Location: Noble, Noble, 1984 @ ecd89b532183 / noble_noble_1984.cellml

Author:
Catherine Lloyd <c.lloyd@auckland.ac.nz>
Date:
2010-06-22 01:21:38+12:00
Desc:
Removed old CellML rendering image. Also removed xml:base="" from the model file and thee link to the old image.
Permanent Source URI:
http://models.cellml.org/workspace/noble_noble_1984/rawfile/ecd89b53218321c5eba55c76dc0023ca4c443fcb/noble_noble_1984.cellml

<?xml version="1.0"?>
<!--
This CellML file was generated on 17/09/2007 at 12:19:39 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/
-->
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="noble_noble_1984" name="noble_noble_1984">
   
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Noble-Noble Model Of Sino-Atrial Node Electrical Activity, 1984</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <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>
In 1984 D. Noble and S.J. Noble published a mathematical model which describes electrical activity in the sino-atrial node.  Their model is based on the Purkinje fibre model developed by D. DiFrancesco and D. Noble (please see the CellML version of the DiFrancesco-Noble Purkinje Fibre Model, 1985).  Most of the equations of this cardiac cell model remain unchanged.  However, based on the results of experimental work, where necessary, certain parameters have been modified in order to make the model appropriate to a sino-atrial node.
</para>

<para>
The complete original paper reference is cited below:
</para>

<para>
A Model of Sino-Atrial Node Electrical Activity Based on a Modification of the DiFrancesco-Noble (1984) Equations, D. Noble and S.J. Noble,<emphasis>Proceedings of the Royal Society of London. Series B, Biological Sciences</emphasis>, 222, 295-304.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=6149553&amp;dopt=Abstract">PubMed ID: 6149553</ulink>
</para>

<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>cell diagram of the NN SAN model showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
    </objectinfo>
    <imagedata fileref="noble_noble_1984.png"/>
  </imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the NN SAN model.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
   <units name="per_second">
      <unit exponent="-1" units="second"/>
   </units>
   <units name="millivolt">
      <unit prefix="milli" units="volt"/>
   </units>
   <units name="per_millivolt">
      <unit exponent="-1" prefix="milli" units="volt"/>
   </units>
   <units name="per_millivolt_second">
      <unit exponent="-1" units="millivolt"/>
      <unit exponent="-1" units="second"/>
   </units>
   <units name="millivolt_second">
      <unit units="millivolt"/>
      <unit units="second"/>
   </units>
   <units name="microS">
      <unit prefix="micro" units="siemens"/>
   </units>
   <units name="microF">
      <unit prefix="micro" units="farad"/>
   </units>
   <units name="nanoA">
      <unit prefix="nano" units="ampere"/>
   </units>
   <units name="mA_nA">
      <unit prefix="milli" units="ampere"/>
      <unit exponent="-1" units="nanoA"/>
   </units>
   <units name="millimolar">
      <unit prefix="milli" units="mole"/>
      <unit exponent="-1" units="litre"/>
   </units>
   <units name="millimolar4">
      <unit exponent="4" units="millimolar"/>
   </units>
   <units name="nanoA_per_millimolar">
      <unit units="nanoA"/>
      <unit exponent="-1" units="millimolar"/>
   </units>
   <units name="joule_per_kilomole_kelvin">
      <unit units="joule"/>
      <unit exponent="-1" prefix="kilo" units="mole"/>
      <unit exponent="-1" units="kelvin"/>
   </units>
   <units name="coulomb_per_mole">
      <unit units="coulomb"/>
      <unit exponent="-1" units="mole"/>
   </units>
   <units name="micrometre">
      <unit prefix="micro" units="metre"/>
   </units>
   <units name="micrometre3">
      <unit exponent="3" prefix="micro" units="metre"/>
   </units>
   <units name="litre_micrometre3">
      <unit units="litre"/>
      <unit exponent="-1" units="micrometre3"/>
   </units>
   <component name="environment">
      <variable cmeta:id="environment_time" name="time" public_interface="out" units="second"/>
   </component>
   <component name="membrane">
      <variable cmeta:id="membrane_V" initial_value="-60" name="V" public_interface="out" units="millivolt"/>
      <variable initial_value="8314.472" name="R" public_interface="out" units="joule_per_kilomole_kelvin"/>
      <variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
      <variable initial_value="96485.3415" name="F" public_interface="out" units="coulomb_per_mole"/>
      <variable initial_value="0.006" name="C" units="microF"/>
      <variable name="RTONF" public_interface="out" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="i_f" public_interface="in" units="nanoA"/>
      <variable name="i_K" public_interface="in" units="nanoA"/>
      <variable name="i_K1" public_interface="in" units="nanoA"/>
      <variable name="i_Na_b" public_interface="in" units="nanoA"/>
      <variable name="i_Ca_b" public_interface="in" units="nanoA"/>
      <variable name="i_p" public_interface="in" units="nanoA"/>
      <variable name="i_NaCa" public_interface="in" units="nanoA"/>
      <variable name="i_Na" public_interface="in" units="nanoA"/>
      <variable name="i_si" public_interface="in" units="nanoA"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>RTONF</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
               </apply>
               <ci>F</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>V</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>i_f</ci>
                     <ci>i_K</ci>
                     <ci>i_K1</ci>
                     <ci>i_Na_b</ci>
                     <ci>i_Ca_b</ci>
                     <ci>i_p</ci>
                     <ci>i_NaCa</ci>
                     <ci>i_Na</ci>
                     <ci>i_si</ci>
                  </apply>
               </apply>
               <ci>C</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="hyperpolarising_activated_current">
      <variable cmeta:id="hyperpolarising_activated_current_i_f" name="i_f" public_interface="out" units="nanoA"/>
      <variable name="i_fNa" public_interface="out" units="nanoA"/>
      <variable name="E_Na" public_interface="out" units="millivolt"/>
      <variable name="E_K" public_interface="out" units="millivolt"/>
      <variable name="i_fK" public_interface="out" units="nanoA"/>
      <variable initial_value="6" name="g_f_Na" units="microS"/>
      <variable initial_value="6" name="g_f_K" units="microS"/>
