Location: Calcium Dynamics Annotations @ c5103e98aa24 / bertram_sherman_2004 / model / bertram_sherman_2004.rdf

Author:
neilstephen2001 <npar276@aucklanduni.ac.nz>
Date:
2021-01-24 22:38:46+13:00
Desc:
adding OMEX files to workspace
Permanent Source URI:
https://models.cellml.org/workspace/7f1/rawfile/c5103e98aa24310967dc95ab6549b142d317cfa8/bertram_sherman_2004/model/bertram_sherman_2004.rdf

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:semsim="http://www.bhi.washington.edu/SemSim#"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bqmodel="http://biomodels.net/model-qualifiers/"
    xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current_n_gate.n">
    <dcterms:description>delayed rectifier activation variable</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current.g_K">
    <dcterms:description>maximum conductance of delayed rectifier potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current.n">
    <dcterms:description>delayed rectifier activation variable</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_flux_through_the_membrane.alpha">
    <dcterms:description>current to flux converter</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.O_infinity">
    <dcterms:description>fraction of open IP3 channels</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.IP3">
    <bqbiol:isPropertyOf>
      <rdf:Description rdf:about="./bertram_sherman_2004.cellml#entity_0">
        <bqbiol:isPartOf>
          <rdf:Description rdf:about="./bertram_sherman_2004.cellml#entity_1">
            <bqbiol:is rdf:resource="http://identifiers.org/fma/FMA:85704"/>
          </rdf:Description>
        </bqbiol:isPartOf>
        <bqbiol:is rdf:resource="http://identifiers.org/go/GO:0005829"/>
      </rdf:Description>
    </bqbiol:isPropertyOf>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of IP3</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current.g_K_ATP">
    <dcterms:description>conductance of ATP-sensitive potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current_a_gate.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current.i_K_ATP">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>ATP-sensitive potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current.V_Ca">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>calcium reversal potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#membrane.i_K_Ca">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>calcium-dependent potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current.V_K">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>potassium reversal potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current_omega_gate.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#membrane.Cm">
    <dcterms:description>membrane capacitance</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.d_inact">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>Michaelis-Menten constant of IP3 receptor inactivation by cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current_omega_gate.kD">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>dissociation constant for calcium binding to potassium channel</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#net_calcium_efflux_out_of_the_ER.JIP3">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>calcium flux out of the endoplasmic reticulum through IP3 receptors</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#cytosolic_free_calcium_concentration.fcyt">
    <dcterms:description>fraction of free to total cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#membrane.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current.V">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>membrane potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#membrane.i_K">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>delayed rectifier potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#ER_calcium_concentration.fer">
    <dcterms:description>fraction of free to total calcium in the endoplasmic reticulum</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current_a_gate.a_infinity">
    <dcterms:description>equilibrium function of ADP to ATP nucleotide ratio</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current.g_K_Ca">
    <dcterms:description>maximum conductance of calcium-activated potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.d_IP3">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>Michaelis-Menten constant of IP3 receptor activation by IP3</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#membrane.V">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>membrane potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_flux_through_the_membrane.kPMCA">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296"/>
