- Author:
- David Nickerson <david.nickerson@gmail.com>
- Date:
- 2021-09-16 00:41:19+12:00
- Desc:
- Updating Noble 1962 model:
* Exposing the membrane potential to the top-level model;
* adding SED-ML for the paced and pacemaker variants of the model.
Using OpenCOR Snapshot release 2021-09-14.
- Permanent Source URI:
- https://models.fieldml.org/workspace/a1/rawfile/f954e59183314cd37f86c8832dc81317d01c8ec5/models/2004_tenTusscher/components/IKs.xml
<?xml version="1.0" encoding="iso-8859-1"?>
<model
name="ten_tusscher_model_2004_IKs"
cmeta:id="ten_tusscher_model_2004_IKs"
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#"
xmlns:xlink="http://www.w3.org/1999/xlink">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
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="">
<dc:creator rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Nickerson</vCard:Family>
<vCard:Given>David</vCard:Given>
</vCard:N>
<vCard:EMAIL rdf:parseType="Resource">
<rdf:value>d.nickerson@auckland.ac.nz</rdf:value>
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
</vCard:EMAIL>
<vCard:ORG rdf:parseType="Resource">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>Bioengineering Institute</vCard:Orgunit>
</vCard:ORG>
</dc:creator>
<dcterms:created rdf:parseType="Resource">
<dcterms:W3CDTF>2004-12-27</dcterms:W3CDTF>
</dcterms:created>
<dc:publisher>
Bioengineering Institute, The University of Auckland
</dc:publisher>
</rdf:Description>
<rdf:Description rdf:about="#ten_tusscher_model_2004_IKs">
<dc:title>
The slow delayed rectifier current from the ten Tusscher et al.
2004 human ventricular AP model.
</dc:title>
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
This is the CellML description of the slow delayed rectifier current
from the ten Tusscher et al. 2004 mathematical model of human
ventricular cellular action potential.
</rdf:value>
<dc:creator rdf:parseType="Resource">
<vCard:FN>David Nickerson</vCard:FN>
</dc:creator>
</cmeta:comment>
<cmeta:species>Homo sapiens</cmeta:species>
<cmeta:bio_entity>Ventricular Myocyte</cmeta:bio_entity>
<bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>Ventricular Myocyte</rdf:li>
<rdf:li>cardiac</rdf:li>
<rdf:li>electrophysiology</rdf:li>
<rdf:li>slow delayed rectifier current</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
<bqs:reference rdf:parseType="Resource">
<bqs:Pubmed_id>14656705</bqs:Pubmed_id>
<bqs:JournalArticle rdf:parseType="Resource">
<dc:creator>
<rdf:Seq>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>ten Tusscher</vCard:Family>
<vCard:Given>K</vCard:Given>
<vCard:Other>H</vCard:Other>
<vCard:Other>W</vCard:Other>
<vCard:Other>J</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Noble</vCard:Family>
<vCard:Given>D</vCard:Given>
</vCard:N>
</bqs:Person>
</rdf:li>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Noble</vCard:Family>
<vCard:Given>P</vCard:Given>
<vCard:Other>J</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Panfilov</vCard:Family>
<vCard:Given>A</vCard:Given>
<vCard:Other>V</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
</rdf:Seq>
</dc:creator>
<dc:title>
A model for human ventricular tissue
</dc:title>
<dcterms:issued rdf:parseType="Resource">
<dcterms:W3CDTF>2004-04</dcterms:W3CDTF>
</dcterms:issued>
<bqs:Journal rdf:parseType="Resource">
<dc:title>American Journal of Physiology</dc:title>
</bqs:Journal>
<bqs:volume>286</bqs:volume>
<bqs:first_page>H1573</bqs:first_page>
<bqs:last_page>H1589</bqs:last_page>
</bqs:JournalArticle>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
<import xlink:href="../../common/units.xml">
<units name="ms" units_ref="ms"/>
<units name="mscu" units_ref="mscu"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="mV" units_ref="mV"/>
<units name="per_mV" units_ref="per_mV"/>
<units name="nS_per_pF" units_ref="nS_per_pF"/>
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="per_mV_per_ms" units_ref="per_mV_per_ms"/>
</import>
<component name="IKs" cmeta:id="IKs">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#IKs">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Here we calculate the slow delayed rectifier current. We expect
the time, membrane potential, reversal potential and conductance
to be set externally, and we provide access to the gating
variables and the calculated current. This component encapsulates
all others in this model.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="IKs" public_interface="out" units="pA_per_pF"/>
<variable name="g_Ks" public_interface="in" units="nS_per_pF"/>
<variable name="time" public_interface="in" private_interface="out" units="ms"/>
<variable name="V" public_interface="in" private_interface="out" units="mV"/>
<variable name="E_Ks" public_interface="in" units="mV"/>
<variable name="Xs" public_interface="out" private_interface="in" units="dimensionless"/>
<variable name="Xs_initial" public_interface="in" private_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Ks_calculation"><eq/>
<ci>IKs</ci>
<apply><times/>
<ci>g_Ks</ci>
<apply><power/>
<ci>Xs</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<apply><minus/>
<ci>V</ci>
<ci>E_Ks</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Xs_gate" cmeta:id="Xs_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#Xs_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The activation gating kinetics for the IKs current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="Xs" initial_value="Xs_initial" public_interface="out" units="dimensionless"/>
<variable name="Xs_initial" public_interface="in" units="dimensionless"/>
<variable name="alpha_Xs" units="per_ms"/>
<variable name="beta_Xs" units="per_ms"/>
<variable name="Xs_infinity" units="dimensionless"/>
<variable name="tau_Xs" units="ms"/>
<variable name="V" public_interface="in" units="mV"/>
<variable name="time" public_interface="in" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Xs_diff_eq"><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>Xs</ci>
</apply>
<apply><divide/>
<apply><minus/>
<ci>Xs_infinity</ci>
<ci>Xs</ci>
</apply>
<ci>tau_Xs</ci>
</apply>
</apply>
<apply id="Xs_infinity_calculation"><eq/>
<ci>Xs_infinity</ci>
<apply><divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply><plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply><exp/>
<apply><divide/>
<apply><minus/>
<cn cellml:units="mV">-5.0</cn>
<ci>V</ci>
</apply>
<cn cellml:units="mV">14.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="alpha_Xs_calculation"><eq/>
<ci>alpha_Xs</ci>
<apply><divide/>
<cn cellml:units="per_ms">1100</cn>
<apply><root/>
<apply><plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply><exp/>
<apply><divide/>
<apply><minus/>
<cn cellml:units="mV">-10.0</cn>
<ci>V</ci>
</apply>
<cn cellml:units="mV">6.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_Xs_calculation"><eq/>
<ci>beta_Xs</ci>
<apply><divide/>
<cn cellml:units="per_ms">1.0</cn>
<apply><plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply><exp/>
<apply><divide/>
<apply><minus/>
<ci>V</ci>
<cn cellml:units="mV">60.0</cn>
</apply>
<cn cellml:units="mV">20.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_Xs_calculation"><eq/>
<ci>tau_Xs</ci>
<apply><times/>
<cn cellml:units="mscu">1.0</cn>
<ci>alpha_Xs</ci>
<ci>beta_Xs</ci>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="IKs">
<component_ref component="Xs_gate"/>
</component_ref>
</group>
<connection>
<map_components component_1="IKs" component_2="Xs_gate"/>
<map_variables variable_1="Xs" variable_2="Xs"/>
<map_variables variable_1="Xs_initial" variable_2="Xs_initial"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
</model>
