- Author:
- neilstephen2001 <npar276@aucklanduni.ac.nz>
- Date:
- 2021-01-25 18:50:11+13:00
- Desc:
- adding OMEX archives to workspace
- Permanent Source URI:
- https://models.cellml.org/workspace/7f1/rawfile/c5079f12eb1d8c164a111eea8277d5627c24a0b2/chay_1997/model/chay_1997.cellml
<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:semsim="http://www.bhi.washington.edu/SemSim#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" name="chay_1997" cmeta:id="chay_1997">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Extracellular And Intracellular Calcium Effects On Pancreatic Beta-Cells</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, The university of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>This CellML model runs in both OpenCell and COR to reproduce the published results. The value for the variable 'Ca_o' in the component 'calcium_current' can be altered to 0, 2.5, 5 or 7.5 mM to reproduce figures 5 a,b,c,d, respectively.</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>ABSTRACT: The extracellular calcium concentration has interesting effects on bursting of pancreatic beta-cells. The mechanism underlying the extracellular Ca2+ effect is not well understood. By incorporating a low-threshold transient inward current to the store-operated bursting model of Chay, this paper elucidates the role of the extracellular Ca2+ concentration in influencing electrical activity, intracellular Ca2+ concentration, and the luminal Ca2+ concentration in the intracellular Ca2+ store. The possibility that this inward current is a carbachol-sensitive and TTX-insensitive Na+ current discovered by others is discussed. In addition, this paper explains how these three variables respond when various pharmacological agents are applied to the store-operated model.</para>
<para>The original paper reference is cited below:</para>
<para>
Effects of extracellular Calcium on Electrical Bursting and Intracellular and Luminal Calcium Oscillations in Insulin Secreting Pancreatic Beta-Cells, Teresa Ree Chay, 1997,
<emphasis>Biophysical Journal</emphasis>
, 73, 1673-1688.
<ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=9284334&dopt=Abstract">PubMed ID: 9284334</ulink>
</para>
<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>diagram of the mitochondrial Ca2+ handling model</title>
</objectinfo>
<imagedata fileref="chay_1997.png" />
</imageobject>
</mediaobject>
<caption>
A schematic representation of the current and fluxes captured by the Chay 1997 pancreatic beta-cell model. This diagram shows the plasma membrane currents associated with burst and spike oscillations: the fast current, I
<subscript>fast</subscript>
; the calcium current, I
<subscript>
Ca
<superscript>2+</superscript>
</subscript>
; the cationic nonselective inward current, I
<subscript>NS</subscript>
; the delayed-rectifying K
<superscript>+</superscript>
current, I
<subscript>K(dr)</subscript>
, the calcium-sensitive K
<superscript>+</superscript>
current, I
<subscript>K(Ca)</subscript>
; the ATP-sensitive K
<superscript>+</superscript>
current, I
<subscript>K(ATP)</subscript>
; and the Na
<superscript>+</superscript>
leak current, I
<subscript>Na(L)</subscript>
. The ER intracellular Ca
<superscript>2+</superscript>
store is also shown with its associated transmembrane calcium fluxes: calcium release, J
<subscript>rel</subscript>
; and calcium uptake by the Ca
<superscript>2+</superscript>
-ATPase, J
<subscript>pump</subscript>
.
