- Author:
- neilstephen2001 <npar276@aucklanduni.ac.nz>
- Date:
- 2021-01-24 21:37:35+13:00
- Desc:
- adding OMEX archives to workspace
- Permanent Source URI:
- http://models.cellml.org/workspace/7f1/rawfile/110f9ba31e34b7499c8d02e13a6b9984351c0e8f/gall_susa_1999_b/model/gall_susa_1999_b.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="gall_susa_1999_b" cmeta:id="gall_1999">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Na/Ca Exchange in Models for 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 represents Model II from the published paper. The CellML matches the published equations and the model runs in OpenCell and COR but it does not replicate the published results.</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>ABSTRACT: In the presence of an insulinotropic glucose concentration, beta-cells, in intact pancreatic islets, exhibit periodic bursting electrical activity consisting of an alternation of active and silent phases. The fraction of time spent in the active phase over a period is called the plateau fraction and is correlated with the rate of insulin release. However, the mechanisms that regulate the plateau fraction remain unclear. In this paper we investigate the possible role of the plasma membrane Na+/Ca2+ exchange of the beta-cell in controlling the plateau fraction. We have extended different single-cell models to incorporate this Ca2+-activated electrogenic Ca2+ transporter. We find that the Na+/Ca2+ exchange can provide a physiological mechanism to increase the plateau fraction as the glucose concentration is raised. In addition, we show theoretically that the Na+/Ca2+ exchanger is a key regulator of the cytoplasmic calcium concentration in clusters of heterogeneous cells with gap-junctional electrical coupling.</para>
<para>The original paper reference is cited below:</para>
<para>
Effect of Na/Ca Exchange on Plateau Fraction and [Ca
<superscript>2+</superscript>
]
<subscript>i</subscript>
in Models for Bursting in Pancreatic Beta-Cells, David Gall and Isabella Susa, 1999,
<emphasis>Biophysical Journal</emphasis>
, 77, 45-53.
<ulink url="http://www.ncbi.nlm.nih.gov/pubmed/10388739">PubMed ID: 10388739</ulink>
</para>
</sect1>
</article>
</documentation>
<units name="millisecond">
<unit prefix="milli" units="second" />
</units>
<units name="picoS">
<unit prefix="pico" units="siemens" />
</units>
<units name="millimolar">
<unit prefix="milli" units="mole" />
<unit exponent="-1.0" units="litre" />
</units>
<units name="millivolt">
<unit prefix="milli" units="volt" />
</units>
<units name="per_millisecond">
<unit exponent="-1.0" units="millisecond" />
</units>
<units name="picoA">
<unit prefix="pico" units="ampere" />
</units>
<units name="femtoF">
<unit prefix="femto" units="farad" />
</units>
<units name="mole_per_microlitre_coulomb">
<unit units="mole" />
<unit exponent="-1.0" units="coulomb" />
<unit exponent="-1.0" prefix="micro" units="litre" />
</units>
<units name="micromolar">
<unit prefix="micro" units="mole" />
<unit exponent="-1.0" units="litre" />
</units>
<component name="environment">
<variable cmeta:id="environment.time" name="time" public_interface="out" units="millisecond" />
</component>
<component name="membrane">
<variable cmeta:id="membrane.V" initial_value="-76.0" name="V" public_interface="out" units="millivolt" />
<variable cmeta:id="membrane.Cm" initial_value="5310.0" name="Cm" units="femtoF" />
<variable cmeta:id="membrane.time" name="time" public_interface="in" units="millisecond" />
<variable cmeta:id="membrane.i_Ca" name="i_Ca" public_interface="in" units="picoA" />
<variable cmeta:id="membrane.i_K" name="i_K" public_interface="in" units="picoA" />
<variable cmeta:id="membrane.i_slow" name="i_slow" public_interface="in" units="picoA" />
<variable cmeta:id="membrane.i_Na_Ca" name="i_Na_Ca" public_interface="in" units="picoA" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="membrane_voltage_diff_eq">
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<divide />
<apply>
<minus />
<apply>
<plus />
<ci>i_K</ci>
<ci>i_Ca</ci>
<ci>i_slow</ci>
<ci>i_Na_Ca</ci>
</apply>
</apply>
<ci>Cm</ci>
</apply>
</apply>
</math>
</component>
<component name="rapidly_activating_K_current">
<variable cmeta:id="rapidly_activating_K_current.i_K" name="i_K" public_interface="out" units="picoA" />
<variable cmeta:id="rapidly_activating_K_current.V_K" initial_value="-75.0" name="V_K" public_interface="out" units="millivolt" />
<variable cmeta:id="rapidly_activating_K_current.g_K" initial_value="2700.0" name="g_K" units="picoS" />
<variable cmeta:id="rapidly_activating_K_current.time" name="time" public_interface="in" private_interface="out" units="millisecond" />
<variable cmeta:id="rapidly_activating_K_current.V" name="V" public_interface="in" private_interface="out" units="millivolt" />
<variable cmeta:id="rapidly_activating_K_current.n" name="n" private_interface="in" units="dimensionless" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_K_calculation">
<eq />
<ci>i_K</ci>
<apply>
<times />
<ci>g_K</ci>
<ci>n</ci>
<apply>
<minus />
<ci>V</ci>
<ci>V_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapidly_activating_K_current_n_gate">
<variable cmeta:id="rapidly_activating_K_current_n_gate.n" initial_value="0.1" name="n" public_interface="out" units="dimensionless" />
