- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2006-09-15 00:28:49+12:00
- Desc:
- committing version02 of garny_kohl_hunter_boyett_noble_2003
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/garny_kohl_hunter_boyett_noble_2003/rawfile/933364d48919d814f89fe98487fa33cf96619689/garny_kohl_hunter_boyett_noble_2003.cellml
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This CellML file was generated on 20/06/2005 at 13:16:44 using:
COR (0.9.31.71)
Copyright 2002-2005 Oxford Cardiac Electrophysiology Group
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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<article>
<articleinfo>
<title>TOne-dimensional Rabbit Sinoatrial Node Models: Benefits and Limitations</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
The complete original paper reference from which this CellML model was taken is cited below:
</para>
<para>
<ulink url="http://www.blackwell-synergy.com.ezproxy.auckland.ac.nz/doi/abs/10.1046/j.1540.8167.90301.x">One-dimensional Rabbit Sinoatrial Node Models: Benefits and Limitations</ulink>, ALAN GARNY, PETER KOHL, PETER J. HUNTER, MARK R. BOYETT, DENIS NOBLE, 2003, <ulink url="http://www.blackwell-synergy.com.ezproxy.auckland.ac.nz/loi/jce?cookieSet=1">
<emphasis>Journal of Cardiovascular Electrophysiology</emphasis>
</ulink>, 14, S121-S132. (<ulink url="http://www.blackwell-synergy.com.ezproxy.auckland.ac.nz/doi/full/10.1046/j.1540.8167.90301.x">Full text</ulink> and PDF versions of the article is available to subscribers on the Journal of Cardiovascular Electrophysiology website.) <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=14760914&dopt=Abstract">PubMed ID: 14760914</ulink>
</para>
</sect1>
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</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">84.9</cn>
<ci>V</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.208</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d_L</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">11.42</cn>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.4</cn>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d_L</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<plus/>
<ci>alpha_d_L</ci>
<ci>beta_d_L</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d_L_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">22.2</cn>
</apply>
</apply>
<cn cellml:units="millivolt">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f_gate">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="dimensionless" public_interface="out" name="f_L" initial_value="0.48779845203"/>
<variable units="per_second" name="alpha_f_L"/>
<variable units="per_second" name="beta_f_L"/>
<variable units="dimensionless" name="f_L_infinity"/>
<variable units="second" name="tau_f_L"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_L</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_L_infinity</ci>
<ci>f_L</ci>
</apply>
<ci>tau_f_L</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_f_L</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">3.12</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f_L</ci>
<apply>
<divide/>
<cn cellml:units="per_second">25</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
</apply>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_L</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_f_L</ci>
<ci>beta_f_L</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_L_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">45</cn>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel">
<variable units="dimensionless" public_interface="in" private_interface="out" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_Ca_T"/>
<variable units="microS" name="g_Ca_T_Centre" initial_value="0.0021"/>
<variable units="microS" name="g_Ca_T_Periphery" initial_value="0.00694"/>
<variable units="microS" name="g_Ca_T"/>
<variable units="millivolt" name="E_Ca_T" initial_value="45"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="d_T"/>
<variable units="dimensionless" private_interface="in" name="f_T"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Ca_T</ci>
<apply>
<plus/>
<ci>g_Ca_T_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_Ca_T_Periphery</ci>
<ci>g_Ca_T_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_T</ci>
<apply>
<times/>
<ci>g_Ca_T</ci>
<ci>d_T</ci>
<ci>f_T</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca_T</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_d_gate">
<variable units="dimensionless" public_interface="out" name="d_T" initial_value="0.42074047435"/>
<variable units="per_second" name="alpha_d_T"/>
<variable units="per_second" name="beta_d_T"/>
<variable units="dimensionless" name="d_T_infinity"/>
<variable units="second" name="tau_d_T"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d_T</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>d_T_infinity</ci>
<ci>d_T</ci>
</apply>
<ci>tau_d_T</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_d_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">1068</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.3</cn>
</apply>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">1068</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.3</cn>
</apply>
</apply>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d_T</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_d_T</ci>
<ci>beta_d_T</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d_T_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">37</cn>
</apply>
</apply>
<cn cellml:units="millivolt">6.8</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_f_gate">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="dimensionless" public_interface="out" name="f_T" initial_value="0.038968420558"/>
<variable units="per_second" name="alpha_f_T"/>
<variable units="per_second" name="beta_f_T"/>
<variable units="dimensionless" name="f_T_infinity"/>
<variable units="second" name="tau_f_T"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_T</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_T_infinity</ci>
<ci>f_T</ci>
</apply>
