Location: semantic-annotation @ 6ae217019bf5 / Hilgemann_1987.cellml

Author:
Dewan Sarwar <sarwarcse@gmail.com>
Date:
2019-02-07 13:16:58+13:00
Desc:
change PR id for warren model
Permanent Source URI:
https://models.physiomeproject.org/workspace/267/rawfile/6ae217019bf59fc1e22e2dc5235751c6fcf6be24/Hilgemann_1987.cellml

<?xml version="1.0" encoding="UTF-8"?>
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  <documentation xmlns="http://cellml.org/tmp-documentation">
    <article>
      <articleinfo>
        <title>Hilemann-Noble Atrial Cell Model 1987</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 is known to run in OpenCell and COR and reproduce the published results.</para>
      </section>
      <sect1 id="sec_structure">
        <title>Model Structure</title>
        <para>ABSTRACT: Interactions of electrogenic sodium-calcium exchange, calcium channel and sarcoplasmic reticulum in the mammalian heart have been explored by simulation of extracellular calcium transients measured with tetramethylmurexide in rabbit atrium. The approach has been to use the simplest possible formulations of these mechanisms, which together with a minimum number of additional mechanisms allow reconstruction of action potentials, intracellular calcium transients and extracellular calcium transients. A 3:1 sodium-calcium exchange stoichiometry is assumed. Calcium-channel inactivation is assumed to take place by a voltage-dependent mechanism, which is accelerated by a rise in intracellular calcium; intracellular calcium release becomes a major physiological regulator of calcium influx via calcium channels. A calcium release mechanism is assumed, which is both calcium- and voltage-sensitive, and which undergoes prolonged inactivation. 200 microM cytosolic calcium buffer is assumed. For most simulations only instantaneous potassium conductances are simulated so as to study the other mechanisms independently of time- and calcium-dependent outward current. Thus, the model reconstructs extracellular calcium transients and typical action-potential configuration changes during steady-state and non-steady-state stimulation from the mechanisms directly involved in trans-sarcolemmal calcium movements. The model predicts relatively small trans-sarcolemmal calcium movements during regular stimulation (ca. 2 mumol kg-1 fresh mass per excitation); calcium current is fully activated within 2 ms of excitation, inactivation is substantially complete within 30 ms, and sodium-calcium exchange significantly resists repolarization from approximately -30 mV. Net calcium movements many times larger are possible during non-steady-state stimulation. Long action potentials at premature excitations or after inhibition of calcium release can be supported almost exclusively by calcium current (net calcium influx 5-30 mumol kg-1 fresh mass); action potentials during potentiated post-stimulatory contractions can be supported almost exclusively by sodium-calcium exchange (net calcium efflux 4-20 mumol kg-1 fresh mass). Large calcium movements between the extracellular space and the sarcoplasmic reticulum can take place through the cytosol with virtually no contractile activation. The simulations provide integrated explanations of electrical activity, contractile function and trans-sarcolemmal calcium movements, which were outside the explanatory range of previous models.</para>
        <para>The original paper reference is cited below:</para>
        <para>
          Excitation-contraction coupling and extracellular calcium transients in rabbit atrium: reconstruction of the basic cellular mechanisms, Hilemann, D.W. and Noble, D. 1987,
          <emphasis>Proc. R. Soc. Lond.</emphasis>
          , B230, 163-205.
          <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=2884668&amp;dopt=Abstract">PubMed ID: 2884668</ulink>
        </para>
        <informalfigure float="0" id="fig_cell_diagram">
          <mediaobject>
            <imageobject>
              <objectinfo>
                <title>cell diagram of the Hilemann-Noble model showing ionic currents across the sarcolemma</title>
              </objectinfo>
              <imagedata fileref="hilgemann_noble_1987.png" />
            </imageobject>
          </mediaobject>
          <caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Hilemann-Noble model.</caption>
        </informalfigure>
      </sect1>
    </article>
  </documentation>
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              <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="sodium_background_current">
    <variable cmeta:id="sodium_background_current.E_Na" name="E_Na" public_interface="out" units="millivolt" />
    <variable cmeta:id="sodium_background_current.RTONF" name="RTONF" public_interface="in" units="millivolt" />
    <variable cmeta:id="sodium_background_current.Na_o" name="Na_o" public_interface="in" units="millimolar" />
    <variable cmeta:id="sodium_background_current.g_b_Na" name="g_b_Na" units="microS" />
    <variable cmeta:id="sodium_background_current.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="sodium_background_current.Na_i" name="Na_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="sodium_background_current.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="sodium_background_current_i_b_Na" name="i_b_Na" public_interface="out" units="nanoA" />
    <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>Na_o</ci>
              <ci>Na_i</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_b_Na</ci>
        <apply>
          <times />
          <ci>g_b_Na</ci>
          <apply>
            <minus />
            <ci>V</ci>
            <ci>E_Na</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="fast_sodium_current">
    <variable cmeta:id="fast_sodium_current.g_Na" name="g_Na" units="microS" />
    <variable cmeta:id="fast_sodium_current.K_i" name="K_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="fast_sodium_current_i_Na" name="i_Na" public_interface="out" units="nanoA" />
    <variable cmeta:id="fast_sodium_current.m" name="m" private_interface="in" units="dimensionless" />
    <variable cmeta:id="fast_sodium_current.Na_o" name="Na_o" public_interface="in" units="millimolar" />
    <variable cmeta:id="fast_sodium_current.E_mh" name="E_mh" units="millivolt" />
    <variable cmeta:id="fast_sodium_current.time" name="time" public_interface="in" private_interface="out" units="second" />
    <variable cmeta:id="fast_sodium_current.V" name="V" public_interface="in" private_interface="out" units="millivolt" />
    <variable cmeta:id="fast_sodium_current.Na_i" name="Na_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="fast_sodium_current.K_c" name="K_c" public_interface="in" units="millimolar" />
    <variable cmeta:id="fast_sodium_current.RTONF" name="RTONF" public_interface="in" units="millivolt" />
    <variable cmeta:id="fast_sodium_current.h" 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>Na_o</ci>
                <apply>
                  <times />
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.12</cn>
                  <ci>K_c</ci>
                </apply>
              </apply>
              <apply>
                <plus />
                <ci>Na_i</ci>
                <apply>
                  <times />
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.12</cn>
                  <ci>K_i</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 cmeta:id="fast_sodium_current_m_gate.m" name="m" public_interface="out" units="dimensionless" />
    <variable cmeta:id="fast_sodium_current_m_gate.beta_m" name="beta_m" units="per_second" />
    <variable cmeta:id="fast_sodium_current_m_gate.alpha_m" name="alpha_m" units="per_second" />
    <variable cmeta:id="fast_sodium_current_m_gate.E0_m" name="E0_m" units="millivolt" />
    <variable cmeta:id="fast_sodium_current_m_gate.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="fast_sodium_current_m_gate.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="fast_sodium_current_m_gate.delta_m" name="delta_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="intracellular_potassium_concentration">
    <variable cmeta:id="intracellular_potassium_concentration.i_NaK" name="i_NaK" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_potassium_concentration.i_siK" name="i_siK" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_potassium_concentration.F" name="F" public_interface="in" units="coulomb_per_mole" />
    <variable cmeta:id="intracellular_potassium_concentration.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="intracellular_potassium_concentration.K_i" name="K_i" public_interface="out" units="millimolar" />
    <variable cmeta:id="intracellular_potassium_concentration.V_i" name="V_i" public_interface="in" units="micrometre3" />
    <variable cmeta:id="intracellular_potassium_concentration.i_b_K" name="i_b_K" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_potassium_concentration.i_K1" name="i_K1" public_interface="in" units="nanoA" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>K_i</ci>
        </apply>
        <apply>
          <times />
          <apply>
            <divide />
            <apply>
              <minus />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
