Location: Noble_Noble_1984 @ a472894356dd / noble_noble_1984_central_model.cellml

Author:
AnthonyM <amarchand@enseirb.fr>
Date:
2015-07-16 15:34:09+12:00
Desc:
delete coucou.txt
Permanent Source URI:
https://models.physiomeproject.org/workspace/245/rawfile/a472894356dd16a76e622573436235d6897d15b0/noble_noble_1984_central_model.cellml

<?xml version='1.0'?>
<model cmeta:id="noble_noble_1984" name="noble_noble_1984" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    <units name="per_second">
        <unit exponent="-1" units="second"/>
    </units>
    <units name="millivolt">
        <unit prefix="milli" units="volt"/>
    </units>
    <units name="per_millivolt">
        <unit exponent="-1" prefix="milli" units="volt"/>
    </units>
    <units name="per_millivolt_second">
        <unit exponent="-1" units="millivolt"/>
        <unit exponent="-1" units="second"/>
    </units>
    <units name="millivolt_second">
        <unit units="millivolt"/>
        <unit units="second"/>
    </units>
    <units name="microS">
        <unit prefix="micro" units="siemens"/>
    </units>
    <units name="microF">
        <unit prefix="micro" units="farad"/>
    </units>
    <units name="nanoA">
        <unit prefix="nano" units="ampere"/>
    </units>
    <units name="mA_nA">
        <unit prefix="milli" units="ampere"/>
        <unit exponent="-1" units="nanoA"/>
    </units>
    <units name="millimolar">
        <unit prefix="milli" units="mole"/>
        <unit exponent="-1" units="litre"/>
    </units>
    <units name="millimolar4">
        <unit exponent="4" units="millimolar"/>
    </units>
    <units name="nanoA_per_millimolar">
        <unit units="nanoA"/>
        <unit exponent="-1" units="millimolar"/>
    </units>
    <units name="joule_per_kilomole_kelvin">
        <unit units="joule"/>
        <unit exponent="-1" prefix="kilo" units="mole"/>
        <unit exponent="-1" units="kelvin"/>
    </units>
    <units name="coulomb_per_mole">
        <unit units="coulomb"/>
        <unit exponent="-1" units="mole"/>
    </units>
    <units name="micrometre">
        <unit prefix="micro" units="metre"/>
    </units>
    <units name="micrometre3">
        <unit exponent="3" prefix="micro" units="metre"/>
    </units>
    <units name="litre_micrometre3">
        <unit units="litre"/>
        <unit exponent="-1" units="micrometre3"/>
    </units>
    <units name="millivolt_per_second">
        <unit units="millivolt"/>
        <unit exponent="-1" units="second"/>
    </units>
    <component name="environment">
        <variable cmeta:id="environment_time" name="time" public_interface="out" units="second"/>
    </component>
    <component name="membrane">
        <variable cmeta:id="membrane_V" initial_value="-60" name="V" public_interface="out" units="millivolt"/>
        <variable initial_value="8314.472" name="R" public_interface="out" units="joule_per_kilomole_kelvin"/>
        <variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
        <variable initial_value="96485.3415" name="F" public_interface="out" units="coulomb_per_mole"/>
        <variable initial_value="0.006" name="C" units="microF"/>
        <variable name="RTONF" public_interface="out" units="millivolt"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="i_f" public_interface="in" units="nanoA"/>
        <variable name="i_K" public_interface="in" units="nanoA"/>
        <variable name="i_K1" public_interface="in" units="nanoA"/>
        <variable name="i_Na_b" public_interface="in" units="nanoA"/>
        <variable name="i_Ca_b" public_interface="in" units="nanoA"/>
        <variable name="i_p" public_interface="in" units="nanoA"/>
        <variable name="i_NaCa" public_interface="in" units="nanoA"/>
        <variable name="i_Na" public_interface="in" units="nanoA"/>
        <variable name="i_si" public_interface="in" units="nanoA"/>
        <variable name="Vprim" public_interface="out" units="millivolt_per_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>Vprim</ci>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <ci>i_f</ci>
                            <ci>i_K</ci>
                            <ci>i_K1</ci>
                            <ci>i_Na_b</ci>
                            <ci>i_Ca_b</ci>
                            <ci>i_p</ci>
                            <ci>i_NaCa</ci>
                            <ci>i_Na</ci>
                            <ci>i_si</ci>
                        </apply>
                    </apply>
                    <ci>C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>V</ci>
                </apply>
                <ci>Vprim</ci>
            </apply>
        </math>
    </component>
    <component name="hyperpolarising_activated_current">
        <variable cmeta:id="hyperpolarising_activated_current_i_f" name="i_f" public_interface="out" units="nanoA"/>
        <variable name="i_fNa" public_interface="out" units="nanoA"/>
        <variable name="E_Na" public_interface="out" units="millivolt"/>
        <variable name="E_K" public_interface="out" units="millivolt"/>
        <variable name="i_fK" public_interface="out" units="nanoA"/>
        <variable initial_value="6" name="g_f_Na" units="microS"/>
        <variable initial_value="6" name="g_f_K" units="microS"/>
        <variable initial_value="45" name="Km_f" units="millimolar"/>
        <variable name="time" private_interface="out" public_interface="in" units="second"/>
        <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
        <variable name="RTONF" public_interface="in" units="millivolt"/>
        <variable name="Kc" public_interface="in" units="millimolar"/>
        <variable name="Ki" public_interface="in" units="millimolar"/>
        <variable name="Nai" public_interface="in" units="millimolar"/>
        <variable name="Nao" public_interface="in" units="millimolar"/>
        <variable name="y" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E_Na</ci>
                <apply>
                    <times/>
                    <ci>RTONF</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>Nao</ci>
                            <ci>Nai</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_K</ci>
                <apply>
                    <times/>
                    <ci>RTONF</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>Kc</ci>
                            <ci>Ki</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_fNa</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>y</ci>
                            <ci>Kc</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>Kc</ci>
                            <ci>Km_f</ci>
                        </apply>
                    </apply>
                    <ci>g_f_Na</ci>
                    <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Na</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_fK</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>y</ci>
                            <ci>Kc</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>Kc</ci>
