- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2009-06-17 15:19:22+12:00
- Desc:
- committing version03 of noble_difrancesco_denyer_1989
- Permanent Source URI:
- https://models.cellml.org/workspace/noble_difrancesco_denyer_1989/rawfile/b8d22013751d8e1df98c94d036e8e60ff75e162e/noble_difrancesco_denyer_1989.cellml
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<!--
This CellML file was generated on 17/09/2007 at 13:18:57 using:
COR (0.9.31.769)
Copyright 2002-2007 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/
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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<section id="sec_status">
<title>Model Status</title>
<para>
This model has been curated by Penny Noble of Oxford University and is known to run in PCEnv and COR and reproduce the results published in the paper it is based on.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="noble_1989.png"/>
</imageobject>
</mediaobject>
<caption>Schematic diagram of the Noble et al 1989 model.</caption>
</informalfigure>
</para>
<para>
This model was based on the article:
</para>
<para>
"Ionic Mechanisms in Normal and Abnormal Cardiac Pacemaker Activity"
</para>
<para>
This article can be found in the book "Neuronal and Cellular Oscillators"
</para>
<para>
pp. 59-85
</para>
<para>
Edited by Jon W. Jacklet
</para>
<para>
Part of the "Cellular Clocks" series, published by Marcel Dekker Inc.
</para>
<para>
Further documentation is pending a summary of this article.
</para>
</sect1>
</article>
</documentation>
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<ci>RTONF</ci>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Nao</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.12</cn>
<ci>Kc</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>Nai</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.12</cn>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Na</ci>
<apply>
<times/>
<ci>g_Na</ci>
<apply>
<power/>
<ci>m</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>h</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_mh</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_m_gate">
<variable units="dimensionless" public_interface="out" name="m" initial_value="0.0365"/>
<variable units="per_second" name="alpha_m"/>
<variable units="per_second" name="beta_m"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" name="delta_m" initial_value="1e-5"/>
<variable units="millivolt" name="E0_m"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_m</ci>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">41</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_m</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">2000</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_m</ci>
</apply>
<ci>delta_m</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">200</cn>
<ci>E0_m</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.1</cn>
</apply>
<ci>E0_m</ci>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<times/>
<cn cellml:units="per_second">8000</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.056</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">66</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>m</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_m</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>m</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_m</ci>
<ci>m</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_h_gate">
<variable units="dimensionless" public_interface="out" name="h" initial_value="0.1969"/>
<variable units="per_second" name="alpha_h"/>
<variable units="per_second" name="beta_h"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_h</ci>
<apply>
<times/>
<cn cellml:units="per_second">20</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.125</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">75</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_h</ci>
<apply>
<divide/>
<cn cellml:units="per_second">2000</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">320</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">75</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>h</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_h</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_h</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="second_inward_current">
<variable units="nanoA" public_interface="out" name="i_si"/>
<variable units="nanoA" public_interface="out" name="i_siCa"/>
<variable units="nanoA" public_interface="out" name="i_siK"/>
<variable units="nanoA" public_interface="out" name="i_siNa"/>
<variable units="nanoA_per_millimolar" name="P_si" initial_value="0.12"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millivolt" public_interface="in" name="RTONF"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Kc"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Cai"/>
<variable units="dimensionless" private_interface="in" name="d"/>
<variable units="dimensionless" private_interface="in" name="f"/>
<variable units="dimensionless" private_interface="in" name="f2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_siCa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>P_si</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<apply>
<times/>
<ci>RTONF</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Cai</ci>
<apply>
<exp/>
<apply>
<divide/>
<cn cellml:units="millivolt">100</cn>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Cao</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
<ci>d</ci>
<ci>f</ci>
<ci>f2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_siK</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.01</cn>
<ci>P_si</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<apply>
<times/>
<ci>RTONF</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<cn cellml:units="millivolt">50</cn>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Kc</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
<ci>d</ci>
<ci>f</ci>
<ci>f2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_siNa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.01</cn>
<ci>P_si</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<apply>
<times/>
<ci>RTONF</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Nai</ci>
<apply>
<exp/>
<apply>
<divide/>
<cn cellml:units="millivolt">50</cn>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Nao</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
<ci>d</ci>
<ci>f</ci>
<ci>f2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_si</ci>
<apply>
<plus/>