    <dcterms:description>rate constant of plasma membrane calcium ATPase</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current.V">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>membrane potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current.V">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>membrane potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#ER_calcium_concentration.c_er">
    <bqbiol:isPropertyOf>
      <rdf:Description rdf:about="./bertram_sherman_2004.cellml#entity_2">
        <bqbiol:isPartOf rdf:resource="./bertram_sherman_2004.cellml#entity_1"/>
        <bqbiol:is rdf:resource="http://identifiers.org/fma/FMA:63842"/>
      </rdf:Description>
    </bqbiol:isPropertyOf>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of calcium in endoplasmic reticulum</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#cytosolic_free_calcium_concentration.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_influx_into_the_ER.kSERCA">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296"/>
    <dcterms:description>rate constant of SERCA pumps</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#ER_calcium_concentration.Vcyt_Ver">
    <dcterms:description>ratio of cytosolic to endoplasmic reticulum volume</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current_n_gate.vn">
    <dcterms:description>activation potential of delayed rectifier potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current.i_Ca">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>calcium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current_a_gate.sa">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>saturation nucleotide ratio of ATP-sensitive potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_flux_through_the_membrane.Jmem">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>net calcium flux through plasma membrane</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#ER_calcium_concentration.Jer">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>net calcium flux through the endoplasmic reticulum membrane</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current_m_gate.vm">
    <dcterms:description>activation potential of calcium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_flux_through_the_membrane.i_Ca">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>calcium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current_n_gate.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current_a_gate.tau_a">
    <dcterms:description>time constant of nucleotide oscillations</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#bertram_sherman_2004_version01"
     semsim:modelName="bertram_sherman_2004_version01"
     bqmodel:isDescribedBy="15294427">
    <semsim:hasCellMLdocumentation>&lt;documentation xmlns="http://cellml.org/tmp-documentation"&gt;&#xD;
  &lt;article&gt;&#xD;
    &lt;articleinfo&gt;&#xD;
      &lt;title&gt;A Calcium-based Phantom Bursting Model for Pancreatic Islets&lt;/title&gt;&#xD;
      &lt;author&gt;&#xD;
        &lt;firstname&gt;Catherine&lt;/firstname&gt;&#xD;
        &lt;surname&gt;Lloyd&lt;/surname&gt;&#xD;
        &lt;affiliation&gt;&#xD;
          &lt;shortaffil&gt;Bioengineering Institute, University of Auckland&lt;/shortaffil&gt;&#xD;
        &lt;/affiliation&gt;&#xD;
      &lt;/author&gt;&#xD;
    &lt;/articleinfo&gt;&#xD;
    &lt;section id="sec_status"&gt;&#xD;
      &lt;title&gt;Model Status&lt;/title&gt;&#xD;
      &lt;para&gt;This model is has consistent units and has been verified as valid CellML by ValidateCellML. It is currently unsuitably constrained and can not be solved.&lt;/para&gt;&#xD;
    &lt;/section&gt;&#xD;
    &lt;sect1 id="sec_structure"&gt;&#xD;
      &lt;title&gt;Model Structure&lt;/title&gt;&#xD;
      &lt;para&gt;Pancreatic beta-cells are located in clusters within the pancreas called the islets of Langerhans.  Beta-cells secrete the hormone insulin in response to elevated blood glucose levels, and in doing so, they play an essential role in glucose homeostasis.  When beta-cells fail to function properly, this can lead to pathologies such as type II diabetes.&lt;/para&gt;&#xD;
      &lt;para&gt;&#xD;
        Insulin secretion is oscillatory, and it is in-phase with oscillations in the free cytosolic calcium concentration ([Ca&#xD;