                            <ci>Km_f</ci>
                        </apply>
                    </apply>
                    <ci>g_f_K</ci>
                    <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_K</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_f</ci>
                <apply>
                    <plus/>
                    <ci>i_fNa</ci>
                    <ci>i_fK</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="hyperpolarising_activated_current_y_gate">
        <variable initial_value="0.007" name="y" public_interface="out" units="dimensionless"/>
        <variable name="alpha_y" units="per_second"/>
        <variable name="beta_y" units="per_second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable initial_value="1e-5" name="delta_y" units="millivolt"/>
        <variable name="E0_y" units="millivolt"/>
        <variable initial_value="2" name="speed_y" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E0_y</ci>
                <apply>
                    <plus/>
                    <ci>V</ci>
                    <cn cellml:units="millivolt">52</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_y</ci>
                <apply>
                    <times/>
                    <cn cellml:units="per_second">0.05</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="per_millivolt">0.067</cn>
                            </apply>
                            <ci>E0_y</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_y</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="per_second">2.5</cn>
                        <apply>
                            <lt/>
                            <apply>
                                <abs/>
                                <ci>E0_y</ci>
                            </apply>
                            <ci>delta_y</ci>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <ci>E0_y</ci>
                            <apply>
                                <minus/>
                                <cn cellml:units="millivolt_second">1</cn>
                                <apply>
                                    <times/>
                                    <cn cellml:units="millivolt_second">1</cn>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <times/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="per_millivolt">0.2</cn>
                                            </apply>
                                            <ci>E0_y</ci>
                                        </apply>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>y</ci>
                </apply>
                <apply>
                    <times/>
                    <ci>speed_y</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>alpha_y</ci>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <ci>y</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>beta_y</ci>
                            <ci>y</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="time_dependent_potassium_current">
        <variable cmeta:id="time_dependent_potassium_current_i_K" name="i_K" public_interface="out" units="nanoA"/>
        <variable name="I_K" units="nanoA"/>
        <variable initial_value="20" name="i_K_max" units="nanoA"/>
        <variable name="time" private_interface="out" public_interface="in" units="second"/>
        <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
        <variable name="RTONF" public_interface="in" units="millivolt"/>
        <variable name="Ki" public_interface="in" units="millimolar"/>
        <variable name="Kc" public_interface="in" units="millimolar"/>
        <variable name="x" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>I_K</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>i_K_max</ci>
                        <apply>
                            <minus/>
                            <ci>Ki</ci>
                            <apply>
                                <times/>
                                <ci>Kc</ci>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <ci>V</ci>
                                        </apply>
                                        <ci>RTONF</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <cn cellml:units="millimolar">140</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_K</ci>
                <apply>
                    <times/>
                    <ci>x</ci>
                    <ci>I_K</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="time_dependent_potassium_current_x_gate">
        <variable initial_value="0.54" name="x" public_interface="out" units="dimensionless"/>
        <variable name="alpha_x" units="per_second"/>
        <variable name="beta_x" units="per_second"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable initial_value="0.0001" name="delta_x" units="millivolt"/>
        <variable name="E0_x" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E0_x</ci>
                <apply>
                    <plus/>
                    <ci>V</ci>
                    <cn cellml:units="millivolt">22</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_x</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="per_second">2.5</cn>
                        <apply>
                            <lt/>
                            <apply>
                                <abs/>
                                <ci>E0_x</ci>
                            </apply>
                            <ci>delta_x</ci>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_millivolt_second">0.5</cn>
                                <ci>E0_x</ci>
                            </apply>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <ci>E0_x</ci>
                                        </apply>
                                        <cn cellml:units="millivolt">5</cn>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>beta_x</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="per_second">2.5</cn>
                        <apply>
                            <lt/>
                            <apply>
                                <abs/>
                                <ci>E0_x</ci>
                            </apply>
                            <ci>delta_x</ci>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_millivolt_second">0.178</cn>
                                <ci>E0_x</ci>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>E0_x</ci>
                                        <cn cellml:units="millivolt">15</cn>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>x</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>alpha_x</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>x</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>beta_x</ci>
                        <ci>x</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="time_independent_potassium_current">
        <variable cmeta:id="time_independent_potassium_current_i_K1" name="i_K1" public_interface="out" units="nanoA"/>
        <variable initial_value="0.75" name="g_K1" units="microS"/>
