Location: Calcium Dynamics Annotations @ 4d6408caaf3e / chay_1997 / model / chay_1997.cellml

Author:

neilstephen2001 <npar276@aucklanduni.ac.nz>

Date:

2021-01-26 14:35:03+13:00

Desc:

modifying rdf files

Permanent Source URI:

https://models.cellml.org/workspace/7f1/rawfile/4d6408caaf3e7b1b86d33d53d26105360ef95347/chay_1997/model/chay_1997.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:semsim="http://www.bhi.washington.edu/SemSim#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" name="chay_1997" cmeta:id="chay_1997">
  <documentation xmlns="http://cellml.org/tmp-documentation">
    <article>
      <articleinfo>
        <title>Extracellular And Intracellular Calcium Effects On Pancreatic Beta-Cells</title>
        <author>
          <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
          <affiliation>
            <shortaffil>Auckland Bioengineering Institute, The university of Auckland</shortaffil>
          </affiliation>
        </author>
      </articleinfo>
      <section id="sec_status">
        <title>Model Status</title>
        <para>This CellML model runs in both OpenCell and COR to reproduce the published results. The value for the variable 'Ca_o' in the component 'calcium_current' can be altered to 0, 2.5, 5 or 7.5 mM to reproduce figures 5 a,b,c,d, respectively.</para>
      </section>
      <sect1 id="sec_structure">
        <title>Model Structure</title>
        <para>ABSTRACT: The extracellular calcium concentration has interesting effects on bursting of pancreatic beta-cells. The mechanism underlying the extracellular Ca2+ effect is not well understood. By incorporating a low-threshold transient inward current to the store-operated bursting model of Chay, this paper elucidates the role of the extracellular Ca2+ concentration in influencing electrical activity, intracellular Ca2+ concentration, and the luminal Ca2+ concentration in the intracellular Ca2+ store. The possibility that this inward current is a carbachol-sensitive and TTX-insensitive Na+ current discovered by others is discussed. In addition, this paper explains how these three variables respond when various pharmacological agents are applied to the store-operated model.</para>
        <para>The original paper reference is cited below:</para>
        <para>
          Effects of extracellular Calcium on Electrical Bursting and Intracellular and Luminal Calcium Oscillations in Insulin Secreting Pancreatic Beta-Cells, Teresa Ree Chay, 1997,
          <emphasis>Biophysical Journal</emphasis>
          , 73, 1673-1688.
          <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=9284334&amp;dopt=Abstract">PubMed ID: 9284334</ulink>
        </para>
        <informalfigure float="0" id="fig_cell_diagram">
          <mediaobject>
            <imageobject>
              <objectinfo>
                <title>diagram of the mitochondrial Ca2+ handling model</title>
              </objectinfo>
              <imagedata fileref="chay_1997.png" />
            </imageobject>
          </mediaobject>
          <caption>
            A schematic representation of the current and fluxes captured by the Chay 1997 pancreatic beta-cell model.  This diagram shows the plasma membrane currents associated with burst and spike oscillations: the fast current, I
            <subscript>fast</subscript>
            ; the calcium current, I
            <subscript>
              Ca
              <superscript>2+</superscript>
            </subscript>
            ; the cationic nonselective inward current, I
            <subscript>NS</subscript>
            ; the delayed-rectifying K
            <superscript>+</superscript>
            current, I
            <subscript>K(dr)</subscript>
            , the calcium-sensitive K
            <superscript>+</superscript>
            current, I
            <subscript>K(Ca)</subscript>
            ; the ATP-sensitive K
            <superscript>+</superscript>
            current, I
            <subscript>K(ATP)</subscript>
            ; and the Na
            <superscript>+</superscript>
            leak current, I
            <subscript>Na(L)</subscript>
            .  The ER intracellular Ca
            <superscript>2+</superscript>
            store is also shown with its associated transmembrane calcium fluxes: calcium release, J
            <subscript>rel</subscript>
            ; and calcium uptake by the Ca
            <superscript>2+</superscript>
            -ATPase, J
            <subscript>pump</subscript>
            .