            </apply>
            <apply>
              <times />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
              <ci>V_i</ci>
              <ci>F</ci>
            </apply>
          </apply>
          <apply>
            <minus />
            <apply>
              <plus />
              <ci>i_K1</ci>
              <ci>i_siK</ci>
              <ci>i_b_K</ci>
            </apply>
            <apply>
              <times />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
              <ci>i_NaK</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="sarcoplasmic_reticulum_calcium_pump">
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.beta_up" name="beta_up" units="millimolar_per_second" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.i_up" name="i_up" public_interface="out" units="millimolar_per_second" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.K_srca" name="K_srca" units="millimolar" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.Ca_i" name="Ca_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.Ca_up" name="Ca_up" public_interface="in" units="millimolar" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.K_2" name="K_2" units="millimolar" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.K_1" name="K_1" units="dimensionless" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.K_cyca" name="K_cyca" units="millimolar" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.alpha_up" name="alpha_up" units="millimolar_per_second" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="sarcoplasmic_reticulum_calcium_pump.K_xcs" name="K_xcs" units="dimensionless" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <ci>K_1</ci>
        <apply>
          <divide />
          <apply>
            <times />
            <ci>K_cyca</ci>
            <ci>K_xcs</ci>
          </apply>
          <ci>K_srca</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>K_2</ci>
        <apply>
          <plus />
          <ci>Ca_i</ci>
          <apply>
            <times />
            <ci>Ca_up</ci>
            <ci>K_1</ci>
          </apply>
          <apply>
            <times />
            <ci>K_cyca</ci>
            <ci>K_xcs</ci>
          </apply>
          <ci>K_cyca</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_up</ci>
        <apply>
          <minus />
          <apply>
            <times />
            <apply>
              <divide />
              <ci>Ca_i</ci>
              <ci>K_2</ci>
            </apply>
            <ci>alpha_up</ci>
          </apply>
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>Ca_up</ci>
                <ci>K_1</ci>
              </apply>
              <ci>K_2</ci>
            </apply>
            <ci>beta_up</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="calcium_background_current">
    <variable cmeta:id="calcium_background_current.Ca_o" name="Ca_o" public_interface="in" units="millimolar" />
    <variable cmeta:id="calcium_background_current.g_b_Ca" name="g_b_Ca" units="microS" />
    <variable cmeta:id="calcium_background_current.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="calcium_background_current.Ca_i" name="Ca_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="calcium_background_current.E_Ca" name="E_Ca" public_interface="out" units="millivolt" />
    <variable cmeta:id="calcium_background_current.RTONF" name="RTONF" public_interface="in" units="millivolt" />
    <variable cmeta:id="calcium_background_current.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="calcium_background_current_i_b_Ca" name="i_b_Ca" public_interface="out" units="nanoA" />
    <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>Ca_o</ci>
              <ci>Ca_i</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_b_Ca</ci>
        <apply>
          <times />
          <ci>g_b_Ca</ci>
          <apply>
            <minus />
            <ci>V</ci>
            <ci>E_Ca</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="membrane">
    <variable cmeta:id="membrane.C_m" name="C_m" units="microF" />
    <variable cmeta:id="membrane_V" name="V" public_interface="out" units="millivolt" />
    <variable cmeta:id="membrane.T" name="T" public_interface="out" units="kelvin" />
    <variable cmeta:id="membrane.i_b_K" name="i_b_K" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.R" name="R" public_interface="out" units="joule_per_kilomole_kelvin" />
    <variable cmeta:id="membrane.i_si" name="i_si" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.i_NaCa" name="i_NaCa" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.i_Na" name="i_Na" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.stim_duration" name="stim_duration" units="second" />
    <variable cmeta:id="membrane.stim_start" name="stim_start" units="second" />
    <variable cmeta:id="membrane.F" name="F" public_interface="out" units="coulomb_per_mole" />
    <variable cmeta:id="membrane.i_NaK" name="i_NaK" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.i_b_Na" name="i_b_Na" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.stim_amplitude" name="stim_amplitude" units="nanoA" />
    <variable cmeta:id="membrane.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="membrane.RTONF" name="RTONF" public_interface="out" units="millivolt" />
    <variable cmeta:id="membrane.i_K1" name="i_K1" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.i_Stim" name="i_Stim" units="nanoA" />
    <variable cmeta:id="membrane.stim_period" name="stim_period" units="second" />
    <variable cmeta:id="membrane.i_b_Ca" name="i_b_Ca" public_interface="in" units="nanoA" />
    <variable cmeta:id="membrane.stim_end" name="stim_end" units="second" />
    <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 />
        <ci>i_Stim</ci>
        <piecewise>
          <piece>
            <ci>stim_amplitude</ci>
            <apply>
              <and />
              <apply>
                <geq />
                <ci>time</ci>
                <ci>stim_start</ci>
              </apply>
              <apply>
                <leq />
                <ci>time</ci>
                <ci>stim_end</ci>
              </apply>
              <apply>
                <leq />
                <apply>
                  <minus />
                  <apply>
                    <minus />
                    <ci>time</ci>
                    <ci>stim_start</ci>
                  </apply>
                  <apply>
                    <times />
                    <apply>
                      <floor />
                      <apply>
                        <divide />
                        <apply>
                          <minus />
                          <ci>time</ci>
                          <ci>stim_start</ci>
                        </apply>
                        <ci>stim_period</ci>
                      </apply>
                    </apply>
                    <ci>stim_period</ci>
                  </apply>
                </apply>
                <ci>stim_duration</ci>
              </apply>
            </apply>
          </piece>
          <otherwise>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="nanoA">0</cn>
          </otherwise>
        </piecewise>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>V</ci>
        </apply>
        <apply>
          <divide />
          <apply>
            <minus />
            <apply>
              <plus />
              <ci>i_Stim</ci>
              <ci>i_K1</ci>
              <ci>i_b_Na</ci>
              <ci>i_b_Ca</ci>
              <ci>i_b_K</ci>
              <ci>i_NaK</ci>
              <ci>i_NaCa</ci>
              <ci>i_Na</ci>
              <ci>i_si</ci>
            </apply>
          </apply>
          <ci>C_m</ci>
        </apply>
      </apply>
    </math>
  </component>
  <component name="time_independent_potassium_current">
    <variable cmeta:id="time_independent_potassium_current.RTONF" name="RTONF" public_interface="in" units="millivolt" />
    <variable cmeta:id="time_independent_potassium_current.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="time_independent_potassium_current.K_i" name="K_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="time_independent_potassium_current.E_K" name="E_K" public_interface="out" units="millivolt" />
    <variable cmeta:id="time_independent_potassium_current.K_m_K1" name="K_m_K1" units="millimolar" />
    <variable cmeta:id="time_independent_potassium_current.K_c" name="K_c" public_interface="in" units="millimolar" />
    <variable cmeta:id="time_independent_potassium_current.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="time_independent_potassium_current_i_K1" name="i_K1" public_interface="out" units="nanoA" />
    <variable cmeta:id="time_independent_potassium_current.g_K1" name="g_K1" units="microS" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <ci>E_K</ci>
        <apply>
          <times />
          <ci>RTONF</ci>
          <apply>
            <ln />
            <apply>
              <divide />
              <ci>K_c</ci>
              <ci>K_i</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_K1</ci>
        <apply>
          <divide />
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>g_K1</ci>
