/>
<variable units="per_ms" public_interface="out" name="r_4"/>
<variable units="per_ms" public_interface="out" name="r_5"/>
<variable units="per_ms" public_interface="out" name="r_6"/>
<variable units="per_ms" public_interface="out" name="r_7"/>
<variable units="per_ms" public_interface="out" name="r_8"/>
<variable units="dimensionless" public_interface="in" name="y_oc"/>
<variable units="dimensionless" public_interface="in" name="y_cc"/>
<variable units="dimensionless" public_interface="in" name="y_co"/>
<variable units="per_ms" public_interface="in" name="mu_poc"/>
<variable units="per_ms" public_interface="in" name="mu_pcc"/>
<variable units="per_ms" public_interface="in" name="mu_moc"/>
<variable units="per_ms" public_interface="in" name="mu_mcc"/>
<variable units="per_ms" public_interface="in" name="alpha_p"/>
<variable units="per_ms" public_interface="in" name="alpha_m"/>
<variable units="per_ms" public_interface="in" name="beta_pcc"/>
<variable units="per_ms" public_interface="in" name="beta_m"/>
<variable units="per_ms" public_interface="in" name="epsilon_m"/>
<variable units="per_ms" public_interface="in" name="epsilon_pco"/>
<variable units="per_ms" public_interface="in" name="epsilon_pcc"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>r_1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>y_oc</ci>
<ci>mu_poc</ci>
</apply>
<apply>
<times/>
<ci>y_cc</ci>
<ci>mu_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_2</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_p</ci>
<ci>mu_moc</ci>
</apply>
<apply>
<times/>
<ci>alpha_m</ci>
<ci>mu_mcc</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_3</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>beta_m</ci>
<ci>mu_pcc</ci>
</apply>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_4</ci>
<ci>mu_mcc</ci>
</apply>
<apply>
<eq/>
<ci>r_5</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>y_co</ci>
<ci>epsilon_pco</ci>
</apply>
<apply>
<times/>
<ci>y_cc</ci>
<ci>epsilon_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_6</ci>
<ci>epsilon_m</ci>
</apply>
<apply>
<eq/>
<ci>r_7</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_m</ci>
<ci>epsilon_pcc</ci>
</apply>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_8</ci>
<ci>epsilon_m</ci>
</apply>
</math>
</component>
<component name="z_i">
<variable units="dimensionless" public_interface="out" name="z_1" initial_value="0.988955429362334"/>
<variable units="dimensionless" public_interface="out" name="z_2" initial_value="0.00860686643357905"/>
<variable units="dimensionless" public_interface="out" name="z_3" initial_value="0.00241692704700704"/>
<variable units="dimensionless" public_interface="out" name="z_4"/>
<variable units="per_ms" public_interface="in" name="r_1"/>
<variable units="per_ms" public_interface="in" name="r_2"/>
<variable units="per_ms" public_interface="in" name="r_3"/>
<variable units="per_ms" public_interface="in" name="r_4"/>
<variable units="per_ms" public_interface="in" name="r_5"/>
<variable units="per_ms" public_interface="in" name="r_6"/>
<variable units="per_ms" public_interface="in" name="r_7"/>
<variable units="per_ms" public_interface="in" name="r_8"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>z_4</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>z_1</ci>
</apply>
<ci>z_2</ci>
</apply>
<ci>z_3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z_1</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>r_1</ci>
<ci>r_5</ci>
</apply>
</apply>
<ci>z_1</ci>
</apply>
<apply>
<times/>
<ci>r_2</ci>
<ci>z_2</ci>
</apply>
<apply>
<times/>
<ci>r_6</ci>
<ci>z_3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z_2</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>r_1</ci>
<ci>z_1</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>r_2</ci>
<ci>r_7</ci>
</apply>
<ci>z_2</ci>
</apply>
</apply>
<apply>
<times/>
<ci>r_8</ci>
<ci>z_4</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z_3</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>r_5</ci>
<ci>z_1</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>r_6</ci>
<ci>r_3</ci>
</apply>
<ci>z_3</ci>
</apply>
</apply>
<apply>
<times/>
<ci>r_4</ci>
<ci>z_4</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_values">
<variable units="mM_per_ms" public_interface="out" name="J_R1"/>
<variable units="mM_per_ms" public_interface="out" name="J_R3"/>
<variable units="mM_per_ms" public_interface="out" name="J_L1"/>
<variable units="mM_per_ms" public_interface="out" name="J_L2"/>
<variable units="mM_per_ms" public_interface="in" name="J_Roo"/>
<variable units="mM_per_ms" public_interface="in" name="J_Rco"/>
<variable units="mM_per_ms" public_interface="in" name="J_Loo"/>