        <variable initial_value="10" name="Km_K1" units="millimolar"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="E_K" public_interface="in" units="millivolt"/>
        <variable name="Kc" public_interface="in" units="millimolar"/>
        <variable name="RTONF" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>i_K1</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>g_K1</ci>
                                <ci>Kc</ci>
                            </apply>
                            <apply>
                                <plus/>
                                <ci>Kc</ci>
                                <ci>Km_K1</ci>
                            </apply>
                        </apply>
                        <apply>
                            <minus/>
                            <ci>V</ci>
                            <ci>E_K</ci>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <apply>
                                            <plus/>
                                            <ci>V</ci>
                                            <cn cellml:units="millivolt">10</cn>
                                        </apply>
                                        <ci>E_K</ci>
                                    </apply>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                                <ci>RTONF</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="sodium_background_current">
        <variable cmeta:id="sodium_background_current_i_Na_b" name="i_Na_b" public_interface="out" units="nanoA"/>
        <variable initial_value="0.07" name="g_Nab" units="microS"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="E_Na" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>i_Na_b</ci>
                <apply>
                    <times/>
                    <ci>g_Nab</ci>
                    <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Na</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="calcium_background_current">
        <variable cmeta:id="calcium_background_current_i_Ca_b" name="i_Ca_b" public_interface="out" units="nanoA"/>
        <variable name="E_Ca" public_interface="out" units="millivolt"/>
        <variable initial_value="0.01" name="g_Cab" units="microS"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="RTONF" public_interface="in" units="millivolt"/>
        <variable name="Cai" public_interface="in" units="millimolar"/>
        <variable name="Cao" public_interface="in" units="millimolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E_Ca</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0.5</cn>
                    <ci>RTONF</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>Cao</ci>
                            <ci>Cai</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_Ca_b</ci>
                <apply>
                    <times/>
                    <ci>g_Cab</ci>
                    <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_Ca</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="sodium_potassium_pump">
        <variable cmeta:id="sodium_potassium_pump_i_p" name="i_p" public_interface="out" units="nanoA"/>
        <variable initial_value="50" name="I_p" units="nanoA"/>
        <variable initial_value="1" name="K_mK" units="millimolar"/>
        <variable initial_value="40" name="K_mNa" units="millimolar"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="Nai" public_interface="in" units="millimolar"/>
        <variable name="Kc" public_interface="in" units="millimolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>i_p</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>I_p</ci>
                                <ci>Kc</ci>
                            </apply>
                            <apply>
                                <plus/>
                                <ci>K_mK</ci>
                                <ci>Kc</ci>
                            </apply>
                        </apply>
                        <ci>Nai</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>K_mNa</ci>
                        <ci>Nai</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="Na_Ca_exchanger">
        <variable cmeta:id="Na_Ca_exchanger_i_NaCa" name="i_NaCa" public_interface="out" units="nanoA"/>
        <variable initial_value="3" name="n_NaCa" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.002" name="K_NaCa" units="nanoA"/>
        <variable initial_value="0.0001" name="d_NaCa" units="dimensionless"/>
        <variable initial_value="0.5" name="gamma" units="dimensionless"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="RTONF" public_interface="in" units="millivolt"/>
        <variable name="Cao" public_interface="in" units="millimolar"/>
        <variable name="Cai" public_interface="in" units="millimolar"/>
        <variable name="Nai" public_interface="in" units="millimolar"/>
        <variable name="Nao" public_interface="in" units="millimolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>i_NaCa</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>K_NaCa</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <ci>gamma</ci>
                                            <apply>
                                                <minus/>
                                                <ci>n_NaCa</ci>
                                                <cn cellml:units="dimensionless">2</cn>
                                            </apply>
                                            <ci>V</ci>
                                        </apply>
                                        <ci>RTONF</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>Nai</ci>
                                    <ci>n_NaCa</ci>
                                </apply>
                                <ci>Cao</ci>
                            </apply>
                            <apply>
                                <times/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <apply>
                                                <minus/>
                                                <ci>gamma</ci>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <apply>
                                                <minus/>
                                                <ci>n_NaCa</ci>
                                                <cn cellml:units="dimensionless">2</cn>
                                            </apply>
                                            <ci>V</ci>
                                        </apply>
                                        <ci>RTONF</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>Nao</ci>
                                    <ci>n_NaCa</ci>
                                </apply>
                                <ci>Cai</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="millimolar4">1</cn>
                            <apply>
                                <times/>
                                <ci>d_NaCa</ci>
                                <apply>
