- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2016-03-17 21:16:01+13:00
- Desc:
- update first order ODE model to match tutorial description and add SED-ML for it.
- Permanent Source URI:
- http://models.cellml.org/workspace/25d/rawfile/60ac9389285471a704f2f4be6e1a8ba5cbf45d1a/potassium_ion_channel.cellml
<?xml version='1.0'?>
<model name="potassium_ion_channel" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/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>
<units name="mM">
<unit prefix="milli" units="mole"/>
</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>
<apply>
<minus/>
<cn cellml:units="millivolt">85.0</cn>
</apply>
<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>
<cn cellml:units="millivolt">0.0</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="potassium_channel">
<component_ref component="potassium_channel_n_gate"/>
</component_ref>
</group>
<component cmeta:id="id_000000001" name="potassium_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="n" private_interface="in" units="dimensionless"/>
<variable name="i_K" public_interface="out" units="microA_per_cm2"/>
<variable initial_value="36" name="g_K" units="milliS_per_cm2"/>
<variable cmeta:id="id_000000002" initial_value="90" name="Ki" units="mM"/>
<variable cmeta:id="id_000000003" initial_value="3" name="Ko" units="mM"/>
<variable initial_value="25" name="RTF" units="millivolt"/>
<variable name="E_K" units="millivolt"/>
<variable name="K_conductance" public_interface="out" units="milliS_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_K</ci>
<apply>
<times/>
<ci>RTF</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ko</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_conductance</ci>
<apply>
<times/>
<ci>g_K</ci>
<apply>
<power/>
<ci>n</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K</ci>
<apply>
<times/>
<ci>K_conductance</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="potassium_channel_n_gate">
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="t" public_interface="in" units="millisec"/>
<variable initial_value="0.325" name="n" public_interface="out" units="dimensionless"/>
<variable name="alpha_n" units="per_millisec"/>
<variable name="beta_n" units="per_millisec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_n</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisec">0.01</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_n</ci>
<apply>
<times/>
<cn cellml:units="per_millisec">0.125</cn>
<apply>
<exp/>
<apply>
<divide/>
<ci>V</ci>
<cn cellml:units="millivolt">80</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>n</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_n</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>n</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_n</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="potassium_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
<connection>
<map_components component_1="potassium_channel" component_2="potassium_channel_n_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="n" variable_2="n"/>
</connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#id_000000001">
<isVersionOf xmlns="http://biomodels.net/biology-qualifiers/">
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="http://identifiers.org/go/GO:0008076"/>
</isVersionOf>
</rdf:Description>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#id_000000002">
<isVersionOf xmlns="http://biomodels.net/biology-qualifiers/">
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="http://identifiers.org/chebi/CHEBI:29103"/>
</isVersionOf>
</rdf:Description>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#id_000000003">
<isVersionOf xmlns="http://biomodels.net/biology-qualifiers/">
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="http://identifiers.org/chebi/CHEBI:29103"/>
</isVersionOf>
</rdf:Description>
</rdf:RDF>
</model>