</caption>
</informalfigure>
</sect1>
</article>
</documentation>
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</component>
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<variable cmeta:id="calcium_current_i_Ca" name="i_Ca" public_interface="out" units="nanoA_per_cm2" />
<variable cmeta:id="calcium_current.K_Ca" initial_value="1" name="K_Ca" public_interface="out" private_interface="out" units="micromolar" />
<variable cmeta:id="calcium_current.P_Ca" initial_value="2" name="P_Ca" units="nanoA_per_micromolar_per_cm2" />
<variable cmeta:id="calcium_current.Ca_o" initial_value="2500" name="Ca_o" units="micromolar" />
<variable cmeta:id="calcium_current.R" name="R" public_interface="in" units="millijoule_per_mole_kelvin" />
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<variable cmeta:id="delayed_rectifier_K_channel_current_i_K_dr" name="i_K_dr" public_interface="out" units="nanoA_per_cm2" />
<variable cmeta:id="delayed_rectifier_K_channel_current.V_K" initial_value="-75" name="V_K" public_interface="out" units="millivolt" />
<variable cmeta:id="delayed_rectifier_K_channel_current.g_K_dr" initial_value="600" name="g_K_dr" units="microS_per_cm2" />
<variable cmeta:id="delayed_rectifier_K_channel_current.time" name="time" public_interface="in" private_interface="out" units="second" />
<variable cmeta:id="delayed_rectifier_K_channel_current.V" name="V" public_interface="in" private_interface="out" units="millivolt" />
<variable cmeta:id="delayed_rectifier_K_channel_current.n" name="n" private_interface="in" units="dimensionless" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>i_K_dr</ci>
<apply>
<times />
<ci>g_K_dr</ci>
<apply>
<power />
<ci>n</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
<apply>
<minus />
<ci>V</ci>
<ci>V_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="delayed_rectifier_K_channel_current_n_gate">
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.n" initial_value="0.1836403" name="n" public_interface="out" units="dimensionless" />
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.lamda_n" initial_value="12.5" name="lamda_n" units="per_second" />
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.Vn" initial_value="-18" name="Vn" units="millivolt" />
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.Sn" initial_value="14" name="Sn" units="millivolt" />
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.n_infinity" name="n_infinity" units="dimensionless" />
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.tau_n" name="tau_n" units="second" />
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.V" name="V" public_interface="in" units="millivolt" />
<variable cmeta:id="delayed_rectifier_K_channel_current_n_gate.time" name="time" public_interface="in" units="second" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>n</ci>
</apply>
<apply>
<divide />
<apply>
<minus />
<ci>n_infinity</ci>
<ci>n</ci>
</apply>
<ci>tau_n</ci>
</apply>
</apply>
<apply>
<eq />
<ci>n_infinity</ci>
<apply>
<divide />
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus />
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp />
<apply>
<divide />
<apply>
<minus />
<ci>Vn</ci>
<ci>V</ci>
</apply>
<ci>Sn</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq />
<ci>tau_n</ci>
<apply>
<divide />
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<times />
<ci>lamda_n</ci>
<apply>
<plus />
<apply>
<exp />
<apply>
<divide />
<apply>
<minus />
<ci>Vn</ci>
<ci>V</ci>
</apply>
<apply>
<times />
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>Sn</ci>
</apply>
</apply>
</apply>
<apply>
<exp />
<apply>
<divide />
<apply>
<minus />
<ci>V</ci>
<ci>Vn</ci>
</apply>
<apply>
<times />
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>Sn</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ca_sensitive_K_current">
<variable cmeta:id="Ca_sensitive_K_current_i_K_Ca" name="i_K_Ca" public_interface="out" units="nanoA_per_cm2" />
<variable cmeta:id="Ca_sensitive_K_current.g_K_Ca" initial_value="5" name="g_K_Ca" units="microS_per_cm2" />
<variable cmeta:id="Ca_sensitive_K_current.K_Ca" name="K_Ca" public_interface="in" units="micromolar" />
<variable cmeta:id="Ca_sensitive_K_current.time" name="time" public_interface="in" units="second" />
<variable cmeta:id="Ca_sensitive_K_current.V" name="V" public_interface="in" units="millivolt" />
<variable cmeta:id="Ca_sensitive_K_current.V_K" name="V_K" public_interface="in" units="millivolt" />
<variable cmeta:id="Ca_sensitive_K_current.Ca_i" name="Ca_i" public_interface="in" units="micromolar" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>i_K_Ca</ci>
<apply>
<times />
<apply>
<divide />
<apply>
<times />
<ci>g_K_Ca</ci>
<apply>
<power />
<ci>Ca_i</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<plus />
<apply>
<power />
<ci>K_Ca</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<apply>
<power />
<ci>Ca_i</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<minus />
<ci>V</ci>
<ci>V_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ATP_sensitive_K_current">
<variable cmeta:id="ATP_sensitive_K_current_i_K_ATP" name="i_K_ATP" public_interface="out" units="nanoA_per_cm2" />
<variable cmeta:id="ATP_sensitive_K_current.g_K_ATP" initial_value="2" name="g_K_ATP" units="microS_per_cm2" />
<variable cmeta:id="ATP_sensitive_K_current.time" name="time" public_interface="in" units="second" />
<variable cmeta:id="ATP_sensitive_K_current.V" name="V" public_interface="in" units="millivolt" />
<variable cmeta:id="ATP_sensitive_K_current.V_K" name="V_K" public_interface="in" units="millivolt" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>i_K_ATP</ci>
<apply>
<times />
<ci>g_K_ATP</ci>
<apply>
<minus />
<ci>V</ci>
<ci>V_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Na_leak_current">
<variable cmeta:id="Na_leak_current_i_NaL" name="i_NaL" public_interface="out" units="nanoA_per_cm2" />
<variable cmeta:id="Na_leak_current.g_NaL" initial_value="0.3" name="g_NaL" units="microS_per_cm2" />
<variable cmeta:id="Na_leak_current.V_Na" initial_value="80" name="V_Na" units="millivolt" />
