- Author:
- AnthonyM <amarchand@enseirb.fr>
- Date:
- 2015-09-11 16:00:51+12:00
- Desc:
- done
- Permanent Source URI:
- https://models.cellml.org/workspace/24c/rawfile/0cd7bc75ad7753857372f44403e3e401fc7627b8/difrancesco_noble_1985.cellml
<?xml version='1.0'?>
<model cmeta:id="difrancesco_noble_1985" name="difrancesco_noble_1985" 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="microS_per_millimolar">
<unit units="microS"/>
<unit exponent="-1" units="millimolar"/>
</units>
<units name="joule_per_kilomole_kelvin">
<unit units="joule"/>
<unit exponent="-1" prefix="kilo" units="mole"/>
<unit exponent="-1" units="kelvin"/>
</units>
<units name="coulomb_per_mole">
<unit units="coulomb"/>
<unit exponent="-1" units="mole"/>
</units>
<units name="micrometre">
<unit prefix="micro" units="metre"/>
</units>
<units name="micrometre3">
<unit exponent="3" prefix="micro" units="metre"/>
</units>
<units name="litre_micrometre3">
<unit units="litre"/>
<unit exponent="-1" units="micrometre3"/>
</units>
<component name="environment">
<variable cmeta:id="environment_time" name="time" public_interface="out" units="second"/>
</component>
<component cmeta:id="id_00001" name="membrane">
<variable cmeta:id="membrane_V" initial_value="-50" 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 name="RTONF" public_interface="out" units="millivolt"/>
<variable initial_value="0.075" name="C" units="microF"/>
<variable initial_value="0" name="i_pulse" units="nanoA"/>
<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_to" 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="itot" public_interface="out" units="nanoA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>itot</ci>
<apply>
<plus/>
<ci>i_f</ci>
<ci>i_K</ci>
<ci>i_K1</ci>
<ci>i_to</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>
<ci>i_pulse</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>RTONF</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>itot</ci>
</apply>
<ci>C</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00002" 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="3" name="g_f_Na" units="microS"/>
<variable initial_value="3" 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 cmeta:id="id_00003" name="hyperpolarising_activated_current_y_gate">
<variable initial_value="0.2" 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"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">52</cn>
</apply>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E0_y</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">52</cn>
</apply>
<cn cellml:units="millivolt">10</cn>
</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/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">1</cn>
<ci>E0_y</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">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>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>y</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_y</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>y</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_y</ci>
<ci>y</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00039" 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="180" 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 cmeta:id="id_00040" name="time_dependent_potassium_current_x_gate">
<variable initial_value="0.01" 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"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_x</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_second">0.5</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0826</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.057</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_x</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_second">1.3</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.06</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.04</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</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 cmeta:id="id_00041" 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="920" name="g_K1" units="microS"/>
<variable initial_value="210" 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 cmeta:id="id_00042" name="transient_outward_current">
<variable cmeta:id="transient_outward_current_i_to" name="i_to" public_interface="out" units="nanoA"/>
<variable initial_value="10" name="Km_to" units="millimolar"/>
<variable initial_value="0.0005" name="Km_Ca" units="millimolar"/>
<variable initial_value="0.28" name="g_to" units="microS_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="Kc" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="Cai" public_interface="in" units="millimolar"/>
<variable name="s" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_to</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>s</ci>
<ci>g_to</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">0.2</cn>
<apply>
<divide/>
<ci>Kc</ci>
<apply>
<plus/>
<ci>Km_to</ci>
<ci>Kc</ci>
</apply>
</apply>
</apply>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Km_Ca</ci>
<ci>Cai</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.2</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>V</ci>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Kc</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
<ci>V</ci>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00043" name="transient_outward_current_s_gate">
<variable initial_value="1" name="s" public_interface="out" units="dimensionless"/>
<variable name="alpha_s" units="per_second"/>
<variable name="beta_s" 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_s</ci>
<apply>
<times/>
<cn cellml:units="per_second">0.033</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">17</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_s</ci>
<apply>
<divide/>
<cn cellml:units="per_second">33</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="millivolt">8</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>s</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_s</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>s</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_s</ci>
<ci>s</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00044" 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="0.18" 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 cmeta:id="id_00045" 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="0.02" 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="125" 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="0.02" name="K_NaCa" units="nanoA"/>
