Location: Calcium Dynamics Annotations @ b24005e7fdb5 / colegrove_albrecht_friel_2000 / model / colegrove_albrecht_friel_2000-BN368170.cellml

Author:
neilstephen2001 <npar276@aucklanduni.ac.nz>
Date:
2021-01-24 22:25:06+13:00
Desc:
adding OMEX archives to workspace
Permanent Source URI:
https://models.cellml.org/workspace/7f1/rawfile/b24005e7fdb523ed7a40bb482604b2d30e7b4020/colegrove_albrecht_friel_2000/model/colegrove_albrecht_friel_2000-BN368170.cellml

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<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="colegrove_albrecht_friel_2000" cmeta:id="colegrove_albrecht_friel_2000_version01">
  <documentation xmlns="http://cellml.org/tmp-documentation">
    <article>
      <articleinfo>
        <title>Quantitative Analysis Of Mitochondrial Ca2+ Uptake And Release Pathways In Sympathetic Neurons</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 model can not be solved as it is unsuitably constrained.</para>
        <para>ValidateCellML verifies this model as valid CellML with consistent units.</para>
      </section>
      <sect1 id="sec_structure">
        <title>Model Structure</title>
        <para>
          One of the central goals in the study of calcium signalling is to understand the basis of [Ca
          <superscript>2+</superscript>
          ] dynamics.  This is complicated by the fact that Ca
          <superscript>2+</superscript>
          is present in several membrane-bound intracellular compartments, each of which uses a distinct Ca
          <superscript>2+</superscript>
          transport system and the rate of Ca
          <superscript>2+</superscript>
          transport between these compartments can exhibit a complex non-linear dependence on free [Ca
          <superscript>2+</superscript>
          ].
        </para>
        <para>
          In their 2000 model, Stephen L. Colegrove, Meredith A. Albrecht and David D. Friel have studied how mitochondrial Ca
          <superscript>2+</superscript>
          transport contributes to the redistribution of intracellular Ca
          <superscript>2+</superscript>
          during and after depolarisation-evoked Ca
          <superscript>2+</superscript>
          entry in sympathetic neurons.  The total Ca
          <superscript>2+</superscript>
          flux during the recovery phase following membrane depolarisation was divided into three components (see
          <xref linkend="fig_cell_diagram" />
          below): one representing net Ca
          <superscript>2+</superscript>
          extrusion across the plasma membrane (J
          <subscript>extru</subscript>
          ), one representing mitochondrial Ca
          <superscript>2+</superscript>
          uptake via the uniporter (J
          <subscript>uni</subscript>
          ) and one representing mitochondrial Ca
          <superscript>2+</superscript>
          release via the Na
          <superscript>+</superscript>
          /Ca
          <superscript>2+</superscript>
          exchanger (J
          <subscript>NaCa</subscript>
          ).  This mathematical model has been translated into a CellML description which 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>
          Quantitative Analysis of Mitochondrial Ca
          <superscript>2+</superscript>
          Uptake and Release Pathways in Sympathetic Neurons
          <emphasis>
            Reconstruction of the Recovery after Depolarisation-evoked [Ca
            <superscript>2+</superscript>
            ] Elevations
          </emphasis>
          , Stephen L. Colegrove, Meredith A. Albrecht and David D. Friel, 2000,
          <emphasis>The Journal Of General Physiology</emphasis>
          , 115, 371-388.
          <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=10694264&amp;dopt=Abstract">PubMed ID: 10694264</ulink>
        </para>
        <informalfigure float="0" id="fig_cell_diagram">
          <mediaobject>
            <imageobject>
              <objectinfo>
                <title>cell schematic for the model</title>
              </objectinfo>
              <imagedata fileref="colegrove_2000.png" />
            </imageobject>
          </mediaobject>
          <caption>
            Schematic of the model indicating Ca
            <superscript>2+</superscript>
            compartmentalization in the extracellular matrix, cytosol and the mitochondrial matrix and pathways for Ca
            <superscript>2+</superscript>
            ion movement between the compartments.