<variable cmeta:id="Na_leak_current.time" name="time" public_interface="in" units="second" />
<variable cmeta:id="Na_leak_current.V" name="V" public_interface="in" units="millivolt" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>i_NaL</ci>
<apply>
<times />
<ci>g_NaL</ci>
<apply>
<minus />
<ci>V</ci>
<ci>V_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="cytosolic_calcium">
<variable cmeta:id="cytosolic_calcium_Ca_i" initial_value="0.6959466" name="Ca_i" public_interface="out" units="micromolar" />
<variable cmeta:id="cytosolic_calcium_Ca_lum" initial_value="102.686" name="Ca_lum" public_interface="out" units="micromolar" />
<variable cmeta:id="cytosolic_calcium.k_rel" initial_value="0.2" name="k_rel" units="per_second" />
<variable cmeta:id="cytosolic_calcium.k_Ca" initial_value="7" name="k_Ca" units="per_second" />
<variable cmeta:id="cytosolic_calcium.k_pump" initial_value="30" name="k_pump" units="per_second" />
<variable cmeta:id="cytosolic_calcium.omega" initial_value="0.2" name="omega" units="micromolar_cm2_per_nanoA_per_second" />
<variable cmeta:id="cytosolic_calcium.i_Ca" name="i_Ca" public_interface="in" units="nanoA_per_cm2" />
<variable cmeta:id="cytosolic_calcium.time" name="time" public_interface="in" units="second" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<minus />
<apply>
<times />
<ci>k_rel</ci>
<apply>
<minus />
<ci>Ca_lum</ci>
<ci>Ca_i</ci>
</apply>
</apply>
<apply>
<plus />
<apply>
<times />
<ci>omega</ci>
<ci>i_Ca</ci>
</apply>
<apply>
<times />
<ci>k_Ca</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<times />
<ci>k_pump</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_lum</ci>
</apply>
<apply>
<plus />
<apply>
<times />
<apply>
<minus />
<ci>k_rel</ci>
</apply>
<apply>
<minus />
<ci>Ca_lum</ci>
<ci>Ca_i</ci>
</apply>
</apply>
<apply>
<times />
<ci>k_pump</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation" />
<component_ref component="delayed_rectifier_K_channel_current">
<component_ref component="delayed_rectifier_K_channel_current_n_gate" />
</component_ref>
<component_ref component="fast_current">
<component_ref component="fast_current_h_gate" />
<component_ref component="fast_current_m_gate" />
</component_ref>
<component_ref component="calcium_current">
<component_ref component="calcium_current_d_gate" />
<component_ref component="calcium_current_f_gate" />
</component_ref>
</group>
<connection>
<map_components component_1="fast_current" component_2="fast_current_h_gate" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="delayed_rectifier_K_channel_current" component_2="ATP_sensitive_K_current" />
<map_variables variable_1="V_K" variable_2="V_K" />
</connection>
<connection>
<map_components component_1="fast_current" component_2="fast_current_m_gate" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="cytosolic_calcium" component_2="cationic_nonselective_inward_current" />
<map_variables variable_1="Ca_lum" variable_2="Ca_lum" />
</connection>
<connection>
<map_components component_1="membrane" component_2="fast_current" />
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</connection>
<connection>
<map_components component_1="environment" component_2="delayed_rectifier_K_channel_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="fast_current_m_gate" component_2="fast_current" />
<map_variables variable_1="m_infinity" variable_2="m_infinity" />
</connection>
<connection>
<map_components component_1="cytosolic_calcium" component_2="Ca_sensitive_K_current" />
<map_variables variable_1="Ca_i" variable_2="Ca_i" />
</connection>
<connection>
<map_components component_1="calcium_current" component_2="calcium_current_d_gate" />
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</connection>
<connection>
<map_components component_1="Ca_sensitive_K_current" component_2="membrane" />
<map_variables variable_1="i_K_Ca" variable_2="i_K_Ca" />
</connection>
<connection>
<map_components component_1="environment" component_2="fast_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="calcium_current_d_gate" component_2="calcium_current" />
<map_variables variable_1="d" variable_2="d" />
</connection>
<connection>
<map_components component_1="calcium_current" component_2="membrane" />
<map_variables variable_1="i_Ca" variable_2="i_Ca" />
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<connection>
<map_components component_1="ATP_sensitive_K_current" component_2="membrane" />
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<connection>
<map_components component_1="Na_leak_current" component_2="membrane" />
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</connection>
<connection>
<map_components component_1="calcium_current" component_2="Ca_sensitive_K_current" />
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<connection>
<map_components component_1="delayed_rectifier_K_channel_current" component_2="membrane" />
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<connection>
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<connection>
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<connection>
<map_components component_1="environment" component_2="calcium_current" />
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<connection>
<map_components component_1="environment" component_2="membrane" />
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</connection>
<connection>
<map_components component_1="environment" component_2="cytosolic_calcium" />
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</connection>
<connection>
<map_components component_1="cationic_nonselective_inward_current" component_2="membrane" />
<map_variables variable_1="i_NS" variable_2="i_NS" />
</connection>
<connection>
<map_components component_1="membrane" component_2="calcium_current" />
<map_variables variable_1="T" variable_2="T" />
<map_variables variable_1="R" variable_2="R" />
<map_variables variable_1="F" variable_2="F" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components component_1="calcium_current_f_gate" component_2="calcium_current" />