                <ci>K_c</ci>
              </apply>
              <apply>
                <plus />
                <ci>K_c</ci>
                <ci>K_m_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>
                      <minus />
                      <ci>V</ci>
                      <ci>E_K</ci>
                    </apply>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</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>
    </math>
  </component>
  <component name="intracellular_calcium_concentration">
    <variable cmeta:id="intracellular_calcium_concentration.V_Cell" name="V_Cell" units="micrometre3" />
    <variable cmeta:id="intracellular_calcium_concentration.F" name="F" public_interface="in" units="coulomb_per_mole" />
    <variable cmeta:id="intracellular_calcium_concentration.beta_Trop" name="beta_Trop" units="per_second" />
    <variable cmeta:id="intracellular_calcium_concentration_Ca_i" name="Ca_i" public_interface="out" units="millimolar" />
    <variable cmeta:id="intracellular_calcium_concentration.alpha_Trop" name="alpha_Trop" units="per_millimolar_second" />
    <variable cmeta:id="intracellular_calcium_concentration.Ca_Calmod" name="Ca_Calmod" units="millimolar" />
    <variable cmeta:id="intracellular_calcium_concentration.i_b_Ca" name="i_b_Ca" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_calcium_concentration.Trop" name="Trop" units="millimolar" />
    <variable cmeta:id="intracellular_calcium_concentration.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="intracellular_calcium_concentration.Ca_rel" name="Ca_rel" public_interface="out" units="millimolar" />
    <variable cmeta:id="intracellular_calcium_concentration.Ca_Trop" name="Ca_Trop" units="millimolar" />
    <variable cmeta:id="intracellular_calcium_concentration.dCaTropdt" name="dCaTropdt" units="millimolar_per_second" />
    <variable cmeta:id="intracellular_calcium_concentration.V_e_ratio" name="V_e_ratio" units="dimensionless" />
    <variable cmeta:id="intracellular_calcium_concentration.i_up" name="i_up" public_interface="in" units="millimolar_per_second" />
    <variable cmeta:id="intracellular_calcium_concentration.Calmod" name="Calmod" units="millimolar" />
    <variable cmeta:id="intracellular_calcium_concentration.i_NaCa" name="i_NaCa" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_calcium_concentration.length" name="length" units="micrometre" />
    <variable cmeta:id="intracellular_calcium_concentration.alpha_Calmod" name="alpha_Calmod" units="per_millimolar_second" />
    <variable cmeta:id="intracellular_calcium_concentration.Ca_up" name="Ca_up" public_interface="out" units="millimolar" />
    <variable cmeta:id="intracellular_calcium_concentration.V_i_ratio" name="V_i_ratio" units="dimensionless" />
    <variable cmeta:id="intracellular_calcium_concentration.V_rel_ratio" name="V_rel_ratio" units="dimensionless" />
    <variable cmeta:id="intracellular_calcium_concentration.V_i" name="V_i" public_interface="out" units="micrometre3" />
    <variable cmeta:id="intracellular_calcium_concentration.i_siCa" name="i_siCa" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_calcium_concentration.Ve" name="Ve" public_interface="out" units="micrometre3" />
    <variable cmeta:id="intracellular_calcium_concentration.radius" name="radius" units="micrometre" />
    <variable cmeta:id="intracellular_calcium_concentration.dCaCalmoddt" name="dCaCalmoddt" units="millimolar_per_second" />
    <variable cmeta:id="intracellular_calcium_concentration.V_up_ratio" name="V_up_ratio" units="dimensionless" />
    <variable cmeta:id="intracellular_calcium_concentration.beta_Calmod" name="beta_Calmod" units="per_second" />
    <variable cmeta:id="intracellular_calcium_concentration.i_trans" name="i_trans" public_interface="in" units="millimolar_per_second" />
    <variable cmeta:id="intracellular_calcium_concentration.i_rel" name="i_rel" public_interface="in" units="millimolar_per_second" />
    <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>V_i_ratio</ci>
        <apply>
          <minus />
          <apply>
            <minus />
            <apply>
              <minus />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
              <ci>V_e_ratio</ci>
            </apply>
            <ci>V_up_ratio</ci>
          </apply>
          <ci>V_rel_ratio</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>V_i</ci>
        <apply>
          <times />
          <ci>V_Cell</ci>
          <ci>V_i_ratio</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>Ve</ci>
        <apply>
          <times />
          <ci>V_Cell</ci>
          <ci>V_e_ratio</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Ca_i</ci>
        </apply>
        <apply>
          <minus />
          <apply>
            <minus />
            <apply>
              <minus />
              <apply>
                <plus />
                <apply>
                  <times />
                  <apply>
                    <divide />
                    <apply>
                      <minus />
                      <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
                    </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_i</ci>
                      <ci>F</ci>
                    </apply>
                  </apply>
                  <apply>
                    <minus />
                    <apply>
                      <plus />
                      <ci>i_siCa</ci>
                      <ci>i_b_Ca</ci>
                    </apply>
                    <apply>
                      <times />
                      <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                      <ci>i_NaCa</ci>
                    </apply>
                  </apply>
                </apply>
                <apply>
                  <divide />
                  <apply>
                    <times />
                    <ci>i_rel</ci>
                    <ci>V_rel_ratio</ci>
                  </apply>
                  <ci>V_i_ratio</ci>
                </apply>
              </apply>
              <ci>dCaCalmoddt</ci>
            </apply>
            <ci>dCaTropdt</ci>
          </apply>
          <ci>i_up</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Ca_up</ci>
        </apply>
        <apply>
          <minus />
          <apply>
            <times />
            <apply>
              <divide />
              <ci>V_i_ratio</ci>
              <ci>V_up_ratio</ci>
            </apply>
            <ci>i_up</ci>
          </apply>
          <ci>i_trans</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Ca_rel</ci>
        </apply>
        <apply>
          <minus />
          <apply>
            <times />
            <apply>
              <divide />
              <ci>V_up_ratio</ci>
              <ci>V_rel_ratio</ci>
            </apply>
            <ci>i_trans</ci>
          </apply>
          <ci>i_rel</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Ca_Calmod</ci>
        </apply>
        <apply>
          <minus />
          <apply>
            <times />
            <ci>alpha_Calmod</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus />
              <ci>Calmod</ci>
              <ci>Ca_Calmod</ci>
            </apply>
          </apply>
          <apply>
            <times />
            <ci>beta_Calmod</ci>
            <ci>Ca_Calmod</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Ca_Trop</ci>
        </apply>
        <apply>
          <minus />
          <apply>
            <times />
            <ci>alpha_Trop</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus />
              <ci>Trop</ci>
              <ci>Ca_Trop</ci>
            </apply>
          </apply>
          <apply>
            <times />
            <ci>beta_Trop</ci>
            <ci>Ca_Trop</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>dCaCalmoddt</ci>
        <apply>
          <minus />
          <apply>
            <times />
            <ci>alpha_Calmod</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus />
              <ci>Calmod</ci>
              <ci>Ca_Calmod</ci>
            </apply>
          </apply>
          <apply>
            <times />
            <ci>beta_Calmod</ci>
            <ci>Ca_Calmod</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>dCaTropdt</ci>
        <apply>
          <minus />
          <apply>
            <times />
            <ci>alpha_Trop</ci>
            <ci>Ca_i</ci>
            <apply>
              <minus />
              <ci>Trop</ci>
              <ci>Ca_Trop</ci>
            </apply>
          </apply>
          <apply>
            <times />
            <ci>beta_Trop</ci>
            <ci>Ca_Trop</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="Na_Ca_exchanger">
    <variable cmeta:id="Na_Ca_exchanger.d_NaCa" name="d_NaCa" units="dimensionless" />
    <variable cmeta:id="Na_Ca_exchanger.Na_o" name="Na_o" public_interface="in" units="millimolar" />
    <variable cmeta:id="Na_Ca_exchanger.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="Na_Ca_exchanger_i_NaCa" name="i_NaCa" public_interface="out" units="nanoA" />
    <variable cmeta:id="Na_Ca_exchanger.n_NaCa" name="n_NaCa" units="dimensionless" />
