- 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/houart_1999/model/houart_1999.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="houart_1999" cmeta:id="houart_1999">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Bursting, Chaos and Birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations</title>
<author>
<firstname>Mona</firstname>
<surname>Zhu</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>This model has been built with the differential expressions of Houart's 1999 paper for various types of intracellular Ca2+ oscillations bassed on self-modulation of the Inositol 1,4,5-triphosphate signal. The parameter values for this model are different for different types of intracellular Ca2+ oscillations. The parameter values used for this particular model were taken from Figure 2 on page 513 and reproduces the corresponding curves. Parameter values from pages 515 and 520 may be changed to reflect curves for Bursting, Chaos, Quasiperiodicity and Birhythmicity. The initial conditions have been set after allowing the model to run for approximately 5 minutes until steady state. This file is known to run in COR and OpenCell.</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>We investigate the various types of complex Ca2+ oscillations which can arise in a model based on the mechanism of Ca2+-induced Ca2+ release (CICR), that takes into account the Ca2+-stimulated degradation of inositol 1,4,5-trisphosphate (InsP3) by a 3-kinase. This model was previously proposed in the course of an investigation of plausible mechanisms capable of generating complex Ca2+ oscillations. Besides simple periodic behavior, this model for cytosolic Ca2+ oscillations in nonexcitable cells shows complex oscillatory phenomena like bursting or chaos. We show that the model also admits a coexistence between two stable regimes of sustained oscillations (birhythmicity). The occurrence of these various modes of oscillatory behavior is analysed by means of bifurcation diagrams. Complex oscillations are characterized by means of Poincare sections, power spectra and Lyapounov exponents. The results point to the role of self-modulation of the InsP3 signal by 3-kinase as a possible source for complex temporal patterns in Ca2+ signaling.</para>
<para>
Bursting, Chaos and Birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations, Houart G, Dupont G, Goldbeter A, 1999,
<emphasis>Bulletin of Mathematical Biology</emphasis>
, 61, 507-530
<ulink url="http://www.ncbi.nlm.nih.gov/pubmed/17883229">PubMed ID: 17883229</ulink>
</para>
<informalfigure float="0" id="______">
<mediaobject>
<imageobject>
<objectinfo>
<title>Model Diagram</title>
</objectinfo>
<imagedata fileref="houart_1999.png" />
</imageobject>
</mediaobject>
<caption>Schematic representation of the model based on the interplay between CICR and the Ca2+-stimulated degradation of InsP3. Besides simple periodic oscillations, this model can produce complex Ca2+ oscillations including bursting, chaos, quasiperiodic behavior, as well as birhythmicity.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<units name="micromolar_per_minute">
<unit units="micromolar" />
<unit units="per_minute" />
</units>
<units name="per_litre">
<unit exponent="-1.0" units="litre" />
</units>
<units name="minute">
<unit multiplier="60.0" units="second" />
</units>
<units name="per_micromolar_minute">
<unit exponent="-1.0" units="micromolar" />
<unit units="per_minute" />
</units>
<units name="micromolar">
<unit units="per_litre" />
<unit prefix="micro" units="mole" />
</units>
<units name="per_minute">
<unit exponent="-1.0" units="minute" />
</units>
<component name="environment">
<variable cmeta:id="environment.time" name="time" public_interface="out" units="minute" />
</component>
<component name="Vin">
<variable cmeta:id="Vin.V_0" initial_value="2" name="V_0" public_interface="out" units="micromolar_per_minute" />
<variable cmeta:id="Vin.V_1" initial_value="2" name="V_1" public_interface="out" units="micromolar_per_minute" />
<variable cmeta:id="Vin.beta" initial_value="0.6" name="beta" public_interface="out" units="dimensionless" />
<variable cmeta:id="Vin.V_in" name="V_in" public_interface="out" units="micromolar_per_minute" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>V_in</ci>
<apply>
<plus />
<ci>V_0</ci>
<apply>
<times />
<ci>V_1</ci>
<ci>beta</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="V2">
<variable cmeta:id="V2.V_M2" initial_value="6" name="V_M2" units="micromolar_per_minute" />
<variable cmeta:id="V2.Z" name="Z" public_interface="in" private_interface="out" units="micromolar" />
<variable cmeta:id="V2.K_2" initial_value="0.1" name="K_2" units="micromolar" />
<variable cmeta:id="V2.V_2" name="V_2" public_interface="out" units="micromolar_per_minute" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>V_2</ci>
<apply>
<divide />
<apply>
<times />
<ci>V_M2</ci>
<apply>
<power />
<ci>Z</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus />
<apply>
<power />
<ci>K_2</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power />
<ci>Z</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="V3">
<variable cmeta:id="V3.V_M3" initial_value="20" name="V_M3" units="micromolar_per_minute" />
<variable cmeta:id="V3.K_Z" initial_value="0.5" name="K_Z" units="micromolar" />
<variable cmeta:id="V3.K_A" initial_value="0.2" name="K_A" units="micromolar" />
<variable cmeta:id="V3.K_Y" initial_value="0.2" name="K_Y" units="micromolar" />
<variable cmeta:id="V3.m" initial_value="2" name="m" units="dimensionless" />
<variable cmeta:id="V3.Y" name="Y" public_interface="in" private_interface="out" units="micromolar" />
