- 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/1998_fenton/membrane_model.xml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="membrane_model" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" >
<component name="membrane">
<variable name="u" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="Cm" private_interface="out" public_interface="in" units="uF_per_mm2"/>
<variable initial_value="Vm_initial" name="Vm" cmeta:id="Vm" private_interface="out" public_interface="out" units="mV"/>
<variable name="Vm_initial" public_interface="in" units="mV"/>
<variable name="V_o" private_interface="out" public_interface="in" units="mV"/>
<variable name="V_fi" private_interface="out" public_interface="in" units="mV"/>
<variable name="I_stim" private_interface="out" public_interface="in" units="uA_per_mm2"/>
<variable name="I_fi" private_interface="out" public_interface="out" units="uA_per_mm2"/>
<variable name="I_si" private_interface="out" public_interface="out" units="uA_per_mm2"/>
<variable name="I_so" private_interface="out" public_interface="out" units="uA_per_mm2"/>
<variable name="time" private_interface="out" public_interface="in" units="ms"/>
<variable name="J_fi" private_interface="out" public_interface="in" units="per_ms"/>
<variable name="J_so" private_interface="out" public_interface="in" units="per_ms"/>
<variable name="J_si" private_interface="out" public_interface="in" units="per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="I_fi_calculation_eq">
<apply id="I_fi_calculation"><eq/>
<ci>I_fi</ci>
<apply><times/>
<ci>J_fi</ci>
<ci>Cm</ci>
<apply><minus/>
<ci>V_fi</ci>
<ci>V_o</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="I_si_calculation_eq">
<apply id="I_si_calculation_eq"><eq/>
<ci>I_si</ci>
<apply><times/>
<ci>J_si</ci>
<ci>Cm</ci>
<apply><minus/>
<ci>V_fi</ci>
<ci>V_o</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="I_so_calculation_eq">
<apply id="I_so_calculation"><eq/>
<ci>I_so</ci>
<apply><times/>
<ci>J_so</ci>
<ci>Cm</ci>
<apply><minus/>
<ci>V_fi</ci>
<ci>V_o</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="u_calculation_eq">
<apply id="u_calculation"><eq/>
<ci>u</ci>
<apply><divide/>
<apply><minus/>
<ci>Vm</ci>
<ci>V_o</ci>
</apply>
<apply><minus/>
<ci>V_fi</ci>
<ci>V_o</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="Vm_calculation_eq">
<apply id="Vm_calculation"><eq/>
<apply><diff/>
<bvar><ci> time </ci></bvar>
<ci> Vm </ci>
</apply>
<apply><divide/>
<apply><minus/>
<ci> I_stim </ci>
<apply><plus/>
<ci> I_fi </ci>
<ci> I_si </ci>
<ci> I_so </ci>
</apply>
</apply>
<ci> Cm </ci>
</apply>
</apply>
</math>
</component>
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fenton_karma_model_1998_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"/>
</import>
</model>