<ci>tau_f_T</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_f_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">15.3</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">71.7</cn>
</apply>
</apply>
<cn cellml:units="millivolt">83.3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">15</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">71.7</cn>
</apply>
<cn cellml:units="millivolt">15.38</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_T</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_f_T</ci>
<ci>beta_f_T</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_T_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">71</cn>
</apply>
<cn cellml:units="millivolt">9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="four_AP_sensitive_currents">
<variable units="dimensionless" public_interface="in" private_interface="out" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_to"/>
<variable units="nanoA" public_interface="out" name="i_sus"/>
<variable units="microS" name="g_to_Centre" initial_value="0.004905"/>
<variable units="microS" name="g_to_Periphery" initial_value="0.0365"/>
<variable units="microS" name="g_to"/>
<variable units="microS" name="g_sus_Centre" initial_value="0.000266"/>
<variable units="microS" name="g_sus_Periphery" initial_value="0.0114"/>
<variable units="microS" name="g_sus"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="dimensionless" private_interface="in" name="q"/>
<variable units="dimensionless" private_interface="in" name="r"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_to</ci>
<apply>
<plus/>
<ci>g_to_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_to_Periphery</ci>
<ci>g_to_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_sus</ci>
<apply>
<plus/>
<ci>g_sus_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_sus_Periphery</ci>
<ci>g_sus_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_to</ci>
<apply>
<times/>
<ci>g_to</ci>
<ci>q</ci>
<ci>r</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_sus</ci>
<apply>
<times/>
<ci>g_sus</ci>
<ci>r</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="four_AP_sensitive_currents_q_gate">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="dimensionless" public_interface="out" name="q" initial_value="0.29760539675"/>
<variable units="dimensionless" name="q_infinity"/>
<variable units="second" name="tau_q"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>q_infinity</ci>
<ci>q</ci>
</apply>
<ci>tau_q</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">59.37</cn>
</apply>
<cn cellml:units="millivolt">13.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_q</ci>
<apply>
<plus/>
<cn cellml:units="second">0.0101</cn>
<apply>
<divide/>
<cn cellml:units="second">0.06517</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5686</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="millivolt">0.08161</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">39</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="second">0.7174</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="millivolt">0.2719</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">40.93</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="four_AP_sensitive_currents_r_gate">
<variable units="dimensionless" public_interface="out" name="r" initial_value="0.064402950262"/>
<variable units="dimensionless" name="r_infinity"/>
<variable units="second" name="tau_r"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>r</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>r_infinity</ci>
<ci>r</ci>
</apply>
<ci>tau_r</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>r_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">10.93</cn>
</apply>
</apply>
<cn cellml:units="millivolt">19.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_r</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.001</cn>
<apply>
<plus/>
<cn cellml:units="second">2.98</cn>
<apply>
<divide/>
<cn cellml:units="second">19.59</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.037</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="millivolt">0.09012</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30.61</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.369</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="millivolt">0.119</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">23.84</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifying_potassium_current">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_K_r"/>
<variable units="microS" name="g_K_r_Centre" initial_value="0.000738"/>
<variable units="microS" name="g_K_r_Periphery" initial_value="0.0208"/>
<variable units="microS" name="g_K_r"/>
<variable units="dimensionless" name="P_a"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="P_af"/>
<variable units="dimensionless" private_interface="in" name="P_as"/>
<variable units="dimensionless" private_interface="in" name="P_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K_r</ci>
<apply>
<plus/>
<ci>g_K_r_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_K_r_Periphery</ci>
<ci>g_K_r_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K_r</ci>
<apply>
<times/>
<ci>g_K_r</ci>
<ci>P_a</ci>
<ci>P_i</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>P_a</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.6</cn>
<ci>P_af</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.4</cn>
<ci>P_as</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifying_potassium_current_P_af_gate">
<variable units="dimensionless" public_interface="out" name="P_af" initial_value="0.13034201158"/>
<variable units="dimensionless" public_interface="out" name="P_af_infinity"/>
<variable units="second" name="tau_P_af"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_af</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_af_infinity</ci>
<ci>P_af</ci>
</apply>
<ci>tau_P_af</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_af_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">13.2</cn>
</apply>
</apply>
<cn cellml:units="millivolt">10.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_P_af</ci>
<apply>
<divide/>
