<?xml version="1.0" encoding="iso-8859-1"?>

<model
    name="TNNP_extended_I_K_ATP"
    cmeta:id="TNNP_extended_I_K_ATP"
    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>david.nickerson@nus.edu.sg</rdf:value>
          <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
        </vCard:EMAIL>
        <vCard:ORG rdf:parseType="Resource">
          <vCard:Orgname>National University of Singapore</vCard:Orgname>
          <vCard:Orgunit>Division of Bioengineering</vCard:Orgunit>
        </vCard:ORG>
      </dc:creator>
      <dcterms:created rdf:parseType="Resource">
        <dcterms:W3CDTF>2006-10-13</dcterms:W3CDTF>
      </dcterms:created>
      <dc:publisher>
        Division of Bioengineering, National University of Singapore
      </dc:publisher>
    </rdf:Description>
    <rdf:Description rdf:about="#TNNP_extended_I_K_ATP">
      <dc:title>
        Various formulations for the K_ATP current.
      </dc:title>
    </rdf:Description>
  </rdf:RDF>
  
  <import xlink:href="../../../../cellml/models/common/units.xml">
    <units name="mV" units_ref="mV"/>
    <units name="mM" units_ref="mM"/>
    <units name="uA_per_mmsq" units_ref="uA_per_mmsq"/>
    <units name="mS_per_mmsq" units_ref="mS_per_mmsq"/>
  </import>
  
  <component name="I_K_ATP_Shaw" cmeta:id="I_K_ATP_Shaw">
    <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="#I_K_ATP_Shaw">
        <dc:title>
          Shaw and Rudy (1997) I_K_ATP formulation.
        </dc:title>
        <cmeta:species>guinea pig</cmeta:species>
        <cmeta:bio_entity>Ventricular Myocyte</cmeta:bio_entity>
        <bqs:reference rdf:parseType="Resource">
          <bqs:Pubmed_id>9349389</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>Shaw</vCard:Family>
                      <vCard:Given>Robin</vCard:Given>
                      <vCard:Other>M</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>Rudy</vCard:Family>
                      <vCard:Given>Yoram</vCard:Given>
                    </vCard:N>
                  </bqs:Person>
                </rdf:li>
              </rdf:Seq>
            </dc:creator>
            <dc:title>
              Electrophysiologic effects of acute myocardial ischemia: a
              theoretical study of altered cell excitability and action potential
              duration.
            </dc:title>
            <dcterms:issued rdf:parseType="Resource">
              <dcterms:W3CDTF>1997</dcterms:W3CDTF>
            </dcterms:issued>
            <bqs:Journal rdf:parseType="Resource">
              <dc:title>Cardiovascular Research</dc:title>
            </bqs:Journal>
            <bqs:volume>35</bqs:volume>
            <bqs:first_page>256</bqs:first_page>
            <bqs:last_page>272</bqs:last_page>
          </bqs:JournalArticle>
        </bqs:reference>
      </rdf:Description>
    </rdf:RDF>
    
    <variable cmeta:id="I_K_ATP" name="I_K_ATP" public_interface="out" units="uA_per_mmsq"/>

    <variable name="Ko" public_interface="in" units="mM"/>
    <variable name="E_K" public_interface="in" units="mV"/>
    <variable name="V" public_interface="in" units="mV"/>
    <variable name="g_K_ATP" public_interface="in" units="mS_per_mmsq"/>
    <variable name="ATP_i" public_interface="in" units="mM"/>
    <variable name="K_half" public_interface="in" units="mM"/>
    <variable name="H" public_interface="in" units="dimensionless"/>
    <variable name="n" public_interface="in" units="dimensionless"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="I_K_ATP_calculation"><eq/>
        <ci>I_K_ATP</ci>
        <apply><times/>
          <ci>g_K_ATP</ci>
          <apply><divide/>
            <cn cellml:units="dimensionless">1.0</cn>
            <apply><plus/>
              <cn cellml:units="dimensionless">1.0</cn>
              <apply><power/>
                <apply><divide/>
                  <ci>ATP_i</ci>
                  <ci>K_half</ci>
                </apply>
                <ci>H</ci>
              </apply>
            </apply>
          </apply>
          <apply><power/>
            <apply><divide/>
              <ci>Ko</ci>
              <cn cellml:units="mM">5.4</cn>
            </apply>
            <ci>n</ci>
          </apply>
          <apply><minus/>
            <ci>V</ci>
            <ci>E_K</ci>
          </apply>
        </apply>
      </apply> 
    </math>
  </component>
  