    <variable cmeta:id="Na_Ca_exchanger.Ca_o" name="Ca_o" public_interface="in" units="millimolar" />
    <variable cmeta:id="Na_Ca_exchanger.k_NaCa" name="k_NaCa" units="nanoA" />
    <variable cmeta:id="Na_Ca_exchanger.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="Na_Ca_exchanger.Ca_i" name="Ca_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="Na_Ca_exchanger.RTONF" name="RTONF" public_interface="in" units="millivolt" />
    <variable cmeta:id="Na_Ca_exchanger.gamma" name="gamma" units="dimensionless" />
    <variable cmeta:id="Na_Ca_exchanger.Na_i" name="Na_i" 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>Na_i</ci>
                  <ci>n_NaCa</ci>
                </apply>
                <ci>Ca_o</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>Na_o</ci>
                  <ci>n_NaCa</ci>
                </apply>
                <ci>Ca_i</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>Ca_i</ci>
                    <apply>
                      <power />
                      <ci>Na_o</ci>
                      <ci>n_NaCa</ci>
                    </apply>
                  </apply>
                  <apply>
                    <times />
                    <ci>Ca_o</ci>
                    <apply>
                      <power />
                      <ci>Na_i</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>Ca_i</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="intracellular_sodium_concentration">
    <variable cmeta:id="intracellular_sodium_concentration.Na_i" name="Na_i" public_interface="out" units="millimolar" />
    <variable cmeta:id="intracellular_sodium_concentration.V_i" name="V_i" public_interface="in" units="micrometre3" />
    <variable cmeta:id="intracellular_sodium_concentration.i_Na" name="i_Na" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_sodium_concentration.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="intracellular_sodium_concentration.i_NaCa" name="i_NaCa" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_sodium_concentration.F" name="F" public_interface="in" units="coulomb_per_mole" />
    <variable cmeta:id="intracellular_sodium_concentration.i_NaK" name="i_NaK" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_sodium_concentration.i_siNa" name="i_siNa" public_interface="in" units="nanoA" />
    <variable cmeta:id="intracellular_sodium_concentration.i_b_Na" name="i_b_Na" public_interface="in" units="nanoA" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Na_i</ci>
        </apply>
        <apply>
          <times />
          <apply>
            <divide />
            <apply>
              <minus />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
            </apply>
            <apply>
              <times />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
              <ci>V_i</ci>
              <ci>F</ci>
            </apply>
          </apply>
          <apply>
            <plus />
            <ci>i_Na</ci>
            <ci>i_b_Na</ci>
            <apply>
              <times />
              <ci>i_NaK</ci>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
            </apply>
            <apply>
              <times />
              <ci>i_NaCa</ci>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
            </apply>
            <ci>i_siNa</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="calcium_release">
    <variable cmeta:id="calcium_release.K_m_rel" name="K_m_rel" units="per_second" />
    <variable cmeta:id="calcium_release.ActFrac" name="ActFrac" units="dimensionless" />
    <variable cmeta:id="calcium_release.Ca_i" name="Ca_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="calcium_release.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="calcium_release.K_leak_rate" name="K_leak_rate" units="per_second" />
    <variable cmeta:id="calcium_release.ProdFrac" name="ProdFrac" units="dimensionless" />
    <variable cmeta:id="calcium_release_i_rel" name="i_rel" public_interface="out" units="millimolar_per_second" />
    <variable cmeta:id="calcium_release.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="calcium_release.VoltDep" name="VoltDep" units="dimensionless" />
    <variable cmeta:id="calcium_release.RegBindSite" name="RegBindSite" units="dimensionless" />
    <variable cmeta:id="calcium_release.InactRate" name="InactRate" units="per_second" />
    <variable cmeta:id="calcium_release.PrecFrac" name="PrecFrac" units="dimensionless" />
    <variable cmeta:id="calcium_release.Ca_rel" name="Ca_rel" public_interface="in" units="millimolar" />
    <variable cmeta:id="calcium_release.ActRate" name="ActRate" units="per_second" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <ci>PrecFrac</ci>
        <apply>
          <minus />
          <apply>
            <minus />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
            <ci>ActFrac</ci>
          </apply>
          <ci>ProdFrac</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>VoltDep</ci>
        <apply>
          <exp />
          <apply>
            <times />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.08</cn>
            <apply>
              <minus />
              <ci>V</ci>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>RegBindSite</ci>
        <apply>
          <power />
          <apply>
            <divide />
            <ci>Ca_i</ci>
            <apply>
              <plus />
              <ci>Ca_i</ci>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.0005</cn>
            </apply>
          </apply>
          <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>ActRate</ci>
        <apply>
          <plus />
          <apply>
            <times />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">600</cn>
            <ci>VoltDep</ci>
          </apply>
          <apply>
            <times />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">500</cn>
            <ci>RegBindSite</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>InactRate</ci>
        <apply>
          <plus />
          <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">60</cn>
          <apply>
            <times />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">500</cn>
            <ci>RegBindSite</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>ActFrac</ci>
        </apply>
        <apply>
          <minus />
          <apply>
            <times />
            <ci>PrecFrac</ci>
            <ci>ActRate</ci>
          </apply>
          <apply>
            <times />
            <ci>ActFrac</ci>
            <ci>InactRate</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>ProdFrac</ci>
        </apply>
        <apply>
          <minus />
          <apply>
            <times />
            <ci>ActFrac</ci>
            <ci>InactRate</ci>
          </apply>
          <apply>
            <times />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">0.6</cn>
            <ci>ProdFrac</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_rel</ci>
        <apply>
          <times />
          <apply>
            <plus />
            <apply>
              <times />
              <apply>
                <power />
                <apply>
                  <divide />
                  <ci>ActFrac</ci>
                  <apply>
                    <plus />
                    <ci>ActFrac</ci>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.25</cn>
                  </apply>
                </apply>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
              </apply>
              <ci>K_m_rel</ci>
            </apply>
            <ci>K_leak_rate</ci>
          </apply>
          <ci>Ca_rel</ci>
        </apply>
      </apply>
    </math>
  </component>
  <component name="calcium_translocation">
    <variable cmeta:id="calcium_translocation.Ca_up" name="Ca_up" public_interface="in" units="millimolar" />
    <variable cmeta:id="calcium_translocation_i_trans" name="i_trans" public_interface="out" units="millimolar_per_second" />
    <variable cmeta:id="calcium_translocation.Ca_rel" name="Ca_rel" public_interface="in" units="millimolar" />
    <variable cmeta:id="calcium_translocation.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="calcium_translocation.alpha_tr" name="alpha_tr" units="per_second" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <ci>i_trans</ci>
        <apply>
          <times />
          <apply>
            <minus />
            <ci>Ca_up</ci>
            <ci>Ca_rel</ci>
          </apply>
          <ci>alpha_tr</ci>
        </apply>
      </apply>
    </math>
  </component>
  <component name="extracellular_sodium_concentration">
    <variable cmeta:id="extracellular_sodium_concentration.Na_o" name="Na_o" public_interface="out" units="millimolar" />
  </component>
  <component name="second_inward_calcium_current">
    <variable cmeta:id="second_inward_calcium_current.i_siNa" name="i_siNa" public_interface="out" units="nanoA" />
    <variable cmeta:id="second_inward_calcium_current.P_si" name="P_si" units="nanoA_per_millimolar" />
    <variable cmeta:id="second_inward_calcium_current.i_si" name="i_si" public_interface="out" units="nanoA" />
    <variable cmeta:id="second_inward_calcium_current.i_siK" name="i_siK" public_interface="out" units="nanoA" />
