Location: A review of cardiac cellular electrophysiology models @ 1b3862589abf / models / 1991_luo / time_independent_potassium_current_K1_gate_model.xml

Author:
David Nickerson <david.nickerson@gmail.com>
Date:
2021-09-17 15:50:49+12:00
Desc:
tweak html formatting
Permanent Source URI:
https://models.cellml.org/workspace/a1/rawfile/1b3862589abf79ae9119ee0b5e99a8b785d762e1/models/1991_luo/time_independent_potassium_current_K1_gate_model.xml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="time_independent_potassium_current_K1_gate_model">
  <component name="time_independent_potassium_current_K1_gate">
    <variable name="K1_infinity" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="alpha_K1" private_interface="out" public_interface="out" units="per_ms"/>
    <variable name="beta_K1" 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"/>
    <variable name="E_K1" private_interface="out" public_interface="in" units="mV"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="alpha_K1_calculation_eq">
      <apply id="alpha_K1_calculation"><eq/>
        <ci> alpha_K1 </ci>
        <apply><divide/>
          <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 1.02 </cn>
          <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"> 0.2385 </cn>
                <apply><minus/>
                  <apply><minus/>
                    <ci> V </ci>
                    <ci> E_K1 </ci>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 59.215 </cn>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="beta_K1_calculation_eq">
      <apply id="beta_K1_calculation"><eq/>
        <ci> beta_K1 </ci>
        <apply><divide/>
          <apply><plus/>
            <apply><times/>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.49124 </cn>
              <apply><exp/>
                <apply><times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 0.08032 </cn>
                  <apply><minus/>
                    <apply><plus/>
                      <ci> V </ci>
                      <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 5.476 </cn>
                    </apply>
                    <ci> E_K1 </ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply><exp/>
              <apply><times/>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.06175 </cn>
                <apply><minus/>
                  <ci> V </ci>
                  <apply><plus/>
                    <ci> E_K1 </ci>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 594.31 </cn>
                  </apply>
                </apply>
              </apply>
            </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"> -0.5143 </cn>
                <apply><plus/>
                  <apply><minus/>
                    <ci> V </ci>
                    <ci> E_K1 </ci>
                  </apply>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 4.753 </cn>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="K1_infinity_calculation_eq">
      <apply id="K1_infinity_calculation"><eq/>
        <ci> K1_infinity </ci>
        <apply><divide/>
          <ci> alpha_K1 </ci>
          <apply><plus/>
            <ci> alpha_K1 </ci>
            <ci> beta_K1 </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>