<ci>i_siCa</ci>
<ci>i_siK</ci>
<ci>i_siNa</ci>
</apply>
</apply>
</math>
</component>
<component name="second_inward_current_d_gate">
<variable units="dimensionless" public_interface="out" name="d" initial_value="0"/>
<variable units="per_second" name="alpha_d"/>
<variable units="per_second" name="beta_d"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" name="delta_d" initial_value="0.0001"/>
<variable units="millivolt" name="E0_d"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_d</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">24</cn>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_d</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">120</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_d</ci>
</apply>
<ci>delta_d</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">30</cn>
<ci>E0_d</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>E0_d</ci>
</apply>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_d</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">120</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_d</ci>
</apply>
<ci>delta_d</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">12</cn>
<ci>E0_d</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>E0_d</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_d</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>d</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_d</ci>
<ci>d</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="second_inward_current_f_gate">
<variable units="dimensionless" public_interface="out" name="f" initial_value="0.9997"/>
<variable units="per_second" name="alpha_f"/>
<variable units="per_second" name="beta_f"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" name="delta_f" initial_value="0.0001"/>
<variable units="millivolt" name="E0_f"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_f</ci>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">34</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_f</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">25</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_f</ci>
</apply>
<ci>delta_f</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">6.25</cn>
<ci>E0_f</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>E0_f</ci>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_f</ci>
<apply>
<divide/>
<cn cellml:units="per_second">50</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">34</cn>
</apply>
</apply>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_f</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_f</ci>
<ci>f</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="second_inward_current_f2_gate">
<variable units="dimensionless" public_interface="out" name="f2" initial_value="0.5765"/>
<variable units="per_second" name="alpha_f2" initial_value="10"/>
<variable units="per_second" name="beta_f2"/>
<variable units="millimolar" name="K_mf2" initial_value="0.0005"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>beta_f2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Cai</ci>
<ci>alpha_f2</ci>
</apply>
<ci>K_mf2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f2</ci>
</apply>
<apply>
<minus/>
<ci>alpha_f2</ci>
<apply>
<times/>
<ci>f2</ci>
<apply>
<plus/>
<ci>alpha_f2</ci>
<ci>beta_f2</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="extracellular_sodium_concentration">
<variable units="millimolar" public_interface="out" name="Nao" initial_value="140"/>
</component>
<component name="intracellular_sodium_concentration">
<variable units="millimolar" public_interface="out" name="Nai" initial_value="7.5"/>
<variable units="micrometre" name="radius" initial_value="0.01"/>
<variable units="micrometre" name="length" initial_value="0.028"/>
<variable units="dimensionless" name="V_e_ratio" initial_value="0.1"/>
<variable units="micrometre3" name="V_Cell"/>
<variable units="micrometre3" public_interface="out" name="Vi"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="nanoA" public_interface="in" name="i_Na"/>
<variable units="nanoA" public_interface="in" name="i_Na_b"/>
<variable units="nanoA" public_interface="in" name="i_siNa"/>
<variable units="nanoA" public_interface="in" name="i_p"/>
<variable units="nanoA" public_interface="in" name="i_fNa"/>
<variable units="nanoA" public_interface="in" name="i_NaCa"/>
<variable units="dimensionless" public_interface="in" name="n_NaCa"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_Cell</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3.141592654</cn>
<apply>
<power/>
<ci>radius</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>length</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Vi</ci>
<apply>
<times/>
<ci>V_Cell</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>V_e_ratio</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Nai</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mA_nA">1</cn>
</apply>
<apply>
<plus/>
<ci>i_Na</ci>
<ci>i_Na_b</ci>
<ci>i_fNa</ci>
<ci>i_siNa</ci>
<apply>
<times/>
<ci>i_p</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>i_NaCa</ci>
<ci>n_NaCa</ci>
</apply>
<apply>
<minus/>
<ci>n_NaCa</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>Vi</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="extracellular_calcium_concentration">
<variable units="millimolar" public_interface="out" name="Cao" initial_value="2"/>
</component>
<component name="intracellular_calcium_concentration">
<variable units="millimolar" public_interface="out" name="Cai" initial_value="5.6e-5"/>
<variable units="micrometre3" name="V_up"/>
<variable units="micrometre3" name="V_rel"/>
<variable units="micrometre3" public_interface="in" name="Vi"/>
<variable units="nanoA" name="i_up"/>
<variable units="nanoA" name="i_tr"/>
<variable units="nanoA" name="i_rel"/>
<variable units="millimolar" name="Ca_up" initial_value="2.3909"/>
<variable units="millimolar" name="Ca_rel" initial_value="0.2207"/>
<variable units="millimolar" name="Ca_up_max" initial_value="5"/>
<variable units="millimolar" name="K_mCa" initial_value="0.002"/>
<variable units="dimensionless" name="p" initial_value="0.237"/>
<variable units="per_second" name="alpha_p"/>
<variable units="per_second" name="beta_p"/>
<variable units="millivolt" name="E0_p"/>
<variable units="second" name="tau_up" initial_value="0.005"/>
<variable units="second" name="tau_rep" initial_value="0.2"/>
<variable units="second" name="tau_rel" initial_value="0.01"/>
<variable units="dimensionless" name="rCa" initial_value="2"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="nanoA" public_interface="in" name="i_Ca_b"/>