<cn cellml:units="second">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">37.2</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
<cn cellml:units="millivolt">15.9</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.96</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="millivolt">22.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifying_potassium_current_P_as_gate">
<variable units="dimensionless" public_interface="out" name="P_as" initial_value="0.46960956028"/>
<variable units="dimensionless" name="P_as_infinity"/>
<variable units="second" name="tau_P_as"/>
<variable units="dimensionless" public_interface="in" name="P_af_infinity"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_as</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_as_infinity</ci>
<ci>P_as</ci>
</apply>
<ci>tau_P_as</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_as_infinity</ci>
<ci>P_af_infinity</ci>
</apply>
<apply>
<eq/>
<ci>tau_P_as</ci>
<apply>
<divide/>
<cn cellml:units="second">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">4.2</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
<cn cellml:units="millivolt">17</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.15</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="millivolt">21.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifying_potassium_current_P_i_gate">
<variable units="dimensionless" public_interface="out" name="P_i" initial_value="0.87993375273"/>
<variable units="dimensionless" name="P_i_infinity"/>
<variable units="second" name="tau_P_i" initial_value="0.006"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_i_infinity</ci>
<ci>P_i</ci>
</apply>
<ci>tau_P_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_i_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">18.6</cn>
</apply>
<cn cellml:units="millivolt">10.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifying_potassium_current">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_K_s"/>
<variable units="microS" name="g_K_s_Centre" initial_value="0.000345"/>
<variable units="microS" name="g_K_s_Periphery" initial_value="0.0104"/>
<variable units="microS" name="g_K_s"/>
<variable units="millivolt" public_interface="in" name="E_K_s"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="xs"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K_s</ci>
<apply>
<plus/>
<ci>g_K_s_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_K_s_Periphery</ci>
<ci>g_K_s_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K_s</ci>
<apply>
<times/>
<ci>g_K_s</ci>
<apply>
<power/>
<ci>xs</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K_s</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifying_potassium_current_xs_gate">
<variable units="dimensionless" public_interface="out" name="xs" initial_value="0.082293827208"/>
<variable units="per_second" name="alpha_xs"/>
<variable units="per_second" name="beta_xs"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_xs</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>xs</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_xs</ci>
<ci>xs</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_xs</ci>
<apply>
<divide/>
<cn cellml:units="per_second">14</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
<cn cellml:units="millivolt">9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_xs</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">45</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="hyperpolarisation_activated_current">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_f_Na"/>
<variable units="nanoA" public_interface="out" name="i_f_K"/>
<variable units="microS" name="g_f_Na_Centre" initial_value="0.000437"/>
<variable units="microS" name="g_f_Na_Periphery" initial_value="0.0055"/>
<variable units="microS" name="g_f_Na"/>
<variable units="microS" name="g_f_K_Centre" initial_value="0.000437"/>
<variable units="microS" name="g_f_K_Periphery" initial_value="0.0055"/>
<variable units="microS" name="g_f_K"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="y"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_f_Na</ci>
<apply>
<plus/>
<ci>g_f_Na_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_f_Na_Periphery</ci>
<ci>g_f_Na_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f_Na</ci>
<apply>
<times/>
<ci>g_f_Na</ci>
<ci>y</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">77.6</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_f_K</ci>
<apply>
<plus/>
<ci>g_f_K_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_f_K_Periphery</ci>
<ci>g_f_K_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f_K</ci>
<apply>
<times/>
<ci>g_f_K</ci>
<ci>y</ci>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="dimensionless">102</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="hyperpolarisation_activated_current_y_gate">
<variable units="dimensionless" public_interface="out" name="y" initial_value="0.03889291759"/>
<variable units="per_second" name="alpha_y"/>
<variable units="per_second" name="beta_y"/>
<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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>y</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_y</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>y</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_y</ci>
<ci>y</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_y</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">78.91</cn>
</apply>
</apply>
<cn cellml:units="millivolt">26.63</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_y</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">75.13</cn>
</apply>
<cn cellml:units="millivolt">21.25</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_background_current">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_b_Na"/>
<variable units="microS" name="g_b_Na_Centre" initial_value="5.8e-5"/>
<variable units="microS" name="g_b_Na_Periphery" initial_value="0.000189"/>
<variable units="microS" name="g_b_Na"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_b_Na</ci>
<apply>
<plus/>
<ci>g_b_Na_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_b_Na_Periphery</ci>
