- 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_LA_model/generic_LA.cellml
<?xml version='1.0'?>
<!--Author: Amr Al Abed
Date: 12/02/2016
Generic ionic model based on the formulation of Al Abed et al 2013 for a left atrial cell-->
<!--metadata-->
<model name="LA_generic_model" cmeta:id="LA_generic_model" 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="#LA_generic_model">
<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>left atrium</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
<!-- import components-->
<import xlink:href="outward_generic_current">
<component component_ref="outward_generic_channel" name="i1_current"/>
</import>
<import xlink:href="inward_generic_current">
<component component_ref="inward_generic_channel" name="i2_current"/>
</import>
<import xlink:href="leakage_current">
<component component_ref="leakage_channel" name="L_current"/>
</import>
<!--Define units-->
<units name="millisec">
<unit prefix="milli" units="second"/>
</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="microF_per_cm2">
<unit prefix="micro" units="farad"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<!--Define encapsulation for ionic current-->
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="membrane">
<component_ref component="i1_current"/>
<component_ref component="i2_current"/>
<component_ref component="L_current"/>
</component_ref>
</group>
<!--Define simulation environment-->
<component name="environment">
<variable initial_value="-80.75" name="V" public_interface="out" units="millivolt"/>
<variable name="t" public_interface="out" units="millisec"/>
</component>
<!--Mapping variables-->
<connection>
<map_components component_1="environment" component_2="membrane"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i1_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="i_1" variable_2="i_1"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i2_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="i_2" variable_2="i_2"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="L_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_L" variable_2="i_L"/>
</connection>
<!--Define membrane equation -->
<component name="membrane">
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="t" private_interface="out" public_interface="in" units="second"/>
<variable name="i_1" private_interface="in" public_interface="out" units="nanoA_per_cm2"/>
<variable name="i_2" private_interface="in" public_interface="out" units="nanoA_per_cm2"/>
<variable name="i_L" private_interface="in" public_interface="out" units="nanoA_per_cm2"/>
<variable initial_value="1" name="Cm" units="microF_per_cm2"/>
<variable name="i_Stim" units="nanoA_per_cm2"/>
<variable name="i_Tot" units="nanoA_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Stim</ci>
<piecewise>
<piece>
<apply>
<minus/>
<cn cellml:units="microA_per_cm2">10000</cn>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>t</ci>
<cn cellml:units="second">0.1</cn>
</apply>
<apply>
<leq/>
<ci>t</ci>
<cn cellml:units="second">0.102</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="microA_per_cm2">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>i_Tot</ci>
<apply>
<plus/>
<ci>i_Stim</ci>
<ci>i_1</ci>
<ci>i_2</ci>
<ci>i_L</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>i_Tot</ci>
</apply>
<ci>Cm</ci>
</apply>
</apply>
</math>
</component>
</model>