<variable cmeta:id="rapidly_activating_K_current_n_gate.n_infinity" name="n_infinity" units="dimensionless" />
<variable cmeta:id="rapidly_activating_K_current_n_gate.lamda" initial_value="1.0" name="lamda" units="dimensionless" />
<variable cmeta:id="rapidly_activating_K_current_n_gate.tau_n" initial_value="20.0" name="tau_n" units="millisecond" />
<variable cmeta:id="rapidly_activating_K_current_n_gate.V_n" initial_value="-16.0" name="V_n" units="millivolt" />
<variable cmeta:id="rapidly_activating_K_current_n_gate.S_n" initial_value="5.6" name="S_n" units="millivolt" />
<variable cmeta:id="rapidly_activating_K_current_n_gate.V" name="V" public_interface="in" units="millivolt" />
<variable cmeta:id="rapidly_activating_K_current_n_gate.time" name="time" public_interface="in" units="millisecond" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="n_diff_eq">
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>n</ci>
</apply>
<apply>
<times />
<ci>lamda</ci>
<apply>
<divide />
<apply>
<minus />
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<ci>n</ci>
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</apply>
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</apply>
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<apply>
<plus />
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<apply>
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<minus />
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<ci>V</ci>
</apply>
<ci>S_n</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_current">
<variable cmeta:id="calcium_current.i_Ca" name="i_Ca" public_interface="out" units="picoA" />
<variable cmeta:id="calcium_current.V_Ca" initial_value="25.0" name="V_Ca" units="millivolt" />
<variable cmeta:id="calcium_current.g_Ca" initial_value="1000.0" name="g_Ca" units="picoS" />
<variable cmeta:id="calcium_current.time" name="time" public_interface="in" private_interface="out" units="millisecond" />
<variable cmeta:id="calcium_current.V" name="V" public_interface="in" private_interface="out" units="millivolt" />
<variable cmeta:id="calcium_current.m_infinity" name="m_infinity" private_interface="in" units="dimensionless" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Ca_calculation">
<eq />
<ci>i_Ca</ci>
<apply>
<times />
<ci>g_Ca</ci>
<ci>m_infinity</ci>
<apply>
<minus />
<ci>V</ci>
<ci>V_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_current_m_gate">
<variable cmeta:id="calcium_current_m_gate.m_infinity" name="m_infinity" public_interface="out" units="dimensionless" />
<variable cmeta:id="calcium_current_m_gate.V_m" initial_value="-20.0" name="V_m" units="millivolt" />
<variable cmeta:id="calcium_current_m_gate.S_m" initial_value="12.0" name="S_m" units="millivolt" />
<variable cmeta:id="calcium_current_m_gate.V" name="V" public_interface="in" units="millivolt" />
<variable cmeta:id="calcium_current_m_gate.time" name="time" public_interface="in" units="millisecond" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="m_infinity_calculation">
<eq />
<ci>m_infinity</ci>
<apply>
<divide />
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<apply>
<plus />
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<apply>
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</apply>
<ci>S_m</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_K_current">
<variable cmeta:id="slow_K_current.i_slow" name="i_slow" public_interface="out" units="picoA" />
<variable cmeta:id="slow_K_current.g_s" initial_value="200.0" name="g_s" units="picoS" />
<variable cmeta:id="slow_K_current.V_K" name="V_K" public_interface="in" units="millivolt" />
<variable cmeta:id="slow_K_current.time" name="time" public_interface="in" private_interface="out" units="millisecond" />
<variable cmeta:id="slow_K_current.V" name="V" public_interface="in" private_interface="out" units="millivolt" />
<variable cmeta:id="slow_K_current.s" name="s" private_interface="in" units="dimensionless" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_slow_calculation">
<eq />
<ci>i_slow</ci>
<apply>
<times />
<ci>g_s</ci>
<ci>s</ci>
<apply>
<minus />
<ci>V</ci>
<ci>V_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_K_current_s_gate">
<variable cmeta:id="slow_K_current_s_gate.s" initial_value="0.1" name="s" public_interface="out" units="dimensionless" />
<variable cmeta:id="slow_K_current_s_gate.s_infinity" name="s_infinity" units="dimensionless" />
<variable cmeta:id="slow_K_current_s_gate.tau_s" initial_value="12000.0" name="tau_s" units="millisecond" />
<variable cmeta:id="slow_K_current_s_gate.V_s" initial_value="-52.0" name="V_s" units="millivolt" />
<variable cmeta:id="slow_K_current_s_gate.S_s" initial_value="10.0" name="S_s" units="millivolt" />
<variable cmeta:id="slow_K_current_s_gate.R_s" initial_value="0.58" name="R_s" units="dimensionless" />
<variable cmeta:id="slow_K_current_s_gate.S_V_R_s" name="S_V_R_s" units="dimensionless" />
<variable cmeta:id="slow_K_current_s_gate.V" name="V" public_interface="in" units="millivolt" />
<variable cmeta:id="slow_K_current_s_gate.time" name="time" public_interface="in" units="millisecond" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="s_diff_eq">
<eq />
<apply>
<diff />
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<ci>time</ci>
</bvar>
