Location: Calcium Dynamics Annotations @ 4d6408caaf3e / marhl_schuster_brumen_heinrich_1997 / model / marhl_schuster_brumen_heinrich_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/marhl_schuster_brumen_heinrich_1997/model/marhl_schuster_brumen_heinrich_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="marhl_schuster_brumen_heinrich_1997" cmeta:id="marhl_schuster_brumen_heinrich_1997_version01">
  <documentation xmlns="http://cellml.org/tmp-documentation">
    <article>
      <articleinfo>
        <title>Modelling the Interellations Between Calcium Oscillations and ER Membrane Potential Oscillations</title>
        <author>
          <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
          <affiliation>
            <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
          </affiliation>
        </author>
      </articleinfo>
      <section id="sec_status">
        <title>Model Status</title>
        <para>This is the original unchecked version of the model imported from the previous
            CellML model repository, 24-Jan-2006.</para>
      </section>
      <sect1 id="sec_structure">
        <title>Model Structure</title>
        <para>
          Oscillations in the cytosolic calcium concentration ([Ca
          <superscript>2+</superscript>
          ]
          <subscript>i</subscript>
          ), in the form of repetitive spikes, may be stimulated by hormones or neurotransmitters in a variety of cell types, including hepatocytes, oocytes, cardiomyocytes and fibroblasts.  It is generally accepted that the mechanism underlying these calcium oscillations is related to the calcium-induced calcium release (CICR) mechanism.  Often, secondary messengers such as inositol 1,4,5-trisphosphate (IP
          <subscript>3</subscript>
          ) are also involved.  Calcium oscillations play a role in the regulation of cell excretion, muscle contraction, activation of mammalian oocytes, call signalling and other cellular activities.
        </para>
        <para>Calcium oscillations and their underlying molecular mechanisms have been the subject of interest for several mathematical models, including:</para>
        <itemizedlist>
          <listitem>
            <para>
              <ulink url="${HTML_EXMPL_LI_MODEL}">
                Li and Rinzel, IP3-Mediated Ca
                <superscript>2+</superscript>
                Oscillations - A Simplified Model, 1994
              </ulink>
              ;
            </para>
          </listitem>
          <listitem>
            <para>
              <ulink url="${HTML_EXMPL_FRIEL_MODEL}">
                D. Friel, [Ca
                <superscript>2+</superscript>
                ]
                <subscript>i</subscript>
                Oscillations in in Sympathetic Neurons, 1995
              </ulink>
              ;
            </para>
          </listitem>
          <listitem>
            <para>
              <ulink url="${HTML_EXMPL_CHAY_MODEL}">
                Chay
                <emphasis>et al.</emphasis>
                , Intracellular Calcium Spikes in Non-Excitable Cells, 1995
              </ulink>
              ; and
            </para>
          </listitem>
          <listitem>
            <para>
              <ulink url="${HTML_EXMPL_KEIZER_MODEL}">
                Keizer and Levine, RyR Adaptation and Ca
                <superscript>2+</superscript>
                Oscillations, 1996
              </ulink>
              .
            </para>
          </listitem>
        </itemizedlist>
        <para>
          In the Marhl
          <emphasis>et al.</emphasis>
          1997 publication described here, the authors present an electrochemical model which accounts for intracellular calcium oscillations and their interrelations with oscillations of the potential difference across the membrane of the endoplasmic reticulum (ER) or other inracellular calium stores (see
          <xref linkend="fig_cell_diagram" />
          below).  The model shows tht when a calcium buffering system such as calmodulin is included, calcium oscillations can arise without a permanent influx of calium into the cell.
        </para>
        <para>
          The model has been described here in CellML (the raw CellML description of the Marhl
          <emphasis>et al.</emphasis>
          1997 model can be downloaded in various formats as described in
          <xref linkend="sec_download_this_model" />
          ).
        </para>
        <para>The complete original paper reference is cited below:</para>
        <para>
          Modelling the interellations between calcium oscillations and ER membrane potential oscillations, Marko Marhl, Stefan Schuster, Milan Brumen, and Reinhart Heinrich, 1997,
          <emphasis>Biophysical Chemistry</emphasis>
          , 63, 221-239.