<variable units="nanoA" public_interface="in" name="i_siCa"/>
<variable units="nanoA" public_interface="in" name="i_NaCa"/>
<variable units="dimensionless" public_interface="in" name="n_NaCa"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_up</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>Vi</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<cn cellml:units="mA_nA">1</cn>
<ci>tau_up</ci>
<ci>Ca_up_max</ci>
</apply>
</apply>
<ci>Cai</ci>
<apply>
<minus/>
<ci>Ca_up_max</ci>
<ci>Ca_up</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_tr</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_rel</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<cn cellml:units="mA_nA">1</cn>
<ci>tau_rep</ci>
</apply>
</apply>
<ci>p</ci>
<apply>
<minus/>
<ci>Ca_up</ci>
<ci>Ca_rel</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E0_p</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">34</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_p</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">0.625</cn>
<ci>E0_p</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>E0_p</ci>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_p</ci>
<apply>
<divide/>
<cn cellml:units="per_second">5</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>E0_p</ci>
</apply>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_rel</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_rel</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<cn cellml:units="mA_nA">1</cn>
<ci>tau_rel</ci>
</apply>
</apply>
<ci>Ca_rel</ci>
<apply>
<power/>
<ci>Cai</ci>
<ci>rCa</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Cai</ci>
<ci>rCa</ci>
</apply>
<apply>
<power/>
<ci>K_mCa</ci>
<ci>rCa</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>p</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_p</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>p</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_p</ci>
<ci>p</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_up</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="mA_nA">1</cn>
<apply>
<minus/>
<ci>i_up</ci>
<ci>i_tr</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_up</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_up</ci>
<apply>
<times/>
<ci>Vi</ci>
<cn cellml:units="dimensionless">0.05</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_rel</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="mA_nA">1</cn>
<apply>
<minus/>
<ci>i_tr</ci>
<ci>i_rel</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_rel</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_rel</ci>
<apply>
<times/>
<ci>Vi</ci>
<cn cellml:units="dimensionless">0.02</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cai</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mA_nA">1</cn>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_siCa</ci>
<ci>i_Ca_b</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_NaCa</ci>
</apply>
<apply>
<minus/>
<ci>n_NaCa</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<ci>i_rel</ci>
</apply>
<ci>i_up</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>Vi</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="extracellular_potassium_concentration">
<variable units="millimolar" public_interface="out" name="Kc" initial_value="3"/>
</component>
<component name="intracellular_potassium_concentration">
<variable units="millimolar" public_interface="out" name="Ki" initial_value="140"/>
<variable units="micrometre3" public_interface="in" name="Vi"/>
<variable units="nanoA" public_interface="in" name="i_K1"/>
<variable units="nanoA" public_interface="in" name="i_K"/>
<variable units="nanoA" public_interface="in" name="i_fK"/>
<variable units="nanoA" public_interface="in" name="i_siK"/>
<variable units="nanoA" public_interface="in" name="i_p"/>
<variable units="nanoA" name="i_mK"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_mK</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_K1</ci>
<ci>i_K</ci>
<ci>i_fK</ci>
<ci>i_siK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_p</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ki</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mA_nA">1</cn>
</apply>
<ci>i_mK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>Vi</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<component_ref component="hyperpolarising_activated_current">
<component_ref component="hyperpolarising_activated_current_y_gate"/>
</component_ref>
<component_ref component="time_dependent_potassium_current">
<component_ref component="time_dependent_potassium_current_x_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current"/>
<component_ref component="sodium_background_current"/>
<component_ref component="calcium_background_current"/>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="Na_Ca_exchanger"/>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
</component_ref>
<component_ref component="second_inward_current">
<component_ref component="second_inward_current_d_gate"/>
<component_ref component="second_inward_current_f_gate"/>
<component_ref component="second_inward_current_f2_gate"/>
</component_ref>
<component_ref component="intracellular_sodium_concentration"/>
<component_ref component="extracellular_sodium_concentration"/>
<component_ref component="intracellular_calcium_concentration"/>
<component_ref component="extracellular_calcium_concentration"/>
<component_ref component="extracellular_potassium_concentration"/>
<component_ref component="intracellular_potassium_concentration"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="hyperpolarising_activated_current">
<component_ref component="hyperpolarising_activated_current_y_gate"/>
</component_ref>
<component_ref component="time_dependent_potassium_current">
<component_ref component="time_dependent_potassium_current_x_gate"/>
</component_ref>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
</component_ref>
<component_ref component="second_inward_current">
<component_ref component="second_inward_current_d_gate"/>
<component_ref component="second_inward_current_f_gate"/>
<component_ref component="second_inward_current_f2_gate"/>
</component_ref>
</group>
<connection>