<map_variables variable_1="f_infinity" variable_2="f_infinity" />
</connection>
<connection>
<map_components component_1="membrane" component_2="cationic_nonselective_inward_current" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components component_1="membrane" component_2="ATP_sensitive_K_current" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components component_1="cytosolic_calcium" component_2="calcium_current" />
<map_variables variable_1="Ca_i" variable_2="Ca_i" />
</connection>
<connection>
<map_components component_1="delayed_rectifier_K_channel_current_n_gate" component_2="delayed_rectifier_K_channel_current" />
<map_variables variable_1="n" variable_2="n" />
</connection>
<connection>
<map_components component_1="membrane" component_2="Na_leak_current" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components component_1="environment" component_2="ATP_sensitive_K_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="fast_current_h_gate" component_2="fast_current" />
<map_variables variable_1="h" variable_2="h" />
</connection>
<connection>
<map_components component_1="fast_current" component_2="membrane" />
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</connection>
<connection>
<map_components component_1="delayed_rectifier_K_channel_current" component_2="Ca_sensitive_K_current" />
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</connection>
<connection>
<map_components component_1="membrane" component_2="Ca_sensitive_K_current" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components component_1="environment" component_2="cationic_nonselective_inward_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="calcium_current" component_2="calcium_current_f_gate" />
<map_variables variable_1="Ca_i" variable_2="Ca_i" />
<map_variables variable_1="K_Ca" variable_2="K_Ca" />
</connection>
<connection>
<map_components component_1="calcium_current" component_2="cytosolic_calcium" />
<map_variables variable_1="i_Ca" variable_2="i_Ca" />
</connection>
<connection>
<map_components component_1="environment" component_2="Ca_sensitive_K_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="environment" component_2="Na_leak_current" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<rdf:RDF xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" xmlns:opb="http://bhi.washington.edu/OPB#">
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<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
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<dcterms:description>fast current</dcterms:description>
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</rdf:Description>
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<dcterms:description>activation time constant of delayed rectifier potassium channel</dcterms:description>
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<dcterms:description>fast current</dcterms:description>
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<rdf:Description rdf:about="#Ca_sensitive_K_current.V_K">
<dcterms:description>potassium reversal potential</dcterms:description>
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<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>rate of calcium release from endoplasmic reticulum</dcterms:description>
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<dcterms:description>activation time constant of fast current H-gate</dcterms:description>
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<ro:part_of>
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<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:29108" />
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<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of intracellular calcium</dcterms:description>
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<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
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<dcterms:description>ATP-sensitive potassium current</dcterms:description>
</rdf:Description>
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<rdf:Description rdf:about="#membrane.T">
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<dcterms:description>absolute temperature</dcterms:description>
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<dcterms:description>steady state function of calcium current D-gate activation variable</dcterms:description>
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<dcterms:description>rate of calcium release from endoplasmic reticulum</dcterms:description>
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<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
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<dcterms:description>calcium current</dcterms:description>
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<dcterms:description>sodium leak current</dcterms:description>
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<dcterms:description>concentration of intracellular calcium</dcterms:description>
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<dcterms:description>potassium reversal potential</dcterms:description>
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<dcterms:description>concentration of intracellular calcium</dcterms:description>
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<dcterms:description>saturation potential of fast current M-gate</dcterms:description>
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<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
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<dcterms:description>concentration of luminal calcium</dcterms:description>
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<dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
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<dcterms:description>ATP-sensitive potassium current conductance</dcterms:description>
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<dcterms:description>half-saturation constant of calcium current</dcterms:description>