    <variable cmeta:id="second_inward_calcium_current.V" name="V" public_interface="in" private_interface="out" units="millivolt" />
    <variable cmeta:id="second_inward_calcium_current.CaChon" name="CaChon" private_interface="in" units="dimensionless" />
    <variable cmeta:id="second_inward_calcium_current.Ca_o" name="Ca_o" public_interface="in" units="millimolar" />
    <variable cmeta:id="second_inward_calcium_current.K_c" name="K_c" public_interface="in" units="millimolar" />
    <variable cmeta:id="second_inward_calcium_current.RTONF" name="RTONF" public_interface="in" units="millivolt" />
    <variable cmeta:id="second_inward_calcium_current.Ca_i" name="Ca_i" public_interface="in" private_interface="out" units="millimolar" />
    <variable cmeta:id="second_inward_calcium_current.Na_i" name="Na_i" public_interface="in" units="millimolar" />
    <variable cmeta:id="second_inward_calcium_current.Na_o" name="Na_o" public_interface="in" units="millimolar" />
    <variable cmeta:id="second_inward_calcium_current.d" name="d" private_interface="in" units="dimensionless" />
    <variable cmeta:id="second_inward_calcium_current.f_Ca" name="f_Ca" private_interface="in" units="dimensionless" />
    <variable cmeta:id="second_inward_calcium_current.i_siCa" name="i_siCa" public_interface="out" units="nanoA" />
    <variable cmeta:id="second_inward_calcium_current.time" name="time" public_interface="in" private_interface="out" units="second" />
    <variable cmeta:id="second_inward_calcium_current.K_i" name="K_i" public_interface="in" units="millimolar" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <ci>i_si</ci>
        <apply>
          <plus />
          <ci>i_siCa</ci>
          <ci>i_siK</ci>
          <ci>i_siNa</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_siCa</ci>
        <apply>
          <times />
          <apply>
            <divide />
            <apply>
              <divide />
              <apply>
                <times />
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                <ci>P_si</ci>
                <ci>d</ci>
                <ci>CaChon</ci>
                <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>
              <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>
            <minus />
            <apply>
              <times />
              <ci>Ca_i</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>Ca_o</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>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_siK</ci>
        <apply>
          <times />
          <apply>
            <divide />
            <apply>
              <divide />
              <apply>
                <times />
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.002</cn>
                <ci>P_si</ci>
                <ci>d</ci>
                <ci>CaChon</ci>
                <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>
              <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>
            <minus />
            <apply>
              <times />
              <ci>K_i</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>K_c</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>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>i_siNa</ci>
        <apply>
          <times />
          <apply>
            <divide />
            <apply>
              <divide />
              <apply>
                <times />
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01</cn>
                <ci>P_si</ci>
                <ci>d</ci>
                <ci>CaChon</ci>
                <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>
              <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>
            <minus />
            <apply>
              <times />
              <ci>Na_i</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>Na_o</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>
        </apply>
      </apply>
    </math>
  </component>
  <group>
    <relationship_ref relationship="encapsulation" />
    <component_ref component="fast_sodium_current">
      <component_ref component="fast_sodium_current_m_gate" />
      <component_ref component="fast_sodium_current_h_gate" />
    </component_ref>
    <component_ref component="second_inward_calcium_current">
      <component_ref component="second_inward_calcium_current_f_Ca_gate" />
      <component_ref component="second_inward_calcium_current_d_gate" />
    </component_ref>
  </group>
  <group>
    <relationship_ref relationship="containment" />
    <component_ref component="membrane">
      <component_ref component="intracellular_potassium_concentration" />
      <component_ref component="sarcoplasmic_reticulum_calcium_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_calcium_current">
        <component_ref component="second_inward_calcium_current_f_Ca_gate" />
        <component_ref component="second_inward_calcium_current_d_gate" />
      </component_ref>
      <component_ref component="intracellular_sodium_concentration" />
      <component_ref component="sodium_potassium_pump" />
      <component_ref component="intracellular_calcium_concentration" />
      <component_ref component="calcium_release" />
      <component_ref component="calcium_translocation" />
      <component_ref component="extracellular_calcium_concentration" />
      <component_ref component="calcium_background_current" />
      <component_ref component="extracellular_sodium_concentration" />
      <component_ref component="sodium_background_current" />
      <component_ref component="potassium_background_current" />
      <component_ref component="extracellular_potassium_concentration" />
      <component_ref component="time_independent_potassium_current" />
    </component_ref>
  </group>
  <connection>
    <map_components component_1="intracellular_sodium_concentration" component_2="sodium_potassium_pump" />
    <map_variables variable_1="Na_i" variable_2="Na_i" />
  </connection>
  <connection>
    <map_components component_1="extracellular_sodium_concentration" component_2="Na_Ca_exchanger" />
    <map_variables variable_1="Na_o" variable_2="Na_o" />
  </connection>
  <connection>
    <map_components component_1="intracellular_potassium_concentration" component_2="time_independent_potassium_current" />
    <map_variables variable_1="K_i" variable_2="K_i" />
  </connection>
  <connection>
    <map_components component_1="fast_sodium_current_m_gate" component_2="fast_sodium_current" />
    <map_variables variable_1="m" variable_2="m" />
  </connection>
  <connection>
    <map_components component_1="calcium_background_current" component_2="extracellular_calcium_concentration" />
    <map_variables variable_1="i_b_Ca" variable_2="i_b_Ca" />
  </connection>
  <connection>
    <map_components component_1="calcium_background_current" component_2="intracellular_calcium_concentration" />
    <map_variables variable_1="i_b_Ca" variable_2="i_b_Ca" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="calcium_background_current" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="extracellular_potassium_concentration" component_2="time_independent_potassium_current" />
    <map_variables variable_1="K_c" variable_2="K_c" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="calcium_release" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="membrane" component_2="sodium_potassium_pump" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="sodium_potassium_pump" component_2="intracellular_sodium_concentration" />
    <map_variables variable_1="i_NaK" variable_2="i_NaK" />
  </connection>
  <connection>
    <map_components component_1="intracellular_potassium_concentration" component_2="second_inward_calcium_current" />
    <map_variables variable_1="K_i" variable_2="K_i" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="time_independent_potassium_current" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="membrane" component_2="fast_sodium_current" />
    <map_variables variable_1="RTONF" variable_2="RTONF" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="second_inward_calcium_current" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="intracellular_calcium_concentration" component_2="second_inward_calcium_current" />
    <map_variables variable_1="Ca_i" variable_2="Ca_i" />
  </connection>
  <connection>
    <map_components component_1="extracellular_calcium_concentration" component_2="calcium_background_current" />
    <map_variables variable_1="Ca_o" variable_2="Ca_o" />
  </connection>
  <connection>
    <map_components component_1="membrane" component_2="Na_Ca_exchanger" />
    <map_variables variable_1="RTONF" variable_2="RTONF" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="extracellular_potassium_concentration" component_2="second_inward_calcium_current" />
    <map_variables variable_1="K_c" variable_2="K_c" />
  </connection>
  <connection>
    <map_components component_1="fast_sodium_current" component_2="fast_sodium_current_m_gate" />
    <map_variables variable_1="time" variable_2="time" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="membrane" component_2="potassium_background_current" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="second_inward_calcium_current" component_2="extracellular_calcium_concentration" />