<variable cmeta:id="V3.A" name="A" public_interface="in" private_interface="out" units="micromolar" />
<variable cmeta:id="V3.Z" name="Z" public_interface="in" private_interface="out" units="micromolar" />
<variable cmeta:id="V3.V_3" name="V_3" public_interface="out" units="micromolar_per_minute" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>V_3</ci>
<apply>
<divide />
<apply>
<times />
<apply>
<divide />
<apply>
<times />
<apply>
<divide />
<apply>
<times />
<ci>V_M3</ci>
<apply>
<power />
<ci>Z</ci>
<ci>m</ci>
</apply>
</apply>
<apply>
<plus />
<apply>
<power />
<ci>K_Z</ci>
<ci>m</ci>
</apply>
<apply>
<power />
<ci>Z</ci>
<ci>m</ci>
</apply>
</apply>
</apply>
<apply>
<power />
<ci>Y</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus />
<apply>
<power />
<ci>K_Y</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power />
<ci>Y</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<power />
<ci>A</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<plus />
<apply>
<power />
<ci>K_A</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
<apply>
<power />
<ci>A</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="V5">
<variable cmeta:id="V5.V_M5" initial_value="5" name="V_M5" units="micromolar_per_minute" />
<variable cmeta:id="V5.K_5" initial_value="1" name="K_5" units="micromolar" />
<variable cmeta:id="V5.K_d" initial_value="0.4" name="K_d" units="micromolar" />
<variable cmeta:id="V5.p" initial_value="2" name="p" units="dimensionless" />
<variable cmeta:id="V5.n" initial_value="4" name="n" units="dimensionless" />
<variable cmeta:id="V5.A" name="A" public_interface="in" private_interface="out" units="micromolar" />
<variable cmeta:id="V5.Z" name="Z" public_interface="in" private_interface="out" units="micromolar" />
<variable cmeta:id="V5.V_5" name="V_5" public_interface="out" units="micromolar_per_minute" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<ci>V_5</ci>
<apply>
<divide />
<apply>
<times />
<apply>
<divide />
<apply>
<times />
<ci>V_M5</ci>
<apply>
<power />
<ci>A</ci>
<ci>p</ci>
</apply>
</apply>
<apply>
<plus />
<apply>
<power />
<ci>K_5</ci>
<ci>p</ci>
</apply>
<apply>
<power />
<ci>A</ci>
<ci>p</ci>
</apply>
</apply>
</apply>
<apply>
<power />
<ci>Z</ci>
<ci>n</ci>
</apply>
</apply>
<apply>
<plus />
<apply>
<power />
<ci>K_d</ci>
<ci>n</ci>
</apply>
<apply>
<power />
<ci>Z</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="cytosol">
<variable cmeta:id="cytosol.time" name="time" public_interface="in" private_interface="out" units="minute" />
<variable cmeta:id="cytosol.V_in" name="V_in" public_interface="in" units="micromolar_per_minute" />
<variable cmeta:id="cytosol.V_2" name="V_2" public_interface="in" units="micromolar_per_minute" />
<variable cmeta:id="cytosol.V_3" name="V_3" public_interface="in" private_interface="out" units="micromolar_per_minute" />
<variable cmeta:id="cytosol.k" initial_value="10" name="k" units="per_minute" />
<variable cmeta:id="cytosol.k_f" initial_value="1" name="k_f" public_interface="out" units="per_minute" />
<variable cmeta:id="cytosol.Z" initial_value="0.15" name="Z" public_interface="out" units="micromolar" />
<variable cmeta:id="cytosol.Y" name="Y" public_interface="in" private_interface="out" units="micromolar" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>Z</ci>
</apply>
<apply>
<minus />
<apply>
<plus />
<apply>
<minus />
<ci>V_in</ci>
<ci>V_2</ci>
</apply>
<ci>V_3</ci>
<apply>
<times />
<ci>k_f</ci>
<ci>Y</ci>
</apply>
</apply>
<apply>
<times />
<ci>k</ci>
<ci>Z</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="internal_pool">
<variable cmeta:id="internal_pool.time" name="time" public_interface="in" private_interface="out" units="minute" />
<variable cmeta:id="internal_pool.V_2" name="V_2" public_interface="in" private_interface="out" units="micromolar_per_minute" />
<variable cmeta:id="internal_pool.V_3" name="V_3" public_interface="in" private_interface="out" units="micromolar_per_minute" />
<variable cmeta:id="internal_pool.k_f" name="k_f" public_interface="in" private_interface="out" units="per_minute" />
<variable cmeta:id="internal_pool.Y" initial_value="1" name="Y" public_interface="out" units="micromolar" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>Y</ci>
</apply>
<apply>
<minus />
<apply>
<minus />
<ci>V_2</ci>
<ci>V_3</ci>
</apply>
<apply>
<times />
<ci>k_f</ci>
<ci>Y</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="InsP3_conc">
<variable cmeta:id="InsP3_conc.time" name="time" public_interface="in" units="minute" />
<variable cmeta:id="InsP3_conc.beta" name="beta" public_interface="in" units="dimensionless" />
<variable cmeta:id="InsP3_conc.epsilon" initial_value="0.1" name="epsilon" units="per_minute" />
<variable cmeta:id="InsP3_conc.V_4" initial_value="2" name="V_4" units="micromolar_per_minute" />
<variable cmeta:id="InsP3_conc.V_5" name="V_5" public_interface="in" private_interface="out" units="micromolar_per_minute" />
<variable cmeta:id="InsP3_conc.A" initial_value="0.42" name="A" public_interface="out" units="micromolar" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq />
<apply>
<diff />
<bvar>
<ci>time</ci>
</bvar>
<ci>A</ci>
</apply>
<apply>
<minus />
<apply>
<minus />
<apply>
<times />
<ci>beta</ci>
<ci>V_4</ci>
</apply>
<ci>V_5</ci>
</apply>
<apply>
<times />
<ci>epsilon</ci>
<ci>A</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="InsP3_conc" component_2="V3" />
<map_variables variable_1="A" variable_2="A" />
</connection>
<connection>
<map_components component_1="internal_pool" component_2="cytosol" />
<map_variables variable_1="Y" variable_2="Y" />
</connection>
<connection>
<map_components component_1="InsP3_conc" component_2="V5" />