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<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
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<dcterms:description>saturation potential of fast current H-gate</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#Na_leak_current.g_NaL">
<dcterms:description>sodium leak current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.lamda_d">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
</rdf:Description>
<rdf:Description rdf:about="#cytosolic_calcium.i_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_37">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#cytosolic_calcium.k_Ca">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>sequestration rate of intracellular calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Na_leak_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#membrane.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current.K_Ca">
<bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#membrane.F">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00089" />
</rdf:Description>
<rdf:Description rdf:about="#calcium_current.f_infinity">
<dcterms:description>steady state function of calcium current F-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#membrane.i_fast">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_4">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>fast current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#calcium_current.R">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.d">
<dcterms:description>calcium current D-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#fast_current_m_gate.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#ATP_sensitive_K_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#fast_current_m_gate.Vm">
<dcterms:description>half-maximal activation potential of fast current M-gate</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#Ca_sensitive_K_current.Ca_i">
<bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
<dcterms:description>concentration of intracellular calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current_h_gate.Vh">
<dcterms:description>half-maximal activation potential of fast current H-gate</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#delayed_rectifier_K_channel_current_n_gate.Sn">
<dcterms:description>saturation potential of delayed rectifier potassium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#Na_leak_current.V">
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#ATP_sensitive_K_current_i_K_ATP">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_31">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>ATP-sensitive potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.tau_n">
<dcterms:description>activation time constant of delayed rectifier potassium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#membrane.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current.V_fast">
<dcterms:description>fast current reversal potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#membrane.Cm">
<dcterms:description>membrane capacitance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#delayed_rectifier_K_channel_current.V">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_25">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current.VNS">
<dcterms:description>half-maximal activation potential of cationic non-selective inward current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#cationic_nonselective_inward_current_i_NS">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_20">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>cationic nonselective inward current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#chay_1997" bqmodel:isDescribedBy="9284334" />
<rdf:Description rdf:about="#delayed_rectifier_K_channel_current.g_K_dr">
<dcterms:description>delayed rectifier potassium current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.V">
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#fast_current.V_fast">
<dcterms:description>fast current reversal potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#ATP_sensitive_K_current.V">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_32">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current.V">
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current.Ca_lum">
<bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
<dcterms:description>concentration of luminal calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_i_K_dr">
<dcterms:description>delayed-rectifying potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Ca_sensitive_K_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current.V_K">
<dcterms:description>potassium reversal potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current_i_Ca">
<dcterms:description>calcium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current.h">
<dcterms:description>fast current H-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#delayed_rectifier_K_channel_current_i_K_dr">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_24">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>delayed-rectifying potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#calcium_current_i_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_12">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00318" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current.f_infinity">
<dcterms:description>steady state function of calcium current F-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#delayed_rectifier_K_channel_current_n_gate.n">
<dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.V">
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cationic_nonselective_inward_current.V">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_23">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Ca_sensitive_K_current.Ca_i">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_30">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of intracellular calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current_f_gate.Ca_i">
<bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
<dcterms:description>concentration of intracellular calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#delayed_rectifier_K_channel_current_n_gate.Vn">
<dcterms:description>half-maximal activation potential of delayed rectifier potassium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#membrane.Cm">
<dcterms:description>membrane capacitance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosolic_calcium_Ca_i">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_35">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of intracellular calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#membrane.R">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#cationic_nonselective_inward_current_i_NS">
<dcterms:description>cationic nonselective inward current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.V_K">
<dcterms:description>potassium reversal potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current.n">
<dcterms:description>delayed rectifier potassium channel activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#membrane.i_K_ATP">
<dcterms:description>ATP-sensitive potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.V">
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Ca_sensitive_K_current.g_K_Ca">
<dcterms:description>calcium-sensitive potassium current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current.g_K_ATP">
<dcterms:description>ATP-sensitive potassium current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current.F">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00089" />
</rdf:Description>
<rdf:Description rdf:about="#calcium_current_d_gate.tau_d">
<dcterms:description>activation time constant of calcium current D-gate</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#Ca_sensitive_K_current.V">
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current.T">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00293" />
<dcterms:description>absolute temperature</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current.V">
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#fast_current_h_gate.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#membrane.R">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_00410" />
</rdf:Description>
<rdf:Description rdf:about="#calcium_current_f_gate.f_infinity">
<dcterms:description>steady state function of calcium current F-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#calcium_current.Ca_o">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_14">
<semsim:physicalPropertyOf>
<rdf:Description rdf:about="#entity_2">
<ro:part_of>
<rdf:Description rdf:about="#entity_3">
<semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/fma/FMA:70022" />
</rdf:Description>
</ro:part_of>
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:29108" />
</rdf:Description>
</semsim:physicalPropertyOf>
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of extracellular calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current.Ca_o">
<bqbiol:isPropertyOf rdf:resource="chay_1997.cellml#entity_0" />
<dcterms:description>concentration of extracellular calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current.d">
<dcterms:description>calcium current D-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#cytosolic_calcium.i_Ca">
<dcterms:description>calcium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#calcium_current_d_gate.lamda_d">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.lamda_n">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#calcium_current_d_gate.Sd">
<dcterms:description>saturation potential of calcium current D-gate</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#delayed_rectifier_K_channel_current_n_gate.Sn">
<dcterms:description>saturation potential of delayed rectifier potassium channel</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current.g_fast">
<dcterms:description>fast current conductance</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cationic_nonselective_inward_current.Ca_lum">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_22">
<semsim:physicalPropertyOf rdf:resource="#entity_4" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of luminal calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#fast_current_h_gate.h">
<dcterms:description>fast current H-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current_h_gate.lamda_h">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#ATP_sensitive_K_current_i_K_ATP">
<dcterms:description>ATP-sensitive potassium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#delayed_rectifier_K_channel_current.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#calcium_current_d_gate.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.Vm">
<dcterms:description>half-maximal activation potential of fast current M-gate</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#fast_current_h_gate.V">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_11">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00506" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>pancreatic beta cell membrane potential</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="chay_1997.cellml#fast_current_m_gate.m_infinity">
<dcterms:description>steady state function of fast current M-gate activation variable</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Ca_sensitive_K_current.K_Ca">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_28">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>half-saturation constant of calcium current</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#chay_1997" bqmodel:isDescribedBy="9284334" semsim:modelName="chay_1997">
<semsim:unknown>Pancreatic Beta-cell</semsim:unknown>
<semsim:unknown>The Chay et al 1997 mathematical model of the effects of extracellular
and intracellular calcium on pancreatic beta cells.</semsim:unknown>
</rdf:Description>
</rdf:RDF>
</model>