                                    <plus/>
                                    <apply>
                                        <times/>
                                        <ci>Cai</ci>
                                        <apply>
                                            <power/>
                                            <ci>Nao</ci>
                                            <ci>n_NaCa</ci>
                                        </apply>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>Cao</ci>
                                        <apply>
                                            <power/>
                                            <ci>Nai</ci>
                                            <ci>n_NaCa</ci>
                                        </apply>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <divide/>
                                <ci>Cai</ci>
                                <cn cellml:units="millimolar">0.0069</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="fast_sodium_current">
        <variable cmeta:id="fast_sodium_current_i_Na" name="i_Na" public_interface="out" units="nanoA"/>
        <variable initial_value="1.25" name="g_Na" units="microS"/>
        <variable name="E_mh" units="millivolt"/>
        <variable name="time" private_interface="out" public_interface="in" units="second"/>
        <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
        <variable name="RTONF" public_interface="in" units="millivolt"/>
        <variable name="Nao" public_interface="in" units="millimolar"/>
        <variable name="Nai" public_interface="in" units="millimolar"/>
        <variable name="Kc" public_interface="in" units="millimolar"/>
        <variable name="Ki" public_interface="in" units="millimolar"/>
        <variable name="m" private_interface="in" units="dimensionless"/>
        <variable name="h" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E_mh</ci>
                <apply>
                    <times/>
                    <ci>RTONF</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <apply>
                                <plus/>
                                <ci>Nao</ci>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">0.12</cn>
                                    <ci>Kc</ci>
                                </apply>
                            </apply>
                            <apply>
                                <plus/>
                                <ci>Nai</ci>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">0.12</cn>
                                    <ci>Ki</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_Na</ci>
                <apply>
                    <times/>
                    <ci>g_Na</ci>
                    <apply>
                        <power/>
                        <ci>m</ci>
                        <cn cellml:units="dimensionless">3</cn>
                    </apply>
                    <ci>h</ci>
                    <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_mh</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="fast_sodium_current_m_gate">
        <variable initial_value="0.076" name="m" public_interface="out" units="dimensionless"/>
        <variable name="alpha_m" units="per_second"/>
        <variable name="beta_m" units="per_second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable initial_value="1e-5" name="delta_m" units="millivolt"/>
        <variable name="E0_m" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E0_m</ci>
                <apply>
                    <plus/>
                    <ci>V</ci>
                    <cn cellml:units="millivolt">41</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_m</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="per_second">2000</cn>
                        <apply>
                            <lt/>
                            <apply>
                                <abs/>
                                <ci>E0_m</ci>
                            </apply>
                            <ci>delta_m</ci>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_millivolt_second">200</cn>
                                <ci>E0_m</ci>
                            </apply>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="per_millivolt">0.1</cn>
                                        </apply>
                                        <ci>E0_m</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>beta_m</ci>
                <apply>
                    <times/>
                    <cn cellml:units="per_second">8000</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="per_millivolt">0.056</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <ci>V</ci>
                                <cn cellml:units="millivolt">66</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>m</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>alpha_m</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>m</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>beta_m</ci>
                        <ci>m</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="fast_sodium_current_h_gate">
        <variable initial_value="0.015" name="h" public_interface="out" units="dimensionless"/>
        <variable name="alpha_h" units="per_second"/>
        <variable name="beta_h" units="per_second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="time" public_interface="in" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>alpha_h</ci>
                <apply>
                    <times/>
                    <cn cellml:units="per_second">20</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="per_millivolt">0.125</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <ci>V</ci>
                                <cn cellml:units="millivolt">75</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_h</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="per_second">2000</cn>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">320</cn>
                            <apply>
                                <exp/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="per_millivolt">0.1</cn>
                                    </apply>
                                    <apply>
                                        <plus/>
                                        <ci>V</ci>
                                        <cn cellml:units="millivolt">75</cn>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>h</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>alpha_h</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>h</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>beta_h</ci>
                        <ci>h</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="second_inward_current">
        <variable cmeta:id="second_inward_current_i_si" name="i_si" public_interface="out" units="nanoA"/>
        <variable name="i_siCa" public_interface="out" units="nanoA"/>
        <variable name="i_siK" public_interface="out" units="nanoA"/>
