Location: A review of cardiac cellular electrophysiology models @ 53b070ec6d82 / models / 1998_fenton / membrane_model.xml

Author:
David Nickerson <david.nickerson@gmail.com>
Date:
2021-09-16 22:03:57+12:00
Desc:
Updating Luo & Rudy 1991 model: * exposing membrane potential and time variables at top-level; * adding SED-ML for each of the [K]o simulations. Using OpenCOR snapshot release 2021-09-14
Permanent Source URI:
https://models.physiomeproject.org/workspace/a1/rawfile/53b070ec6d825b9a6fa4b0befe9199efe2e32de6/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>