        &lt;superscript&gt;2+&lt;/superscript&gt;&#xD;
        ]&#xD;
        &lt;subscript&gt;i&lt;/subscript&gt;&#xD;
        ), and theses Ca&#xD;
        &lt;superscript&gt;2+&lt;/superscript&gt;&#xD;
        oscillations reflect a bursting pattern in the beta-cell electrical activity.  Electrical bursting consists of periodic active phases of cell firing (excitation) followed by silent phases of hyperpolarisation (rest).  These oscillations can be divided into three categories:&#xD;
      &lt;/para&gt;&#xD;
      &lt;itemizedlist&gt;&#xD;
        &lt;listitem&gt;&#xD;
          &lt;para&gt;&#xD;
            &lt;emphasis&gt;Fast bursting&lt;/emphasis&gt;&#xD;
            , which has a period between 2 and 5 seconds and which often occurs in single cells and in islets where acetylcholine is present;&#xD;
          &lt;/para&gt;&#xD;
        &lt;/listitem&gt;&#xD;
        &lt;listitem&gt;&#xD;
          &lt;para&gt;&#xD;
            &lt;emphasis&gt;Medium bursting&lt;/emphasis&gt;&#xD;
            , which has a period of 10 to 60 seconds and which occurs in islets where there is a stimulatory glucose concentration; and&#xD;
          &lt;/para&gt;&#xD;
        &lt;/listitem&gt;&#xD;
        &lt;listitem&gt;&#xD;
          &lt;para&gt;&#xD;
            &lt;emphasis&gt;Slow bursting&lt;/emphasis&gt;&#xD;
            , which has a period of 2 to 4 minutes and which occurs in single cells and in islets.&#xD;
          &lt;/para&gt;&#xD;
        &lt;/listitem&gt;&#xD;
      &lt;/itemizedlist&gt;&#xD;
      &lt;para&gt;&#xD;
        The first mathematical models of beta-cells were developed to describe medium bursting, and the first models to address the variability in beta-cell oscillations were developed by Chay in 1995 and 1997 (see&#xD;
        &lt;ulink url="${HTML_EXMPL_CHAY_MODEL97}"&gt;Extracellular and Intracellular Calcium Effects on Pancreatic Beta Cells, Chay, 1997&lt;/ulink&gt;&#xD;
        for more details).  In these models the main mechanism for oscillations was variation in the Ca&#xD;
        &lt;superscript&gt;2+&lt;/superscript&gt;&#xD;
        concentration in the ER, which directly or indirectly modulates one or more Ca&#xD;
        &lt;superscript&gt;2+&lt;/superscript&gt;&#xD;
        -dependent channels.  In the Bertram and Sherman model described here the authors analyse in detail how the ER exerts its affects using a phantom bursting model (see&#xD;
        &lt;xref linkend="fig_cell_diagram" /&gt;&#xD;
        below).&#xD;
      &lt;/para&gt;&#xD;
      &lt;para&gt;&#xD;
        The phantom bursting model is a general paradigm for temporal plasticity in bursting in beta-cells in which bursting is driven by the interaction of two slow variables with disparate time constants (see&#xD;
        &lt;ulink url="${HTML_EXMPL_BERTRAM_MODEL}"&gt;The Phantom Burster Model for Pancreatic Beta-Cells, 2000&lt;/ulink&gt;&#xD;
        for more details).  There are three potential slow variables which could drive the phantom bursting&#xD;
        &lt;emphasis&gt;in vivo&lt;/emphasis&gt;&#xD;
        :&#xD;
      &lt;/para&gt;&#xD;
      &lt;itemizedlist&gt;&#xD;
        &lt;listitem&gt;&#xD;
          &lt;para&gt;&#xD;
            cytosolic Ca&#xD;
            &lt;superscript&gt;2+&lt;/superscript&gt;&#xD;
            concentration;&#xD;
          &lt;/para&gt;&#xD;
        &lt;/listitem&gt;&#xD;
        &lt;listitem&gt;&#xD;
          &lt;para&gt;&#xD;
            ER Ca&#xD;
            &lt;superscript&gt;2+&lt;/superscript&gt;&#xD;
            concentration;&#xD;
          &lt;/para&gt;&#xD;
        &lt;/listitem&gt;&#xD;
        &lt;listitem&gt;&#xD;
          &lt;para&gt;and the ADP to ATP ratio.&lt;/para&gt;&#xD;
        &lt;/listitem&gt;&#xD;
      &lt;/itemizedlist&gt;&#xD;
      &lt;para&gt;&#xD;
        The model has been described here in CellML (the raw CellML description of the Bertram and Sherman 2004 model can be downloaded in various formats as described in&#xD;
        &lt;xref linkend="sec_download_this_model" /&gt;&#xD;
        ).&#xD;
      &lt;/para&gt;&#xD;
      &lt;para&gt;The complete original paper reference is cited below:&lt;/para&gt;&#xD;
      &lt;para&gt;&#xD;
        &lt;ulink url="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;amp;_udi=B6WC7-4BS4GC2-1&amp;amp;_user=140507&amp;amp;_coverDate=09%2F30%2F2004&amp;amp;_alid=197872630&amp;amp;_rdoc=1&amp;amp;_fmt=summary&amp;amp;_orig=search&amp;amp;_qd=1&amp;amp;_cdi=6731&amp;amp;_sort=d&amp;amp;_docanchor=&amp;amp;view=c&amp;amp;_acct=C000011498&amp;amp;_version=1&amp;amp;_urlVersion=0&amp;amp;_userid=140507&amp;amp;md5=e1fdd19a27b1c7938c1d568e59a560e0"&gt;A Calcium-based Phantom Bursting Model for Pancreatic Islets&lt;/ulink&gt;&#xD;