  <component name="I_K_ATP_Matsuoka" cmeta:id="I_K_ATP_Matsuoka">
    <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="#I_K_ATP_Matsuoka">
        <dc:title>
          Matsuoka et. al (2004) I_K_ATP formulation.
        </dc:title>
        <cmeta:species>guinea pig</cmeta:species>
        <cmeta:bio_entity>Ventricular Myocyte</cmeta:bio_entity>
        <bqs:reference rdf:parseType="Resource">
          <bqs:Pubmed_id>15142748</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>Matsuoka</vCard:Family>
                      <vCard:Given>Satoshi</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>Sarai</vCard:Family>
                      <vCard:Given>Nobuaki</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>Jo</vCard:Family>
                      <vCard:Given>Hikari</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>Noma</vCard:Family>
                      <vCard:Given>Akinori</vCard:Given>
                    </vCard:N>
                  </bqs:Person>
                </rdf:li>
              </rdf:Seq>
            </dc:creator>
            <dc:title>
              Simulation of ATP metabolism in cardiac excitation-contraction
              coupling.
            </dc:title>
            <dcterms:issued rdf:parseType="Resource">
              <dcterms:W3CDTF>2004</dcterms:W3CDTF>
            </dcterms:issued>
            <bqs:Journal rdf:parseType="Resource">
              <dc:title>Prog Biophys Mol Biol</dc:title>
            </bqs:Journal>
            <bqs:volume>85</bqs:volume>
            <bqs:first_page>279</bqs:first_page>
            <bqs:last_page>299</bqs:last_page>
          </bqs:JournalArticle>
        </bqs:reference>
      </rdf:Description>
    </rdf:RDF>
    
    <variable cmeta:id="I_K_ATP" name="I_K_ATP" public_interface="out" units="uA_per_mmsq"/>

    <variable name="Ko" public_interface="in" units="mM"/>
    <variable name="E_K" public_interface="in" units="mV"/>
    <variable name="V" public_interface="in" units="mV"/>
    <variable name="N" public_interface="in" units="mS_per_mmsq"/>
    <variable name="ATP_i" public_interface="in" units="mM"/>
    
    <variable name="gamma" units="dimensionless"/>
    <variable name="Popen" units="dimensionless"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply><eq/>
        <ci>gamma</ci>
        <apply><power/>
          <apply><divide/>
            <ci>Ko</ci>
            <cn cellml:units="mM">6.019e6</cn>
          </apply>
          <cn cellml:units="dimensionless">0.24</cn>
        </apply>
      </apply>
      <apply><eq/>
        <ci>Popen</ci>
        <apply><divide/>
          <cn cellml:units="dimensionless">0.8</cn>
          <apply><plus/>
            <cn cellml:units="dimensionless">1.0</cn>
            <apply><power/>
              <apply><divide/>
                <ci>ATP_i</ci>
                <cn cellml:units="mM">0.1</cn>
              </apply>
              <cn cellml:units="dimensionless">2</cn>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply id="I_K_ATP_calculation"><eq/>
        <ci>I_K_ATP</ci>
        <apply><times/>
          <ci>N</ci>
          <ci>gamma</ci>
          <ci>Popen</ci>
          <apply><minus/>
            <ci>V</ci>
            <ci>E_K</ci>
          </apply>
        </apply>
      </apply> 
    </math>
  </component>
  
</model>