<variable units="mM_per_ms" public_interface="in" name="J_Loc"/>
<variable units="dimensionless" public_interface="in" name="y_oo"/>
<variable units="dimensionless" public_interface="in" name="y_co"/>
<variable units="dimensionless" public_interface="in" name="y_oc"/>
<variable units="per_ms" public_interface="in" name="alpha_p"/>
<variable units="per_ms" public_interface="in" name="alpha_m"/>
<variable units="per_ms" public_interface="in" name="beta_pcc"/>
<variable units="per_ms" public_interface="in" name="beta_m"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_R1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>y_oo</ci>
<ci>J_Roo</ci>
</apply>
<apply>
<times/>
<ci>J_Rco</ci>
<ci>y_co</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_R3</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_Rco</ci>
<ci>beta_pcc</ci>
</apply>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_L1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>J_Loo</ci>
<ci>y_oo</ci>
</apply>
<apply>
<times/>
<ci>J_Loc</ci>
<ci>y_oc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_L2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_Loc</ci>
<ci>alpha_p</ci>
</apply>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_flux">
<variable units="mM_per_ms_per_mm3" public_interface="out" name="J_LC"/>
<variable units="dimensionless" public_interface="in" name="z_1"/>
<variable units="dimensionless" public_interface="in" name="z_2"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="dimensionless" public_interface="in" name="N"/>
<variable units="mM_per_ms" public_interface="in" name="J_L1"/>
<variable units="mM_per_ms" public_interface="in" name="J_L2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_LC</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci>z_1</ci>
<ci>J_L1</ci>
</apply>
<apply>
<times/>
<ci>z_2</ci>
<ci>J_L2</ci>
</apply>
</apply>
<ci>N</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</math>
</component>
<component name="R_flux">
<variable units="mM_per_ms_per_mm3" public_interface="out" name="J_RY"/>
<variable units="dimensionless" public_interface="in" name="z_1"/>
<variable units="dimensionless" public_interface="in" name="z_3"/>
<variable units="mm3" public_interface="in" name="V_myo"/>
<variable units="dimensionless" public_interface="in" name="N"/>
<variable units="mM_per_ms" public_interface="in" name="J_R1"/>
<variable units="mM_per_ms" public_interface="in" name="J_R3"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_RY</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci>z_1</ci>
<ci>J_R1</ci>
</apply>
<apply>
<times/>
<ci>z_3</ci>
<ci>J_R3</ci>
</apply>
</apply>
<ci>N</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</math>
</component>
<component name="troponin">
<variable units="dimensionless" public_interface="out" name="J_TPRN"/>
<variable units="mM" public_interface="out" name="B_TRPN" initial_value="0.07"/>
<variable units="mM" public_interface="in" name="TRPN"/>
<variable units="mM" public_interface="in" name="Ca_i"/>
<variable units="per_ms" name="betaCab"/>
<variable units="per_mM_per_ms" public_interface="out" name="k_on" initial_value="100"/>
<variable units="per_ms" public_interface="out" name="k_off" initial_value="0.2"/>
<variable units="dimensionless" public_interface="out" name="gamma_trpn" initial_value="2"/>
<variable units="mM" public_interface="out" name="TRPN_tot" initial_value="0.07"/>
<variable units="N_per_mm2" public_interface="in" name="Tension"/>
<variable units="N_per_mm2" public_interface="in" name="T_ref"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>betaCab</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>k_off</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Tension</ci>
<apply>
<times/>
<ci>gamma_trpn</ci>
<ci>T_ref</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Tension</ci>
<apply>
<times/>
<ci>gamma_trpn</ci>
<ci>T_ref</ci>
</apply>
</apply>
</apply>
<cn cellml:units="per_ms">0.1</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<ci>k_off</ci>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>J_TPRN</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>B_TRPN</ci>
<ci>TRPN</ci>
</apply>
<ci>betaCab</ci>
</apply>
<apply>
<times/>
<ci>Ca_i</ci>
<ci>TRPN</ci>
<ci>k_on</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Myofilaments">
<variable units="ms" public_interface="in" name="time"/>
<variable units="dimensionless" public_interface="out" name="lamda"/>
<variable units="dimensionless" public_interface="out" name="ExtensionRatio" initial_value="1"/>
<variable units="per_ms" public_interface="out" name="dExtensionRatiodt"/>