      <variable initial_value="45" name="Km_f" units="millimolar"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="RTONF" public_interface="in" units="millivolt"/>
      <variable name="Kc" public_interface="in" units="millimolar"/>
      <variable name="Ki" public_interface="in" units="millimolar"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="Nao" public_interface="in" units="millimolar"/>
      <variable name="y" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Na</ci>
            <apply>
               <times/>
               <ci>RTONF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Nao</ci>
                     <ci>Nai</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>E_K</ci>
            <apply>
               <times/>
               <ci>RTONF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Kc</ci>
                     <ci>Ki</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_fNa</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>y</ci>
                     <ci>Kc</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>Kc</ci>
                     <ci>Km_f</ci>
                  </apply>
               </apply>
               <ci>g_f_Na</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Na</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_fK</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>y</ci>
                     <ci>Kc</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>Kc</ci>
                     <ci>Km_f</ci>
                  </apply>
               </apply>
               <ci>g_f_K</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_f</ci>
            <apply>
               <plus/>
               <ci>i_fNa</ci>
               <ci>i_fK</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="hyperpolarising_activated_current_y_gate">
      <variable initial_value="0.007" name="y" public_interface="out" units="dimensionless"/>
      <variable name="alpha_y" units="per_second"/>
      <variable name="beta_y" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable initial_value="1e-5" name="delta_y" units="millivolt"/>
      <variable name="E0_y" units="millivolt"/>
      <variable initial_value="2" name="speed_y" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_y</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">52</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_y</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">0.05</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.067</cn>
                     </apply>
                     <ci>E0_y</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_y</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">2.5</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_y</ci>
                     </apply>
                     <ci>delta_y</ci>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <ci>E0_y</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt_second">1</cn>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt_second">1</cn>
                           <apply>
                              <exp/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.2</cn>
                                 </apply>
                                 <ci>E0_y</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>y</ci>
            </apply>
            <apply>
               <times/>
               <ci>speed_y</ci>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>alpha_y</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <ci>y</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>beta_y</ci>
                     <ci>y</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_dependent_potassium_current">
      <variable cmeta:id="time_dependent_potassium_current_i_K" name="i_K" public_interface="out" units="nanoA"/>
      <variable name="I_K" units="nanoA"/>
      <variable initial_value="20" name="i_K_max" units="nanoA"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="RTONF" public_interface="in" units="millivolt"/>
      <variable name="Ki" public_interface="in" units="millimolar"/>
      <variable name="Kc" public_interface="in" units="millimolar"/>
      <variable name="x" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_K</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>i_K_max</ci>
                  <apply>
                     <minus/>
                     <ci>Ki</ci>
                     <apply>
                        <times/>
                        <ci>Kc</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                              </apply>
                              <ci>RTONF</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">140</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_K</ci>
            <apply>
               <times/>
               <ci>x</ci>
               <ci>I_K</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_dependent_potassium_current_x_gate">
      <variable initial_value="0.54" name="x" public_interface="out" units="dimensionless"/>
      <variable name="alpha_x" units="per_second"/>
      <variable name="beta_x" units="per_second"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable initial_value="0.0001" name="delta_x" units="millivolt"/>
      <variable name="E0_x" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_x</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">22</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_x</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">2.5</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_x</ci>
                     </apply>
                     <ci>delta_x</ci>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">0.5</cn>
                        <ci>E0_x</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <minus/>
                                 <ci>E0_x</ci>
                              </apply>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_x</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">2.5</cn>
                  <apply>
                     <lt/>
                     <apply>
                        <abs/>
                        <ci>E0_x</ci>
                     </apply>
                     <ci>delta_x</ci>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">0.178</cn>
                        <ci>E0_x</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>E0_x</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>x</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>alpha_x</ci>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>x</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>beta_x</ci>
                  <ci>x</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="time_independent_potassium_current">