<ci>g_b_Na_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_b_Na</ci>
<apply>
<times/>
<ci>g_b_Na</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="potassium_background_current">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_b_K"/>
<variable units="microS" name="g_b_K_Centre" initial_value="2.52e-5"/>
<variable units="microS" name="g_b_K_Periphery" initial_value="8.19e-5"/>
<variable units="microS" name="g_b_K"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_b_K</ci>
<apply>
<plus/>
<ci>g_b_K_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_b_K_Periphery</ci>
<ci>g_b_K_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_b_K</ci>
<apply>
<times/>
<ci>g_b_K</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_background_current">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_b_Ca"/>
<variable units="microS" name="g_b_Ca_Centre" initial_value="1.323e-5"/>
<variable units="microS" name="g_b_Ca_Periphery" initial_value="4.29e-5"/>
<variable units="microS" name="g_b_Ca"/>
<variable units="millivolt" public_interface="in" name="E_Ca"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_b_Ca</ci>
<apply>
<plus/>
<ci>g_b_Ca_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_b_Ca_Periphery</ci>
<ci>g_b_Ca_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_b_Ca</ci>
<apply>
<times/>
<ci>g_b_Ca</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_calcium_exchanger">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_NaCa"/>
<variable units="nanoA" name="k_NaCa_Centre" initial_value="2.8e-6"/>
<variable units="nanoA" name="k_NaCa_Periphery" initial_value="8.8e-6"/>
<variable units="nanoA" name="k_NaCa"/>
<variable units="dimensionless" name="d_NaCa" initial_value="0.0001"/>
<variable units="dimensionless" name="gamma_NaCa" initial_value="0.5"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millimolar" public_interface="in" name="Na_o"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="millimolar" public_interface="in" name="Ca_o"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>k_NaCa</ci>
<apply>
<plus/>
<ci>k_NaCa_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>k_NaCa_Periphery</ci>
<ci>k_NaCa_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_NaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k_NaCa</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.03743</cn>
<ci>V</ci>
<ci>gamma_NaCa</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_i</ci>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.03743</cn>
<ci>V</ci>
<apply>
<minus/>
<ci>gamma_NaCa</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>d_NaCa</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>Ca_i</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_p"/>
<variable units="millimolar" name="K_m_Na" initial_value="5.64"/>
<variable units="millimolar" name="K_m_K" initial_value="0.621"/>
<variable units="nanoA" name="i_p_max_Centre" initial_value="0.0478"/>
<variable units="nanoA" name="i_p_max_Periphery" initial_value="0.16"/>
<variable units="nanoA" name="i_p_max"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millimolar" public_interface="in" name="K_o"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_p_max</ci>
<apply>
<plus/>
<ci>i_p_max_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>i_p_max_Periphery</ci>
<ci>i_p_max_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_p</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_p_max</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Na_i</ci>
<apply>
<plus/>
<ci>K_m_Na</ci>
<ci>Na_i</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>K_o</ci>
<apply>
<plus/>
<ci>K_m_K</ci>
<ci>K_o</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<cn cellml:units="dimensionless">1.6</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.5</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">60</cn>
</apply>
</apply>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="persistent_calcium_current">
<variable units="dimensionless" public_interface="in" name="FCell"/>
<variable units="nanoA" public_interface="out" name="i_Ca_p"/>
<variable units="nanoA" name="i_Ca_p_max_Centre" initial_value="0.0042"/>
<variable units="nanoA" name="i_Ca_p_max_Periphery" initial_value="0.03339"/>
<variable units="nanoA" name="i_Ca_p_max"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_p_max</ci>
<apply>
<plus/>
<ci>i_Ca_p_max_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>i_Ca_p_max_Periphery</ci>
<ci>i_Ca_p_max_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_p</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_Ca_p_max</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<plus/>
<ci>Ca_i</ci>
<cn cellml:units="millimolar">0.0004</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ionic_concentrations">
<variable units="millimolar" public_interface="out" name="Na_i" initial_value="8"/>
<variable units="millimolar" public_interface="out" name="Na_o" initial_value="140"/>
<variable units="millimolar" public_interface="out" name="Ca_i" initial_value="0.0001"/>
<variable units="millimolar" public_interface="out" name="Ca_o" initial_value="2"/>
<variable units="millimolar" public_interface="out" name="K_i" initial_value="140"/>
<variable units="millimolar" public_interface="out" name="K_o" initial_value="5.4"/>
</component>
<component name="reversal_and_equilibrium_potentials">
<variable units="millivolt" public_interface="out" name="E_Na"/>
<variable units="millivolt" public_interface="out" name="E_K"/>
<variable units="millivolt" public_interface="out" name="E_K_s"/>
<variable units="millivolt" public_interface="out" name="E_Ca"/>
<variable units="millimolar" public_interface="in" name="K_o"/>
<variable units="millimolar" public_interface="in" name="Na_o"/>
<variable units="millimolar" public_interface="in" name="K_i"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millimolar" public_interface="in" name="Ca_o"/>
<variable units="millimolar" public_interface="in" name="Ca_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"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
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