<variable units="dimensionless" public_interface="out" name="lambda_prev"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>lambda_prev</ci>
<ci>ExtensionRatio</ci>
</apply>
<apply>
<eq/>
<ci>dExtensionRatiodt</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<eq/>
<ci>lamda</ci>
<piecewise>
<piece>
<ci>ExtensionRatio</ci>
<apply>
<and/>
<apply>
<gt/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">0.8</cn>
</apply>
<apply>
<leq/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">1.15</cn>
</apply>
</apply>
</piece>
<piece>
<cn cellml:units="dimensionless">1.15</cn>
<apply>
<gt/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">1.15</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">0.8</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="thinfilaments"/>
<component name="tropomyosin">
<variable units="dimensionless" public_interface="out" name="z" initial_value="0.0175189833295748"/>
<variable units="dimensionless" public_interface="out" name="z_max"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="per_mM_per_ms" public_interface="in" name="k_on"/>
<variable units="per_ms" public_interface="in" name="k_off"/>
<variable units="dimensionless" public_interface="in" name="gamma_trpn"/>
<variable units="mM" public_interface="in" name="TRPN_tot"/>
<variable units="per_ms" name="alpha_0" initial_value="0.008"/>
<variable units="per_ms" name="alpha_r1" initial_value="0.002"/>
<variable units="per_ms" name="alpha_r2" initial_value="0.00175"/>
<variable units="dimensionless" name="n_Rel" initial_value="3"/>
<variable units="dimensionless" name="K_z" initial_value="0.15"/>
<variable units="dimensionless" name="n_Hill" initial_value="3"/>
<variable units="mM" name="Ca_50ref" initial_value="0.00105"/>
<variable units="dimensionless" name="z_p" initial_value="0.85"/>
<variable units="dimensionless" name="beta_1" initial_value="-4"/>
<variable units="mM" name="Ca_50"/>
<variable units="mM" name="Ca_TRPN_50"/>
<variable units="dimensionless" name="K_2"/>
<variable units="dimensionless" name="K_1"/>
<variable units="per_ms" name="alpha_Tm"/>
<variable units="per_ms" name="beta_Tm"/>
<variable units="dimensionless" public_interface="in" name="beta_0"/>
<variable units="mM" public_interface="in" name="Ca_b"/>
<variable units="dimensionless" public_interface="in" name="lamda"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>K_2</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_r2</ci>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>n_Rel</ci>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_r2</ci>
<apply>
<power/>
<ci>z_p</ci>
<apply>
<minus/>
<ci>n_Rel</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<ci>n_Rel</ci>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>z_max</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<divide/>
<ci>alpha_0</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_TRPN_50</ci>
<ci>TRPN_tot</ci>
</apply>
<ci>n_Hill</ci>
</apply>
</apply>
<ci>K_2</ci>
</apply>
<apply>
<plus/>
<ci>alpha_r1</ci>
<ci>K_1</ci>
<apply>
<divide/>
<ci>alpha_0</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_TRPN_50</ci>
<ci>TRPN_tot</ci>
</apply>
<ci>n_Hill</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_50</ci>
<apply>
<times/>
<ci>Ca_50ref</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>beta_1</ci>
<apply>
<minus/>
<ci>lamda</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_TRPN_50</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_50</ci>
<ci>TRPN_tot</ci>
</apply>
<apply>
<plus/>
<ci>Ca_50</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>k_off</ci>
<ci>k_on</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>beta_0</ci>
<apply>
<minus/>
<ci>lamda</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
<ci>gamma_trpn</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Tm</ci>
<apply>
<times/>
<ci>alpha_0</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_b</ci>
<ci>Ca_TRPN_50</ci>
</apply>
<ci>n_Hill</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Tm</ci>
<apply>
<plus/>
<ci>alpha_r1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_r2</ci>
<apply>
<power/>
<ci>z</ci>
<apply>
<minus/>
<ci>n_Rel</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>z</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Tm</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>z</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Tm</ci>
<ci>z</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="filament_overlap">
<variable units="dimensionless" public_interface="in" name="lamda"/>
<variable units="dimensionless" public_interface="out" name="overlap"/>
<variable units="dimensionless" public_interface="out" name="beta_0" initial_value="4.9"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>overlap</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>beta_0</ci>
