- Author:
- aram148 <a.rampadarath@auckland.ac.nz>
- Date:
- 2021-09-01 13:35:00+12:00
- Desc:
- Added coupled USMC model
maggio + Bursztyn model
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/6b0/rawfile/7863a08ae43627665fd6f9513f1e4e67dc175b34/USMC/testrow.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="testrow_2018" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<units name="S">
<unit units="ampere"/>
<unit exponent="-1" units="volt"/>
</units>
<units name="Farad">
<unit units="coulomb"/>
<unit exponent="-1" units="volt"/>
</units>
<units name="nS_per_pF">
<unit prefix="nano" units="S"/>
<unit exponent="-1" prefix="pico" units="Farad"/>
</units>
<units name="mV">
<unit prefix="milli" units="volt"/>
</units>
<units name="uM">
<unit prefix="micro" units="mole"/>
</units>
<units name="per_cm2">
<unit exponent="-2" prefix="centi" units="meter"/>
</units>
<units name="pF">
<unit prefix="pico" units="Farad"/>
</units>
<units name="ms">
<unit prefix="milli" units="second"/>
</units>
<units name="cm3_per_s">
<unit exponent="3" prefix="centi" units="meter"/>
<unit exponent="-1" units="second"/>
</units>
<units name="pA_per_pf">
<unit prefix="pico" units="ampere"/>
<unit exponent="-1" units="pf"/>
</units>
<units name="mM_per_ms">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="ms"/>
</units>
<units name="mM">
<unit prefix="milli" units="mole"/>
</units>
<units name="nmol_J_s_cm2">
<unit exponent="-2" prefix="nano" units="mole"/>
<unit exponent="-1" units="joule"/>
<unit exponent="-1" units="second"/>
<unit exponent="2" prefix="centi" units="meter"/>
</units>
<units name="cm2">
<unit exponent="2" prefix="centi" units="meter"/>
</units>
<units name="cm3">
<unit exponent="3" prefix="centi" units="meter"/>
</units>
<units name="uM_percm2">
<unit units="uM"/>
<unit units="per_cm2"/>
</units>
<units name="C_Per_Mol">
<unit units="coulomb"/>
<unit prefix="-1" units="mole"/>
</units>
<units name="pA">
<unit prefix="pico" units="ampere"/>
</units>
<units name="mM2_per_ms">
<unit exponent="2" prefix="milli" units="mole"/>
<unit exponent="-1" units="ms"/>
</units>
<units name="per_ms">
<unit exponent="-1" prefix="milli" units="second"/>
</units>
<units name="nM">
<unit prefix="nano" units="mole"/>
</units>
<units name="mC_per_mmol">
<unit prefix="milli" units="coulomb"/>
<unit exponent="-1" prefix="milli" units="mole"/>
</units>
<units name="molar_gas_const">
<unit prefix="micro" units="joule"/>
<unit exponent="-1" units="kelvin"/>
<unit exponent="-1" prefix="milli" units="mole"/>
</units>
<units name="um">
<unit prefix="micro" units="meter"/>
</units>
<units name="uN">
<unit prefix="micro" units="newton"/>
</units>
<units name="uN_per_um">
<unit units="uN"/>
<unit exponent="-1" units="um"/>
</units>
<units name="uN_ms_per_um">
<unit units="uN"/>
<unit prefix="milli" units="meter"/>
<unit exponent="-1" units="um"/>
</units>
<component name="LT_CC">
<variable name="I_cal" units="dimensionless"/>
<variable initial_value="0.318" name="gb_cal" units="nS_per_pF"/>
<variable initial_value="0.0133195" name="d" units="dimensionless"/>
<variable name="f_ca" units="dimensionless"/>
<variable initial_value="0.938986" name="f1" units="dimensionless"/>
<variable initial_value="0.938986" name="f2" units="dimensionless"/>
<variable name="V" units="mV"/>
<variable initial_value="45" name="E_cal" units="mV"/>
<variable name="f_inf" units="dimensionless"/>
<variable name="tau_d" units="dimensionless"/>
<variable initial_value="12" name="tau_f1" units="ms"/>
<variable name="tau_f2" units="dimensionless"/>
<variable name="d_inf" units="dimensionless"/>
<variable initial_value="9.46e-5" name="Ca_i" units="Mm"/>
<variable initial_value="0.6" name="K_mcal" units="uM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_cal</ci>
<apply>
<times/>
<ci>gb_cal</ci>
<apply>
<power/>
<ci>d</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>f_ca</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.8</cn>
<ci>f1</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.2</cn>
<ci>f2</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_cal</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_ca</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Ca_i</ci>
<ci>K_mcal</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="dimensionless">22</cn>
</apply>
<cn cellml:units="dimensionless">7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="dimensionless">33</cn>
</apply>
<cn cellml:units="dimensionless">7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.29</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">5.7</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="dimensionless">29.97</cn>
</apply>
<cn cellml:units="dimensionless">9</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">90.97</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">90.97</cn>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="dimensionless">13.96</cn>
</apply>
<cn cellml:units="dimensionless">45.38</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="dimensionless">9.5</cn>
</apply>
<cn cellml:units="dimensionless">3.39</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>d_inf</ci>
<ci>d</ci>
</apply>
<ci>tau_d</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f1</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_inf</ci>
<ci>f1</ci>
</apply>
<ci>tau_f1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_inf</ci>
<ci>f2</ci>
</apply>
<ci>tau_f2</ci>
</apply>
</apply>
</math>
</component>
</model>