    <map_variables variable_1="i_siCa" variable_2="i_siCa" />
  </connection>
  <connection>
    <map_components component_1="intracellular_sodium_concentration" component_2="fast_sodium_current" />
    <map_variables variable_1="Na_i" variable_2="Na_i" />
  </connection>
  <connection>
    <map_components component_1="intracellular_potassium_concentration" component_2="fast_sodium_current" />
    <map_variables variable_1="K_i" variable_2="K_i" />
  </connection>
  <connection>
    <map_components component_1="intracellular_calcium_concentration" component_2="intracellular_sodium_concentration" />
    <map_variables variable_1="V_i" variable_2="V_i" />
  </connection>
  <connection>
    <map_components component_1="extracellular_potassium_concentration" component_2="fast_sodium_current" />
    <map_variables variable_1="K_c" variable_2="K_c" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="potassium_background_current" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="sodium_background_current" component_2="membrane" />
    <map_variables variable_1="i_b_Na" variable_2="i_b_Na" />
  </connection>
  <connection>
    <map_components component_1="extracellular_sodium_concentration" component_2="fast_sodium_current" />
    <map_variables variable_1="Na_o" variable_2="Na_o" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="intracellular_sodium_concentration" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="sarcoplasmic_reticulum_calcium_pump" component_2="intracellular_calcium_concentration" />
    <map_variables variable_1="i_up" variable_2="i_up" />
  </connection>
  <connection>
    <map_components component_1="second_inward_calcium_current" component_2="intracellular_sodium_concentration" />
    <map_variables variable_1="i_siNa" variable_2="i_siNa" />
  </connection>
  <connection>
    <map_components component_1="intracellular_sodium_concentration" component_2="second_inward_calcium_current" />
    <map_variables variable_1="Na_i" variable_2="Na_i" />
  </connection>
  <connection>
    <map_components component_1="second_inward_calcium_current" component_2="membrane" />
    <map_variables variable_1="i_si" variable_2="i_si" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="extracellular_calcium_concentration" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="sodium_background_current" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="intracellular_sodium_concentration" component_2="Na_Ca_exchanger" />
    <map_variables variable_1="Na_i" variable_2="Na_i" />
  </connection>
  <connection>
    <map_components component_1="intracellular_calcium_concentration" component_2="calcium_background_current" />
    <map_variables variable_1="Ca_i" variable_2="Ca_i" />
  </connection>
  <connection>
    <map_components component_1="extracellular_calcium_concentration" component_2="Na_Ca_exchanger" />
    <map_variables variable_1="Ca_o" variable_2="Ca_o" />
  </connection>
  <connection>
    <map_components component_1="membrane" component_2="sodium_background_current" />
    <map_variables variable_1="RTONF" variable_2="RTONF" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="sodium_potassium_pump" component_2="membrane" />
    <map_variables variable_1="i_NaK" variable_2="i_NaK" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="calcium_translocation" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="time_independent_potassium_current" component_2="membrane" />
    <map_variables variable_1="i_K1" variable_2="i_K1" />
  </connection>
  <connection>
    <map_components component_1="potassium_background_current" component_2="membrane" />
    <map_variables variable_1="i_b_K" variable_2="i_b_K" />
  </connection>
  <connection>
    <map_components component_1="intracellular_calcium_concentration" component_2="calcium_release" />
    <map_variables variable_1="Ca_i" variable_2="Ca_i" />
    <map_variables variable_1="Ca_rel" variable_2="Ca_rel" />
  </connection>
  <connection>
    <map_components component_1="intracellular_sodium_concentration" component_2="sodium_background_current" />
    <map_variables variable_1="Na_i" variable_2="Na_i" />
  </connection>
  <connection>
    <map_components component_1="membrane" component_2="calcium_background_current" />
    <map_variables variable_1="RTONF" variable_2="RTONF" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="membrane" component_2="second_inward_calcium_current" />
    <map_variables variable_1="RTONF" variable_2="RTONF" />
    <map_variables variable_1="V" variable_2="V" />
  </connection>
  <connection>
    <map_components component_1="fast_sodium_current_h_gate" component_2="fast_sodium_current" />
    <map_variables variable_1="h" variable_2="h" />
  </connection>
  <connection>
    <map_components component_1="intracellular_calcium_concentration" component_2="Na_Ca_exchanger" />
    <map_variables variable_1="Ca_i" variable_2="Ca_i" />
  </connection>
  <connection>
    <map_components component_1="second_inward_calcium_current_f_Ca_gate" component_2="second_inward_calcium_current" />
    <map_variables variable_1="CaChon" variable_2="CaChon" />
    <map_variables variable_1="f_Ca" variable_2="f_Ca" />
  </connection>
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      <dcterms:description>Ca concentrations in s.r. release store</dcterms:description>
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      <dcterms:description>NaK pump Na half activation concentration</dcterms:description>
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      <dcterms:description>Background K current</dcterms:description>
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    <rdf:Description rdf:about="#extracellular_calcium_concentration.Ve">
      <dcterms:description>Total extracellular volume</dcterms:description>
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      <dcterms:description>Time solution domain</dcterms:description>
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      <dcterms:description>Activator molecule fraction</dcterms:description>
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                  <semsim:name>Muscle Bath</semsim:name>
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      <dcterms:description>Ca concentration in the muscle bath</dcterms:description>
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    <rdf:Description rdf:about="#fast_sodium_current_m_gate.V">
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      <dcterms:description>Cardiac myocyte membrane potential</dcterms:description>
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      <dcterms:description>Cardiac myocyte membrane potential</dcterms:description>
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    <rdf:Description rdf:about="#calcium_release.V">
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      <dcterms:description>Cardiac myocyte membrane potential</dcterms:description>
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      <dcterms:description>Potassium background conductance</dcterms:description>
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    <rdf:Description rdf:about="#sodium_potassium_pump.Na_i">
      <semsim:isComputationalComponentFor>
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      <dcterms:description>Intracellular Na concentration</dcterms:description>
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    <rdf:Description rdf:about="#sarcoplasmic_reticulum_calcium_pump.K_cyca">
      <dcterms:description>Cytosolic Ca/enzyme reaction rate</dcterms:description>
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    <rdf:Description rdf:about="#intracellular_potassium_concentration.K_i">
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      </semsim:isComputationalComponentFor>
      <dcterms:description>Potassium intracellular concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#second_inward_calcium_current.d">
      <dcterms:description>Activation gating and rate coefficient for fast Ca current channel</dcterms:description>
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    <rdf:Description rdf:about="#intracellular_sodium_concentration.Na_i">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_71">
          <semsim:physicalPropertyOf rdf:resource="#entity_7" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>Intracellular Na concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_sodium_concentration.i_b_Na">
      <semsim:isComputationalComponentFor>
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              <semsim:hasSinkParticipant>
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              <semsim:hasSourceParticipant>
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              <semsim:name>Na background current across plasma membrane of cardiac myocyte</semsim:name>
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      <dcterms:description>Sodium background current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="http://www.cellml.org/cellml/1.0">
      <dc:publisher>Department of Physiology, Anatomy &amp; Genetics, University of Oxford</dc:publisher>