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</apply>
<apply>
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<minus />
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<ci>s</ci>
</apply>
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</apply>
</apply>
<apply id="S_V_R_s_calculation">
<eq />
<ci>S_V_R_s</ci>
<apply>
<plus />
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</apply>
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</apply>
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</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Na_Ca_exchanger_current">
<variable cmeta:id="Na_Ca_exchanger_current.i_Na_Ca" name="i_Na_Ca" public_interface="out" units="picoA" />
<variable cmeta:id="Na_Ca_exchanger_current.g_Na_Ca" initial_value="350.0" name="g_Na_Ca" units="picoS" />
<variable cmeta:id="Na_Ca_exchanger_current.K_1_2" initial_value="1.5" name="K_1_2" units="micromolar" />
<variable cmeta:id="Na_Ca_exchanger_current.V_Na_Ca" name="V_Na_Ca" units="millivolt" />
<variable cmeta:id="Na_Ca_exchanger_current.RT_F" initial_value="26.54" name="RT_F" units="millivolt" />
<variable cmeta:id="Na_Ca_exchanger_current.nH" initial_value="5.0" name="nH" units="dimensionless" />
<variable cmeta:id="Na_Ca_exchanger_current.time" name="time" public_interface="in" units="millisecond" />
<variable cmeta:id="Na_Ca_exchanger_current.V" name="V" public_interface="in" units="millivolt" />
<variable cmeta:id="Na_Ca_exchanger_current.Ca_i" name="Ca_i" public_interface="in" units="micromolar" />
<variable cmeta:id="Na_Ca_exchanger_current.Ca_o" name="Ca_o" public_interface="in" units="micromolar" />
<variable cmeta:id="Na_Ca_exchanger_current.Na_i" name="Na_i" public_interface="in" units="millimolar" />
<variable cmeta:id="Na_Ca_exchanger_current.Na_o" name="Na_o" public_interface="in" units="millimolar" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<apply>
<times />
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<apply>
<divide />
<apply>
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<ci>nH</ci>
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<apply>
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<apply>
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</apply>
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</apply>
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<apply>
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<apply>
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<apply>
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<apply>
<ln />
<apply>
<divide />
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<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ionic_concentrations">
<variable cmeta:id="ionic_concentrations.Ca_i" initial_value="0.52" name="Ca_i" public_interface="out" units="micromolar" />
<variable cmeta:id="ionic_concentrations.Ca_o" initial_value="2600.0" name="Ca_o" public_interface="out" units="micromolar" />
<variable cmeta:id="ionic_concentrations.Na_i" initial_value="10.0" name="Na_i" public_interface="out" units="millimolar" />
<variable cmeta:id="ionic_concentrations.Na_o" initial_value="140.0" name="Na_o" public_interface="out" units="millimolar" />
<variable cmeta:id="ionic_concentrations.Ca_ret" initial_value="0.7" name="Ca_ret" units="micromolar" />
<variable cmeta:id="ionic_concentrations.f" initial_value="0.02" name="f" units="dimensionless" />
<variable cmeta:id="ionic_concentrations.k_Ca" initial_value="0.64" name="k_Ca" units="per_millisecond" />
<variable cmeta:id="ionic_concentrations.k_rel" initial_value="0.0006" name="k_rel" units="per_millisecond" />
<variable cmeta:id="ionic_concentrations.k_pump" initial_value="0.2" name="k_pump" units="per_millisecond" />
<variable cmeta:id="ionic_concentrations.alpha" initial_value="0.00006" name="alpha" units="mole_per_microlitre_coulomb" />
<variable cmeta:id="ionic_concentrations.time" name="time" public_interface="in" units="millisecond" />
<variable cmeta:id="ionic_concentrations.i_Ca" name="i_Ca" public_interface="in" units="picoA" />
<variable cmeta:id="ionic_concentrations.i_Na_Ca" name="i_Na_Ca" public_interface="in" units="picoA" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Ca_i_diff_eq">
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<apply>
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<apply>
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</component>
<group>
<relationship_ref relationship="encapsulation" />
<component_ref component="rapidly_activating_K_current">
<component_ref component="rapidly_activating_K_current_n_gate" />
</component_ref>
<component_ref component="calcium_current">
<component_ref component="calcium_current_m_gate" />
</component_ref>
<component_ref component="slow_K_current">
<component_ref component="slow_K_current_s_gate" />
</component_ref>
</group>
<connection>
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<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components component_1="slow_K_current" component_2="slow_K_current_s_gate" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
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<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="membrane" component_2="calcium_current" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components component_1="rapidly_activating_K_current_n_gate" component_2="rapidly_activating_K_current" />