<apply>
<minus/>
<ci>lamda</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="length_independent_tension">
<variable units="N_per_mm2" public_interface="out" name="T_ref" initial_value="56.2"/>
<variable units="N_per_mm2" public_interface="out" name="T_Base"/>
<variable units="dimensionless" public_interface="in" name="z"/>
<variable units="dimensionless" public_interface="in" name="z_max"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>T_Base</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>T_ref</ci>
<ci>z</ci>
</apply>
<ci>z_max</ci>
</apply>
</apply>
</math>
</component>
<component name="isometric_tension">
<variable units="N_per_mm2" public_interface="out" name="T_0"/>
<variable units="N_per_mm2" public_interface="in" name="T_Base"/>
<variable units="dimensionless" public_interface="in" name="overlap"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>T_0</ci>
<apply>
<times/>
<ci>T_Base</ci>
<ci>overlap</ci>
</apply>
</apply>
</math>
</component>
<component name="Cross_Bridges">
<variable units="ms" public_interface="in" name="time"/>
<variable units="per_ms" public_interface="in" name="dExtensionRatiodt"/>
<variable units="dimensionless" name="Q"/>
<variable units="dimensionless" name="a" initial_value="0.35"/>
<variable units="dimensionless" name="Q_1" initial_value="0"/>
<variable units="dimensionless" name="Q_2" initial_value="0"/>
<variable units="dimensionless" name="Q_3" initial_value="0"/>
<variable units="dimensionless" name="A_1" initial_value="-29"/>
<variable units="dimensionless" name="A_2" initial_value="138"/>
<variable units="dimensionless" name="A_3" initial_value="129"/>
<variable units="dimensionless" name="alpha_1" initial_value="0.03"/>
<variable units="dimensionless" name="alpha_2" initial_value="0.13"/>
<variable units="dimensionless" name="alpha_3" initial_value="0.625"/>
<variable units="N_per_mm2" public_interface="in" name="T_0"/>
<variable units="N_per_mm2" public_interface="out" name="Tension"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Q</ci>
<apply>
<plus/>
<ci>Q_1</ci>
<ci>Q_2</ci>
<ci>Q_3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Tension</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>T_0</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>a</ci>
<ci>Q</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Q</ci>
</apply>
</apply>
<apply>
<lt/>
<ci>Q</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<ci>T_0</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<apply>
<plus/>
<ci>a</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>Q</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Q</ci>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_1</ci>
<ci>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_1</ci>
<ci>Q_1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_2</ci>
<ci>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_2</ci>
<ci>Q_2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_3</ci>
<ci>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_3</ci>
<ci>Q_3</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Calcium_Handling"/>
<component name="Calcium_membrane"/>
<component name="pH_regulation"/>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="Myofilaments">
<component_ref component="thinfilaments">
<component_ref component="tropomyosin"/>
<component_ref component="troponin"/>
</component_ref>
<component_ref component="filament_overlap"/>
<component_ref component="Cross_Bridges"/>
<component_ref component="isometric_tension"/>
<component_ref component="length_independent_tension"/>
</component_ref>
<component_ref component="pH_regulation">
<component_ref component="comp_v_nhe_exchanger"/>
<component_ref component="comp_v_che_exchanger"/>
<component_ref component="comp_v_nbc"/>
<component_ref component="comp_v_ae"/>
<component_ref component="J_CO2"/>
</component_ref>
<component_ref component="membrane">
<component_ref component="KSA_current"/>
<component_ref component="SAC_current"/>
<component_ref component="sodium_current">
<component_ref component="sodium_current_m_gate"/>
<component_ref component="sodium_current_h_gate"/>
<component_ref component="sodium_current_j_gate"/>
</component_ref>
<component_ref component="Ca_independent_transient_outward_K_current">
<component_ref component="Ca_independent_transient_outward_K_current_r_gate"/>
<component_ref component="Ca_independent_transient_outward_K_current_s_gate"/>
<component_ref component="Ca_independent_transient_outward_K_current_s_slow_gate"/>
</component_ref>
<component_ref component="steady_state_outward_K_current">