          </caption>
        </informalfigure>
      </sect1>
    </article>
  </documentation>
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    <unit exponent="-1.0" units="mole" />
  </units>
  <units name="per_millivolt">
    <unit exponent="-1.0" units="millivolt" />
  </units>
  <units name="micromolar">
    <unit exponent="-1.0" units="litre" />
    <unit prefix="micro" units="mole" />
  </units>
  <units name="nanoA_per_micromolar_per_cm2">
    <unit exponent="-1.0" units="micromolar" />
    <unit exponent="-2.0" prefix="centi" units="metre" />
    <unit prefix="nano" units="ampere" />
  </units>
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    <unit exponent="-1.0" prefix="nano" units="ampere" />
    <unit units="micromolar" />
    <unit exponent="-1.0" units="second" />
  </units>
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    <unit prefix="milli" units="volt" />
  </units>
  <units name="microS_per_cm2">
    <unit prefix="micro" units="siemens" />
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    <unit prefix="nano" units="ampere" />
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    <unit prefix="micro" units="farad" />
  </units>
  <units name="per_second">
    <unit exponent="-1.0" units="second" />
  </units>
  <units name="millijoule_per_mole_kelvin">
    <unit exponent="-1.0" units="mole" />
    <unit prefix="milli" units="joule" />
    <unit exponent="-1.0" units="kelvin" />
  </units>
  <component name="environment">
    <variable cmeta:id="environment_time" name="time" public_interface="out" units="second" />
  </component>
  <component name="membrane">
    <variable cmeta:id="membrane_V" initial_value="-38.34146" name="V" public_interface="out" units="millivolt" />
    <variable cmeta:id="membrane.R" initial_value="8314" name="R" public_interface="out" units="millijoule_per_mole_kelvin" />
    <variable cmeta:id="membrane.T" initial_value="310" name="T" public_interface="out" units="kelvin" />
    <variable cmeta:id="membrane.F" initial_value="96485" name="F" public_interface="out" units="coulomb_per_mole" />
    <variable cmeta:id="membrane.Cm" initial_value="1" name="Cm" units="microF_per_cm2" />
    <variable cmeta:id="membrane.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="membrane.i_K_dr" name="i_K_dr" public_interface="in" units="nanoA_per_cm2" />
    <variable cmeta:id="membrane.i_K_Ca" name="i_K_Ca" public_interface="in" units="nanoA_per_cm2" />
    <variable cmeta:id="membrane.i_K_ATP" name="i_K_ATP" public_interface="in" units="nanoA_per_cm2" />
    <variable cmeta:id="membrane.i_fast" name="i_fast" public_interface="in" units="nanoA_per_cm2" />
    <variable cmeta:id="membrane.i_Ca" name="i_Ca" public_interface="in" units="nanoA_per_cm2" />
    <variable cmeta:id="membrane.i_NS" name="i_NS" public_interface="in" units="nanoA_per_cm2" />
    <variable cmeta:id="membrane.i_NaL" name="i_NaL" public_interface="in" units="nanoA_per_cm2" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <apply>
          <diff />
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            <ci>time</ci>
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        </apply>
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    </math>
  </component>
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    </math>
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    <variable cmeta:id="fast_current_h_gate.Sh" initial_value="-7" name="Sh" units="millivolt" />
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                </apply>
              </apply>
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          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="calcium_current">
    <variable cmeta:id="calcium_current_i_Ca" name="i_Ca" public_interface="out" units="nanoA_per_cm2" />
    <variable cmeta:id="calcium_current.K_Ca" initial_value="1" name="K_Ca" public_interface="out" private_interface="out" units="micromolar" />
    <variable cmeta:id="calcium_current.P_Ca" initial_value="2" name="P_Ca" units="nanoA_per_micromolar_per_cm2" />
    <variable cmeta:id="calcium_current.Ca_o" initial_value="2500" name="Ca_o" units="micromolar" />
    <variable cmeta:id="calcium_current.R" name="R" public_interface="in" units="millijoule_per_mole_kelvin" />
    <variable cmeta:id="calcium_current.F" name="F" public_interface="in" units="coulomb_per_mole" />
    <variable cmeta:id="calcium_current.T" name="T" public_interface="in" units="kelvin" />
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    <variable cmeta:id="calcium_current.Ca_i" name="Ca_i" public_interface="in" private_interface="out" units="micromolar" />
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            <apply>
              <plus />
              <apply>
                <power />
                <ci>K_NS</ci>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
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              <apply>
                <power />
                <ci>Ca_lum</ci>
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          </apply>
          <apply>
            <minus />
            <apply>
              <divide />
              <apply>
                <minus />
                <ci>V</ci>
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                <minus />
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                  <exp />
                  <apply>
                    <times />
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1</cn>
                    <apply>
                      <minus />
                      <ci>VNS</ci>
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            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
          </apply>
        </apply>
      </apply>
    </math>
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    <variable cmeta:id="delayed_rectifier_K_channel_current.V_K" initial_value="-75" name="V_K" public_interface="out" units="millivolt" />
    <variable cmeta:id="delayed_rectifier_K_channel_current.g_K_dr" initial_value="600" name="g_K_dr" units="microS_per_cm2" />
    <variable cmeta:id="delayed_rectifier_K_channel_current.time" name="time" public_interface="in" private_interface="out" units="second" />
    <variable cmeta:id="delayed_rectifier_K_channel_current.V" name="V" public_interface="in" private_interface="out" units="millivolt" />
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        <eq />
        <ci>i_K_dr</ci>
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          <times />
          <ci>g_K_dr</ci>
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            <power />
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            <minus />
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    <variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.time" name="time" public_interface="in" units="second" />
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              <exp />
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                <divide />
                <apply>
                  <minus />
                  <ci>Vn</ci>
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                <ci>Sn</ci>
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            </apply>
