Location: VPH-MIP case study on CellML @ 58e44de10bed / components / INa-gating-rates.xml

Author:
David Nickerson <nickerso@users.sourceforge.net>
Date:
2012-10-05 15:20:03+13:00
Desc:
updating documentation to better reflect the VPH-MIP slides and mention how to reproduce the simulation results; adding plot of gating variables added to the SED-ML
Permanent Source URI:
http://models.cellml.org/w/andre/VPH-MIP/rawfile/58e44de10bed7fbc87fd1d437f3001c7b653a738/components/INa-gating-rates.xml

<?xml version="1.0" encoding="iso-8859-1"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink" name="INa_gating_rates">
  
  <import xlink:href="units.xml">
    <units name="ms" units_ref="ms"/>
    <units name="mV" units_ref="mV"/>
    <units name="per_ms" units_ref="per_ms"/>
    <units name="per_ms_mV" units_ref="per_ms_mV"/>
  </import>
  <component name="alpha_m">
    <variable name="alpha" public_interface="out" private_interface="out" units="per_ms"/>
    <variable name="V" public_interface="in" private_interface="out" units="mV"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="alpha_m_calculation"><eq/>
        <ci>alpha</ci>
        <apply><divide/>
          <apply><times/>
            <cn cellml:units="per_ms_mV">0.1</cn>
            <apply><plus/>
              <ci>V</ci>
              <cn cellml:units="mV">25.0</cn>
            </apply>
          </apply>
          <apply><minus/>
            <apply><exp/>
              <apply><divide/>
                <apply><plus/>
                  <ci>V</ci>
                  <cn cellml:units="mV">25.0</cn>
                </apply>
                <cn cellml:units="mV">10.0</cn>
              </apply>
            </apply>
            <cn cellml:units="dimensionless">1.0</cn>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="beta_m">
    <variable name="beta" public_interface="out" private_interface="out" units="per_ms"/>
    <variable name="V" public_interface="in" private_interface="out" units="mV"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="beta_m_calculation"><eq/>
        <ci>beta</ci>
        <apply><times/>
          <cn cellml:units="per_ms">4.0</cn>
          <apply><exp/>
            <apply><divide/>
              <ci>V</ci>
              <cn cellml:units="mV">18.0</cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="alpha_h">
    <variable name="alpha" public_interface="out" private_interface="out" units="per_ms"/>
    <variable name="V" public_interface="in" private_interface="out" units="mV"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="alpha_h_calculation"><eq/>
        <ci>alpha</ci>
        <apply><times/>
          <cn cellml:units="per_ms">0.07</cn>
          <apply><exp/>
            <apply><divide/>
              <ci>V</ci>
              <cn cellml:units="mV">20.0</cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="beta_h">
    <variable name="beta" public_interface="out" private_interface="out" units="per_ms"/>
    <variable name="V" public_interface="in" private_interface="out" units="mV"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="beta_h_calculation"><eq/>
        <ci>beta</ci>
        <apply><divide/>
          <cn cellml:units="per_ms">1.0</cn>
          <apply><plus/>
            <apply><exp/>
              <apply><divide/>
                <apply><plus/>
                  <ci>V</ci>
                  <cn cellml:units="mV">30.0</cn>
                </apply>
                <cn cellml:units="mV">10.0</cn>
              </apply>
            </apply>
            <cn cellml:units="dimensionless">1.0</cn>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
</model>