- Author:
- David Nickerson <david.nickerson@gmail.com>
- Date:
- 2021-09-16 00:41:19+12:00
- Desc:
- Updating Noble 1962 model:
* Exposing the membrane potential to the top-level model;
* adding SED-ML for the paced and pacemaker variants of the model.
Using OpenCOR Snapshot release 2021-09-14.
- Permanent Source URI:
- https://models.fieldml.org/workspace/a1/rawfile/f954e59183314cd37f86c8832dc81317d01c8ec5/models/1991_luo/fast_sodium_current_j_gate_model.xml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="fast_sodium_current_j_gate_model">
<component name="fast_sodium_current_j_gate">
<variable initial_value="j_initial" name="j" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="j_initial" public_interface="in" units="dimensionless"/>
<variable name="alpha_j" private_interface="out" public_interface="out" units="per_ms"/>
<variable name="beta_j" private_interface="out" public_interface="out" units="per_ms"/>
<variable name="V" private_interface="out" public_interface="in" units="mV"/>
<variable name="time" private_interface="out" public_interface="in" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="alpha_j_calculation_eq">
<apply id="alpha_j_calculation"><eq/>
<ci> alpha_j </ci>
<piecewise>
<piece>
<apply><times/>
<apply><minus/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV_ms"> -127140.0 </cn>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> 0.2444 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV_ms"> 0.00003474 </cn>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> -0.04391 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
<apply><divide/>
<apply><plus/>
<ci> V </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 37.78 </cn>
</apply>
<apply><plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> 0.311 </cn>
<apply><plus/>
<ci> V </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 79.23 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><lt/>
<ci> V </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.0 </cn>
</otherwise>
</piecewise>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="beta_j_calculation_eq">
<apply id="beta_j_calculation"><eq/>
<ci> beta_j </ci>
<piecewise>
<piece>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.1212 </cn>
<apply><divide/>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> -0.01052 </cn>
<ci> V </ci>
</apply>
</apply>
<apply><plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> -0.1378 </cn>
<apply><plus/>
<ci> V </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 40.14 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><lt/>
<ci> V </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.3 </cn>
<apply><divide/>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> -0.0000002535 </cn>
<ci> V </ci>
</apply>
</apply>
<apply><plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> -0.1 </cn>
<apply><plus/>
<ci> V </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 32.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="dj_dt_eq">
<apply id="dj_dt"><eq/>
<apply><diff/>
<bvar><ci> time </ci></bvar>
<ci> j </ci>
</apply>
<apply><minus/>
<apply><times/>
<ci> alpha_j </ci>
<apply><minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<ci> j </ci>
</apply>
</apply>
<apply><times/>
<ci> beta_j </ci>
<ci> j </ci>
</apply>
</apply>
</apply>
</math>
</component>
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="luo_rudy_I_model_1991_units_model.xml">
<units name="ms" units_ref="ms"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="mV" units_ref="mV"/>
<units name="per_mV" units_ref="per_mV"/>
<units name="per_mV_ms" units_ref="per_mV_ms"/>
<units name="mS_per_mm2" units_ref="mS_per_mm2"/>
<units name="uF_per_mm2" units_ref="uF_per_mm2"/>
<units name="uA_per_mm2" units_ref="uA_per_mm2"/>
<units name="concentration_units" units_ref="concentration_units"/>
<units name="gas_constant_units" units_ref="gas_constant_units"/>
<units name="faradays_constant_units" units_ref="faradays_constant_units"/>
</import>
</model>