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      <apply>
        <eq />
        <ci>tau_n</ci>
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          <divide />
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            <times />
            <ci>lamda_n</ci>
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              <plus />
              <apply>
                <exp />
                <apply>
                  <divide />
                  <apply>
                    <minus />
                    <ci>Vn</ci>
                    <ci>V</ci>
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                    <times />
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                    <ci>Sn</ci>
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              <apply>
                <exp />
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                  <divide />
                  <apply>
                    <minus />
                    <ci>V</ci>
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                    <times />
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                    <ci>Sn</ci>
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                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
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    <variable cmeta:id="Ca_sensitive_K_current_i_K_Ca" name="i_K_Ca" public_interface="out" units="nanoA_per_cm2" />
    <variable cmeta:id="Ca_sensitive_K_current.g_K_Ca" initial_value="5" name="g_K_Ca" units="microS_per_cm2" />
    <variable cmeta:id="Ca_sensitive_K_current.K_Ca" name="K_Ca" public_interface="in" units="micromolar" />
    <variable cmeta:id="Ca_sensitive_K_current.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="Ca_sensitive_K_current.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="Ca_sensitive_K_current.V_K" name="V_K" public_interface="in" units="millivolt" />
    <variable cmeta:id="Ca_sensitive_K_current.Ca_i" name="Ca_i" public_interface="in" units="micromolar" />
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      <apply>
        <eq />
        <ci>i_K_Ca</ci>
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          <times />
          <apply>
            <divide />
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              <times />
              <ci>g_K_Ca</ci>
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                <power />
                <ci>Ca_i</ci>
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            <apply>
              <plus />
              <apply>
                <power />
                <ci>K_Ca</ci>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
              </apply>
              <apply>
                <power />
                <ci>Ca_i</ci>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
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            </apply>
          </apply>
          <apply>
            <minus />
            <ci>V</ci>
            <ci>V_K</ci>
          </apply>
        </apply>
      </apply>
    </math>
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    <variable cmeta:id="ATP_sensitive_K_current_i_K_ATP" name="i_K_ATP" public_interface="out" units="nanoA_per_cm2" />
    <variable cmeta:id="ATP_sensitive_K_current.g_K_ATP" initial_value="2" name="g_K_ATP" units="microS_per_cm2" />
    <variable cmeta:id="ATP_sensitive_K_current.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="ATP_sensitive_K_current.V" name="V" public_interface="in" units="millivolt" />
    <variable cmeta:id="ATP_sensitive_K_current.V_K" name="V_K" public_interface="in" units="millivolt" />
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      <apply>
        <eq />
        <ci>i_K_ATP</ci>
        <apply>
          <times />
          <ci>g_K_ATP</ci>
          <apply>
            <minus />
            <ci>V</ci>
            <ci>V_K</ci>
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    <variable cmeta:id="Na_leak_current_i_NaL" name="i_NaL" public_interface="out" units="nanoA_per_cm2" />
    <variable cmeta:id="Na_leak_current.g_NaL" initial_value="0.3" name="g_NaL" units="microS_per_cm2" />
    <variable cmeta:id="Na_leak_current.V_Na" initial_value="80" name="V_Na" units="millivolt" />
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    <variable cmeta:id="Na_leak_current.V" name="V" public_interface="in" units="millivolt" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <ci>i_NaL</ci>
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          <times />
          <ci>g_NaL</ci>
          <apply>
            <minus />
            <ci>V</ci>
            <ci>V_Na</ci>
          </apply>
        </apply>
      </apply>
    </math>
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  <component name="cytosolic_calcium">
    <variable cmeta:id="cytosolic_calcium_Ca_i" initial_value="0.6959466" name="Ca_i" public_interface="out" units="micromolar" />
    <variable cmeta:id="cytosolic_calcium_Ca_lum" initial_value="102.686" name="Ca_lum" public_interface="out" units="micromolar" />
    <variable cmeta:id="cytosolic_calcium.k_rel" initial_value="0.2" name="k_rel" units="per_second" />
    <variable cmeta:id="cytosolic_calcium.k_Ca" initial_value="7" name="k_Ca" units="per_second" />
    <variable cmeta:id="cytosolic_calcium.k_pump" initial_value="30" name="k_pump" units="per_second" />
    <variable cmeta:id="cytosolic_calcium.omega" initial_value="0.2" name="omega" units="micromolar_cm2_per_nanoA_per_second" />
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        <eq />
        <apply>
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          <bvar>
            <ci>time</ci>
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          <minus />
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            <times />
            <ci>k_rel</ci>
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              <minus />
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          <apply>
            <plus />
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              <times />
              <ci>omega</ci>
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            <apply>
              <times />
              <ci>k_Ca</ci>
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          <plus />
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            <times />
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              <minus />
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            <times />
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    <relationship_ref relationship="encapsulation" />
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    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.R">
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      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
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      <dcterms:description>steady state function of fast current M-gate activation variable</dcterms:description>
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      <dcterms:description>half-maximal activation potential of calcium current D-gate</dcterms:description>