          </caption>
        </informalfigure>
      </sect1>
    </article>
  </documentation>
  <units name="micromolar_per_second">
    <unit exponent="-1.0" units="second" />
    <unit units="micromolar" />
  </units>
  <units name="nanomolar">
    <unit prefix="nano" units="mole" />
    <unit exponent="-1.0" units="litre" />
  </units>
  <units name="micro_litre">
    <unit prefix="micro" units="litre" />
  </units>
  <units name="per_second">
    <unit exponent="-1.0" units="second" />
  </units>
  <units name="micromolar">
    <unit prefix="micro" units="mole" />
    <unit exponent="-1.0" units="litre" />
  </units>
  <units name="nanomolar_per_second">
    <unit units="nanomolar" />
    <unit exponent="-1.0" units="second" />
  </units>
  <units name="millivolt">
    <unit prefix="milli" units="volt" />
  </units>
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    <variable cmeta:id="environment.time" name="time" public_interface="out" units="second" />
  </component>
  <component name="Ca_extrusion_across_the_plasma_membrane" cmeta:id="submodel_1">
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.J_pm" name="J_pm" public_interface="out" units="nanomolar_per_second" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.J_leak" name="J_leak" units="nanomolar_per_second" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.J_extru" name="J_extru" units="nanomolar_per_second" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.k_leak" initial_value="0.00000037" name="k_leak" units="per_second" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.Vmax_extru" initial_value="28.3" name="Vmax_extru" units="nanomolar_per_second" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.EC50_extru" initial_value="378.8" name="EC50_extru" units="nanomolar" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.n_extru" initial_value="1.8" name="n_extru" units="dimensionless" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.Ca_o" initial_value="0.002" name="Ca_o" units="nanomolar" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.Ca_i" name="Ca_i" public_interface="in" units="nanomolar" />
    <variable cmeta:id="Ca_extrusion_across_the_plasma_membrane.time" name="time" public_interface="in" units="second" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="J_pm_calculation">
        <eq />
        <ci>J_pm</ci>
        <apply>
          <plus />
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        </apply>
      </apply>
      <apply id="J_leak_calculation">
        <eq />
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          <times />
          <ci>k_leak</ci>
          <apply>
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      </apply>
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            <plus />
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              </apply>
              <ci>n_extru</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="mitochondrial_Ca_uptake" cmeta:id="submodel_2">
    <variable cmeta:id="mitochondrial_Ca_uptake.J_uni" name="J_uni" public_interface="out" units="nanomolar_per_second" />
    <variable cmeta:id="mitochondrial_Ca_uptake.kuni_max" initial_value="75.9" name="kuni_max" units="per_second" />
    <variable cmeta:id="mitochondrial_Ca_uptake.EC50_uni" initial_value="10.0" name="EC50_uni" units="micromolar" />
    <variable cmeta:id="mitochondrial_Ca_uptake.n_uni" initial_value="2.0" name="n_uni" units="dimensionless" />
    <variable cmeta:id="mitochondrial_Ca_uptake.Ca_i" name="Ca_i" public_interface="in" units="nanomolar" />
    <variable cmeta:id="mitochondrial_Ca_uptake.time" name="time" public_interface="in" units="second" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
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        </apply>
      </apply>
    </math>
  </component>
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    <variable cmeta:id="mitochondrial_Ca_release.J_NaCa" name="J_NaCa" public_interface="out" units="nanomolar_per_second" />
    <variable cmeta:id="mitochondrial_Ca_release.Ca_inhibited_J_NaCa" name="Ca_inhibited_J_NaCa" public_interface="out" units="nanomolar_per_second" />
    <variable cmeta:id="mitochondrial_Ca_release.J_mito" name="J_mito" public_interface="out" units="nanomolar_per_second" />
    <variable cmeta:id="mitochondrial_Ca_release.Vmax_NaCa" initial_value="-35.0" name="Vmax_NaCa" units="nanomolar_per_second" />
    <variable cmeta:id="mitochondrial_Ca_release.EC50_NaCa" initial_value="307.0" name="EC50_NaCa" units="nanomolar" />
    <variable cmeta:id="mitochondrial_Ca_release.n_inhib" initial_value="6.0" name="n_inhib" units="dimensionless" />
    <variable cmeta:id="mitochondrial_Ca_release.k_inhib" initial_value="500.0" name="k_inhib" units="nanomolar" />
    <variable cmeta:id="mitochondrial_Ca_release.delta_Ca_i" name="delta_Ca_i" units="dimensionless" />