      <variable cmeta:id="time_independent_potassium_current_i_K1" name="i_K1" public_interface="out" units="nanoA"/>
      <variable initial_value="0.75" name="g_K1" units="microS"/>
      <variable initial_value="10" name="Km_K1" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="E_K" public_interface="in" units="millivolt"/>
      <variable name="Kc" public_interface="in" units="millimolar"/>
      <variable name="RTONF" public_interface="in" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_K1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>g_K1</ci>
                        <ci>Kc</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Kc</ci>
                        <ci>Km_K1</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>V</ci>
                     <ci>E_K</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                              </apply>
                              <ci>E_K</ci>
                           </apply>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>RTONF</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_background_current">
      <variable cmeta:id="sodium_background_current_i_Na_b" name="i_Na_b" public_interface="out" units="nanoA"/>
      <variable initial_value="0.07" name="g_Nab" units="microS"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="E_Na" public_interface="in" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_Na_b</ci>
            <apply>
               <times/>
               <ci>g_Nab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Na</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="calcium_background_current">
      <variable cmeta:id="calcium_background_current_i_Ca_b" name="i_Ca_b" public_interface="out" units="nanoA"/>
      <variable name="E_Ca" public_interface="out" units="millivolt"/>
      <variable initial_value="0.01" name="g_Cab" units="microS"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="RTONF" public_interface="in" units="millivolt"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <variable name="Cao" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_Ca</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.5</cn>
               <ci>RTONF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <ci>Cao</ci>
                     <ci>Cai</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>i_Ca_b</ci>
            <apply>
               <times/>
               <ci>g_Cab</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <ci>E_Ca</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_potassium_pump">
      <variable cmeta:id="sodium_potassium_pump_i_p" name="i_p" public_interface="out" units="nanoA"/>
      <variable initial_value="50" name="I_p" units="nanoA"/>
      <variable initial_value="1" name="K_mK" units="millimolar"/>
      <variable initial_value="40" name="K_mNa" units="millimolar"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="Kc" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_p</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>I_p</ci>
                        <ci>Kc</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>K_mK</ci>
                        <ci>Kc</ci>
                     </apply>
                  </apply>
                  <ci>Nai</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>K_mNa</ci>
                  <ci>Nai</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Na_Ca_exchanger">
      <variable cmeta:id="Na_Ca_exchanger_i_NaCa" name="i_NaCa" public_interface="out" units="nanoA"/>
      <variable initial_value="3" name="n_NaCa" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.002" name="K_NaCa" units="nanoA"/>
      <variable initial_value="0.0001" name="d_NaCa" units="dimensionless"/>
      <variable initial_value="0.5" name="gamma" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="RTONF" public_interface="in" units="millivolt"/>
      <variable name="Cao" public_interface="in" units="millimolar"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="Nao" public_interface="in" units="millimolar"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_NaCa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_NaCa</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>gamma</ci>
                                 <apply>
                                    <minus/>
                                    <ci>n_NaCa</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                                 </apply>
                                 <ci>V</ci>
                              </apply>
                              <ci>RTONF</ci>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Nai</ci>
                           <ci>n_NaCa</ci>
                        </apply>
                        <ci>Cao</ci>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <ci>gamma</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <apply>
                                    <minus/>
                                    <ci>n_NaCa</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                                 </apply>
                                 <ci>V</ci>
                              </apply>
                              <ci>RTONF</ci>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Nao</ci>
                           <ci>n_NaCa</ci>
                        </apply>
                        <ci>Cai</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar4">1</cn>
                     <apply>
                        <times/>
                        <ci>d_NaCa</ci>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <ci>Cai</ci>
                              <apply>
                                 <power/>
                                 <ci>Nao</ci>
                                 <ci>n_NaCa</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>Cao</ci>
                              <apply>
                                 <power/>
                                 <ci>Nai</ci>
                                 <ci>n_NaCa</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>Cai</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.0069</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="fast_sodium_current">
      <variable cmeta:id="fast_sodium_current_i_Na" name="i_Na" public_interface="out" units="nanoA"/>
      <variable initial_value="1.25" name="g_Na" units="microS"/>
      <variable name="E_mh" units="millivolt"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="RTONF" public_interface="in" units="millivolt"/>