<map_variables variable_1="n" variable_2="n" />
</connection>
<connection>
<map_components component_1="environment" component_2="slow_K_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="slow_K_current_s_gate" component_2="slow_K_current" />
<map_variables variable_1="s" variable_2="s" />
</connection>
<connection>
<map_components component_1="calcium_current" component_2="membrane" />
<map_variables variable_1="i_Ca" variable_2="i_Ca" />
</connection>
<connection>
<map_components component_1="environment" component_2="ionic_concentrations" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="environment" component_2="Na_Ca_exchanger_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="calcium_current" component_2="ionic_concentrations" />
<map_variables variable_1="i_Ca" variable_2="i_Ca" />
</connection>
<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<connection>
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<dcterms:description>membrane potential</dcterms:description>
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<dcterms:description>fraction of free cytoplasmic calcium</dcterms:description>
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<dcterms:description>rate of calcium pumping into the endoplasmic reticulum</dcterms:description>
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<rdf:Description rdf:about="gall_susa_1999_b.cellml#calcium_current.g_Ca">
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</semsim:isComputationalComponentFor>
<dcterms:description>membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#rapidly_activating_K_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="gall_susa_1999_b.cellml#slow_K_current_s_gate.s">
<dcterms:description>slow inhibitory potassium channel activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#calcium_current_m_gate.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#membrane.i_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_1">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>L-type calcium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#calcium_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.nH">
<dcterms:description>Hill coefficient of sodium-calcium exchanger current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.Ca_i">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_18">
<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 cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#Na_Ca_exchanger_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#ionic_concentrations.Ca_o">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_23">
<semsim:physicalPropertyOf rdf:resource="#entity_2" />
<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="gall_susa_1999_b.cellml#gall_1999" bqmodel:isDescribedBy="10388739" />
<rdf:Description rdf:about="#membrane.Cm">
<dcterms:description>membrane capacitance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#rapidly_activating_K_current.i_K">
<dcterms:description>delayed rectifier potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#membrane.i_Na_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_4">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>sodium-calcium exchanger current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#calcium_current_m_gate.S_m">
<dcterms:description>saturation potential of M-gate calcium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#rapidly_activating_K_current.V_K">
<dcterms:description>potassium reversal potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#Na_Ca_exchanger_current.V">
<dcterms:description>membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.V_Na_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_16">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>reversal potential of sodium-calcium exchanger</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#Na_Ca_exchanger_current.Ca_i">
<bqbiol:isPropertyOf rdf:resource="gall_susa_1999_b.cellml#entity_0" />
<dcterms:description>concentration of free cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#ionic_concentrations.Na_i">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_24">
<semsim:physicalPropertyOf>
<rdf:Description rdf:about="#entity_4">
<ro:part_of rdf:resource="#entity_1" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:29101" />
</rdf:Description>
</semsim:physicalPropertyOf>
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of free cytosolic sodium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#ionic_concentrations.Na_o">
<bqbiol:isPropertyOf rdf:resource="gall_susa_1999_b.cellml#entity_2" />
<dcterms:description>concentration of extracellular sodium</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="#rapidly_activating_K_current.g_K">
<dcterms:description>rapid potassium current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#ionic_concentrations.i_Na_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_28">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>sodium-calcium exchanger current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#rapidly_activating_K_current.V">
<dcterms:description>membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#gall_1999" semsim:modelName="gall_1999" bqmodel:isDescribedBy="10388739">
