08032015152525250m0500
type: Ontology
sem sim version: 0.2
has cell m ldocumentation: <documentation xmlns="http://cellml.org/tmp-documentation"> <articleinfo> IP3-Mediated Ca2+ Release <author> <firstname>Catherine</firstname> <surname>Lloyd</surname> <affiliation> <shortaffil>Bioengineering Institute, University of Auckland</shortaffil> </affiliation> </author> </articleinfo> <sect1 id="sec_structure"> Model Structure Ca <superscript>2+</superscript> is a ubiquitous intracellular secondary messenger, and evidence from several different cell types suggests that an important mode of signalling is through oscillations rather than the maintenance of a steady state level. The oscillatory behaviour of inositol 1,4,5-triphosphate (IP3)-mediated Ca <superscript>2+</superscript> release has been modelled by Gary W. De Young and Joel Keizer. Their 1992 paper is referenced fully below. A single-pool inositol 1,4,5-triphosphate-receptor-based model for agonist-stimulated oscillations in Ca <superscript>2+</superscript> concentration , Gary W. De Young and Joel Keizer, 1992, Proc. Natl. Acad. Sci. USA , 89, 9895-9899. (A PDF of the article is available to subscribers on the PNAS website.) PubMed ID: 1329108 Several mechanisms have been proposed to explain oscillations of intracellular Ca <superscript>2+</superscript> concentration in cells. In this study, De Young and Keizer investigate the idea that a biphasic response of the IP3 receptor/channel to cytosolic Ca <superscript>2+</superscript> may alone be sufficient to induce Ca <superscript>2+</superscript> oscillations. They constructed a simplified model of the IP3 receptor/channel by assuming that three equivalent and independent subunits are involved in Ca <superscript>2+</superscript> conduction. Each subunit has three binding sites: one for IP3, one for Ca <superscript>2+</superscript> activation, and one for Ca <superscript>2+</superscript> inactivation. Thus each subunit may exist in eight states with transitions governed by second-order (association) and first-order (dissociation) rate constants (see …
has cell m lrdf markup: <rdf:RDF xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:j.0="http://imc.org/vCard/3.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/"> <rdf:Description rdf:about="http://www.cellml.org/Ca_ER"> <cmeta:comment> <rdf:Description rdf:about="rdf:#c7e7447a-77f3-43fa-87fd-ec0a9fa1f8f6"> <rdf:value>In their model, De Young and Keizer utilise the Ca2+ conservation condition to calculate the concentration of calcium ions in the endoplasmic reticulum (Ca_ER).</rdf:value> </rdf:Description> </cmeta:comment> <cmeta:comment> <rdf:Description rdf:about="rdf:#ad8345d6-c32a-4ec5-99af-a95703959255"> <rdf:value>De Young and Keize assumed that only the state S_110 (one IP3 and one activating Ca2+ bound) contributes to the conductance and that all three subunits must be in this state for the channel to be open. Thus the open probability is proportional to x^3_110.</rdf:value> </rdf:Description> </cmeta:comment> </rdf:Description> <rdf:Description rdf:about="http://www.cellml.org/cellml/1.0"> <cmeta:modification> <rdf:Description rdf:about="rdf:#fc301a38-a02f-4b0d-92d1-b81be7d2f1bb"> <cmeta:modifier> <rdf:Description rdf:about="rdf:#9b0d3617-49f3-449d-a674-df54b20b59a4"> <vCard:N> <rdf:Description rdf:about="rdf:#1309919c-78c0-429e-b98f-89a03461383e"> <vCard:Other>May</vCard:Other> <vCard:Family>Lloyd</vCard:Family> <vCard:Given>Catherine</vCard:Given> </rdf:Description> </vCard:N> </rdf:Description> </cmeta:modifier> <rdf:value>The new version of this model has been re-coded to remove the reaction element and replace it with a simple MathML description of the model reaction kinetics. This is thought to be truer to the original publication, and information regarding the enzyme kinetics etc will later be added to the metadata through use of an ontology. The model runs in the PCEnv simulator a…
model description: A single-pool inositol 1,4,5-triphosphate-receptor-based model for agonist-stimulated oscillations in Ca 2+ concentration
legacy code URI: C:\Users\thomp_000\Dropbox\Work Related\Annotated Models\deyoung_1992\deyoung_keizer_1992.cellml
annotator name: Christopher Thompson
cellml URL: https://models.physiomeproject.org/exposure/cd65a6e4500cb8fae8eb0725c1a2db57/deyoung_keizer_1992.cellml/view
model id: mitochondrial_model_1992
model name: mitochondrial_model_1992

Chemical concentration
type: Class
subclass of: Reference physical property
subclass of: Restriction
  on property: refersTo
  has value: Chemical concentration