<map_variables variable_1="A" variable_2="A" />
</connection>
<connection>
<map_components component_1="V2" component_2="internal_pool" />
<map_variables variable_1="V_2" variable_2="V_2" />
</connection>
<connection>
<map_components component_1="V3" component_2="internal_pool" />
<map_variables variable_1="V_3" variable_2="V_3" />
</connection>
<connection>
<map_components component_1="environment" component_2="cytosol" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="Vin" component_2="InsP3_conc" />
<map_variables variable_1="beta" variable_2="beta" />
</connection>
<connection>
<map_components component_1="cytosol" component_2="V2" />
<map_variables variable_1="Z" variable_2="Z" />
</connection>
<connection>
<map_components component_1="environment" component_2="InsP3_conc" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="V2" component_2="cytosol" />
<map_variables variable_1="V_2" variable_2="V_2" />
</connection>
<connection>
<map_components component_1="internal_pool" component_2="V3" />
<map_variables variable_1="Y" variable_2="Y" />
</connection>
<connection>
<map_components component_1="V3" component_2="cytosol" />
<map_variables variable_1="V_3" variable_2="V_3" />
</connection>
<connection>
<map_components component_1="cytosol" component_2="internal_pool" />
<map_variables variable_1="k_f" variable_2="k_f" />
</connection>
<connection>
<map_components component_1="cytosol" component_2="V3" />
<map_variables variable_1="Z" variable_2="Z" />
</connection>
<connection>
<map_components component_1="V5" component_2="InsP3_conc" />
<map_variables variable_1="V_5" variable_2="V_5" />
</connection>
<connection>
<map_components component_1="environment" component_2="internal_pool" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components component_1="Vin" component_2="cytosol" />
<map_variables variable_1="V_in" variable_2="V_in" />
</connection>
<connection>
<map_components component_1="cytosol" component_2="V5" />
<map_variables variable_1="Z" variable_2="Z" />
</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#">
<rdf:Description rdf:about="#V3.A">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_7">
<semsim:physicalPropertyOf>
<rdf:Description rdf:about="#entity_4">
<ro:part_of>
<rdf:Description rdf:about="#entity_1">
<semsim:hasPhysicalDefinition rdf:resource="http://identifiers.org/go/GO:0005829" />
</rdf:Description>
</ro:part_of>
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:16595" />
</rdf:Description>
</semsim:physicalPropertyOf>
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V2.V_2">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_2">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium flux from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.V_5">
<dcterms:description>phosphorylation rate of IP3 by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.Z">
<bqbiol:isPropertyOf>
<rdf:Description rdf:about="houart_1999.cellml#entity_0">
<bqbiol:is rdf:resource="http://identifiers.org/go/GO:0005829" />
</rdf:Description>
</bqbiol:isPropertyOf>
<dcterms:description>concentration of cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#internal_pool.V_2">
<dcterms:description>pumping rate of cytosolic calcium from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V2.K_2">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_1">
<semsim:physicalPropertyOf rdf:resource="#entity_1" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>threshold constant for calcium pumping into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#internal_pool.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.V_in">
<dcterms:description>total calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.p">
<dcterms:description>Hill coefficient of IP3 phosphorylation by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.Z">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_8">
<semsim:physicalPropertyOf>
<rdf:Description rdf:about="#entity_0">
<ro:part_of rdf:resource="#entity_1" />
<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 cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.k">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>rate constant of cytosolic calcium transport out of cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.V_5">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_14">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>phosphorylation rate of IP3 by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Vin.V_in">
<dcterms:description>total calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.V_M3">
<dcterms:description>maximum release rate of cytosolic calcium from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#InsP3_conc.beta">
<dcterms:description>degree of stimulation of the cell by an agonist</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.n">
<dcterms:description>Hill coefficient of calcium release from intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#Vin.beta">
<dcterms:description>degree of stimulation of the cell by an agonist</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.V_M5">
<dcterms:description>maximum phosphorylation rate of IP3 by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.K_5">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>half-saturation constant of IP3 phosphorylation by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#InsP3_conc.V_5">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_22">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>phosphorylation rate of IP3 by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.V_3">