      <variable name="Nao" public_interface="in" units="millimolar"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="Kc" public_interface="in" units="millimolar"/>
      <variable name="Ki" public_interface="in" units="millimolar"/>
      <variable name="m" private_interface="in" units="dimensionless"/>
      <variable name="h" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E_mh</ci>
            <apply>
               <times/>
               <ci>RTONF</ci>
               <apply>
                  <ln/>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <ci>Nao</ci>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.12</cn>
                           <ci>Kc</ci>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Nai</ci>
                        <apply>
                           <times/>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.076" name="m" public_interface="out" units="dimensionless"/>
      <variable name="alpha_m" units="per_second"/>
      <variable name="beta_m" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable initial_value="1e-5" name="delta_m" units="millivolt"/>
      <variable name="E0_m" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_m</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">41</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_m</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">200</cn>
                        <ci>E0_m</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">8000</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.056</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.015" name="h" public_interface="out" units="dimensionless"/>
      <variable name="alpha_h" units="per_second"/>
      <variable name="beta_h" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_h</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">20</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.125</cn>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_h</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">2000</cn>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">320</cn>
                     <apply>
                        <exp/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1</cn>
                           </apply>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="second_inward_current_i_si" name="i_si" public_interface="out" units="nanoA"/>
      <variable name="i_siCa" public_interface="out" units="nanoA"/>
      <variable name="i_siK" public_interface="out" units="nanoA"/>
      <variable name="i_siNa" public_interface="out" units="nanoA"/>
      <variable initial_value="7.5" name="P_si" units="nanoA_per_millimolar"/>
      <variable name="time" private_interface="out" public_interface="in" units="second"/>
      <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
      <variable name="RTONF" public_interface="in" units="millivolt"/>
      <variable name="Nao" public_interface="in" units="millimolar"/>
      <variable name="Nai" public_interface="in" units="millimolar"/>
      <variable name="Kc" public_interface="in" units="millimolar"/>
      <variable name="Ki" public_interface="in" units="millimolar"/>
      <variable name="Cao" public_interface="in" units="millimolar"/>
      <variable name="Cai" private_interface="out" public_interface="in" units="millimolar"/>
      <variable name="d" private_interface="in" units="dimensionless"/>
      <variable name="f" private_interface="in" units="dimensionless"/>
      <variable name="f2" private_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_siCa</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                     <ci>P_si</ci>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>RTONF</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                                 </apply>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                              </apply>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01</cn>
                     <ci>P_si</ci>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>RTONF</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                              </apply>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01</cn>
                     <ci>P_si</ci>
                     <apply>
                        <minus/>
                        <ci>V</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>RTONF</ci>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                              </apply>
                              <apply>
                                 <minus/>
                                 <ci>V</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.0011" name="d" public_interface="out" units="dimensionless"/>
      <variable name="alpha_d" units="per_second"/>
      <variable name="beta_d" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable initial_value="0.0001" name="delta_d" units="millivolt"/>
      <variable name="E0_d" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_d</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>V</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">24</cn>
               </apply>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_d</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">30</cn>
                        <ci>E0_d</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                                 </apply>
                                 <ci>E0_d</ci>
                              </apply>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_d</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">12</cn>
                        <ci>E0_d</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>E0_d</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.785" name="f" public_interface="out" units="dimensionless"/>
      <variable name="alpha_f" units="per_second"/>
      <variable name="beta_f" units="per_second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable initial_value="0.0001" name="delta_f" units="millivolt"/>
      <variable name="E0_f" units="millivolt"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>E0_f</ci>
            <apply>
               <plus/>
               <ci>V</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">34</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_f</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">6.25</cn>
                        <ci>E0_f</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>E0_f</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>beta_f</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">50</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                           </apply>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">34</cn>