Chemical concentration flow rate
type: Class
subclass of: Reference physical property
subclass of: Restriction
  on property: refersTo
  has value: Chemical concentration flow rate

calcium ion
type: Class
subclass of: Reference physical entity
subclass of: Restriction
  on property: refersTo
  has value: calcium ion

Endoplasmic reticulum
type: Class
subclass of: Reference physical entity
subclass of: Restriction
  on property: refersTo
  has value: Endoplasmic reticulum

Portion of cytosol
type: Class
subclass of: Reference physical entity
subclass of: Restriction
  on property: refersTo
  has value: Portion of cytosol

Composite physical entity
type: Class
subclass of: Physical entity
disjoint with: Custom physical entity
disjoint with: Reference physical entity
comment: A physical entity that is defined by linking multiple physical entity terms with structural relations.

Computation
type: Class
subclass of: Computational model component
disjoint with: Data structure
comment: A mathematical and/or logical expression that determines the value of a data structure.

Computational model component
type: Class
subclass of: SemSim component
disjoint with: Physical model component
comment: An element of a SemSim model that relates to the mathematical or logical representation of physical quantities or qualities.

Custom physical dependency
type: Class
subclass of: Physical dependency
disjoint with: Reference physical dependency
comment: A physical dependency defined in a specific SemSim model.

Custom physical entity
type: Class
subclass of: Physical entity
comment: A physical entity defined in a specific SemSim model.

Custom physical process
type: Class
subclass of: Physical process
comment: A physical process defined in a specific SemSim model.

Custom physical property
type: Class
subclass of: Physical property
disjoint with: Reference physical property
comment: A physical property defined in a specific SemSim model.

Data structure
type: Class
subclass of: Computational model component
comment: A computational element that stores numerical and/or logical information related to the model.

Decimal
type: Class
subclass of: Real
disjoint with: Integer
comment: A data structure whose value is limited to decimals.

Integer
type: Class
subclass of: Real
comment: A data structure whose value is limited to the whole numbers.

MMLchoice
type: Class
subclass of: Real
comment: A data structure unique to JSim's Mathematical Modeling Language (MML) used to set one or more model input values at runtime.

Physical dependency
type: Class
subclass of: Physical model component
disjoint with: Physical entity
disjoint with: Physical process
disjoint with: Physical property
comment: A quantitative relation between values of physical properties that occurs over a span of time and that determines the time-course of a physical process.

Physical entity
type: Class
subclass of: Physical model component
disjoint with: Physical process
disjoint with: Physical property
comment: A physics analytical entity that represents the material, energy, and/or information content of material or immaterial, space-occupying continuants.

Physical model component
type: Class
subclass of: SemSim component
comment: A SemSim model element used to represent, in whole or in part, the physical meaning of a computational element.

Physical process
type: Class
subclass of: Physical model component
disjoint with: Physical property
comment: A physical processural entity that is a flow, or the control of a flow, of energy and/or information amongst physical continuants that are participants in the physical process.

Physical property
type: Class
subclass of: Physical model component
comment: A physical attribute of an instance of a physical entity, an occurrence of a physical process, or a physical dependency that has a quantitative value that is measurable by a physical device or method, or is computable from such values.

Real
type: Class
subclass of: Data structure
comment: A data structure whose value is limited to the real numbers.

Reference physical dependency
type: Class
subclass of: Physical dependency
comment: A physical dependency that is defined using a term in an external knowledge resource.

Reference physical entity
type: Class
subclass of: Physical entity
comment: A physical entity that is defined using a term from an external knowledge resource.

Reference physical process
type: Class
subclass of: Physical process
comment: A physical process that is defined using a term in an external knowledge resource.

Reference physical property
type: Class
subclass of: Physical property
comment: A physical property that is defined using a term in an external knowledge resource.

Relational constraint
type: Class
subclass of: Computational model component
comment: A logical expression that constrains, but does not define, the value of a data structure. Example: x > 0.

SemSim component
type: Class
comment: A computational or physical element of a SemSim model.

Submodel
type: Class
subclass of: Physical model component
comment: A grouping of one or more data structures that comprise a computationally or physically distinct part of a model or submodel.

Unit of measurement
type: Class
subclass of: Computational model component
comment: A physical quantity chosen as a standard in terms of which other physical quantities may be expressed.

calcium ion
type: NamedIndividual
refers to: calcium ion
is index entity for: CHEBI 39124 part of Portion of cytosol
has physical property: Chemical concentration
part of: Portion of cytosol

calcium ion
type: NamedIndividual
refers to: calcium ion
is index entity for: CHEBI 39124 part of Endoplasmic reticulum
has physical property: Chemical concentration
part of: Endoplasmic reticulum

Ca ER
type: NamedIndividual
type: Submodel
name: Ca_ER
has associated data structure: Ca ER.Ca ER
has associated data structure: Ca ER.Ca i
has associated data structure: Ca ER.c0
has associated data structure: Ca ER.c1
has associated data structure: Ca ER.time
has computational component: Ca ER computation

