- Author:
- David Nickerson <david.nickerson@gmail.com>
- Date:
- 2021-09-16 01:07:43+12:00
- Desc:
- adding BR variant comparison to jupyter notebook
- Permanent Source URI:
- https://models.fieldml.org/workspace/a1/rawfile/faebb18f1db53a7d1f8f4e7fc588d660d45744c0/models/1991_luo/fast_sodium_current_h_gate_model.xml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="fast_sodium_current_h_gate_model">
<component name="fast_sodium_current_h_gate">
<variable initial_value="h_initial" name="h" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="h_initial" public_interface="in" units="dimensionless"/>
<variable name="alpha_h" private_interface="out" public_interface="out" units="per_ms"/>
<variable name="beta_h" 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_h_calculation_eq">
<apply id="alpha_h_calculation"><eq/>
<ci> alpha_h </ci>
<piecewise>
<piece>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.135 </cn>
<apply><exp/>
<apply><divide/>
<apply><minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> -80.0 </cn>
<ci> V </ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 6.8 </cn>
</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_h_calculation_eq">
<apply id="beta_h_calculation"><eq/>
<ci> beta_h </ci>
<piecewise>
<piece>
<apply><plus/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 3.56 </cn>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 0.079 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 310000.0 </cn>
<apply><exp/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV"> 0.35 </cn>
<ci> V </ci>
</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><divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="ms"> 0.13 </cn>
<apply><plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<apply><exp/>
<apply><divide/>
<apply><minus/>
<apply><plus/>
<ci> V </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 10.66 </cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 11.1 </cn>
</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="dh_dt_eq">
<apply id="dh_dt"><eq/>
<apply><diff/>
<bvar><ci> time </ci></bvar>
<ci> h </ci>
</apply>
<apply><minus/>
<apply><times/>
<ci> alpha_h </ci>
<apply><minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<ci> h </ci>
</apply>
</apply>
<apply><times/>
<ci> beta_h </ci>
<ci> h </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>
