Location: A review of cardiac cellular electrophysiology models @ f6a8f9030738 / models / 1991_luo / slow_inward_current_f_gate_model.xml

Author:

David Nickerson <nickerso@users.sourceforge.net>

Date:

2009-07-16 02:00:03+12:00

Desc:

the starting point for the HH tutorial example

Permanent Source URI:

https://models.fieldml.org/workspace/a1/rawfile/f6a8f90307388eb4b040ee3566b84d88b59247f7/models/1991_luo/slow_inward_current_f_gate_model.xml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="slow_inward_current_f_gate_model">
  <component name="slow_inward_current_f_gate">
    <variable initial_value="f_initial" name="f" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="f_initial" public_interface="in" units="dimensionless"/>
    <variable name="alpha_f" private_interface="out" public_interface="out" units="per_ms"/>
    <variable name="beta_f" 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"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="alpha_f_calculation_eq">
      <apply id="alpha_f_calculation"><eq/>
        <ci> alpha_f </ci>
        <apply><divide/>
          <apply><times/>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.012 </cn>
            <apply><exp/>
              <apply><times/>
                <apply><minus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 0.008 </cn>
                </apply>
                <apply><plus/>
                  <ci> V </ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 28.0 </cn>
                </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="dimensionless"> 0.15 </cn>
                <apply><plus/>
                  <ci> V </ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 28.0 </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_f_calculation_eq">
      <apply id="beta_f_calculation"><eq/>
        <ci> beta_f </ci>
        <apply><divide/>
          <apply><times/>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.0065 </cn>
            <apply><exp/>
              <apply><times/>
                <apply><minus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 0.02 </cn>
                </apply>
                <apply><plus/>
                  <ci> V </ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 30.0 </cn>
                </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/>
                <apply><minus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 0.2 </cn>
                </apply>
                <apply><plus/>
                  <ci> V </ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 30.0 </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="df_dt_eq">
      <apply id="df_dt"><eq/>
        <apply><diff/>
          <bvar><ci> time </ci></bvar>
          <ci> f </ci>
        </apply>
        <apply><minus/>
          <apply><times/>
            <ci> alpha_f </ci>
            <apply><minus/>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
              <ci> f </ci>
            </apply>
          </apply>
          <apply><times/>
            <ci> beta_f </ci>
            <ci> f </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>