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    <variable cmeta:id="mitochondrial_Ca_release.Ca_i" name="Ca_i" public_interface="in" units="nanomolar" />
    <variable cmeta:id="mitochondrial_Ca_release.Ca_m" name="Ca_m" public_interface="in" units="nanomolar" />
    <variable cmeta:id="mitochondrial_Ca_release.time" name="time" public_interface="in" units="second" />
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      <apply id="J_NaCa_calculation">
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        </apply>
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        <apply>
          <divide />
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            <apply>
              <times />
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          </apply>
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            </apply>
          </apply>
        </apply>
      </apply>
      <apply id="delta_Ca_i_calculation">
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                <power />
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            </apply>
          </apply>
        </apply>
      </apply>
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        <eq />
        <ci>J_mito</ci>
        <apply>
          <plus />
          <ci>J_uni</ci>
          <ci>J_NaCa</ci>
        </apply>
      </apply>
    </math>
  </component>
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    <variable cmeta:id="intracellular_calcium.Ca_i" name="Ca_i" public_interface="out" units="nanomolar" />
    <variable cmeta:id="intracellular_calcium.J_pm" name="J_pm" public_interface="in" units="nanomolar_per_second" />
    <variable cmeta:id="intracellular_calcium.J_mito" name="J_mito" public_interface="in" units="nanomolar_per_second" />
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        </apply>
      </apply>
    </math>
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    <variable cmeta:id="mitochondrial_calcium.gamma" initial_value="2.0" name="gamma" units="dimensionless" />
    <variable cmeta:id="mitochondrial_calcium.v_m" name="v_m" units="micro_litre" />
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      </apply>
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                  <semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/fma/FMA:61807" />
                </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>intracellular calcium concentration at half-maximal uniporter activity</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="colegrove_albrecht_friel_2000.cellml#mitochondrial_Ca_release.time">
      <bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
    </rdf:Description>
    <rdf:Description rdf:about="#mitochondrial_Ca_release.J_NaCa">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_9">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium flux across sodium-calcium exchanger</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="colegrove_albrecht_friel_2000.cellml#mitochondrial_Ca_uptake.n_uni">
      <dcterms:description>Hill coefficient of uniporter</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#mitochondrial_Ca_release.J_uni">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_14">
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>calcium flux across uniporter</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="colegrove_albrecht_friel_2000.cellml#Ca_extrusion_across_the_plasma_membrane.J_extru">
      <dcterms:description>calcium flux out of cell through calcium extrusion</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="#Ca_extrusion_across_the_plasma_membrane.EC50_extru">
      <semsim:isComputationalComponentFor>
        <rdf:Description rdf:about="#property_3">
          <semsim:physicalPropertyOf rdf:resource="#entity_0" />
          <semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
        </rdf:Description>
      </semsim:isComputationalComponentFor>
      <dcterms:description>mitochondrial matrix calcium concentration at half-maximal extrusion</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="colegrove_albrecht_friel_2000.cellml#mitochondrial_Ca_release.Ca_m">
      <bqbiol:isPropertyOf rdf:resource="colegrove_albrecht_friel_2000.cellml#entity_0" />
      <dcterms:description>concentration of calcium in mitochondrial matrix</dcterms:description>
    </rdf:Description>
    <rdf:Description rdf:about="colegrove_albrecht_friel_2000.cellml#entity_9">
      <bqbiol:is rdf:resource="http://identifiers.org/fma/FMA:80137" />
    </rdf:Description>
    <rdf:Description rdf:about="colegrove_albrecht_friel_2000.cellml#Ca_extrusion_across_the_plasma_membrane.n_extru">
      <dcterms:description>coefficient of steepness of extrusion rate by intracellular calcium</dcterms:description>
    </rdf:Description>
  </rdf:RDF>
</model>