                           </apply>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="0.785" name="f2" public_interface="out" units="dimensionless"/>
      <variable initial_value="10" name="alpha_f2" units="per_second"/>
      <variable name="beta_f2" units="per_second"/>
      <variable initial_value="0.0005" name="K_mf2" units="millimolar"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="Cai" public_interface="in" units="millimolar"/>
      <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 initial_value="140" name="Nao" public_interface="out" units="millimolar"/>
   </component>
   <component name="intracellular_sodium_concentration">
      <variable initial_value="7.5" name="Nai" public_interface="out" units="millimolar"/>
      <variable initial_value="0.08" name="radius" units="micrometre"/>
      <variable initial_value="0.08" name="length" units="micrometre"/>
      <variable initial_value="0.1" name="V_e_ratio" units="dimensionless"/>
      <variable name="V_Cell" units="micrometre3"/>
      <variable name="Vi" public_interface="out" units="micrometre3"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="i_Na" public_interface="in" units="nanoA"/>
      <variable name="i_Na_b" public_interface="in" units="nanoA"/>
      <variable name="i_siNa" public_interface="in" units="nanoA"/>
      <variable name="i_p" public_interface="in" units="nanoA"/>
      <variable name="i_fNa" public_interface="in" units="nanoA"/>
      <variable name="i_NaCa" public_interface="in" units="nanoA"/>
      <variable name="n_NaCa" public_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>V_Cell</ci>
            <apply>
               <times/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3.141592654</cn>
               <apply>
                  <power/>
                  <ci>radius</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
                  <ci>Vi</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="extracellular_calcium_concentration">
      <variable initial_value="2" name="Cao" public_interface="out" units="millimolar"/>
   </component>
   <component name="intracellular_calcium_concentration">
      <variable initial_value="5.8e-5" name="Cai" public_interface="out" units="millimolar"/>
      <variable name="V_up" units="micrometre3"/>
      <variable name="V_rel" units="micrometre3"/>
      <variable name="Vi" public_interface="in" units="micrometre3"/>
      <variable name="i_up" units="nanoA"/>
      <variable name="i_tr" units="nanoA"/>
      <variable name="i_rel" units="nanoA"/>
      <variable initial_value="1.98" name="Ca_up" units="millimolar"/>
      <variable initial_value="0.55" name="Ca_rel" units="millimolar"/>
      <variable initial_value="5" name="Ca_up_max" units="millimolar"/>
      <variable initial_value="0.002" name="K_mCa" units="millimolar"/>
      <variable initial_value="0.785" name="p" units="dimensionless"/>
      <variable name="alpha_p" units="per_second"/>
      <variable name="beta_p" units="per_second"/>
      <variable name="E0_p" units="millivolt"/>
      <variable initial_value="0.005" name="tau_up" units="second"/>
      <variable initial_value="0.2" name="tau_rep" units="second"/>
      <variable initial_value="0.01" name="tau_rel" units="second"/>
      <variable initial_value="2" name="rCa" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="V" public_interface="in" units="millivolt"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="i_Ca_b" public_interface="in" units="nanoA"/>
      <variable name="i_siCa" public_interface="in" units="nanoA"/>
      <variable name="i_NaCa" public_interface="in" units="nanoA"/>
      <variable name="n_NaCa" public_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>i_up</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
                     <ci>Vi</ci>
                     <ci>F</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
                     <ci>V_rel</ci>
                     <ci>F</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">34</cn>
               </apply>
               <apply>
                  <minus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_p</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">0.625</cn>
                  <ci>E0_p</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>E0_p</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
                     </apply>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_p</ci>
            <apply>
               <divide/>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">5</cn>
               <apply>
                  <plus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                           </apply>
                           <ci>E0_p</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
                        <ci>V_rel</ci>
                        <ci>F</ci>
                     </apply>
                     <apply>
                        <times/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
                  <apply>
                     <minus/>
                     <ci>i_up</ci>
                     <ci>i_tr</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
                  <apply>
                     <minus/>
                     <ci>i_tr</ci>
                     <ci>i_rel</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                                 <ci>i_NaCa</ci>
                              </apply>
                              <apply>
                                 <minus/>
                                 <ci>n_NaCa</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                              </apply>
                           </apply>
                        </apply>
                        <ci>i_rel</ci>
                     </apply>
                     <ci>i_up</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
                  <ci>Vi</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="extracellular_potassium_concentration">
      <variable initial_value="3" name="Kc" public_interface="out" units="millimolar"/>
      <variable initial_value="0.00016077" name="V_e" units="micrometre3"/>
      <variable initial_value="3" name="Kb" units="millimolar"/>
      <variable name="i_mK" public_interface="out" units="nanoA"/>
      <variable initial_value="1" name="pf" units="per_second"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <variable name="i_K1" public_interface="in" units="nanoA"/>
      <variable name="i_K" public_interface="in" units="nanoA"/>
      <variable name="i_fK" public_interface="in" units="nanoA"/>
