- 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/INaCa.xml
<?xml version="1.0" encoding="iso-8859-1"?>
<model
name="ten_tusscher_model_2004_INaCa"
cmeta:id="ten_tusscher_model_2004_INaCa"
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_INaCa">
<dc:title>
The Na/Ca exchanger 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 Na/Ca exchanger 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>sodium calcium exchanger 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="per_ms" units_ref="per_ms"/>
<units name="mV" units_ref="mV"/>
<units name="per_mV" units_ref="per_mV"/>
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="mM" units_ref="mM"/>
<units name="K" units_ref="K"/>
<units name="gas_constant" units_ref="gas_constant"/>
<units name="faradays_constant" units_ref="faradays_constant"/>
</import>
<component name="INaCa" cmeta:id="INaCa">
<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="#INaCa">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Here we calculate the sodium calcium exchanger current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="INaCa" public_interface="out" units="pA_per_pF"/>
<variable name="k_NaCa" public_interface="in" units="pA_per_pF"/>
<variable name="K_mNai" public_interface="in" units="mM"/>
<variable name="K_mCa" public_interface="in" units="mM"/>
<variable name="k_sat" public_interface="in" units="dimensionless"/>
<variable name="gamma" public_interface="in" units="dimensionless"/>
<variable name="alpha" public_interface="in" units="dimensionless"/>
<variable name="V" public_interface="in" units="mV"/>
<variable name="R" public_interface="in" units="gas_constant"/>
<variable name="T" public_interface="in" units="K"/>
<variable name="F" public_interface="in" units="faradays_constant"/>
<variable name="Nai" public_interface="in" units="mM"/>
<variable name="Nao" public_interface="in" units="mM"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="Cao" public_interface="in" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Na_Ca_exchanger"><eq/>
<ci>INaCa</ci>
<apply><times/>
<ci>k_NaCa</ci>
<apply><divide/>
<apply><minus/>
<apply><times/>
<apply><exp/>
<apply><divide/>
<apply><times/>
<ci>gamma</ci>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply><times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply><power/>
<ci>Nai</ci>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
<ci>Cao</ci>
</apply>
<apply><times/>
<apply><exp/>
<apply><divide/>
<apply><times/>
<apply><minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply><times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply><power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
<ci>Cai</ci>
<ci>alpha</ci>
</apply>
</apply>
<apply><times/>
<apply><plus/>
<apply><power/>
<ci>K_mNai</ci>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
<apply><power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
</apply>
<apply><plus/>
<ci>K_mCa</ci>
<ci>Cao</ci>
</apply>
<apply><plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply><times/>
<ci>k_sat</ci>
<apply><exp/>
<apply><divide/>
<apply><times/>
<apply><minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply><times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
</model>
