- Author:
- AnthonyM <amarchand@enseirb.fr>
- Date:
- 2015-08-13 09:49:00+12:00
- Desc:
- remove documentation
- Permanent Source URI:
- http://models.cellml.org/workspace/24d/rawfile/e435040912431805a06434a5f58f0bc0c903e3a6/luo_rudy_1991.cellml
<?xml version='1.0'?>
<model cmeta:id="luo_rudy_1991" name="luo_rudy_1991" 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="millisecond">
<unit prefix="milli" units="second"/>
</units>
<units name="per_millisecond">
<unit exponent="-1" prefix="milli" 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_millisecond">
<unit exponent="-1" units="millivolt"/>
<unit exponent="-1" units="millisecond"/>
</units>
<units name="per_1000_centimetre">
<unit exponent="-1" multiplier="1000" prefix="-2" units="metre"/>
</units>
<units name="milliS_per_cm2">
<unit prefix="milli" units="siemens"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="microF_per_cm2">
<unit prefix="micro" units="farad"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="microA_per_cm2">
<unit prefix="micro" units="ampere"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="millimolar">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="litre"/>
</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>
<component name="environment">
<variable name="time" public_interface="out" units="millisecond"/>
</component>
<component cmeta:id="id_00001" name="membrane">
<variable cmeta:id="id_00002" initial_value="41.7" name="V" public_interface="out" units="millivolt"/>
<variable initial_value="8314" name="R" public_interface="out" units="joule_per_kilomole_kelvin"/>
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="96484.6" name="F" public_interface="out" units="coulomb_per_mole"/>
<variable initial_value="1" name="C" units="microF_per_cm2"/>
<variable name="I_stim" units="microA_per_cm2"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable cmeta:id="id_00024" name="i_Na" public_interface="in" units="microA_per_cm2"/>
<variable name="i_si" public_interface="in" units="microA_per_cm2"/>
<variable cmeta:id="id_00025" name="i_K" public_interface="in" units="microA_per_cm2"/>
<variable name="i_K1" public_interface="in" units="microA_per_cm2"/>
<variable name="i_Kp" public_interface="in" units="microA_per_cm2"/>
<variable name="i_b" public_interface="in" units="microA_per_cm2"/>
<variable initial_value="500" name="stim_start" units="millisecond"/>
<variable initial_value="9000" name="stim_end" units="millisecond"/>
<variable initial_value="3000" name="stim_period" units="millisecond"/>
<variable initial_value="100" name="stim_duration" units="millisecond"/>
<variable initial_value="-1.77" name="stim_amplitude" units="microA_per_cm2"/>
<variable name="i_k_t" public_interface="out" units="microA_per_cm2"/>
<!-- case (time <= 1{millisecond}):
stim_amplitude; -->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_stim</ci>
<piecewise>
<piece>
<ci>stim_amplitude</ci>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<ci>stim_start</ci>
</apply>
<apply>
<leq/>
<ci>time</ci>
<ci>stim_end</ci>
</apply>
<apply>
<leq/>
<apply>
<minus/>
<apply>
<minus/>
<ci>time</ci>
<ci>stim_start</ci>
</apply>
<apply>
<times/>
<apply>
<floor/>
<apply>
<divide/>
<apply>
<minus/>
<ci>time</ci>
<ci>stim_start</ci>
</apply>
<ci>stim_period</ci>
</apply>
</apply>
<ci>stim_period</ci>
</apply>
</apply>
<ci>stim_duration</ci>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="microA_per_cm2">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>C</ci>
</apply>
<apply>
<plus/>
<ci>I_stim</ci>
<ci>i_Na</ci>
<ci>i_si</ci>
<ci>i_K</ci>
<ci>i_K1</ci>
<ci>i_Kp</ci>
<ci>i_b</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_k_t</ci>
<apply>
<plus/>
<ci>i_K1</ci>
<ci>i_Kp</ci>
<ci>i_b</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00003" name="fast_sodium_current">
<variable cmeta:id="id_00048" name="i_Na" public_interface="out" units="microA_per_cm2"/>
<variable cmeta:id="id_00049" initial_value="23" name="g_Na" units="milliS_per_cm2"/>
<variable cmeta:id="id_00050" name="E_Na" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable cmeta:id="id_00051" name="Nao" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00052" name="Nai" public_interface="in" units="millimolar"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="m" private_interface="in" units="dimensionless"/>
<variable name="h" private_interface="in" units="dimensionless"/>
<variable name="j" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Nao</ci>
<ci>Nai</ci>
</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>
<ci>j</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00004" name="fast_sodium_current_m_gate">
<variable initial_value="0.00171338077730188" name="m" public_interface="out" units="dimensionless"/>
<variable name="alpha_m" units="per_millisecond"/>
<variable name="beta_m" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_m</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond">0.32</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">47.13</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</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">47.13</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.08</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">11</cn>
</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_00005" name="fast_sodium_current_h_gate">
<variable initial_value="0.982660523699656" name="h" public_interface="out" units="dimensionless"/>
<variable name="alpha_h" units="per_millisecond"/>
<variable name="beta_h" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_h</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.135</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="millivolt">80</cn>
<ci>V</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">6.8</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_millisecond">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_h</ci>
<piecewise>
<piece>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_millisecond">3.56</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.079</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millisecond">310000</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.35</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="millisecond">0.13</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10.66</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">11.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</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_00006" name="fast_sodium_current_j_gate">
<variable initial_value="0.989108212766685" name="j" public_interface="out" units="dimensionless"/>
<variable name="alpha_j" units="per_millisecond"/>
<variable name="beta_j" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_j</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt_millisecond">127140</cn>