      <variable name="i_siK" public_interface="in" units="nanoA"/>
      <variable name="i_p" public_interface="in" units="nanoA"/>
      <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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  <ci>i_p</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Kc</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>pf</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>Kc</ci>
                     <ci>Kb</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
                     <ci>i_mK</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
                     <ci>V_e</ci>
                     <ci>F</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="intracellular_potassium_concentration">
      <variable initial_value="140" name="Ki" public_interface="out" units="millimolar"/>
      <variable name="Vi" public_interface="in" units="micrometre3"/>
      <variable name="i_mK" public_interface="in" units="nanoA"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="F" public_interface="in" units="coulomb_per_mole"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ki</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
                  </apply>
                  <ci>i_mK</ci>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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_1="membrane" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="time_dependent_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_sodium_concentration" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_calcium_concentration" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="extracellular_potassium_concentration" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_potassium_concentration" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="RTONF" variable_2="RTONF"/>
      <map_variables variable_1="i_f" variable_2="i_f"/>
   </connection>
   <connection>
      <map_components component_1="time_dependent_potassium_current" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_K" variable_2="i_K"/>
      <map_variables variable_1="RTONF" variable_2="RTONF"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="RTONF" variable_2="RTONF"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="RTONF" variable_2="RTONF"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_p" variable_2="i_p"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
      <map_variables variable_1="RTONF" variable_2="RTONF"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
      <map_variables variable_1="RTONF" variable_2="RTONF"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="i_si" variable_2="i_si"/>
      <map_variables variable_1="RTONF" variable_2="RTONF"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_sodium_concentration" component_2="membrane"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_calcium_concentration" component_2="membrane"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="extracellular_potassium_concentration" component_2="membrane"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_potassium_concentration" component_2="membrane"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="extracellular_potassium_concentration"/>
      <map_variables variable_1="Kc" variable_2="Kc"/>
      <map_variables variable_1="i_fK" variable_2="i_fK"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="intracellular_potassium_concentration"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="time_independent_potassium_current"/>
      <map_variables variable_1="E_K" variable_2="E_K"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="sodium_background_current"/>
      <map_variables variable_1="E_Na" variable_2="E_Na"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="intracellular_sodium_concentration"/>
      <map_variables variable_1="i_fNa" variable_2="i_fNa"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="extracellular_sodium_concentration"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="extracellular_calcium_concentration"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
   </connection>
   <connection>
      <map_components component_1="time_dependent_potassium_current" component_2="extracellular_potassium_concentration"/>
      <map_variables variable_1="Kc" variable_2="Kc"/>
      <map_variables variable_1="i_K" variable_2="i_K"/>
   </connection>
   <connection>
      <map_components component_1="time_dependent_potassium_current" component_2="intracellular_potassium_concentration"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
   </connection>
   <connection>
      <map_components component_1="time_independent_potassium_current" component_2="extracellular_potassium_concentration"/>
      <map_variables variable_1="Kc" variable_2="Kc"/>
      <map_variables variable_1="i_K1" variable_2="i_K1"/>
   </connection>
   <connection>
      <map_components component_1="sodium_background_current" component_2="intracellular_sodium_concentration"/>
      <map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
   </connection>
   <connection>
      <map_components component_1="calcium_background_current" component_2="intracellular_calcium_concentration"/>
      <map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="extracellular_potassium_concentration"/>
      <map_variables variable_1="i_p" variable_2="i_p"/>
      <map_variables variable_1="Kc" variable_2="Kc"/>
   </connection>
   <connection>
      <map_components component_1="sodium_potassium_pump" component_2="intracellular_sodium_concentration"/>
      <map_variables variable_1="i_p" variable_2="i_p"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="extracellular_sodium_concentration"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="extracellular_calcium_concentration"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="intracellular_sodium_concentration"/>
      <map_variables variable_1="n_NaCa" variable_2="n_NaCa"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="Na_Ca_exchanger" component_2="intracellular_calcium_concentration"/>
      <map_variables variable_1="n_NaCa" variable_2="n_NaCa"/>
      <map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="intracellular_sodium_concentration"/>
      <map_variables variable_1="i_Na" variable_2="i_Na"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="intracellular_potassium_concentration"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="extracellular_potassium_concentration"/>
      <map_variables variable_1="Kc" variable_2="Kc"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="extracellular_sodium_concentration"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="intracellular_calcium_concentration"/>