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      <dcterms:description>sequestration rate of intracellular calcium</dcterms:description>
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      <dcterms:description>sodium reversal potential</dcterms:description>
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      <dcterms:description>saturation potential of fast current H-gate</dcterms:description>
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    <rdf:Description rdf:about="#Ca_sensitive_K_current.V">
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        <rdf:Description rdf:about="#property_29">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
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      <dcterms:description>steady state function of fast current H-gate activation variable</dcterms:description>
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    <rdf:Description rdf:about="chay_1997.cellml#cytosolic_calcium.time">
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    <rdf:Description rdf:about="#fast_current_m_gate.V">
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        <rdf:Description rdf:about="#property_10">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
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      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
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      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00089" />
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      <dcterms:description>steady state function of fast current M-gate activation variable</dcterms:description>
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      <dcterms:description>fast current</dcterms:description>
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      <dcterms:description>concentration of luminal calcium</dcterms:description>
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      <dcterms:description>sodium leak current conductance</dcterms:description>
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      <dcterms:description>calcium-sensitive potassium current</dcterms:description>
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    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.time">
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    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#Ca_sensitive_K_current.V_K">
      <dcterms:description>potassium reversal potential</dcterms:description>
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      <dcterms:description>rate of calcium release from endoplasmic reticulum</dcterms:description>
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      <dcterms:description>activation time constant of fast current H-gate</dcterms:description>
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    <rdf:Description rdf:about="#calcium_current_f_gate.Ca_i">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_19">
          <semsim:physicalPropertyOf>
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              <ro:part_of>
                <rdf:Description rdf:about="#entity_1">
                  <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/go/GO:0005829" />
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              </ro:part_of>
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    <rdf:Description rdf:about="#membrane.T">
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      <dcterms:description>absolute temperature</dcterms:description>
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    <rdf:Description rdf:about="#cationic_nonselective_inward_current.VNS">
      <dcterms:description>half-maximal activation potential of cationic non-selective inward current</dcterms:description>
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      <dcterms:description>calcium current</dcterms:description>
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      <dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
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    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.d_infinity">
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    <rdf:Description rdf:about="#cytosolic_calcium.k_pump">
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      <dcterms:description>rate of calcium release from endoplasmic reticulum</dcterms:description>
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    <rdf:Description rdf:about="chay_1997.cellml#membrane.i_K_dr">
      <dcterms:description>delayed-rectifying potassium current</dcterms:description>
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    <rdf:Description rdf:about="#Na_leak_current.V">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_34">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
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      </semsim:isComputationalComponentFor>
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    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.time">
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        <rdf:Description rdf:about="#property_26">
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    <rdf:Description rdf:about="chay_1997.cellml#cytosolic_calcium.k_rel">
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      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_21">
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      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium half-saturation constant of cationic nonselective inward current</dcterms:description>
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        <rdf:Description rdf:about="#property_9">
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    <rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
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    <rdf:Description rdf:about="#membrane.i_Ca">
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        <rdf:Description rdf:about="#property_5">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
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      </semsim:isComputationalComponentFor>
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      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_17">
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      <dcterms:description>potassium reversal potential</dcterms:description>
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      <dcterms:description>fast current conductance</dcterms:description>
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    <rdf:Description rdf:about="#calcium_current.Ca_i">
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      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_36">
          <semsim:physicalPropertyOf>
            <rdf:Description rdf:about="#entity_4">
              <ro:part_of>
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                  <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/fma/FMA:63842" />
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              </ro:part_of>
              <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:29108" />