</apply>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.2444</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond">0.00003474</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.04391</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">37.78</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.311</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">79.23</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_millisecond">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_j</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.1212</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.01052</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.1378</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">40.14</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.3</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.0000002535</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</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">32</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>j</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_j</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>j</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_j</ci>
<ci>j</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00028" name="slow_inward_current">
<variable cmeta:id="id_00030" name="i_si" public_interface="out" units="microA_per_cm2"/>
<variable cmeta:id="id_00031" name="E_si" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable cmeta:id="id_00029" name="Cai" public_interface="in" units="millimolar"/>
<variable name="d" private_interface="in" units="dimensionless"/>
<variable name="f" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_si</ci>
<apply>
<minus/>
<cn cellml:units="millivolt">7.7</cn>
<apply>
<times/>
<cn cellml:units="millivolt">13.0287</cn>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cai</ci>
<cn cellml:units="millimolar">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_si</ci>
<apply>
<times/>
<cn cellml:units="milliS_per_cm2">0.09</cn>
<ci>d</ci>
<ci>f</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_si</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00026" name="slow_inward_current_d_gate">
<variable initial_value="0.00302126301779861" name="d" public_interface="out" units="dimensionless"/>
<variable name="alpha_d" units="per_millisecond"/>
<variable name="beta_d" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_d</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.095</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.01</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.072</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.07</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.017</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">44</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.05</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">44</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</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_00027" name="slow_inward_current_f_gate">
<variable initial_value="0.999967936476325" name="f" public_interface="out" units="dimensionless"/>
<variable name="alpha_f" units="per_millisecond"/>
<variable name="beta_f" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_f</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.012</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.008</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.15</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.0065</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.02</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.2</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</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_00007" name="time_dependent_potassium_current">
<variable cmeta:id="id_00034" name="i_K" public_interface="out" units="microA_per_cm2"/>
<variable cmeta:id="id_00033" name="g_K" units="milliS_per_cm2"/>
<variable cmeta:id="id_00032" name="E_K" units="millivolt"/>
<variable initial_value="0.01833" name="PR_NaK" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable cmeta:id="id_00035" name="Ko" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00036" name="Ki" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00037" name="Nao" public_interface="in" units="millimolar"/>
<variable cmeta:id="id_00038" name="Nai" public_interface="in" units="millimolar"/>
<variable name="X" private_interface="in" units="dimensionless"/>
<variable name="Xi" private_interface="in" units="dimensionless"/>
<variable name="i_Kfull" public_interface="out" units="microA_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K</ci>
<apply>
<times/>
<cn cellml:units="milliS_per_cm2">0.282</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>Ko</ci>
<cn cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ko</ci>
<apply>
<times/>
<ci>PR_NaK</ci>
<ci>Nao</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>Ki</ci>
<apply>
<times/>
<ci>PR_NaK</ci>
<ci>Nai</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K</ci>
<apply>
<times/>
<ci>g_K</ci>
<ci>X</ci>
<ci>Xi</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Kfull</ci>
<apply>
<times/>
<ci>g_K</ci>
<ci>Xi</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00008" name="time_dependent_potassium_current_X_gate">
<variable initial_value="0.0417603108167287" name="X" public_interface="out" units="dimensionless"/>
<variable name="alpha_X" units="per_millisecond"/>
<variable name="beta_X" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_X</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.0005</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.083</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_millisecond">0.0013</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_00009" name="time_dependent_potassium_current_Xi_gate">
<variable name="Xi" public_interface="out" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Xi</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="millivolt">2.837</cn>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.04</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">77</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">77</cn>
</apply>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.04</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">35</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="millivolt">100</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">1</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component cmeta:id="id_00010" name="time_independent_potassium_current">
<variable cmeta:id="id_00039" name="i_K1" public_interface="out" units="microA_per_cm2"/>
<variable cmeta:id="id_00040" name="E_K1" private_interface="out" public_interface="out" units="millivolt"/>
<variable cmeta:id="id_00041" name="g_K1" units="milliS_per_cm2"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Ko" public_interface="in" units="millimolar"/>
<variable name="Ki" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable cmeta:id="id_00047" name="K1_infinity" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K1</ci>
<apply>
<times/>
<cn cellml:units="milliS_per_cm2">0.6047</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>Ko</ci>
<cn cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_K1</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ko</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K1</ci>
<apply>
<times/>
<ci>g_K1</ci>
<ci>K1_infinity</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00011" name="time_independent_potassium_current_K1_gate">
