- 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/Ki.xml
<?xml version="1.0" encoding="iso-8859-1"?>
<model
name="ten_tusscher_model_2004_Ki"
cmeta:id="ten_tusscher_model_2004_Ki"
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>2004-12-30</dcterms:W3CDTF>
</dcterms:created>
<dc:publisher>
Bioengineering Institute, The University of Auckland
</dc:publisher>
</rdf:Description>
<rdf:Description rdf:about="#ten_tusscher_model_2004_Ki">
<dc:title>
The intracellular potassium dynamics 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 intracellular potassium
dynamics 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>intacellular potassium</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="mV" units_ref="mV"/>
<units name="mM" units_ref="mM"/>
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="mM_per_ms" units_ref="mM_per_ms"/>
<units name="per_mm" units_ref="per_mm"/>
<units name="uF_per_cmsq" units_ref="uF_per_cmsq"/>
<units name="umcu" units_ref="umcu"/>
<units name="nS_per_pF" units_ref="nS_per_pF"/>
<units name="K" units_ref="K"/>
<units name="cmcu_per_uF_per_s" units_ref="cmcu_per_uF_per_s"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="mM_per_s" units_ref="mM_per_s"/>
<units name="faradays_constant" units_ref="faradays_constant"/>
</import>
<component name="potassium_dynamics" cmeta:id="potassium_dynamics">
<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="#potassium_dynamics">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The intracellular potassium dynamics.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="Ki" initial_value="Ki_initial" public_interface="out" units="mM"/>
<variable name="Ki_initial" public_interface="in" units="mM"/>
<variable name="vC" public_interface="in" units="umcu"/>
<variable name="Am" public_interface="in" units="per_mm"/>
<variable name="F" public_interface="in" units="faradays_constant"/>
<variable name="IK1" public_interface="in" units="pA_per_pF"/>
<variable name="Ito" public_interface="in" units="pA_per_pF"/>
<variable name="IKr" public_interface="in" units="pA_per_pF"/>
<variable name="IKs" public_interface="in" units="pA_per_pF"/>
<variable name="INaK" public_interface="in" units="pA_per_pF"/>
<variable name="IpK" public_interface="in" units="pA_per_pF"/>
<variable name="Istim" public_interface="in" units="pA_per_pF"/>
<variable name="time" public_interface="in" units="ms"/>
<variable name="Capacitance" public_interface="in" units="uF_per_cmsq"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Ki_total_diff"><eq />
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci> Ki </ci>
</apply>
<apply><minus/>
<apply><times/>
<ci>Capacitance</ci>
<apply><divide />
<apply><minus/>
<apply><plus />
<ci> IK1 </ci>
<ci> Ito </ci>
<ci> IKr </ci>
<ci> IKs </ci>
<ci> IpK </ci>
</apply>
<apply><plus/>
<apply><times />
<ci> INaK </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<ci>Istim</ci>
</apply>
</apply>
<apply><times />
<ci> vC </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
</model>