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      <dcterms:description>ATP-sensitive potassium current conductance</dcterms:description>
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      <semsim:isComputationalComponentFor>
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      </semsim:isComputationalComponentFor>
      <dcterms:description>half-saturation constant of calcium current</dcterms:description>
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    <rdf:Description rdf:about="#membrane.i_NS">
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    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current_d_gate.Vd">
      <dcterms:description>half-maximal activation potential of calcium current D-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Na_leak_current_i_NaL">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_33">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>sodium leak current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#Ca_sensitive_K_current.g_K_Ca">
      <dcterms:description>calcium-sensitive potassium current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current.d">
      <dcterms:description>calcium current D-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.Vn">
      <dcterms:description>half-maximal activation potential of delayed rectifier potassium channel</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Na_leak_current.V_Na">
      <dcterms:description>sodium reversal potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.i_K_Ca">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_2">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium-sensitive potassium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current.T">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00293" />
      <dcterms:description>absolute temperature</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current_m_gate.m_infinity">
      <dcterms:description>steady state function of fast current M-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.Sm">
      <dcterms:description>saturation potential of fast current M-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.n_infinity">
      <dcterms:description>steady state function of delayed rectifier potassium channel activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#membrane_V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#cytosolic_calcium_Ca_i">
      <bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
      <dcterms:description>concentration of intracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.i_NaL">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_7">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>sodium leak current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cationic_nonselective_inward_current.g_NS">
      <dcterms:description>cationic non-selective inward current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cytosolic_calcium.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current.g_K_dr">
      <dcterms:description>delayed rectifier potassium current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current_h_gate.Sh">
      <dcterms:description>saturation potential of fast current H-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#Na_leak_current.g_NaL">
      <dcterms:description>sodium leak current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.lamda_d">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
    </rdf:Description>
    <rdf:Description rdf:about="#cytosolic_calcium.i_Ca">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_37">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#cytosolic_calcium.k_Ca">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
      <dcterms:description>sequestration rate of intracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Na_leak_current.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.K_Ca">
      <bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#membrane.F">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00089" />
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current.f_infinity">
      <dcterms:description>steady state function of calcium current F-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.i_fast">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_4">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>fast current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current.R">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.d">
      <dcterms:description>calcium current D-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current_m_gate.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#ATP_sensitive_K_current.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current_m_gate.Vm">
      <dcterms:description>half-maximal activation potential of fast current M-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#Ca_sensitive_K_current.Ca_i">
      <bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
      <dcterms:description>concentration of intracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current_h_gate.Vh">
      <dcterms:description>half-maximal activation potential of fast current H-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#delayed_rectifier_K_channel_current_n_gate.Sn">
      <dcterms:description>saturation potential of delayed rectifier potassium channel</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#Na_leak_current.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#ATP_sensitive_K_current_i_K_ATP">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_31">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>ATP-sensitive potassium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.tau_n">
      <dcterms:description>activation time constant of delayed rectifier potassium channel</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#membrane.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current.V_fast">
      <dcterms:description>fast current reversal potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#membrane.Cm">
      <dcterms:description>membrane capacitance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#delayed_rectifier_K_channel_current.V">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_25">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current.VNS">
      <dcterms:description>half-maximal activation potential of cationic non-selective inward current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#cationic_nonselective_inward_current_i_NS">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_20">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>cationic nonselective inward current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#chay_1997" bqmodel:isDescribedBy="9284334" />
    <rdf:Description rdf:about="#delayed_rectifier_K_channel_current.g_K_dr">
      <dcterms:description>delayed rectifier potassium current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current.V_fast">
      <dcterms:description>fast current reversal potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#ATP_sensitive_K_current.V">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_32">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current.Ca_lum">
      <bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