        , Richard Bertram and Arthur Sherman, 2004,&#xD;
        &lt;ulink url="http://www.molbiolcell.org/"&gt;&#xD;
          &lt;emphasis&gt;Bulletin of Mathematical Biology&lt;/emphasis&gt;&#xD;
        &lt;/ulink&gt;&#xD;
        , 66, 1313-1344.  (&#xD;
        &lt;ulink url="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;amp;_udi=B6WC7-4BS4GC2-1&amp;amp;_coverDate=09%2F30%2F2004&amp;amp;_alid=197872630&amp;amp;_rdoc=1&amp;amp;_fmt=&amp;amp;_orig=search&amp;amp;_qd=1&amp;amp;_cdi=6731&amp;amp;_sort=d&amp;amp;view=c&amp;amp;_acct=C000011498&amp;amp;_version=1&amp;amp;_urlVersion=0&amp;amp;_userid=140507&amp;amp;md5=b34962c344ab1a8911383073cd53016f"&gt;Full text (HTML)&lt;/ulink&gt;&#xD;
        and&#xD;
        &lt;ulink url="http://www.sciencedirect.com/science?_ob=MImg&amp;amp;_imagekey=B6WC7-4BS4GC2-1-3Y&amp;amp;_cdi=6731&amp;amp;_orig=search&amp;amp;_coverDate=09%2F30%2F2004&amp;amp;_qd=1&amp;amp;_sk=999339994&amp;amp;view=c&amp;amp;wchp=dGLbVzz-zSkWz&amp;amp;_acct=C000011498&amp;amp;_version=1&amp;amp;_userid=140507&amp;amp;md5=4f701b4338556df3136f0c4815596563&amp;amp;ie=f.pdf"&gt;PDF&lt;/ulink&gt;&#xD;
        versions of the article are available to subscribers on the&#xD;
        &lt;emphasis&gt;Bulletin of Mathematical Biology&lt;/emphasis&gt;&#xD;
        website.)&#xD;
        &lt;ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;amp;db=PubMed&amp;amp;list_uids=15294427&amp;amp;dopt=Abstract"&gt;PubMed ID: 15294427&lt;/ulink&gt;&#xD;
      &lt;/para&gt;&#xD;
      &lt;informalfigure float="0" id="fig_cell_diagram"&gt;&#xD;
        &lt;mediaobject&gt;&#xD;
          &lt;imageobject&gt;&#xD;
            &lt;objectinfo&gt;&#xD;
              &lt;title&gt;cell diagram&lt;/title&gt;&#xD;
            &lt;/objectinfo&gt;&#xD;
            &lt;imagedata fileref="bertram_2004.png" /&gt;&#xD;
          &lt;/imageobject&gt;&#xD;
        &lt;/mediaobject&gt;&#xD;
        &lt;caption&gt;A schematic diagram of the ionic currents and fluxes across the ER and the cell surface membranes, which are described by the mathematical model.&lt;/caption&gt;&#xD;
      &lt;/informalfigure&gt;&#xD;
    &lt;/sect1&gt;&#xD;
  &lt;/article&gt;&#xD;
&lt;/documentation&gt;</semsim:hasCellMLdocumentation>
    <semsim:unknown>Pancreatic Islets</semsim:unknown>
    <semsim:unknown>Bertram and Sherman's calcium-based phantom bursting model for pancreatic islets.</semsim:unknown>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current.m_infinity">
    <dcterms:description>steady state function of calcium channel activation variable</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_influx_into_the_ER.J_SERCA">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>calcium flux into endoplasmic reticulum via SERCA pumps</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_leak_out_of_the_ER.c_er">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_2"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of calcium in endoplasmic reticulum</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current.V_K">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>potassium reversal potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current_omega_gate.omega">
    <dcterms:description>fraction of calcium-activated potassium channels activated by cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_leak_out_of_the_ER.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current.i_K">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>delayed rectifier potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current_a_gate.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#cytosolic_free_calcium_concentration.Jer">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>net calcium flux through the endoplasmic reticulum membrane</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current.a">
    <dcterms:description>nucleotide ratio of ADP to ATP</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#membrane.i_Ca">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>calcium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#membrane.i_K_ATP">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>ATP-sensitive potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current_m_gate.m_infinity">