        <variable name="i_siNa" public_interface="out" units="nanoA"/>
        <variable initial_value="8" name="P_si" units="nanoA_per_millimolar"/>
        <variable name="time" private_interface="out" public_interface="in" units="second"/>
        <variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
        <variable name="RTONF" public_interface="in" units="millivolt"/>
        <variable name="Nao" public_interface="in" units="millimolar"/>
        <variable name="Nai" public_interface="in" units="millimolar"/>
        <variable name="Kc" public_interface="in" units="millimolar"/>
        <variable name="Ki" public_interface="in" units="millimolar"/>
        <variable name="Cao" public_interface="in" units="millimolar"/>
        <variable name="Cai" private_interface="out" public_interface="in" units="millimolar"/>
        <variable name="d" private_interface="in" units="dimensionless"/>
        <variable name="f" private_interface="in" units="dimensionless"/>
        <variable name="f2" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>i_siCa</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">4</cn>
                            <ci>P_si</ci>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                                <cn cellml:units="millivolt">50</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>RTONF</ci>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <apply>
                                                <minus/>
                                                <ci>V</ci>
                                                <cn cellml:units="millivolt">50</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">2</cn>
                                        </apply>
                                        <ci>RTONF</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>Cai</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <cn cellml:units="millivolt">100</cn>
                                    <ci>RTONF</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>Cao</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">2</cn>
                                        </apply>
                                        <apply>
                                            <minus/>
                                            <ci>V</ci>
                                            <cn cellml:units="millivolt">50</cn>
                                        </apply>
                                    </apply>
                                    <ci>RTONF</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <ci>d</ci>
                    <ci>f</ci>
                    <ci>f2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_siK</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.01</cn>
                            <ci>P_si</ci>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                                <cn cellml:units="millivolt">50</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>RTONF</ci>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <apply>
                                                <minus/>
                                                <ci>V</ci>
                                                <cn cellml:units="millivolt">50</cn>
                                            </apply>
                                        </apply>
                                        <ci>RTONF</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>Ki</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <cn cellml:units="millivolt">50</cn>
                                    <ci>RTONF</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>Kc</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <apply>
                                            <minus/>
                                            <ci>V</ci>
                                            <cn cellml:units="millivolt">50</cn>
                                        </apply>
                                    </apply>
                                    <ci>RTONF</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <ci>d</ci>
                    <ci>f</ci>
                    <ci>f2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_siNa</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.01</cn>
                            <ci>P_si</ci>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                                <cn cellml:units="millivolt">50</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>RTONF</ci>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <apply>
                                                <minus/>
                                                <ci>V</ci>
                                                <cn cellml:units="millivolt">50</cn>
                                            </apply>
                                        </apply>
                                        <ci>RTONF</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>Nai</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <cn cellml:units="millivolt">50</cn>
                                    <ci>RTONF</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>Nao</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <apply>
                                            <minus/>
                                            <ci>V</ci>
                                            <cn cellml:units="millivolt">50</cn>
                                        </apply>
                                    </apply>
                                    <ci>RTONF</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <ci>d</ci>
                    <ci>f</ci>
                    <ci>f2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_si</ci>
                <apply>
                    <plus/>
                    <ci>i_siCa</ci>
                    <ci>i_siK</ci>
                    <ci>i_siNa</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="second_inward_current_d_gate">
        <variable initial_value="0.0011" name="d" public_interface="out" units="dimensionless"/>
        <variable name="alpha_d" units="per_second"/>
        <variable name="beta_d" units="per_second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable initial_value="0.0001" name="delta_d" units="millivolt"/>
        <variable name="E0_d" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E0_d</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn cellml:units="millivolt">24</cn>
                    </apply>
                    <cn cellml:units="millivolt">5</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_d</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="per_second">120</cn>
                        <apply>
                            <lt/>
                            <apply>
                                <abs/>
                                <ci>E0_d</ci>
                            </apply>
                            <ci>delta_d</ci>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_millivolt_second">30</cn>