          <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=12362939&amp;dopt=Abstract">PubMed ID: 12362939</ulink>
        </para>
        <informalfigure float="0" id="fig_cell_diagram">
          <mediaobject>
            <imageobject>
              <objectinfo>
                <title>cell diagram</title>
              </objectinfo>
              <imagedata fileref="marhl_1997.png" />
            </imageobject>
          </mediaobject>
          <caption>Schematic diagram of the model system.</caption>
        </informalfigure>
      </sect1>
    </article>
  </documentation>
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    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#potential_difference.A_tot">
      <dcterms:description>total cellular anion concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#model_parameters.Pr_tot">
      <dcterms:description>concentration of total protein calcium-binding sites</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cytosolic_calcium.J_pump">
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      </semsim:isComputationalComponentFor>
      <dcterms:description>ATP-dependent calcium uptake flux from cytosol into endoplasmic reticulum</dcterms:description>
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      <dcterms:description>ATP-dependent calcium uptake flux from cytosol into endoplasmic reticulum</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#leak_flux.E_Ca">
      <dcterms:description>calcium reversal potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#ER_calcium.Ca_cyt">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_14">
          <semsim:physicalPropertyOf rdf:resource="#entity_2" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of cytosolic calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#free_protein_calcium_binding_sites.CaPr">
      <dcterms:description>concentration of calcium-bound protein</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#calcium_reversal_potential.F">
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    </rdf:Description>
    <rdf:Description rdf:about="#free_protein_calcium_binding_sites.Pr">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_1">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
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        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of free protein calcium-binding sites</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#calcium_reversal_potential.Ca_ER">
      <dcterms:description>concentration of calcium in the endoplasmic reticulum</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#potential_difference.delta_psi">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_15">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>potential difference</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#ER_calcium.rho">
      <dcterms:description>volume ratio between endoplasmic reticulum and cytosolic compartment</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#ER_calcium.Ca_tot">
      <dcterms:description>total concentration of cellular calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#ER_calcium.Ca_ER">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_10">
          <semsim:physicalPropertyOf>
            <rdf:Description rdf:about="#entity_3">
              <ro:part_of>
                <rdf:Description rdf:about="#entity_4">
                  <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/fma/FMA:63842" />
                </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 calcium in the endoplasmic reticulum</dcterms:description>
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    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#flux_through_the_channels.F">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00089" />
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#potential_difference.Pr">
      <dcterms:description>concentration of free protein calcium-binding sites</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cytosolic_calcium.k_plus">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
      <dcterms:description>binding rate constant of calcium to protein</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#flux_through_the_channels.Vcyt">
      <dcterms:description>volume of cytosol</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#free_protein_calcium_binding_sites.Pr_tot">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_2">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of total protein calcium-binding sites</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#potential_difference.R">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
    </rdf:Description>
    <rdf:Description rdf:about="#flux_through_the_channels.g_Ca_max">
      <dcterms:description>maximal endoplasmic reticulum membrane conductance per unit area</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cytosolic_calcium.CaPr">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_6">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of calcium-bound protein</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#potential_difference.T">
      <dcterms:description>absolute temperature</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#flux_through_the_channels.Ca_cyt">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_31">
          <semsim:physicalPropertyOf rdf:resource="#entity_2" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of cytosolic calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#potential_difference.C_tot">
      <dcterms:description>total cellular cation concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#leak_flux.J_leak">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_34">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium leak flux from endoplasmic reticulum into the cytosol</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#free_protein_calcium_binding_sites.Ca_cyt">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_3">
          <semsim:physicalPropertyOf rdf:resource="#entity_2" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of cytosolic calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#cytosolic_calcium.Pr">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_5">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of free protein calcium-binding sites</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#potential_difference.A_tot">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_20">
          <semsim:physicalPropertyOf>
            <rdf:Description rdf:about="#entity_6">
              <ro:part_of rdf:resource="#entity_1" />
              <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:22563" />
            </rdf:Description>
          </semsim:physicalPropertyOf>
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>total cellular anion concentration</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#flux_through_the_channels.K_Ca">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_27">
          <semsim:physicalPropertyOf rdf:resource="#entity_2" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium half-saturation constant</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#flux_through_the_channels.g_Ca">
      <dcterms:description>endoplasmic reticulum membrane calcium conductance</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#free_protein_calcium_binding_sites.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#flux_through_the_channels.E_Ca">
      <dcterms:description>calcium reversal potential</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_reversal_potential.R">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#potential_difference.Ca_cyt">
      <dcterms:description>concentration of cytosolic calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#model_parameters.rho">
      <dcterms:description>volume ratio between endoplasmic reticulum and cytosolic compartment</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#free_protein_calcium_binding_sites.Pr_tot">
      <dcterms:description>concentration of total protein calcium-binding sites</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#flux_through_the_channels.S">
      <dcterms:description>endoplasmic reticulum surface area</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#cytosolic_calcium.J_ch">
      <dcterms:description>calcium channel release flux from endoplasmic reticulum into the cytosol</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#environment.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#potential_difference.rho">
      <dcterms:description>volume ratio between endoplasmic reticulum and cytosolic compartment</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#free_protein_calcium_binding_sites.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#ER_calcium.Pr">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_12">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of free protein calcium-binding sites</dcterms:description>
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    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#free_protein_calcium_binding_sites.k_minus">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
      <dcterms:description>dissociation rate constant of calcium from protein</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_reversal_potential.Ca_ER">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_25">
          <semsim:physicalPropertyOf rdf:resource="#entity_3" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of calcium in the endoplasmic reticulum</dcterms:description>
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      <dcterms:description>potential difference</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#environment.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#flux_through_the_channels.g_Ca_max">
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      <dcterms:description>concentration of free protein calcium-binding sites</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#model_parameters.R">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
    </rdf:Description>
    <rdf:Description rdf:about="marhl_schuster_brumen_heinrich_1997.cellml#calcium_reversal_potential.Ca_cyt">
      <dcterms:description>concentration of cytosolic calcium</dcterms:description>
    </rdf:Description>
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    <rdf:Description rdf:about="#calcium_pump.Ca_cyt">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_33">
          <semsim:physicalPropertyOf rdf:resource="#entity_2" />
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      </semsim:isComputationalComponentFor>
      <dcterms:description>concentration of cytosolic calcium</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#calcium_reversal_potential.T">
      <dcterms:description>absolute temperature</dcterms:description>
    </rdf:Description>
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      <dcterms:description>ATP-dependent calcium uptake flux from cytosol into endoplasmic reticulum</dcterms:description>
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    <rdf:Description rdf:about="#calcium_pump.k_pump">
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    </rdf:Description>
    <rdf:Description rdf:about="#potential_difference.Pr">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_22">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
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    <rdf:Description rdf:about="#leak_flux.E_Ca">
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      </semsim:isComputationalComponentFor>
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      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_19">
          <semsim:physicalPropertyOf>
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        <rdf:Description rdf:about="#property_32">
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    <rdf:Description rdf:about="#model_parameters.k_minus">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
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          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
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</model>