- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2015-08-20 17:56:47+12:00
- Desc:
- adding initial set of model files from Peter
- Permanent Source URI:
- http://models.cellml.org/workspace/25d/rawfile/2524c34af1ecae85d78e46a6c9103082b3ef0da3/sodium_ion_channel.cellml
<?xml version='1.0'?>
<model name="sodium_ion_channel" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
<units name="millisec">
<unit prefix="milli" units="second"/>
</units>
<units name="per_millisec">
<unit exponent="-1" prefix="milli" units="second"/>
</units>
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="per_millivolt">
<unit exponent="-1" units="millivolt"/>
</units>
<units name="per_millivolt_millisec">
<unit units="per_millivolt"/>
<unit units="per_millisec"/>
</units>
<units name="microA_per_cm2">
<unit prefix="micro" units="ampere"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="milliS_per_cm2">
<unit prefix="milli" units="siemens"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<component name="environment">
<variable name="V" public_interface="out" units="millivolt"/>
<variable name="t" public_interface="out" units="millisec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V</ci>
<piecewise>
<piece>
<cn cellml:units="millivolt">0.0</cn>
<apply>
<and/>
<apply>
<gt/>
<ci>t</ci>
<cn cellml:units="millisec">5</cn>
</apply>
<apply>
<lt/>
<ci>t</ci>
<cn cellml:units="millisec">15</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<minus/>
<cn cellml:units="millivolt">85.0</cn>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="sodium_channel">
<component_ref component="sodium_channel_m_gate"/>
<component_ref component="sodium_channel_h_gate"/>
</component_ref>
</group>
<component name="sodium_channel">
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="t" private_interface="out" public_interface="in" units="millisec"/>
<variable name="m" private_interface="in" units="dimensionless"/>
<variable name="h" private_interface="in" units="dimensionless"/>
<variable initial_value="120" name="g_Na" units="milliS_per_cm2"/>
<variable initial_value="35" name="E_Na" units="millivolt"/>
<variable name="Na_conductance" public_interface="out" units="milliS_per_cm2"/>
<variable name="i_Na" public_interface="out" units="microA_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Na_conductance</ci>
<apply>
<times/>
<ci>g_Na</ci>
<apply>
<power/>
<ci>m</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Na</ci>
<apply>
<times/>
<ci>Na_conductance</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_channel_m_gate">
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="t" public_interface="in" units="millisec"/>
<variable name="alpha_m" units="per_millisec"/>
<variable name="beta_m" units="per_millisec"/>
<variable initial_value="0.05" name="m" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_m</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt_millisec">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<times/>
<cn cellml:units="per_millisec">4</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">75</cn>
</apply>
</apply>
<cn cellml:units="millivolt">18</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>m</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_m</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>m</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_m</ci>
<ci>m</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_channel_h_gate">
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="t" public_interface="in" units="millisec"/>
<variable name="alpha_h" units="per_millisec"/>
<variable name="beta_h" units="per_millisec"/>
<variable initial_value="0.6" name="h" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_h</ci>
<apply>
<times/>
<cn cellml:units="per_millisec">0.07</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">75</cn>
</apply>
</apply>
<cn cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_h</ci>
<apply>
<divide/>
<cn cellml:units="per_millisec">1</cn>
<apply>
<plus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">45</cn>
</apply>
</apply>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>h</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_h</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_h</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="sodium_channel" component_2="environment"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
<connection>
<map_components component_1="sodium_channel" component_2="sodium_channel_m_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="m" variable_2="m"/>
</connection>
<connection>
<map_components component_1="sodium_channel" component_2="sodium_channel_h_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="h" variable_2="h"/>
</connection>
</model>