                                <ci>E0_d</ci>
                            </apply>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>E0_d</ci>
                                        </apply>
                                        <cn cellml:units="millivolt">4</cn>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>beta_d</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="per_second">120</cn>
                        <apply>
                            <lt/>
                            <apply>
                                <abs/>
                                <ci>E0_d</ci>
                            </apply>
                            <ci>delta_d</ci>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_millivolt_second">12</cn>
                                <ci>E0_d</ci>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>E0_d</ci>
                                        <cn cellml:units="millivolt">10</cn>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>d</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>alpha_d</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>d</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>beta_d</ci>
                        <ci>d</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="second_inward_current_f_gate">
        <variable initial_value="0.785" name="f" public_interface="out" units="dimensionless"/>
        <variable name="alpha_f" units="per_second"/>
        <variable name="beta_f" units="per_second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable initial_value="0.0001" name="delta_f" units="millivolt"/>
        <variable name="E0_f" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E0_f</ci>
                <apply>
                    <plus/>
                    <ci>V</ci>
                    <cn cellml:units="millivolt">34</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_f</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="per_second">25</cn>
                        <apply>
                            <lt/>
                            <apply>
                                <abs/>
                                <ci>E0_f</ci>
                            </apply>
                            <ci>delta_f</ci>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_millivolt_second">6.25</cn>
                                <ci>E0_f</ci>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>E0_f</ci>
                                        <cn cellml:units="millivolt">4</cn>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>beta_f</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="per_second">50</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">1</cn>
                                    </apply>
                                    <apply>
                                        <plus/>
                                        <ci>V</ci>
                                        <cn cellml:units="millivolt">34</cn>
                                    </apply>
                                </apply>
                                <cn cellml:units="millivolt">4</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>f</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>alpha_f</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>f</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>beta_f</ci>
                        <ci>f</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="second_inward_current_f2_gate">
        <variable initial_value="0.785" name="f2" public_interface="out" units="dimensionless"/>
        <variable initial_value="10" name="alpha_f2" units="per_second"/>
        <variable name="beta_f2" units="per_second"/>
        <variable initial_value="0.0005" name="K_mf2" units="millimolar"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="Cai" public_interface="in" units="millimolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>beta_f2</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>Cai</ci>
                        <ci>alpha_f2</ci>
                    </apply>
                    <ci>K_mf2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>f2</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>alpha_f2</ci>
                    <apply>
                        <times/>
                        <ci>f2</ci>
                        <apply>
                            <plus/>
                            <ci>alpha_f2</ci>
                            <ci>beta_f2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="extracellular_sodium_concentration">
        <variable initial_value="140" name="Nao" public_interface="out" units="millimolar"/>
    </component>
    <component name="intracellular_sodium_concentration">
        <variable initial_value="7.5" name="Nai" public_interface="out" units="millimolar"/>
        <variable initial_value="0.08" name="radius" units="micrometre"/>
        <variable initial_value="0.08" name="length" units="micrometre"/>
        <variable initial_value="0.1" name="V_e_ratio" units="dimensionless"/>
        <variable name="V_Cell" units="micrometre3"/>
        <variable name="Vi" public_interface="out" units="micrometre3"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="F" public_interface="in" units="coulomb_per_mole"/>
        <variable name="i_Na" public_interface="in" units="nanoA"/>
        <variable name="i_Na_b" public_interface="in" units="nanoA"/>
        <variable name="i_siNa" public_interface="in" units="nanoA"/>
        <variable name="i_p" public_interface="in" units="nanoA"/>
        <variable name="i_fNa" public_interface="in" units="nanoA"/>
        <variable name="i_NaCa" public_interface="in" units="nanoA"/>
        <variable name="n_NaCa" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>V_Cell</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3.141592654</cn>
                    <apply>
                        <power/>
                        <ci>radius</ci>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>length</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Vi</ci>
                <apply>
                    <times/>
                    <ci>V_Cell</ci>
                    <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>V_e_ratio</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Nai</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <cn cellml:units="mA_nA">1</cn>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>i_Na</ci>
                            <ci>i_Na_b</ci>
                            <ci>i_fNa</ci>
                            <ci>i_siNa</ci>
                            <apply>
                                <times/>
                                <ci>i_p</ci>
                                <cn cellml:units="dimensionless">3</cn>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>i_NaCa</ci>
                                    <ci>n_NaCa</ci>
                                </apply>
                                <apply>