    <dcterms:description>steady state function of calcium channel activation variable</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.JIP3">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>calcium flux out of the endoplasmic reticulum through IP3 receptors</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#ER_calcium_concentration.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current_m_gate.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#net_calcium_efflux_out_of_the_ER.J_SERCA">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>calcium flux into endoplasmic reticulum via SERCA pumps</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current.omega">
    <dcterms:description>fraction of calcium-activated potassium channels activated by cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_leak_out_of_the_ER.Jleak">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>calcium leak flux out of endoplasmic reticulum</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_leak_out_of_the_ER.pleak">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296"/>
    <dcterms:description>leak rate constant</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#environment.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current_n_gate.V">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>membrane potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.d_act">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>Michaelis-Menten constant of IP3 receptor activation by cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current.g_Ca">
    <dcterms:description>maximum conductance of calcium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_influx_into_the_ER.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#cytosolic_free_calcium_concentration.time">
    <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023"/>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current_n_gate.sn">
    <dcterms:description>saturation voltage of delayed rectifier potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current_n_gate.n_infinity">
    <dcterms:description>steady state function of delayed rectifier activation variable</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current_a_gate.a">
    <dcterms:description>nucleotide ratio of ADP to ATP</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#cytosolic_free_calcium_concentration.Jmem">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>net calcium flux through plasma membrane</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#net_calcium_efflux_out_of_the_ER.Jer">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>net calcium flux through the endoplasmic reticulum membrane</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current.i_K_Ca">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00318"/>
    <dcterms:description>calcium-dependent potassium current</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#net_calcium_efflux_out_of_the_ER.Jleak">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00593"/>
    <dcterms:description>calcium leak flux out of endoplasmic reticulum</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#delayed_rectifier_potassium_current_n_gate.tau_n">
    <dcterms:description>activation time constant for delayed rectifier channel</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current_m_gate.V">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>membrane potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_efflux_through_the_IP3R.c_er">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_2"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of calcium in endoplasmic reticulum</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_flux_through_the_membrane.c">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>concentration of free cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current.V">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>membrane potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#nucleotide_sensitive_potassium_current_a_gate.r">
    <bqbiol:isPropertyOf rdf:resource="./bertram_sherman_2004.cellml#entity_0"/>
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00340"/>
    <dcterms:description>total concentration of cytosolic calcium</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_dependent_potassium_current.V_K">
    <bqbiol:isVersionOf rdf:resource="https://identifiers.org/opb/OPB_00506"/>
    <dcterms:description>potassium reversal potential</dcterms:description>
  </rdf:Description>
  <rdf:Description rdf:about="./bertram_sherman_2004.cellml#calcium_current_m_gate.sm">
    <dcterms:description>saturation voltage of calcium current</dcterms:description>
  </rdf:Description>
</rdf:RDF>