<semsim:unknown>Pancreatic Beta-Cell</semsim:unknown>
<semsim:unknown>The Gall and Susa 1999 model of Na/Ca exchange in Model II for pancreatic beta-cells.</semsim:unknown>
<semsim:modelName>gall_susa_1999_b</semsim:modelName>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.Na_o">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_21">
<semsim:physicalPropertyOf rdf:resource="#entity_5" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of extracellular sodium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#Na_Ca_exchanger_current.K_1_2">
<bqbiol:isPropertyOf rdf:resource="gall_susa_1999_b.cellml#entity_0" />
<dcterms:description>calcium half-saturation constant of the sodium-calcium exchanger</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.g_Na_Ca">
<dcterms:description>maximum sodium-calcium exchanger current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#slow_K_current_s_gate.V_s">
<dcterms:description>half-maximal activation potential of slow inhibitory potassium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#calcium_current.V_Ca">
<dcterms:description>calcium reversal potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#rapidly_activating_K_current.n">
<dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.K_1_2">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_15">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium half-saturation constant of the sodium-calcium exchanger</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#calcium_current.m_infinity">
<dcterms:description>steady state function of calcium channel activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#ionic_concentrations.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#calcium_current.i_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_8">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>L-type calcium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#calcium_current_m_gate.V">
<dcterms:description>membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#membrane.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#rapidly_activating_K_current.V_K">
<dcterms:description>potassium reversal potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#membrane.i_K">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_2">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>delayed rectifier potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#rapidly_activating_K_current_n_gate.n">
<dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#calcium_current.V">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_9">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.V">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_17">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#rapidly_activating_K_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#calcium_current.m_infinity">
<dcterms:description>steady state function of calcium channel activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#ionic_concentrations.f">
<dcterms:description>fraction of free cytoplasmic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#rapidly_activating_K_current_n_gate.V">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_7">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#membrane.i_Na_Ca">
<dcterms:description>sodium-calcium exchanger current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#environment.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#rapidly_activating_K_current_n_gate.S_n">
<dcterms:description>saturation potential of delayed rectifier potassium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#ionic_concentrations.i_Na_Ca">
<dcterms:description>sodium-calcium exchanger current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#slow_K_current_s_gate.tau_s">
<dcterms:description>activation time constant of slow inhibitory potassium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#slow_K_current.i_slow">
<dcterms:description>slow inhibitory potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#rapidly_activating_K_current.i_K">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_5">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>delayed rectifier potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_Ca_exchanger_current.Na_i">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_20">
<semsim:physicalPropertyOf rdf:resource="#entity_4" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of free cytosolic sodium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#ionic_concentrations.Na_i">
<bqbiol:isPropertyOf rdf:resource="gall_susa_1999_b.cellml#entity_0" />
<dcterms:description>concentration of free cytosolic sodium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#ionic_concentrations.k_pump">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>rate of calcium pumping into the endoplasmic reticulum</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="gall_susa_1999_b.cellml#rapidly_activating_K_current.g_K">
<dcterms:description>rapid potassium current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#slow_K_current_s_gate.s">
<dcterms:description>slow inhibitory potassium channel activation variable</dcterms:description>
</rdf:Description>
</rdf:RDF>
</model>