                                    <minus/>
                                    <ci>n_NaCa</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="litre_micrometre3">1</cn>
                        <ci>Vi</ci>
                        <ci>F</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="extracellular_calcium_concentration">
        <variable initial_value="2" name="Cao" public_interface="out" units="millimolar"/>
    </component>
    <component name="intracellular_calcium_concentration">
        <variable initial_value="5.8e-5" name="Cai" public_interface="out" units="millimolar"/>
        <variable name="V_up" units="micrometre3"/>
        <variable name="V_rel" units="micrometre3"/>
        <variable name="Vi" public_interface="in" units="micrometre3"/>
        <variable name="i_up" units="nanoA"/>
        <variable name="i_tr" units="nanoA"/>
        <variable name="i_rel" units="nanoA"/>
        <variable initial_value="1.98" name="Ca_up" units="millimolar"/>
        <variable initial_value="0.55" name="Ca_rel" units="millimolar"/>
        <variable initial_value="5" name="Ca_up_max" units="millimolar"/>
        <variable initial_value="0.002" name="K_mCa" units="millimolar"/>
        <variable initial_value="0.785" name="p" units="dimensionless"/>
        <variable name="alpha_p" units="per_second"/>
        <variable name="beta_p" units="per_second"/>
        <variable name="E0_p" units="millivolt"/>
        <variable initial_value="0.005" name="tau_up" units="second"/>
        <variable initial_value="0.2" name="tau_rep" units="second"/>
        <variable initial_value="0.01" name="tau_rel" units="second"/>
        <variable initial_value="2" name="rCa" units="dimensionless"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="millivolt"/>
        <variable name="F" public_interface="in" units="coulomb_per_mole"/>
        <variable name="i_Ca_b" public_interface="in" units="nanoA"/>
        <variable name="i_siCa" public_interface="in" units="nanoA"/>
        <variable name="i_NaCa" public_interface="in" units="nanoA"/>
        <variable name="n_NaCa" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>i_up</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">2</cn>
                            <cn cellml:units="litre_micrometre3">1</cn>
                            <ci>Vi</ci>
                            <ci>F</ci>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="mA_nA">1</cn>
                            <ci>tau_up</ci>
                            <ci>Ca_up_max</ci>
                        </apply>
                    </apply>
                    <ci>Cai</ci>
                    <apply>
                        <minus/>
                        <ci>Ca_up_max</ci>
                        <ci>Ca_up</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_tr</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">2</cn>
                            <cn cellml:units="litre_micrometre3">1</cn>
                            <ci>V_rel</ci>
                            <ci>F</ci>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="mA_nA">1</cn>
                            <ci>tau_rep</ci>
                        </apply>
                    </apply>
                    <ci>p</ci>
                    <apply>
                        <minus/>
                        <ci>Ca_up</ci>
                        <ci>Ca_rel</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E0_p</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>V</ci>
                        <cn cellml:units="millivolt">34</cn>
                    </apply>
                    <apply>
                        <minus/>
                        <cn cellml:units="millivolt">30</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_p</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="per_millivolt_second">0.625</cn>
                        <ci>E0_p</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>E0_p</ci>
                                <cn cellml:units="millivolt">4</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_p</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="per_second">5</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">1</cn>
                                    </apply>
                                    <ci>E0_p</ci>
                                </apply>
                                <cn cellml:units="millivolt">4</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_rel</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <cn cellml:units="litre_micrometre3">1</cn>
                                <ci>V_rel</ci>
                                <ci>F</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="mA_nA">1</cn>
                                <ci>tau_rel</ci>
                            </apply>
                        </apply>
                        <ci>Ca_rel</ci>
                        <apply>
                            <power/>
                            <ci>Cai</ci>
                            <ci>rCa</ci>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <power/>
                            <ci>Cai</ci>
                            <ci>rCa</ci>
                        </apply>
                        <apply>
                            <power/>
                            <ci>K_mCa</ci>
                            <ci>rCa</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>p</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>alpha_p</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>p</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>beta_p</ci>
                        <ci>p</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Ca_up</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="mA_nA">1</cn>
                        <apply>
                            <minus/>
                            <ci>i_up</ci>
                            <ci>i_tr</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <cn cellml:units="litre_micrometre3">1</cn>
                        <ci>V_up</ci>
                        <ci>F</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>V_up</ci>
                <apply>
                    <times/>
                    <ci>Vi</ci>
                    <cn cellml:units="dimensionless">0.05</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Ca_rel</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="mA_nA">1</cn>
                        <apply>
                            <minus/>
                            <ci>i_tr</ci>
                            <ci>i_rel</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <cn cellml:units="litre_micrometre3">1</cn>
                        <ci>V_rel</ci>
                        <ci>F</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>V_rel</ci>
                <apply>
                    <times/>
                    <ci>Vi</ci>
                    <cn cellml:units="dimensionless">0.02</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Cai</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <cn cellml:units="mA_nA">1</cn>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <plus/>