      <map_variables variable_1="i_siCa" variable_2="i_siCa"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="extracellular_calcium_concentration"/>
      <map_variables variable_1="Cao" variable_2="Cao"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="extracellular_sodium_concentration"/>
      <map_variables variable_1="Nao" variable_2="Nao"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="extracellular_potassium_concentration"/>
      <map_variables variable_1="i_siK" variable_2="i_siK"/>
      <map_variables variable_1="Kc" variable_2="Kc"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="intracellular_sodium_concentration"/>
      <map_variables variable_1="i_siNa" variable_2="i_siNa"/>
      <map_variables variable_1="Nai" variable_2="Nai"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="intracellular_potassium_concentration"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
   </connection>
   <connection>
      <map_components component_1="hyperpolarising_activated_current" component_2="hyperpolarising_activated_current_y_gate"/>
      <map_variables variable_1="y" variable_2="y"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="time_dependent_potassium_current" component_2="time_dependent_potassium_current_x_gate"/>
      <map_variables variable_1="x" variable_2="x"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_m_gate"/>
      <map_variables variable_1="m" variable_2="m"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_h_gate"/>
      <map_variables variable_1="h" variable_2="h"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="second_inward_current_d_gate"/>
      <map_variables variable_1="d" variable_2="d"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="second_inward_current_f_gate"/>
      <map_variables variable_1="f" variable_2="f"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
   <connection>
      <map_components component_1="second_inward_current" component_2="second_inward_current_f2_gate"/>
      <map_variables variable_1="f2" variable_2="f2"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="Cai" variable_2="Cai"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_sodium_concentration" component_2="intracellular_calcium_concentration"/>
      <map_variables variable_1="Vi" variable_2="Vi"/>
   </connection>
   <connection>
      <map_components component_1="intracellular_sodium_concentration" component_2="intracellular_potassium_concentration"/>
      <map_variables variable_1="Vi" variable_2="Vi"/>
   </connection>
   <connection>
      <map_components component_1="extracellular_potassium_concentration" component_2="intracellular_potassium_concentration"/>
      <map_variables variable_1="i_mK" variable_2="i_mK"/>
   </connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
  <rdf:Seq rdf:about="rdf:#6c284e19-6618-4d67-b865-8d211f413dbe">
    <rdf:li rdf:resource="rdf:#f7a19571-7e61-4289-a26b-8184fdb8bdc8"/>
    <rdf:li rdf:resource="rdf:#01565c90-cefa-4dc0-a84f-e8a4a57bdf06"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#c321e089-0dd1-41cb-936e-9721fe481503">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2006-03-31</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c78b5060-05b6-4905-8453-0eb13b3808c4">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2007-12-04T15:32:58+13:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#11d9d344-a217-4f19-a501-8d8830d7a2a4">
    <vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">James Lawson</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8065678d-3e07-4549-838f-6822da457679">
    <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#c78b5060-05b6-4905-8453-0eb13b3808c4"/>
    <rdf:value>Units checked, curated.</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#0bbda771-2d02-443d-920f-8d3af6996f73"/>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher xmlns:dc="http://purl.org/dc/elements/1.1/">Department of Physiology, Anatomy &amp; Genetics, University of Oxford</dc:publisher>
    <cmeta:comment rdf:resource="rdf:#551a27ef-426e-47d2-b695-1ac3c5f60af6"/>
    <dcterms:created xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#29f41fe7-e366-48cf-8012-9e39d453e852"/>
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#2701cb22-c051-4a79-ac5a-5a6eb4438ddd"/>
    <cmeta:modification rdf:resource="rdf:#8065678d-3e07-4549-838f-6822da457679"/>
  </rdf:Description>
  <rdf:Description rdf:about="#noble_noble_1984">
    <ns7:simulation xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" rdf:resource="rdf:#$wuzx12"/>
    <bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:resource="rdf:#e2bd9e5a-84bb-4bac-8cd5-62d2540175a2"/>
<bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource">
  <dc:subject xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>
      <rdf:Bag>
        <rdf:li>cardiac</rdf:li>
        <rdf:li>electrophysiology</rdf:li>
        <rdf:li>Sinoatrial Node</rdf:li>
        <rdf:li>sinoatrial node</rdf:li>
      </rdf:Bag>
    </rdf:value>
  </dc:subject>
</bqs:reference>
    <cmeta:comment rdf:resource="rdf:#67db23fc-965b-41e8-8464-9098153df1c1"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2701cb22-c051-4a79-ac5a-5a6eb4438ddd">
    <vCard:ORG xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#8c6d2d18-8c5f-492c-acb0-f7761eec5a6c"/>
    <vCard:EMAIL xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#9eac888f-becf-4e76-8569-8a4af94049cd"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#7ff1f59a-747a-4197-806d-2d607a79a191"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9a8a31f9-2cb8-4307-8637-6164c397d4c7">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Peter</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Villiger</vCard:Family>
    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a557167c-b2ed-468b-904e-abffa1a63c1c">
    <vCard:Orgname xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Oxford University</vCard:Orgname>
    <vCard:Orgunit xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">unknown</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$wuzx12">
    <ns7:boundIntervals xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" rdf:resource="rdf:#$xuzx12"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c78df153-21bc-4e4c-9418-d087e8f376e2">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">S</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Noble</vCard:Family>
    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0bbda771-2d02-443d-920f-8d3af6996f73">