      <cmeta:comment>
        <rdf:Description rdf:about="rdf:#db0c3b92-9d2c-496f-94a3-598d24393808">
          <dc:creator>
            <rdf:Description rdf:about="rdf:#e890b153-d092-4b49-82f2-f9911da9f012">
              <vCard:FN>James Lawson</vCard:FN>
            </rdf:Description>
          </dc:creator>
          <rdf:value>This version was created by Penny Noble of Oxford University and is known to run in both COR and PCEnv. The integration problems experienced with Version 03 are fixed in this version. A predefined operator diff error produced by PCEnv in the component intracellular_calcium_concentration of Penny Noble's version was fixed by James Lawson on 19/04/07. Due to the small stimulus duration, for this model to produce a train of action potentials, the max step size must be set at 0.001 or below and the number of points per graph must be over 10k.</rdf:value>
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            <rdf:Description rdf:about="rdf:#3af4e6f4-646d-4682-9e52-9556553ead7e">
              <vCard:Orgname>Oxford University</vCard:Orgname>
              <vCard:Orgunit>Department of Physiology, Anatomy &amp; Genetics</vCard:Orgunit>
            </rdf:Description>
          </vCard:ORG>
          <vCard:EMAIL rdf:resource="rdf:#40a75966-f864-4887-9e5c-aeb89bff221a" rdf:value="penny.noble@dpag.ox.ac.uk" rdf:type="http://imc.org/vCard/3.0#internet" />
          <vCard:N rdf:resource="rdf:#abf72336-d61e-48a4-98b5-a93673fcbbfd" vCard:Given="Penny" vCard:Family="Noble" vCard:Other="J" />
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        <rdf:Description rdf:about="rdf:#20f85be5-33d5-4183-8900-c02eccab3b39">
          <dcterms:modified rdf:resource="rdf:#4ae6dde3-74ce-4ca7-b5f7-dc7e62c7db98" dcterms:W3CDTF="2008-01-10T13:06:42+13:00" />
          <rdf:value>added cmeta:id's to some variables to facilitate creation of PCEnv session file</rdf:value>
          <cmeta:modifier>
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              <vCard:N rdf:resource="rdf:#ad840cb5-5971-40f0-9319-0e4030e77505" vCard:Given="James" vCard:Family="Lawson" vCard:Other="Richard" />
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        </rdf:Description>
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      <cmeta:modification>
        <rdf:Description rdf:about="rdf:#0a11824d-79bb-4c95-bf67-f2a0c00a1ab1">
          <dcterms:modified rdf:resource="rdf:#eee2dffe-700f-4485-9feb-f7ba7a90abc2" dcterms:W3CDTF="2007-06-20T15:15:35+12:00" />
          <rdf:value>Added stimulus protocol to allow simulation of trains of action potentials.</rdf:value>
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              <vCard:N rdf:resource="rdf:#9e7662b0-bfb4-4bb5-9d56-3c5f91e06e18" vCard:Given="James" vCard:Family="Lawson" vCard:Other="Richard" />
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      <cmeta:modification>
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          <rdf:value>Made 2 new variables - dCaCalmoddt and dCaTropdt in component "intracellular_calcium_concentration," equated these variables to d(CaCalmod)/d(time) and d(CaTrop)/d(time), respectively. This was done to allow PCEnv 0.2 to run the model.</rdf:value>
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      <dcterms:description>Sodium background current</dcterms:description>
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      <dcterms:description>Position of energy barrier controlling voltage-dependence of i_NaCa</dcterms:description>
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    <rdf:Description rdf:about="#intracellular_calcium_concentration.dCaCalmoddt">
      <dcterms:description>Redundant and unused codeword</dcterms:description>
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    <rdf:Description rdf:about="#membrane.R">
      <dcterms:description>Boltzmann constant</dcterms:description>
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    <rdf:Description rdf:about="#intracellular_calcium_concentration.dCaTropdt">
      <dcterms:description>Redundant and unused codeword</dcterms:description>
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    <rdf:Description rdf:about="#fast_sodium_current_h_gate.beta_h">
      <dcterms:description>Inactivation gate and rate coefficient</dcterms:description>
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    <rdf:Description rdf:about="#intracellular_calcium_concentration.time">
      <dcterms:description>Time solution domain</dcterms:description>
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    <rdf:Description rdf:about="#Hilgemann_1987" semsim:modelId="hilgemann_noble_1987" semsim:AnnotatorContactInfo="thompsct@umich.edu" semsim:modelName="hilgemann_noble_1987">
      <semsim:AnnotatorName>Chris Thompson</semsim:AnnotatorName>
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    <rdf:Description rdf:about="#Na_Ca_exchanger.n_NaCa">
      <dcterms:description>Stoichiometry of Na-Ca exchange</dcterms:description>
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    <rdf:Description rdf:about="#intracellular_potassium_concentration.V_i">
      <dcterms:description>Total intracellular volume</dcterms:description>
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    <rdf:Description rdf:about="#Na_Ca_exchanger_i_NaCa">
      <semsim:isComputationalComponentFor>
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      <dcterms:description>Na-Ca exchange current</dcterms:description>
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    <rdf:Description rdf:about="#second_inward_calcium_current_d_gate.d">
      <dcterms:description>Activation gating and rate coefficient for fast Ca current channel</dcterms:description>
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    <rdf:Description rdf:about="#second_inward_calcium_current_f_Ca_gate.time">
      <dcterms:description>Time - Solution Domain</dcterms:description>
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    <rdf:Description rdf:about="#time_independent_potassium_current.g_K1">
      <dcterms:description>Inward K rectifier conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.radius">
      <dcterms:description>radius of preparation</dcterms:description>
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    <rdf:Description rdf:about="#time_independent_potassium_current.time">
      <dcterms:description>Time solution domain</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#second_inward_calcium_current_f_Ca_gate.f_Ca">
      <dcterms:description>Fraction of channels inactivated by voltage-dependent process.</dcterms:description>
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    <rdf:Description rdf:about="#second_inward_calcium_current.Ca_o">
      <semsim:isComputationalComponentFor>
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          <semsim:physicalPropertyOf rdf:resource="#entity_4" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
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      </semsim:isComputationalComponentFor>
      <dcterms:description>Extracellular calcium concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Na_Ca_exchanger.Na_i">
      <semsim:isComputationalComponentFor>
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          <semsim:physicalPropertyOf rdf:resource="#entity_7" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
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      </semsim:isComputationalComponentFor>
      <dcterms:description>Intracellular Na concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#potassium_background_current.time">
      <dcterms:description>Time - Solution Domain</dcterms:description>
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    <rdf:Description rdf:about="#membrane.i_NaCa">
      <semsim:isComputationalComponentFor>
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      <dcterms:description>Na-Ca exchange current</dcterms:description>
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    <rdf:Description rdf:about="#intracellular_sodium_concentration.V_i">
      <dcterms:description>Total intracellular volume</dcterms:description>
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    <rdf:Description rdf:about="#calcium_background_current.g_b_Ca">
      <dcterms:description>Calcium background conductance</dcterms:description>
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      <dcterms:description>Inactivation gating and rate coefficient for fast Ca current channel</dcterms:description>
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              <semsim:hasSinkParticipant>
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              <semsim:hasSourceParticipant>
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              <semsim:hasSourceParticipant>
                <rdf:Description rdf:about="#source_13" semsim:hasMultiplier="1.0">
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              <semsim:hasSourceParticipant>
                <rdf:Description rdf:about="#source_12" semsim:hasMultiplier="1.0">
                  <semsim:hasPhysicalEntityReference rdf:resource="#entity_4" />
                </rdf:Description>