                                        <ci>i_siCa</ci>
                                        <ci>i_Ca_b</ci>
                                    </apply>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <cn cellml:units="dimensionless">2</cn>
                                            <ci>i_NaCa</ci>
                                        </apply>
                                        <apply>
                                            <minus/>
                                            <ci>n_NaCa</ci>
                                            <cn cellml:units="dimensionless">2</cn>
                                        </apply>
                                    </apply>
                                </apply>
                                <ci>i_rel</ci>
                            </apply>
                            <ci>i_up</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <cn cellml:units="litre_micrometre3">1</cn>
                        <ci>Vi</ci>
                        <ci>F</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="extracellular_potassium_concentration">
        <variable initial_value="3" name="Kc" public_interface="out" units="millimolar"/>
        <variable initial_value="0.00016077" name="V_e" units="micrometre3"/>
        <variable initial_value="3" name="Kb" units="millimolar"/>
        <variable name="i_mK" public_interface="out" units="nanoA"/>
        <variable initial_value="1" name="pf" units="per_second"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="F" public_interface="in" units="coulomb_per_mole"/>
        <variable name="i_K1" public_interface="in" units="nanoA"/>
        <variable name="i_K" public_interface="in" units="nanoA"/>
        <variable name="i_fK" public_interface="in" units="nanoA"/>
        <variable name="i_siK" public_interface="in" units="nanoA"/>
        <variable name="i_p" public_interface="in" units="nanoA"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>i_mK</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>i_K1</ci>
                        <ci>i_K</ci>
                        <ci>i_fK</ci>
                        <ci>i_siK</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>i_p</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Kc</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <ci>pf</ci>
                        </apply>
                        <apply>
                            <minus/>
                            <ci>Kc</ci>
                            <ci>Kb</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="mA_nA">1</cn>
                            <ci>i_mK</ci>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="litre_micrometre3">1</cn>
                            <ci>V_e</ci>
                            <ci>F</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="intracellular_potassium_concentration">
        <variable initial_value="140" name="Ki" public_interface="out" units="millimolar"/>
        <variable name="Vi" public_interface="in" units="micrometre3"/>
        <variable name="i_mK" public_interface="in" units="nanoA"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="F" public_interface="in" units="coulomb_per_mole"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Ki</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <cn cellml:units="mA_nA">1</cn>
                        </apply>
                        <ci>i_mK</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="litre_micrometre3">1</cn>
                        <ci>Vi</ci>
                        <ci>F</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <group>
        <relationship_ref relationship="containment"/>
        <component_ref component="membrane">
            <component_ref component="hyperpolarising_activated_current">
                <component_ref component="hyperpolarising_activated_current_y_gate"/>
            </component_ref>
            <component_ref component="time_dependent_potassium_current">
                <component_ref component="time_dependent_potassium_current_x_gate"/>
            </component_ref>
            <component_ref component="time_independent_potassium_current"/>
            <component_ref component="sodium_background_current"/>
            <component_ref component="calcium_background_current"/>
            <component_ref component="sodium_potassium_pump"/>
            <component_ref component="Na_Ca_exchanger"/>
            <component_ref component="fast_sodium_current">
                <component_ref component="fast_sodium_current_m_gate"/>
                <component_ref component="fast_sodium_current_h_gate"/>
            </component_ref>
            <component_ref component="second_inward_current">
                <component_ref component="second_inward_current_d_gate"/>
                <component_ref component="second_inward_current_f_gate"/>
                <component_ref component="second_inward_current_f2_gate"/>
            </component_ref>
            <component_ref component="intracellular_sodium_concentration"/>
            <component_ref component="extracellular_sodium_concentration"/>
            <component_ref component="intracellular_calcium_concentration"/>
            <component_ref component="extracellular_calcium_concentration"/>
            <component_ref component="extracellular_potassium_concentration"/>
            <component_ref component="intracellular_potassium_concentration"/>
        </component_ref>
    </group>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="hyperpolarising_activated_current">
            <component_ref component="hyperpolarising_activated_current_y_gate"/>
        </component_ref>
        <component_ref component="time_dependent_potassium_current">
            <component_ref component="time_dependent_potassium_current_x_gate"/>
        </component_ref>
        <component_ref component="fast_sodium_current">
            <component_ref component="fast_sodium_current_m_gate"/>
            <component_ref component="fast_sodium_current_h_gate"/>
        </component_ref>
        <component_ref component="second_inward_current">
            <component_ref component="second_inward_current_d_gate"/>
            <component_ref component="second_inward_current_f_gate"/>
            <component_ref component="second_inward_current_f2_gate"/>
        </component_ref>
    </group>
    <connection>
        <map_components component_1="membrane" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="hyperpolarising_activated_current" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="time_dependent_potassium_current" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="time_independent_potassium_current" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="sodium_background_current" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
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