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

<model
    name="ten_tusscher_model_2004_ion_fluxes"
    cmeta:id="ten_tusscher_model_2004_ion_fluxes"
    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>2007-05-15</dcterms:W3CDTF>
      </dcterms:created>
      <dc:publisher>
        Division of Bioengineering, National University of Singapore
      </dc:publisher>
    </rdf:Description>
    <rdf:Description rdf:about="#ten_tusscher_model_2004_ion_fluxes">
      <dc:title>
        The membrane ion fluxes of the ten Tusscher et al.
        2004 human ventricular AP model.
      </dc:title>
    </rdf:Description>
    <cmeta:modification rdf:parseType="Resource">
      <rdf:value>
        Moving to using ion-specific additional currents.
      </rdf:value>
      <cmeta:modifier rdf:parseType="Resource">
        <vCard:FN>David Nickerson</vCard:FN>
      </cmeta:modifier>
      <dcterms:modified rdf:parseType="Resource">
        <dcterms:W3CDTF>2007-05-23</dcterms:W3CDTF>
      </dcterms:modified>
    </cmeta:modification>
    <cmeta:modification rdf:parseType="Resource">
      <rdf:value>
        Adding in an additional calcium SR flux for use in extending the model.
      </rdf:value>
      <cmeta:modifier rdf:parseType="Resource">
        <vCard:FN>David Nickerson</vCard:FN>
      </cmeta:modifier>
      <dcterms:modified rdf:parseType="Resource">
        <dcterms:W3CDTF>2007-06-22</dcterms:W3CDTF>
      </dcterms:modified>
    </cmeta:modification>
  </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="uA_per_mmsq" units_ref="uA_per_mmsq"/>
    <units name="mM_per_ms" units_ref="mM_per_ms"/>
    <units name="per_mm" units_ref="per_mm"/>
    <units name="uF_per_mmsq" units_ref="uF_per_mmsq"/>
    <units name="mmcu" units_ref="mmcu"/>
    <units name="mS_per_mmsq" units_ref="mS_per_mmsq"/>
    <units name="K" units_ref="K"/>
    <units name="per_ms" units_ref="per_ms"/>
    <units name="faradays_constant" units_ref="faradays_constant"/>
  </import>
  
  <component name="K_flux" cmeta:id="K_flux">
    <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="#K_flux">
        <cmeta:comment rdf:parseType="Resource">
          <rdf:value>
            A component which sums the provided potassium fluxes.
          </rdf:value>
        </cmeta:comment>
      </rdf:Description>
    </rdf:RDF>
    
    <variable cmeta:id="K_flux" name="K_flux" public_interface="out" private_interface="out" units="mM_per_ms"/>
    
    <variable name="vC" public_interface="in" units="dimensionless"/>
    <variable name="Am" public_interface="in" units="per_mm"/>
    <variable name="F" public_interface="in" units="faradays_constant"/>
    <variable name="IK_additional" public_interface="in" units="uA_per_mmsq"/>
    <variable name="IK1" public_interface="in" units="uA_per_mmsq"/>
    <variable name="Ito" public_interface="in" units="uA_per_mmsq"/>
    <variable name="IKr" public_interface="in" units="uA_per_mmsq"/>
    <variable name="IKs" public_interface="in" units="uA_per_mmsq"/>
    <variable name="INaK" public_interface="in" units="uA_per_mmsq"/>
    <variable name="IpK" public_interface="in" units="uA_per_mmsq"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="K_flux_total_calculation"><eq />
        <ci> K_flux </ci>
        <apply><times/>
          <apply><divide/>
            <ci>Am</ci>
            <apply><times />
              <ci> vC </ci>
              <ci> F </ci>
            </apply>
          </apply>
          <apply><minus/>
            <apply><plus />
              <ci> IK_additional </ci>
              <ci> IK1 </ci>
              <ci> Ito </ci>
              <ci> IKr </ci>
              <ci> IKs </ci>
              <ci> IpK </ci>
            </apply>
            <apply><times />
              <ci> INaK </ci>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>

  <component name="Na_flux" cmeta:id="Na_flux">
    <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="#Na_flux">
        <cmeta:comment rdf:parseType="Resource">
          <rdf:value>
            A component which sums the provided sodium fluxes.
          </rdf:value>
        </cmeta:comment>
      </rdf:Description>
    </rdf:RDF>
    
    <variable cmeta:id="Na_flux" name="Na_flux" public_interface="out" private_interface="out" units="mM_per_ms"/>
    