<component_ref component="steady_state_outward_K_current_r_ss_gate"/>
<component_ref component="steady_state_outward_K_current_s_ss_gate"/>
</component_ref>
<component_ref component="inward_rectifier"/>
<component_ref component="hyperpolarisation_activated_current">
<component_ref component="hyperpolarisation_activated_current_y_gate"/>
</component_ref>
<component_ref component="background_currents"/>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="intracellular_ion_concentrations"/>
<component_ref component="standard_ionic_concentrations"/>
<component_ref component="I_stimulus"/>
</component_ref>
<component_ref component="Calcium_membrane">
<component_ref component="SL_pump"/>
<component_ref component="Cab"/>
<component_ref component="NCX"/>
<component_ref component="I_Ca_L"/>
</component_ref>
<component_ref component="Calcium_Handling">
<component_ref component="SERCA"/>
<component_ref component="L_flux"/>
<component_ref component="R_flux"/>
<component_ref component="z_i"/>
<component_ref component="r_i"/>
<component_ref component="mu_ij"/>
<component_ref component="C_ij"/>
<component_ref component="J_ij"/>
<component_ref component="epsilon"/>
<component_ref component="beta"/>
<component_ref component="alpha"/>
<component_ref component="J_values"/>
<component_ref component="y_ij"/>
<component_ref component="RyR_param"/>
<component_ref component="Ca_voltage"/>
<component_ref component="Ca_conductances"/>
<component_ref component="Ca_tau"/>
<component_ref component="ionic_concentrations"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="sodium_current">
<component_ref component="sodium_current_m_gate"/>
<component_ref component="sodium_current_h_gate"/>
<component_ref component="sodium_current_j_gate"/>
</component_ref>
<component_ref component="Ca_independent_transient_outward_K_current">
<component_ref component="Ca_independent_transient_outward_K_current_r_gate"/>
<component_ref component="Ca_independent_transient_outward_K_current_s_gate"/>
<component_ref component="Ca_independent_transient_outward_K_current_s_slow_gate"/>
</component_ref>
<component_ref component="steady_state_outward_K_current">
<component_ref component="steady_state_outward_K_current_r_ss_gate"/>
<component_ref component="steady_state_outward_K_current_s_ss_gate"/>
</component_ref>
<component_ref component="hyperpolarisation_activated_current">
<component_ref component="hyperpolarisation_activated_current_y_gate"/>
</component_ref>
</group>
<connection>
<map_components component_2="membrane" component_1="Ca_voltage"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="C_ij" component_1="Ca_conductances"/>
<map_variables variable_2="g_D" variable_1="g_D"/>
<map_variables variable_2="J_R" variable_1="J_R"/>
<map_variables variable_2="J_L" variable_1="J_L"/>
</connection>
<connection>
<map_components component_2="J_ij" component_1="Ca_conductances"/>
<map_variables variable_2="g_D" variable_1="g_D"/>
<map_variables variable_2="J_R" variable_1="J_R"/>
<map_variables variable_2="J_L" variable_1="J_L"/>
</connection>
<connection>
<map_components component_2="C_ij" component_1="ionic_concentrations"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Ca_SR" variable_1="Ca_SR"/>
</connection>
<connection>
<map_components component_2="C_ij" component_1="standard_ionic_concentrations"/>
<map_variables variable_2="Ca_e" variable_1="Ca_o"/>
</connection>
<connection>
<map_components component_2="J_ij" component_1="ionic_concentrations"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Ca_SR" variable_1="Ca_SR"/>
</connection>
<connection>
<map_components component_2="J_ij" component_1="standard_ionic_concentrations"/>
<map_variables variable_2="Ca_e" variable_1="Ca_o"/>
</connection>
<connection>
<map_components component_2="J_ij" component_1="Ca_voltage"/>
<map_variables variable_2="dV" variable_1="dV"/>
<map_variables variable_2="expmdV" variable_1="expmdV"/>
</connection>
<connection>
<map_components component_2="C_ij" component_1="Ca_voltage"/>
<map_variables variable_2="dV" variable_1="dV"/>
<map_variables variable_2="expmdV" variable_1="expmdV"/>
</connection>
<connection>
<map_components component_2="C_ij" component_1="epsilon"/>
<map_variables variable_2="C_co" variable_1="C_co"/>
</connection>
<connection>
<map_components component_2="ionic_concentrations" component_1="epsilon"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
</connection>
<connection>
<map_components component_2="Ca_voltage" component_1="epsilon"/>
<map_variables variable_2="expVL" variable_1="expVL"/>
</connection>
<connection>
<map_components component_2="Ca_tau" component_1="epsilon"/>
<map_variables variable_2="t_L" variable_1="t_L"/>
</connection>
