- Author:
- Amr Al Abed <amra@unsw.edu.au>
- Date:
- 2017-06-16 22:07:22+10:00
- Desc:
- Converted encoding to UTF-8
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/28b/rawfile/2105a486f14159db17520e1830b3a2e1d3ad2acf/AlAbed_2013_RA_model/outward_generic_current.cellml
<?xml version='1.0'?>
<!--Author: Amr Al Abed
Date: 12/02/2016
Outward generic ionic current based on the (i1) formulation of Al Abed et al 2013 for a right atrial cell-->
<!--metadata-->
<model name="outward_generic_current" cmeta:id="outward_generic_current" 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#">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">
<rdf:Description rdf:about="#outward_generic_current">
<bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>electrophysiology</rdf:li>
<rdf:li>cardiac</rdf:li>
<rdf:li>cardiac electrophysiology</rdf:li>
<rdf:li>pacemaker</rdf:li>
<rdf:li>right atrium</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
<!--Define units-->
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="nanoA_per_cm2">
<unit prefix="nano" units="ampere"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="microS_per_cm2">
<unit prefix="micro" units="siemens"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="per_sec">
<unit exponent="-1" units="second"/>
</units>
<units name="per_millivolt">
<unit exponent="-1" units="millivolt"/>
</units>
<units name="millisec">
<unit prefix="milli" units="second"/>
</units>
<component name="environment">
<variable name="V" public_interface="out" units="millivolt"/>
<variable name="t" public_interface="out" units="millisec"/>
</component>
<!--Define encapsulation of p1 and q1 gates-->
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="outward_generic_channel">
<component_ref component="outward_generic_channel_p1_gate"/>
<component_ref component="outward_generic_channel_q1_gate"/>
</component_ref>
</group>
<!--Define component 'outward generic channel' -->
<component name="outward_generic_channel">
<!--Define units and initial conditions for variables-->
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="t" private_interface="out" public_interface="in" units="second"/>
<variable name="p_1" private_interface="in" units="dimensionless"/>
<variable name="q_1" private_interface="in" units="dimensionless"/>
<variable name="i_1" public_interface="out" units="nanoA_per_cm2"/>
<variable initial_value="332.25" name="g_1" units="microS_per_cm2"/>
<variable initial_value="-86.46" name="E_1" units="millivolt"/>
<variable name="i1_conductance" public_interface="out" units="microS_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i1_conductance</ci>
<apply>
<times/>
<ci>g_1</ci>
<ci>p_1</ci>
<ci>q_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_1</ci>
<apply>
<times/>
<ci>i1_conductance</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!--Define component ‘outward generic channel p1 gate’-->
<component name="outward_generic_channel_p1_gate">
<!--Define units and initial conditions for variables-->
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="t" public_interface="in" units="second"/>
<variable initial_value="0.85" name="p_1" public_interface="out" units="dimensionless"/>
<variable name="alpha_p1" units="per_sec"/>
<variable name="beta_p1" units="per_sec"/>
<variable initial_value="2008.02" name="k_alphaP1" units="per_sec"/>
<variable initial_value="-0.158" name="s_alphaP1" units="per_millivolt"/>
<variable initial_value="75.02" name="k_betaP1" units="per_sec"/>
<variable initial_value="0.0" name="s_betaP1" units="per_millivolt"/>
<variable initial_value="-63.97" name="E50_p1" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_p1</ci>
<apply>
<divide/>
<ci>k_alphaP1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_alphaP1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_p1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_p1</ci>
<apply>
<divide/>
<ci>k_betaP1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_betaP1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_p1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>p_1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_p1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>p_1</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_p1</ci>
<ci>p_1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!--Define component ‘outward generic channel q1 gate’-->
<component name="outward_generic_channel_q1_gate">
<!--Define units and initial conditions for variables-->
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="t" public_interface="in" units="second"/>
<variable initial_value="0.5" name="q_1" public_interface="out" units="dimensionless"/>
<variable name="alpha_q1" units="per_sec"/>
<variable name="beta_q1" units="per_sec"/>
<variable initial_value="198.22" name="k_alphaQ1" units="per_sec"/>
<variable initial_value="0.0" name="s_alphaQ1" units="per_millivolt"/>
<variable initial_value="293.23" name="k_betaQ1" units="per_sec"/>
<variable initial_value="0.17" name="s_betaQ1" units="per_millivolt"/>
<variable initial_value="-0.83" name="E50_q1" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_q1</ci>
<apply>
<divide/>
<ci>k_alphaQ1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_alphaQ1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_q1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_q1</ci>
<apply>
<divide/>
<ci>k_betaQ1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_betaQ1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_q1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_q1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>q_1</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_q1</ci>
<ci>q_1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="outward_generic_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
<connection>
<map_components component_1="outward_generic_channel" component_2="outward_generic_channel_p1_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="p_1" variable_2="p_1"/>
</connection>
<connection>
<map_components component_1="outward_generic_channel" component_2="outward_generic_channel_q1_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_1" variable_2="q_1"/>
</connection>
</model>