    <variable name="vC" public_interface="in" units="dimensionless"/>
    <variable name="Am" public_interface="in" units="per_mm"/>
    <variable name="F" public_interface="in" units="faradays_constant"/>
    <variable name="INa_additional" public_interface="in" units="uA_per_mmsq"/>
    <variable name="INa" public_interface="in" units="uA_per_mmsq"/>
    <variable name="IbNa" public_interface="in" units="uA_per_mmsq"/>
    <variable name="INaK" public_interface="in" units="uA_per_mmsq"/>
    <variable name="INaCa" public_interface="in" units="uA_per_mmsq"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="Na_flux_total_calculation"><eq />
        <ci> Na_flux </ci>
        <apply><times/>
          <apply><divide/>
            <ci>Am</ci>
            <apply><times />
              <ci> vC </ci>
              <ci> F </ci>
            </apply>
          </apply>
          <apply><plus />
            <ci> INa </ci>
            <ci> INa_additional </ci>
            <ci> IbNa </ci>
            <apply><times />
              <ci> INaK </ci>
              <cn cellml:units="dimensionless"> 3.0 </cn>
            </apply>
            <apply><times />
              <ci> INaCa </ci>
              <cn cellml:units="dimensionless"> 3.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="Ca_flux" cmeta:id="Ca_flux">
    <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="#Ca_flux">
        <cmeta:comment rdf:parseType="Resource">
          <rdf:value>
            A component which sums the provided calcium membrane fluxes. Gives the
            rate of change of intracellular concentration due to sarcolemmal
            calcium fluxes.
          </rdf:value>
        </cmeta:comment>
      </rdf:Description>
    </rdf:RDF>
    
    <variable cmeta:id="Ca_flux" name="Ca_flux" public_interface="out" private_interface="out" units="mM_per_ms"/>
    
    <variable name="vC" public_interface="in" units="dimensionless"/>
    <variable name="Am" public_interface="in" units="per_mm"/>
    <variable name="F" public_interface="in" units="faradays_constant"/>
    <variable name="ICa_additional" public_interface="in" units="uA_per_mmsq"/>
    <variable name="ICaL" public_interface="in" units="uA_per_mmsq"/>
    <variable name="IbCa" public_interface="in" units="uA_per_mmsq"/>
    <variable name="IpCa" public_interface="in" units="uA_per_mmsq"/>
    <variable name="INaCa" public_interface="in" units="uA_per_mmsq"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="Ca_flux_total_calculation"><eq />
        <ci> Ca_flux </ci>
        <apply><times/>
          <apply><divide/>
            <ci>Am</ci>
            <apply><times />
              <cn cellml:units="dimensionless">2.0</cn>
              <ci> vC </ci>
              <ci> F </ci>
            </apply>
          </apply>
          <apply><minus/>
            <apply><times/>
              <cn cellml:units="dimensionless">2.0</cn>
              <ci>INaCa</ci>
            </apply>
            <apply><plus />
              <ci>ICa_additional</ci>
              <ci>ICaL</ci>
              <ci>IbCa</ci>
              <ci>IpCa</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="Ca_SR_flux" cmeta:id="Ca_SR_flux">
    <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="#Ca_SR_flux">
        <cmeta:comment rdf:parseType="Resource">
          <rdf:value>
            A component which sums the provided calcium fluxes. Gives the
            rate of change of intracellular concentration due to SR
            calcium fluxes.
          </rdf:value>
        </cmeta:comment>
      </rdf:Description>
      <rdf:Description rdf:about="#JCaSR_additional">
        <cmeta:comment rdf:parseType="Resource">
          <rdf:value>
            An additional calcium flux which can be used by higher level components to
            modify or extend the base TNNP Ca fluxes into and/or out of the SR.
          </rdf:value>
        </cmeta:comment>
      </rdf:Description>
    </rdf:RDF>
    
    <variable cmeta:id="Ca_SR_flux" name="Ca_SR_flux" public_interface="out" private_interface="out" units="mM_per_ms"/>
    
    <variable name="Jleak" public_interface="in" units="mM_per_ms"/>
    <variable name="Jup" public_interface="in" units="mM_per_ms"/>
    <variable name="Jrel" public_interface="in" units="mM_per_ms"/>
    <variable cmeta:id="JCaSR_additional" name="JCaSR_additional" public_interface="in" units="mM_per_ms"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="Ca_SR_flux_total_calculation"><eq />
        <ci> Ca_SR_flux </ci>
        <apply><minus/>
          <apply><plus/>
            <ci>Jleak</ci>
            <ci>Jrel</ci>
            <ci>JCaSR_additional</ci>
          </apply>
          <ci>Jup</ci>
        </apply>
      </apply>
    </math>
  </component>
</model>