<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 from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#Vin.V_1">
<dcterms:description>maximum rate of stimulus-induced calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.V_M3">
<dcterms:description>maximum release rate of cytosolic calcium from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#InsP3_conc.V_5">
<dcterms:description>phosphorylation rate of IP3 by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#environment.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.n">
<dcterms:description>Hill coefficient of calcium release from intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosol.k">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>rate constant of cytosolic calcium transport out of cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.K_A">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_4">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>intracellular calcium threshold constant for activation of calcium release from intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.K_Z">
<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>IP3 threshold constant for activation of calcium release from intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Vin.V_0">
<dcterms:description>constant calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V2.V_M2">
<dcterms:description>maximum pumping rate of cytosolic calcium from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosol.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#InsP3_conc.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#InsP3_conc.V_4">
<dcterms:description>maximum rate of stimulus-induced synthesis of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.m">
<dcterms:description>Hill coefficient of calcium pumping into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.m">
<dcterms:description>Hill coefficient of calcium pumping into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#internal_pool.Y">
<bqbiol:isPropertyOf>
<rdf:Description rdf:about="houart_1999.cellml#entity_1">
<bqbiol:is rdf:resource="http://identifiers.org/fma/FMA:63842" />
</rdf:Description>
</bqbiol:isPropertyOf>
<dcterms:description>concentration of calcium in intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosol.Z">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_17">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.p">
<dcterms:description>Hill coefficient of IP3 phosphorylation by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.K_5">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_10">
<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 IP3 phosphorylation by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#InsP3_conc.epsilon">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>rate constant of IP3 metabolism by 5-phosphatase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#Vin.V_1">
<dcterms:description>maximum rate of stimulus-induced calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.V_3">
<dcterms:description>release rate of cytosolic calcium from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.A">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>concentration of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosol.Y">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_18">
<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:63842" />
</rdf:Description>
</ro:part_of>
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/chebi/CHEBI:29108" />
</rdf:Description>
</semsim:physicalPropertyOf>
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of calcium in intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.K_A">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>intracellular calcium threshold constant for activation of calcium release from intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.V_2">
<dcterms:description>pumping rate of cytosolic calcium from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.Y">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_1" />
<dcterms:description>concentration of calcium in intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#houart_1999" bqmodel:isDescribedBy="17883229" />
<rdf:Description rdf:about="houart_1999.cellml#V3.K_Z">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>IP3 threshold constant for activation of calcium release from intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V2.Z">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_0">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.K_Y">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_5">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>threshold constant for calcium release from intracellular stores</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="houart_1999.cellml#InsP3_conc.beta">
<dcterms:description>degree of stimulation of the cell by an agonist</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.Z">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>concentration of cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.K_d">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_11">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>threshold calcium level of 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.A">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_12">