              </semsim:hasSourceParticipant>
              <semsim:name>Secondary channel inward current</semsim:name>
            </rdf:Description>
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          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>Total TTX-insensitive inward current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.F">
      <dcterms:description>Faraday Constant</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#sarcoplasmic_reticulum_calcium_pump.Ca_i">
      <semsim:isComputationalComponentFor>
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      </semsim:isComputationalComponentFor>
      <dcterms:description>Intracellular Ca concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#second_inward_calcium_current.i_siK">
      <semsim:isComputationalComponentFor>
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              <semsim:name>Secondary K channel inward current</semsim:name>
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      <dcterms:description>Potassium component of fast Ca current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#sarcoplasmic_reticulum_calcium_pump.time">
      <dcterms:description>Time - Solution Domain</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_sodium_current.V">
      <semsim:isComputationalComponentFor>
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      <dcterms:description>Experimental stimulation current</dcterms:description>
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      <dcterms:description>Background K current</dcterms:description>
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      <dcterms:description>Ca uptake into SR expressed as a current</dcterms:description>
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      <dcterms:description>Intracellular Ca concentration</dcterms:description>
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      <dcterms:description>Ratio of intracellular volume and total cell volume</dcterms:description>
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      <dcterms:description>scaling factor for i_NaCa</dcterms:description>
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      <dcterms:description>Faraday Constant</dcterms:description>
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          <semsim:physicalPropertyOf>
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              <semsim:name>Ca background current across plasma membrane of cardiac myocyte</semsim:name>
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      <dcterms:description>Calcium background current</dcterms:description>
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      <dcterms:description>Activator precursor molecule fraction</dcterms:description>
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      <dcterms:description>Calcium background current</dcterms:description>
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      <dcterms:description>Fraction of channels inactivated by voltage-dependent process.</dcterms:description>
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      <dcterms:description>K half-activation concentration for inward K rectifier</dcterms:description>
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      <dcterms:description>Activation gate and rate coefficient</dcterms:description>
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      <dcterms:description>Cell volume</dcterms:description>
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      <dcterms:description>Denominator constant for i_NaCa</dcterms:description>
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      <dcterms:description>Na-Ca exchange current</dcterms:description>
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      <dcterms:description>Ca release from junctional sarcoplasmic reticulum into cytosol</dcterms:description>
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      <dcterms:description>Voltage dependence of release</dcterms:description>
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      <dcterms:description>Extracellular sodium concentration</dcterms:description>
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      <dcterms:description>Gating variable for h gate</dcterms:description>
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      <dcterms:description>Ratio of JSR volume and total cell volume</dcterms:description>
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      <dcterms:description>SR Ca/enzyme reaction rate</dcterms:description>
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      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_2">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00506" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>Cardiac myocyte membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_sodium_concentration.i_NaK">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_74">
          <semsim:physicalPropertyOf rdf:resource="#process_1" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>NaK exchange pump current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#second_inward_calcium_current_d_gate.V">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_15">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00506" />
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      </semsim:isComputationalComponentFor>
      <dcterms:description>Cardiac myocyte membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.V_i">
      <dcterms:description>Total intracellular volume</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.beta_Trop">
      <dcterms:description>Ca-troponin dissociation rate constant</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.F">
      <dcterms:description>Faraday Constant</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.Calmod">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_59">
          <semsim:physicalPropertyOf>
            <rdf:Description rdf:about="#entity_22">
              <ro:part_of rdf:resource="#entity_3" />
              <semsim:hasPhysicalDefinition rdf:resource="http://purl.obolibrary.org/obo/FMA_62343" />
            </rdf:Description>
          </semsim:physicalPropertyOf>
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>Total calmodulin concentration in the cytosol</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Na_Ca_exchanger.Na_o">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_65">
          <semsim:physicalPropertyOf rdf:resource="#entity_6" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
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      </semsim:isComputationalComponentFor>
      <dcterms:description>Extracellular sodium concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.Ve">
      <dcterms:description>Total extracellular volume</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.C_m">
      <dcterms:description>Membrane capacitance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#sarcoplasmic_reticulum_calcium_pump.beta_up">
      <dcterms:description>SR Ca uptake back ard reaction rate constant</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.alpha_Calmod">
      <dcterms:description>Ca-calmodulin binding rate constant</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_sodium_concentration.F">
      <dcterms:description>Faraday Constant</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#second_inward_calcium_current.K_c">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_90">
          <semsim:physicalPropertyOf rdf:resource="#entity_11" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
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      </semsim:isComputationalComponentFor>
      <dcterms:description>Potassium concentration in the extracellular cleft</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#sodium_background_current.Na_i">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_17">
          <semsim:physicalPropertyOf rdf:resource="#entity_7" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>Intracellular Na concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_translocation.time">
      <dcterms:description>Time - Solution Domain</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Na_Ca_exchanger.Ca_i">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_69">
          <semsim:physicalPropertyOf rdf:resource="#entity_2" />
          <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>Intracellular Ca concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#second_inward_calcium_current.CaChon">
      <dcterms:description>Active, unbound regulatory states</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#intracellular_calcium_concentration.length">
      <dcterms:description>length of preparation</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_sodium_current_m_gate.alpha_m">
      <dcterms:description>Activation gate and rate coefficient</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Hilgemann_1987" semsim:modelName="Hilgemann_1987" semsim:unknown="Hilgemann_1987">
      <ro:modelOf rdf:resource="http://purl.obolibrary.org/obo/CL_0002642" />
    </rdf:Description>
  </rdf:RDF>
</model>