      <dcterms:description>concentration of luminal calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_i_K_dr">
      <dcterms:description>delayed-rectifying potassium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Ca_sensitive_K_current.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current.V_K">
      <dcterms:description>potassium reversal potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current_i_Ca">
      <dcterms:description>calcium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current.h">
      <dcterms:description>fast current H-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#delayed_rectifier_K_channel_current_i_K_dr">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_24">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>delayed-rectifying potassium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current_i_Ca">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_12">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.f_infinity">
      <dcterms:description>steady state function of calcium current F-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#delayed_rectifier_K_channel_current_n_gate.n">
      <dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cationic_nonselective_inward_current.V">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_23">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Ca_sensitive_K_current.Ca_i">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_30">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of intracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current_f_gate.Ca_i">
      <bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
      <dcterms:description>concentration of intracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#delayed_rectifier_K_channel_current_n_gate.Vn">
      <dcterms:description>half-maximal activation potential of delayed rectifier potassium channel</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.Cm">
      <dcterms:description>membrane capacitance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cytosolic_calcium_Ca_i">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_35">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of intracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#membrane.R">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current_i_NS">
      <dcterms:description>cationic nonselective inward current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.V_K">
      <dcterms:description>potassium reversal potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current.n">
      <dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#membrane.i_K_ATP">
      <dcterms:description>ATP-sensitive potassium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Ca_sensitive_K_current.g_K_Ca">
      <dcterms:description>calcium-sensitive potassium current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.g_K_ATP">
      <dcterms:description>ATP-sensitive potassium current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.F">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00089" />
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current_d_gate.tau_d">
      <dcterms:description>activation time constant of calcium current D-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#Ca_sensitive_K_current.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.T">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00293" />
      <dcterms:description>absolute temperature</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current.V">
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current_h_gate.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#membrane.R">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current_f_gate.f_infinity">
      <dcterms:description>steady state function of calcium current F-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current.Ca_o">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_14">
          <semsim:physicalPropertyOf>
            <rdf:Description rdf:about="#entity_2">
              <ro:part_of>
                <rdf:Description rdf:about="#entity_3">
                  <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/fma/FMA:70022" />
                </rdf:Description>
              </ro:part_of>
              <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:29108" />
            </rdf:Description>
          </semsim:physicalPropertyOf>
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of extracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.Ca_o">
      <bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
      <dcterms:description>concentration of extracellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current.d">
      <dcterms:description>calcium current D-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#cytosolic_calcium.i_Ca">
      <dcterms:description>calcium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current_d_gate.lamda_d">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.lamda_n">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.Sd">
      <dcterms:description>saturation potential of calcium current D-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.Sn">
      <dcterms:description>saturation potential of delayed rectifier potassium channel</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current.g_fast">
      <dcterms:description>fast current conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cationic_nonselective_inward_current.Ca_lum">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_22">
          <semsim:physicalPropertyOf rdf:resource="#entity_4" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of luminal calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current_h_gate.h">
      <dcterms:description>fast current H-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current_h_gate.lamda_h">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current_i_K_ATP">
      <dcterms:description>ATP-sensitive potassium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#delayed_rectifier_K_channel_current.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_current_d_gate.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.Vm">
      <dcterms:description>half-maximal activation potential of fast current M-gate</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#fast_current_h_gate.V">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_11">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.m_infinity">
      <dcterms:description>steady state function of fast current M-gate activation variable</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Ca_sensitive_K_current.K_Ca">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_28">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>half-saturation constant of calcium current</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#chay_1997" bqmodel:isDescribedBy="9284334" semsim:modelName="chay_1997">
      <semsim:unknown>Pancreatic Beta-cell</semsim:unknown>
      <semsim:unknown>The Chay et al 1997 mathematical model of the effects of extracellular 
        and intracellular calcium on pancreatic beta cells.</semsim:unknown>
    </rdf:Description>
  </rdf:RDF>
</model>