- Author:
- aram148 <42922407+aram148@users.noreply.github.com>
- Date:
- 2020-11-17 15:17:15+13:00
- Desc:
- Create nernst_eg.cellml
- Permanent Source URI:
- https://models.cellml.org/workspace/610/rawfile/3af550579a2d5d8d63c85f086d3e95b39ae122fa/nernst_eg.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="reversal_potential" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<units name="K">
<unit units="kelvin"/>
</units>
<units name="mM">
<unit units="nmol"/>
<unit exponent="-3" units="mm"/>
</units>
<units name="nmol">
<unit prefix="nano" units="mole"/>
</units>
<units name="mm">
<unit prefix="milli" units="metre"/>
</units>
<units name="gas_constant">
<unit units="pJ"/>
<unit exponent="-1" units="nmol"/>
<unit exponent="-1" units="K"/>
</units>
<units name="pJ">
<unit prefix="pico" units="joule"/>
</units>
<units name="faradays_constant">
<unit units="nC"/>
<unit exponent="-1" units="nmol"/>
</units>
<units name="nC">
<unit prefix="nano" units="coulomb"/>
</units>
<units name="mV">
<unit prefix="milli" units="volt"/>
</units>
<units name="per_second">
<unit exponent="-1" units="second"/>
</units>
<component name="environment">
<variable cmeta:id="environment_time" name="time" public_interface="out" units="second"/>
</component>
<component cmeta:id="ca-nernst-calculation" name="Ca_ion">
<variable name="time" public_interface="in" units="second"/>
<variable cmeta:id="valence" initial_value="2" name="z" public_interface="out" units="dimensionless"/>
<variable cmeta:id="temperature" initial_value="310.5" name="T" units="K"/>
<variable cmeta:id="cai" initial_value="0.000075" name="Ca_i" units="mM"/>
<variable cmeta:id="cao" initial_value="2" name="Ca_o" units="mM"/>
<variable cmeta:id="gas-constant" initial_value="8314.472" name="R" public_interface="out" units="gas_constant"/>
<variable cmeta:id="faradays-constant" initial_value="96485.0" name="F" public_interface="out" units="faradays_constant"/>
<variable cmeta:id="nernst-potential" name="V_Ca" public_interface="out" units="mV"/>
<variable name="kappa_L1" public_interface="out" units="per_second"/>
<variable initial_value="0.132" name="kappa_P1" public_interface="out" units="per_second"/>
<variable name="kappa_L2" public_interface="out" units="per_second"/>
<variable initial_value="3.78" name="kappa_P2" public_interface="out" units="per_second"/>
<variable initial_value="0.054" name="kappa_L2_0" units="per_second"/>
<variable initial_value="2.4" name="kappa_L2_1" units="per_second"/>
<variable name="Kd_Ca" units="mM"/>
<variable initial_value="3" name="n" units="dimensionless"/>
<variable initial_value="0.24" name="gamma" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="kappa_L1_calculation">
<eq/>
<ci>kappa_L1</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">0.000005</cn>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="second">0</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="second">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_second">0.00002</cn>
</otherwise>
</piecewise>
</apply>
<apply id="kappa_L2_calculation">
<eq/>
<ci>kappa_L2</ci>
<apply>
<plus/>
<ci>kappa_L2_0</ci>
<apply>
<divide/>
<ci>kappa_L2_1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Kd_Ca</ci>
<ci>Ca_i</ci>
</apply>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="Kd_Ca_calculation">
<eq/>
<ci>Kd_Ca</ci>
<piecewise>
<piece>
<cn cellml:units="mM">0.001</cn>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="second">0</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="second">80</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="mM" type="e-notation">5<sep/>-6</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>V_Ca</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ca_o</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply id="Ca_i_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>kappa_L1</ci>
<ci>kappa_P1</ci>
<apply>
<times/>
<ci>gamma</ci>
<apply>
<plus/>
<ci>kappa_L2</ci>
<ci>kappa_P2</ci>
</apply>
</apply>
</apply>
</apply>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<ci>kappa_L1</ci>
<ci>Ca_o</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="Ca_ion" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
</model>