<connection>
<map_components component_2="Ca_tau" component_1="alpha"/>
<map_variables variable_2="t_L" variable_1="t_L"/>
</connection>
<connection>
<map_components component_2="Ca_voltage" component_1="alpha"/>
<map_variables variable_2="expVL" variable_1="expVL"/>
</connection>
<connection>
<map_components component_2="RyR_param" component_1="beta"/>
<map_variables variable_2="phi_R" variable_1="phi_R"/>
<map_variables variable_2="tau_R" variable_1="tau_R"/>
<map_variables variable_2="theta_R" variable_1="theta_R"/>
<map_variables variable_2="K_RyR" variable_1="K_RyR"/>
</connection>
<connection>
<map_components component_2="ionic_concentrations" component_1="beta"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
</connection>
<connection>
<map_components component_2="C_ij" component_1="beta"/>
<map_variables variable_2="C_oc" variable_1="C_oc"/>
</connection>
<connection>
<map_components component_2="Ca_tau" component_1="beta"/>
<map_variables variable_2="t_R" variable_1="t_R"/>
</connection>
<connection>
<map_components component_2="RyR_param" component_1="mu_ij"/>
<map_variables variable_2="phi_R" variable_1="phi_R"/>
<map_variables variable_2="tau_R" variable_1="tau_R"/>
<map_variables variable_2="theta_R" variable_1="theta_R"/>
<map_variables variable_2="K_RyR" variable_1="K_RyR"/>
</connection>
<connection>
<map_components component_2="C_ij" component_1="mu_ij"/>
<map_variables variable_2="C_oc" variable_1="C_oc"/>
</connection>
<connection>
<map_components component_2="ionic_concentrations" component_1="mu_ij"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
</connection>
<connection>
<map_components component_2="y_ij" component_1="beta"/>
<map_variables variable_2="beta_pcc" variable_1="beta_pcc"/>
<map_variables variable_2="beta_poc" variable_1="beta_poc"/>
<map_variables variable_2="beta_m" variable_1="beta_m"/>
</connection>
<connection>
<map_components component_2="y_ij" component_1="alpha"/>
<map_variables variable_2="alpha_p" variable_1="alpha_p"/>
<map_variables variable_2="alpha_m" variable_1="alpha_m"/>
</connection>
<connection>
<map_components component_2="r_i" component_1="alpha"/>
<map_variables variable_2="alpha_p" variable_1="alpha_p"/>
<map_variables variable_2="alpha_m" variable_1="alpha_m"/>
</connection>
<connection>
<map_components component_2="r_i" component_1="beta"/>
<map_variables variable_2="beta_pcc" variable_1="beta_pcc"/>
<map_variables variable_2="beta_m" variable_1="beta_m"/>
</connection>
<connection>
<map_components component_2="y_ij" component_1="r_i"/>
<map_variables variable_2="y_oc" variable_1="y_oc"/>
<map_variables variable_2="y_cc" variable_1="y_cc"/>
<map_variables variable_2="y_co" variable_1="y_co"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="I_stimulus"/>
<map_variables variable_2="i_Stim" variable_1="i_Stim"/>
</connection>
<connection>
<map_components component_2="mu_ij" component_1="r_i"/>
<map_variables variable_2="mu_poc" variable_1="mu_poc"/>
<map_variables variable_2="mu_pcc" variable_1="mu_pcc"/>
<map_variables variable_2="mu_moc" variable_1="mu_moc"/>
<map_variables variable_2="mu_mcc" variable_1="mu_mcc"/>
</connection>
<connection>
<map_components component_2="epsilon" component_1="r_i"/>
<map_variables variable_2="epsilon_m" variable_1="epsilon_m"/>
<map_variables variable_2="epsilon_pco" variable_1="epsilon_pco"/>
<map_variables variable_2="epsilon_pcc" variable_1="epsilon_pcc"/>
</connection>
<connection>
<map_components component_2="z_i" component_1="r_i"/>
<map_variables variable_2="r_1" variable_1="r_1"/>
<map_variables variable_2="r_2" variable_1="r_2"/>
<map_variables variable_2="r_3" variable_1="r_3"/>
<map_variables variable_2="r_4" variable_1="r_4"/>
<map_variables variable_2="r_5" variable_1="r_5"/>
<map_variables variable_2="r_6" variable_1="r_6"/>
<map_variables variable_2="r_7" variable_1="r_7"/>
<map_variables variable_2="r_8" variable_1="r_8"/>
</connection>
<connection>
<map_components component_2="environment" component_1="z_i"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="J_ij" component_1="J_values"/>
<map_variables variable_2="J_Rco" variable_1="J_Rco"/>
<map_variables variable_2="J_Roo" variable_1="J_Roo"/>
<map_variables variable_2="J_Loo" variable_1="J_Loo"/>
<map_variables variable_2="J_Loc" variable_1="J_Loc"/>
</connection>
<connection>
<map_components component_2="y_ij" component_1="J_values"/>
<map_variables variable_2="y_oo" variable_1="y_oo"/>
<map_variables variable_2="y_co" variable_1="y_co"/>
<map_variables variable_2="y_oc" variable_1="y_oc"/>
</connection>
<connection>
<map_components component_2="J_values" component_1="alpha"/>
<map_variables variable_2="alpha_p" variable_1="alpha_p"/>
