Location: A review of cardiac cellular electrophysiology models @ f954e5918331 / models / 1998_fenton / fast_inward_current_v_gate_model.xml

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/fast_inward_current_v_gate_model.xml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="fast_inward_current_v_gate_model">
  <component name="fast_inward_current_v_gate">
    <variable initial_value="v_initial" name="v" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="v_initial" public_interface="in" units="dimensionless"/>
    <variable name="tau_v_minus" private_interface="out" public_interface="out" units="ms"/>
    <variable name="tau_v1_minus" private_interface="out" public_interface="in" units="ms"/>
    <variable name="tau_v2_minus" private_interface="out" public_interface="in" units="ms"/>
    <variable name="tau_v_plus" private_interface="out" public_interface="in" units="ms"/>
    <variable name="q" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="p" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="u" private_interface="out" public_interface="in" units="dimensionless"/>
    <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="dv_dt_eq">
      <apply id="dv_dt"><eq/>
        <apply><diff/>
          <bvar><ci> time </ci></bvar>
          <ci> v </ci>
        </apply>
        <apply><minus/>
          <apply><times/>
            <apply><minus/>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
              <ci> p </ci>
            </apply>
            <apply><divide/>
              <apply><minus/>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
                <ci> v </ci>
              </apply>
              <ci> tau_v_minus </ci>
            </apply>
          </apply>
          <apply><divide/>
            <apply><times/>
              <ci> p </ci>
              <ci> v </ci>
            </apply>
            <ci> tau_v_plus </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="tau_v_minus_calculation_eq">
      <apply id="tau_v_minus_calculation"><eq/>
        <ci> tau_v_minus </ci>
        <apply><plus/>
          <apply><times/>
            <ci> q </ci>
            <ci> tau_v1_minus </ci>
          </apply>
          <apply><times/>
            <apply><minus/>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
              <ci> q </ci>
            </apply>
            <ci> tau_v2_minus </ci>
          </apply>
        </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>