<variable initial_value="0.001" 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="E_Na" public_interface="in" units="millivolt"/>
<variable name="Nai" public_interface="in" units="millimolar"/>
<variable name="Nao" public_interface="in" units="millimolar"/>
<variable name="E_Ca" public_interface="in" units="millivolt"/>
<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 cmeta:id="id_00046" name="fast_sodium_current">
<variable cmeta:id="fast_sodium_current_i_Na" name="i_Na" public_interface="out" units="nanoA"/>
<variable initial_value="750" 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 cmeta:id="id_00047" name="fast_sodium_current_m_gate">
<variable initial_value="0.01" 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"/>
<variable name="m_cube" public_interface="out" units="dimensionless"/>
<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>m_cube</ci>
<apply>
<power/>
<ci>m</ci>
<cn cellml:units="dimensionless">3</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 cmeta:id="id_00048" name="fast_sodium_current_h_gate">
<variable initial_value="0.8" 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 cmeta:id="id_00049" 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="15" 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 cmeta:id="id_00050" name="second_inward_current_d_gate">
<variable initial_value="0.005" 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 cmeta:id="id_00051" name="second_inward_current_f_gate">
<variable initial_value="1" 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 cmeta:id="id_00052" name="second_inward_current_f2_gate">
<variable initial_value="1" name="f2" public_interface="out" units="dimensionless"/>
<variable initial_value="5" name="alpha_f2" units="per_second"/>
<variable name="beta_f2" units="per_second"/>
<variable initial_value="0.001" 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/>
<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>
<apply>
<eq/>
<ci>beta_f2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Cai</ci>
<ci>alpha_f2</ci>
</apply>
<ci>K_mf2</ci>
</apply>
</apply>
</math>
</component>
<component name="extracellular_sodium_concentration">
<variable name="Nao" public_interface="out" units="millimolar"/>
<variable initial_value="5" name="Nao_inf" units="millimolar"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Nao</ci>
<piecewise>
<piece>
<cn cellml:units="millimolar">140</cn>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="second">120</cn>
</apply>
</piece>
<piece>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Nao_inf</ci>
<cn cellml:units="millimolar">140</cn>
</apply>
<cn cellml:units="second">30</cn>
</apply>
<apply>
<minus/>
<ci>time</ci>
<cn cellml:units="second">120</cn>
</apply>
</apply>
<cn cellml:units="millimolar">140</cn>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="second">120</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="second">150</cn>
</apply>
</apply>
</piece>
<piece>
<ci>Nao_inf</ci>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="second">150</cn>
</apply>
</piece>
</piecewise>
</apply>
</math>
</component>
<component name="intracellular_sodium_concentration">
<variable initial_value="25" name="Nai" public_interface="out" units="millimolar"/>
<variable initial_value="0.05" name="radius" units="micrometre"/>
<variable initial_value="2" 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="5e-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="2" name="Ca_up" units="millimolar"/>
<variable initial_value="1" name="Ca_rel" units="millimolar"/>
<variable initial_value="5" name="Ca_up_max" units="millimolar"/>
<variable initial_value="0.001" name="K_mCa" units="millimolar"/>
<variable initial_value="1" name="p" units="dimensionless"/>
<variable name="alpha_p" units="per_second"/>
<variable name="beta_p" units="per_second"/>
<variable initial_value="0.025" name="tau_up" units="second"/>
<variable initial_value="2" name="tau_rep" units="second"/>
<variable initial_value="0.05" 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>alpha_p</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">0.625</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">34</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">34</cn>
</apply>
<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>
<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/>
<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="4" name="Kc" public_interface="out" units="millimolar"/>
<variable initial_value="0.00157" name="Ve" units="micrometre3"/>
<variable initial_value="4" name="Kb" units="millimolar"/>
<!--var Kb: millimolar;-->
<variable name="i_mK" public_interface="out" units="nanoA"/>
<variable initial_value="0.7" 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"/>
<variable name="i_to" public_interface="in" units="nanoA"/>
<variable initial_value="0" name="t_max" units="second"/>
<!-- Kb = sel
case (time < t_max) and (time >= 90{second}):
0{millimolar};
otherwise:
4{millimolar};
endsel;-->
<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>
<ci>i_to</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>Ve</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="transient_outward_current">
<component_ref component="transient_outward_current_s_gate"/>
</component_ref>
<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="transient_outward_current">
<component_ref component="transient_outward_current_s_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="extracellular_sodium_concentration" 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="transient_outward_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_background_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="calcium_background_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_potassium_pump" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Na_Ca_exchanger" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="second_inward_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_sodium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_calcium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="extracellular_potassium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_potassium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="hyperpolarising_activated_current" component_2="membrane"/>
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