<map_variables variable_2="alpha_m" variable_1="alpha_m"/>
</connection>
<connection>
<map_components component_2="J_values" component_1="beta"/>
<map_variables variable_2="beta_pcc" variable_1="beta_pcc"/>
<map_variables variable_2="beta_m" variable_1="beta_m"/>
</connection>
<connection>
<map_components component_2="L_flux" component_1="z_i"/>
<map_variables variable_2="z_1" variable_1="z_1"/>
<map_variables variable_2="z_2" variable_1="z_2"/>
</connection>
<connection>
<map_components component_2="J_values" component_1="L_flux"/>
<map_variables variable_2="J_L1" variable_1="J_L1"/>
<map_variables variable_2="J_L2" variable_1="J_L2"/>
</connection>
<connection>
<map_components component_2="cell_geom" component_1="L_flux"/>
<map_variables variable_2="N" variable_1="N"/>
<map_variables variable_2="V_myo" variable_1="V_myo"/>
</connection>
<connection>
<map_components component_2="R_flux" component_1="z_i"/>
<map_variables variable_2="z_1" variable_1="z_1"/>
<map_variables variable_2="z_3" variable_1="z_3"/>
</connection>
<connection>
<map_components component_2="J_values" component_1="R_flux"/>
<map_variables variable_2="J_R1" variable_1="J_R1"/>
<map_variables variable_2="J_R3" variable_1="J_R3"/>
</connection>
<connection>
<map_components component_2="cell_geom" component_1="R_flux"/>
<map_variables variable_2="N" variable_1="N"/>
<map_variables variable_2="V_myo" variable_1="V_myo"/>
</connection>
<connection>
<map_components component_2="cell_geom" component_1="I_Ca_L"/>
<map_variables variable_2="A_cap" variable_1="A_cap"/>
<map_variables variable_2="V_myo" variable_1="V_myo"/>
</connection>
<connection>
<map_components component_2="ionic_concentrations" component_1="I_Ca_L"/>
<map_variables variable_2="I_CaL" variable_1="I_CaL"/>
</connection>
<connection>
<map_components component_2="L_flux" component_1="I_Ca_L"/>
<map_variables variable_2="J_LC" variable_1="J_LC"/>
</connection>
<connection>
<map_components component_2="ionic_concentrations" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="ionic_concentrations" component_1="R_flux"/>
<map_variables variable_2="J_RY" variable_1="J_RY"/>
</connection>
<connection>
<map_components component_2="cell_geom" component_1="ionic_concentrations"/>
<map_variables variable_2="A_cap" variable_1="A_cap"/>
<map_variables variable_2="V_SR" variable_1="V_SR"/>
<map_variables variable_2="V_myo" variable_1="V_myo"/>
</connection>
<connection>
<map_components component_2="SERCA" component_1="ionic_concentrations"/>
<map_variables variable_2="I_SERCA" variable_1="I_SERCA"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
</connection>
<connection>
<map_components component_2="troponin" component_1="ionic_concentrations"/>
<map_variables variable_2="J_TPRN" variable_1="J_TPRN"/>
<map_variables variable_2="TRPN" variable_1="TRPN"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="B_TRPN" variable_1="B_TRPN"/>
</connection>
<connection>
<map_components component_2="NCX" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="I_NaCa" variable_1="I_NaCa"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="I_Ca_L"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="I_CaL" variable_1="I_CaL"/>
</connection>
<connection>
<map_components component_2="Cab" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="I_Cab" variable_1="I_Cab"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="I_Cl" variable_1="I_Cl"/>
<map_variables variable_2="I_H" variable_1="I_H"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="sodium_current"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
</connection>
<connection>
<map_components component_2="background_currents" component_1="sodium_current"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="steady_state_outward_K_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="inward_rectifier"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="hyperpolarisation_activated_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="background_currents"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_potassium_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_ion_concentrations"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="sodium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
</connection>
<connection>
<map_components component_2="Ca_independent_transient_outward_K_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_t" variable_1="i_t"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="steady_state_outward_K_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_ss" variable_1="i_ss"/>
</connection>
<connection>
<map_components component_2="inward_rectifier" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_f" variable_1="i_f"/>