<map_components component_2="environment" component_1="membrane"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="time_dependent_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="time_independent_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_background_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_background_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_potassium_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="fast_sodium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="second_inward_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_sodium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_calcium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_potassium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="RTONF" variable_1="RTONF"/>
<map_variables variable_2="i_f" variable_1="i_f"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="time_dependent_potassium_current"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_K" variable_1="i_K"/>
<map_variables variable_2="RTONF" variable_1="RTONF"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="time_independent_potassium_current"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="RTONF" variable_1="RTONF"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="sodium_background_current"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Na_b" variable_1="i_Na_b"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="calcium_background_current"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="RTONF" variable_1="RTONF"/>
<map_variables variable_2="i_Ca_b" variable_1="i_Ca_b"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="sodium_potassium_pump"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_p" variable_1="i_p"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
<map_variables variable_2="RTONF" variable_1="RTONF"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="fast_sodium_current"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="RTONF" variable_1="RTONF"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="second_inward_current"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_si" variable_1="i_si"/>
<map_variables variable_2="RTONF" variable_1="RTONF"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="intracellular_sodium_concentration"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="intracellular_calcium_concentration"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="intracellular_potassium_concentration"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="Kc" variable_1="Kc"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
<map_variables variable_2="i_fK" variable_1="i_fK"/>
</connection>
<connection>
<map_components component_2="time_independent_potassium_current" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="sodium_background_current" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="i_fNa" variable_1="i_fNa"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
</connection>
<connection>
<map_components component_2="extracellular_sodium_concentration" component_1="hyperpolarising_activated_current"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="extracellular_calcium_concentration" component_1="calcium_background_current"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="time_dependent_potassium_current"/>
<map_variables variable_2="Kc" variable_1="Kc"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="time_dependent_potassium_current"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
<map_variables variable_2="i_K" variable_1="i_K"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="time_independent_potassium_current"/>
<map_variables variable_2="Kc" variable_1="Kc"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="time_independent_potassium_current"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="sodium_background_current"/>
<map_variables variable_2="i_Na_b" variable_1="i_Na_b"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="calcium_background_current"/>
<map_variables variable_2="i_Ca_b" variable_1="i_Ca_b"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="sodium_potassium_pump"/>
<map_variables variable_2="Kc" variable_1="Kc"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="sodium_potassium_pump"/>
<map_variables variable_2="i_p" variable_1="i_p"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="sodium_potassium_pump"/>
<map_variables variable_2="i_p" variable_1="i_p"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
</connection>
<connection>
<map_components component_2="extracellular_sodium_concentration" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="extracellular_calcium_concentration" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="n_NaCa" variable_1="n_NaCa"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="Na_Ca_exchanger"/>
<map_variables variable_2="n_NaCa" variable_1="n_NaCa"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="fast_sodium_current"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="fast_sodium_current"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="fast_sodium_current"/>
<map_variables variable_2="Kc" variable_1="Kc"/>
</connection>
<connection>
<map_components component_2="extracellular_sodium_concentration" component_1="fast_sodium_current"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="second_inward_current"/>
<map_variables variable_2="i_siCa" variable_1="i_siCa"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
</connection>
<connection>
<map_components component_2="extracellular_calcium_concentration" component_1="second_inward_current"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
</connection>
<connection>
<map_components component_2="extracellular_sodium_concentration" component_1="second_inward_current"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="second_inward_current"/>
<map_variables variable_2="Kc" variable_1="Kc"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="second_inward_current"/>
<map_variables variable_2="i_siK" variable_1="i_siK"/>
<map_variables variable_2="Ki" variable_1="Ki"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="second_inward_current"/>
<map_variables variable_2="i_siNa" variable_1="i_siNa"/>
<map_variables variable_2="Nai" variable_1="Nai"/>
</connection>
<connection>
<map_components component_2="hyperpolarising_activated_current_y_gate" component_1="hyperpolarising_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="time_dependent_potassium_current_x_gate" component_1="time_dependent_potassium_current"/>
<map_variables variable_2="x" variable_1="x"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="fast_sodium_current_m_gate" component_1="fast_sodium_current"/>
<map_variables variable_2="m" variable_1="m"/>
<map_variables variable_2="time" variable_1="time"/>
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