<variable name="K1_infinity" public_interface="out" units="dimensionless"/>
<variable name="alpha_K1" units="per_millisecond"/>
<variable name="beta_K1" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable cmeta:id="id_00042" name="E_K1" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_K1</ci>
<apply>
<divide/>
<cn cellml:units="per_millisecond">1.02</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.2385</cn>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K1</ci>
</apply>
<cn cellml:units="millivolt">59.215</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_K1</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.49124</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.08032</cn>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">5.476</cn>
</apply>
<ci>E_K1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millisecond">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.06175</cn>
<apply>
<minus/>
<ci>V</ci>
<apply>
<plus/>
<ci>E_K1</ci>
<cn cellml:units="millivolt">594.31</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.5143</cn>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K1</ci>
</apply>
<cn cellml:units="millivolt">4.753</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K1_infinity</ci>
<apply>
<divide/>
<ci>alpha_K1</ci>
<apply>
<plus/>
<ci>alpha_K1</ci>
<ci>beta_K1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00022" name="plateau_potassium_current">
<variable cmeta:id="id_00023" name="i_Kp" public_interface="out" units="microA_per_cm2"/>
<variable cmeta:id="id_00043" name="E_Kp" units="millivolt"/>
<variable cmeta:id="id_00044" initial_value="0.0183" name="g_Kp" units="milliS_per_cm2"/>
<variable name="Kp" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable cmeta:id="id_00046" name="E_K1" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Kp</ci>
<ci>E_K1</ci>
</apply>
<apply>
<eq/>
<ci>Kp</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="millivolt">7.488</cn>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">5.98</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Kp</ci>
<apply>
<times/>
<ci>g_Kp</ci>
<ci>Kp</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Kp</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00018" name="background_current">
<variable cmeta:id="id_00019" name="i_b" public_interface="out" units="microA_per_cm2"/>
<variable cmeta:id="id_00020" initial_value="-59.87" name="E_b" units="millivolt"/>
<variable cmeta:id="id_00021" initial_value="0.03921" name="g_b" units="milliS_per_cm2"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_b</ci>
<apply>
<times/>
<ci>g_b</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_b</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ionic_concentrations">
<variable cmeta:id="id_00014" initial_value="140" name="Nao" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00015" initial_value="18" name="Nai" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00016" initial_value="145" name="Ki" public_interface="out" units="millimolar"/>
<variable cmeta:id="id_00017" initial_value="5.4" name="Ko" public_interface="out" units="millimolar"/>
</component>
<component cmeta:id="id_00012" name="intracellular_calcium_concentration">
<variable cmeta:id="id_00013" initial_value="0.00017948816388306" name="Cai" public_interface="out" units="millimolar"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable cmeta:id="id_00045" name="i_si" public_interface="in" units="microA_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="per_1000_centimetre">0.0001</cn>
</apply>
<cn cellml:units="coulomb_per_mole">1</cn>
</apply>
<ci>i_si</ci>
</apply>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.07</cn>
<apply>
<minus/>
<cn cellml:units="millimolar">0.0001</cn>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<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="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="slow_inward_current">
<component_ref component="slow_inward_current_d_gate"/>
<component_ref component="slow_inward_current_f_gate"/>
</component_ref>
<component_ref component="time_dependent_potassium_current">
<component_ref component="time_dependent_potassium_current_X_gate"/>
<component_ref component="time_dependent_potassium_current_Xi_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
<component_ref component="plateau_potassium_current"/>
<component_ref component="background_current"/>
<component_ref component="ionic_concentrations"/>
<component_ref component="intracellular_calcium_concentration"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
<component_ref component="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="slow_inward_current">
<component_ref component="slow_inward_current_d_gate"/>
<component_ref component="slow_inward_current_f_gate"/>
</component_ref>
<component_ref component="time_dependent_potassium_current">
<component_ref component="time_dependent_potassium_current_X_gate"/>
<component_ref component="time_dependent_potassium_current_Xi_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_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="fast_sodium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="slow_inward_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="intracellular_calcium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="fast_sodium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Na" variable_2="i_Na"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="slow_inward_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_si" variable_2="i_si"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="time_dependent_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_K" variable_2="i_K"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="time_independent_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_K1" variable_2="i_K1"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="plateau_potassium_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Kp" variable_2="i_Kp"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="background_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_b" variable_2="i_b"/>
</connection>
<connection>
<map_components component_1="slow_inward_current" component_2="intracellular_calcium_concentration"/>
<map_variables variable_1="i_si" variable_2="i_si"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
</connection>
<connection>
<map_components component_1="time_dependent_potassium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="Ki" variable_2="Ki"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
</connection>
<connection>
<map_components component_1="time_independent_potassium_current" component_2="plateau_potassium_current"/>
<map_variables variable_1="E_K1" variable_2="E_K1"/>
</connection>
<connection>
<map_components component_1="time_independent_potassium_current" component_2="ionic_concentrations"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="Ki" variable_2="Ki"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="fast_sodium_current_m_gate"/>
<map_variables variable_1="m" variable_2="m"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="fast_sodium_current" component_2="fast_sodium_current_h_gate"/>
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