</connection>
<connection>
<map_components component_2="background_currents" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_B_Na" variable_1="i_B_Na"/>
<map_variables variable_2="i_B_K" variable_1="i_B_K"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="sodium_potassium_pump" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current" component_1="sodium_current"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
</connection>
<connection>
<map_components component_2="standard_ionic_concentrations" component_1="sodium_current"/>
<map_variables variable_2="Na_o" variable_1="Na_o"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="i_t" variable_1="i_t"/>
<map_variables variable_2="K_i" variable_1="K_i"/>
</connection>
<connection>
<map_components component_2="steady_state_outward_K_current" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="inward_rectifier" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="background_currents" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="standard_ionic_concentrations" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="steady_state_outward_K_current"/>
<map_variables variable_2="i_ss" variable_1="i_ss"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="inward_rectifier"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
<map_variables variable_2="K_i" variable_1="K_i"/>
</connection>
<connection>
<map_components component_2="standard_ionic_concentrations" component_1="inward_rectifier"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="hyperpolarisation_activated_current"/>
<map_variables variable_2="i_f_Na" variable_1="i_f_Na"/>
<map_variables variable_2="i_f_K" variable_1="i_f_K"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="background_currents"/>
<map_variables variable_2="i_B_Na" variable_1="i_B_Na"/>
<map_variables variable_2="i_B_K" variable_1="i_B_K"/>
</connection>
<connection>
<map_components component_2="intracellular_ion_concentrations" component_1="sodium_potassium_pump"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
</connection>
<connection>
<map_components component_2="standard_ionic_concentrations" component_1="sodium_potassium_pump"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
<map_variables variable_2="Na_o" variable_1="Na_o"/>
</connection>
<connection>
<map_components component_2="sodium_current_m_gate" component_1="sodium_current"/>
<map_variables variable_2="m" variable_1="m"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="sodium_current_h_gate" component_1="sodium_current"/>
<map_variables variable_2="h" variable_1="h"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="sodium_current_j_gate" component_1="sodium_current"/>
<map_variables variable_2="j" variable_1="j"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="Ca_independent_transient_outward_K_current_r_gate" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="r" variable_1="r"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="Ca_independent_transient_outward_K_current_s_gate" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="s" variable_1="s"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="Ca_independent_transient_outward_K_current_s_slow_gate" component_1="Ca_independent_transient_outward_K_current"/>
<map_variables variable_2="s_slow" variable_1="s_slow"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="steady_state_outward_K_current_r_ss_gate" component_1="steady_state_outward_K_current"/>
<map_variables variable_2="r_ss" variable_1="r_ss"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="steady_state_outward_K_current_s_ss_gate" component_1="steady_state_outward_K_current"/>
<map_variables variable_2="s_ss" variable_1="s_ss"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current_y_gate" component_1="hyperpolarisation_activated_current"/>
<map_variables variable_2="y" variable_1="y"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="SL_pump" component_1="cell_geom"/>
<map_variables variable_2="V_myo" variable_1="V_myo"/>
<map_variables variable_2="A_cap" variable_1="A_cap"/>
</connection>
<connection>
<map_components component_2="environment" component_1="I_stimulus"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
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<dc:title>A Mathematical Model of the Slow Force Response to Stretch in Rat Ventricular Myocytes
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It has also been used in tissue models and can be readily coupled to tissue deformation models (Niederer and Smith Progress in Biophysics and Molecular Biology 2007).
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