<semsim:physicalPropertyOf rdf:resource="#entity_4" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.A">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>concentration of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosol.k_f">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>passive leak rate constant of calcium from intracellular stores into cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#InsP3_conc.epsilon">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>rate constant of IP3 metabolism by 5-phosphatase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#internal_pool.V_2">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_19">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium flux from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.V_M5">
<dcterms:description>maximum phosphorylation rate of IP3 by 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#houart_1999" semsim:unknown="Ca2+" semsim:modelName="houart_1999" bqmodel:isDescribedBy="17883229">
<semsim:unknown>Bursting, Chaos and birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations</semsim:unknown>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#InsP3_conc.A">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>concentration of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#internal_pool.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#cytosol.V_2">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_15">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium flux from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#InsP3_conc.V_4">
<dcterms:description>maximum rate of stimulus-induced synthesis of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V5.Z">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_13">
<semsim:physicalPropertyOf rdf:resource="#entity_0" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V2.V_M2">
<dcterms:description>maximum pumping rate of cytosolic calcium from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V2.Z">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>concentration of cytosolic calcium</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#Vin.V_0">
<dcterms:description>constant calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#Vin.V_in">
<dcterms:description>total calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#internal_pool.Y">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_21">
<semsim:physicalPropertyOf rdf:resource="#entity_2" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of calcium in intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.K_d">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>threshold calcium level of 3-kinase</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#internal_pool.V_3">
<dcterms:description>release rate of cytosolic calcium from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.k_f">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>passive leak rate constant of calcium from intracellular stores into cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.Y">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_1" />
<dcterms:description>concentration of calcium in intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#internal_pool.V_3">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_20">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium flux from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V2.V_2">
<dcterms:description>pumping rate of cytosolic calcium from the cytosol into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#InsP3_conc.A">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_23">
<semsim:physicalPropertyOf rdf:resource="#entity_4" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of IP3</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#internal_pool.k_f">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>passive leak rate constant of calcium from intracellular stores into cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#internal_pool.k_f">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01296" />
<dcterms:description>passive leak rate constant of calcium from intracellular stores into cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V2.K_2">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>threshold constant for calcium pumping into intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#cytosol.V_3">
<dcterms:description>release rate of cytosolic calcium from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosol.V_in">
<dcterms:description>total calcium flux into the cell</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#cytosol.V_3">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_16">
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00593" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>calcium flux from intracellular stores into the cytosol</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="#V3.Y">
<semsim:isComputationalComponentFor>
<rdf:Description rdf:about="#property_6">
<semsim:physicalPropertyOf rdf:resource="#entity_2" />
<semsim:hasPhysicalDefinition rdf:resource="https://identifiers.org/opb/OPB_00340" />
</rdf:Description>
</semsim:isComputationalComponentFor>
<dcterms:description>concentration of calcium in intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#InsP3_conc.time">
<bqbiol:is rdf:resource="https://identifiers.org/opb/OPB_01023" />
</rdf:Description>
<rdf:Description rdf:about="#Vin.beta">
<dcterms:description>degree of stimulation of the cell by an agonist</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V3.K_Y">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_1" />
<dcterms:description>threshold constant for calcium release from intracellular stores</dcterms:description>
</rdf:Description>
<rdf:Description rdf:about="houart_1999.cellml#V5.Z">
<bqbiol:isPropertyOf rdf:resource="houart_1999.cellml#entity_0" />
<dcterms:description>concentration of cytosolic calcium</dcterms:description>
</rdf:Description>
</rdf:RDF>
</model>