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#2d0819ac-8f65-4fda-950c-1b9081ea4748"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b73350c0-5531-4b8d-9414-1c865cd69cf1">
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#9a8a31f9-2cb8-4307-8637-6164c397d4c7"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#551a27ef-426e-47d2-b695-1ac3c5f60af6">
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#6e365618-f3a1-40d4-9ff6-f62ddf3e7ee3"/>
    <rdf:value>This model has been curated by Penny Noble of Oxford University and is known to run in PCEnv and COR and reproduce the results published in the paper it is based on.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fc1f8d02-de9a-4bbb-8ec8-89d8562143ae">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">D</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Noble</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$yuzx12">
    <ns7:nonstandard-pointDensity xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#">100000</ns7:nonstandard-pointDensity>
    <ns7:maximumStepSize xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#">0.001</ns7:maximumStepSize>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#67db23fc-965b-41e8-8464-9098153df1c1">
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#11d9d344-a217-4f19-a501-8d8830d7a2a4"/>
    <rdf:value>This file is a CellML description of the model described in the paper "A Model of Sino-Atrial Node Electrical Activity Based on a Modification of the DiFrancesco-Noble (1984) Equations" by D. Noble and S.J. Noble</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c6cb8f26-de4e-4d34-8910-eecf182ac559">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>penny.noble@physiol.ox.ac.uk</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b6aa86c3-a885-4494-8481-cfa778867ff9">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2005-07-05</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e6477bc6-1144-470e-8994-50a5dfef3a00">
    <vCard:ORG xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#a557167c-b2ed-468b-904e-abffa1a63c1c"/>
    <vCard:EMAIL xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#c6cb8f26-de4e-4d34-8910-eecf182ac559"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#cf8f6af3-14ac-4d0c-8ea5-556269bfba9c"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8c6d2d18-8c5f-492c-acb0-f7761eec5a6c">
    <vCard:Orgname xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Oxford University</vCard:Orgname>
    <vCard:Orgunit xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Department of Physiology, Anatomy &amp; Genetics</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <cmeta:modification rdf:resource="rdf:#7bd099ca-391d-4716-a7a0-4e93da55e36d"/>
    <dcterms:created xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#b6aa86c3-a885-4494-8481-cfa778867ff9"/>
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#e6477bc6-1144-470e-8994-50a5dfef3a00"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#29f41fe7-e366-48cf-8012-9e39d453e852">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2007-09-20T00:00:00+00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#49bd8ff2-c54e-45c9-b1f6-245066a546bd">
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#6c284e19-6618-4d67-b865-8d211f413dbe"/>
    <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">A Model of Sino-Atrial Node Electrical Activity Based on a Modification of the DiFrancesco-Noble (1984) Equations</dc:title>
    <bqs:volume xmlns:bqs="http://www.cellml.org/bqs/1.0#">222</bqs:volume>
    <bqs:first_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">295</bqs:first_page>
    <bqs:Journal xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:resource="rdf:#901778a4-35be-4d05-b268-19f7b3aecea7"/>
    <dcterms:issued xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#058ec306-e9f9-4d66-97bc-1c9a48ed7f73"/>
    <bqs:last_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">304</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7ff1f59a-747a-4197-806d-2d607a79a191">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Penny</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Noble</vCard:Family>
    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#058ec306-e9f9-4d66-97bc-1c9a48ed7f73">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">1984-09-22</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#cf8f6af3-14ac-4d0c-8ea5-556269bfba9c">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Penny</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Noble</vCard:Family>
    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">unknown</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#901778a4-35be-4d05-b268-19f7b3aecea7">
    <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Proceedings of the Royal Society of London. Series B, Biological Sciences</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#6e365618-f3a1-40d4-9ff6-f62ddf3e7ee3">
    <vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">James Lawson</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#f7a19571-7e61-4289-a26b-8184fdb8bdc8">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#fc1f8d02-de9a-4bbb-8ec8-89d8562143ae"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$xuzx12">
    <rdf:rest rdf:resource="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/>
    <rdf:first rdf:resource="rdf:#$yuzx12"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e2bd9e5a-84bb-4bac-8cd5-62d2540175a2">
    <bqs:Pubmed_id xmlns:bqs="http://www.cellml.org/bqs/1.0#"/>
    <bqs:JournalArticle xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:resource="rdf:#49bd8ff2-c54e-45c9-b1f6-245066a546bd"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9eac888f-becf-4e76-8569-8a4af94049cd">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>penny.noble@dpag.ox.ac.uk</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#01565c90-cefa-4dc0-a84f-e8a4a57bdf06">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#c78df153-21bc-4e4c-9418-d087e8f376e2"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2d0819ac-8f65-4fda-950c-1b9081ea4748">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Penny</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Noble</vCard:Family>
    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7bd099ca-391d-4716-a7a0-4e93da55e36d">
    <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#c321e089-0dd1-41cb-936e-9721fe481503"/>
    <rdf:value>added metadata</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#b73350c0-5531-4b8d-9414-1c865cd69cf1"/>
  </rdf:Description>
</rdf:RDF>
</model>