Ca ER.Ca ER
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Ca concentration in the endoplasmic reticulum.
is computational component for: Chemical concentration
mapped to: Ca i.Ca ER
has unit: UNIT micromolar

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
physical property of: calcium ion
has computational component: Ca ER.Ca ER

Ca ER.Ca i
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Cytosolic free Ca concentration
is computational component for: Chemical concentration
has unit: UNIT micromolar

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
physical property of: calcium ion
has computational component: Ca ER.Ca i

Ca ER.c0
type: NamedIndividual
type: Decimal
has start value: 2.0
is discrete: false
is solution domain: false
is declared: true
comment: Total Ca concentration in the cytosol
is computational component for: Ca ER.c0 property
has unit: UNIT micromolar

Ca ER.c1
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Volume ratio of endoplasmic reticulum and cytosol
is computational component for: Ca ER.c1 property

Ca ER.time
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Time domain
is computational component for: Ca ER.time property
has unit: UNIT second

Ca ER computation
type: NamedIndividual
type: Computation
has math ML: <apply id="Ca_ER_calculation"> <eq /> <ci>Ca_ER</ci> <apply> <divide /> <apply> <minus /> <ci>c0</ci> <ci>Ca_i</ci> </apply> <ci>c1</ci> </apply> </apply>
is computational component for: Ca ER

Ca i
type: NamedIndividual
type: Submodel
name: Ca_i
has associated data structure: Ca i.Ca ER
has associated data structure: Ca i.Ca i
has associated data structure: Ca i.J1
has associated data structure: Ca i.J2
has associated data structure: Ca i.P open
has associated data structure: Ca i.c1
has associated data structure: Ca i.k3
has associated data structure: Ca i.time
has associated data structure: Ca i.v1
has associated data structure: Ca i.v2
has associated data structure: Ca i.v3
has computational component: Ca i computation

Ca i.Ca ER
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Ca concentration in the endoplasmic reticulum.
is computational component for: Chemical concentration
has unit: UNIT micromolar

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
physical property of: calcium ion
has computational component: Ca i.Ca ER

Ca i.Ca i
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: Cytosolic free Ca concentration
mapped to: Ca ER.Ca i
is computational component for: Chemical concentration
mapped to: IP3.Ca i
has unit: UNIT micromolar
mapped to: fluxes.Ca i
mapped to: probability of an open IP3 receptor channel.Ca i

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
physical property of: calcium ion
has computational component: Ca i.Ca i

Ca i.J1
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
is declared: true
comment: Outward flux of Ca from Cytosol
is computational component for: Chemical concentration flow rate
has unit: UNIT flux

Chemical concentration flow rate
type: NamedIndividual
refers to: Chemical concentration flow rate
has computational component: Ca i.J1
physical property of: Flow of calcium from endoplasmic reticulum to cytosol

Ca i.J2
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
is declared: true
comment: Cytosol intake of Ca
is computational component for: Chemical concentration flow rate
has unit: UNIT flux

Chemical concentration flow rate
type: NamedIndividual
refers to: Chemical concentration flow rate
has computational component: Ca i.J2
physical property of: Flow of calcium from cytosol to endoplasmic reticulum

Ca i.P open
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: IP3 receptor/Ca channel open probability.
is computational component for: Ca i.P open property

Ca i.c1
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Volume ratio of endoplasmic reticulum and cytosol
is computational component for: Ca i.c1 property

Ca i.k3
type: NamedIndividual
type: Decimal
has start value: 0.1
is discrete: false
is solution domain: false
is declared: true
comment: Activation constant for ATP-Ca pump
is computational component for: Ca i.k3 property
has unit: UNIT micromolar

Ca i.time
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Time domain
is computational component for: Ca i.time property
has unit: UNIT second

Ca i.v1
type: NamedIndividual
type: Decimal
has start value: 6.0
is discrete: false
is solution domain: false
is declared: true
comment: Max Ca channel flux
is computational component for: Ca i.v1 property
has unit: UNIT first order rate constant

Ca i.v2
type: NamedIndividual
type: Decimal
has start value: 0.11
is solution domain: false
is discrete: false
is declared: true
comment: Ca leak flux constant
is computational component for: Ca i.v2 property
has unit: UNIT first order rate constant

Ca i.v3
type: NamedIndividual
type: Decimal
has start value: 0.9
is discrete: false
is solution domain: false
is declared: true
comment: Max Ca uptake
is computational component for: Ca i.v3 property
has unit: UNIT second order rate constant

Ca i computation
type: NamedIndividual
type: Computation
has math ML: <apply> <eq /> <apply> <diff /> <bvar> <ci>time</ci> </bvar> <ci>Ca_i</ci> </apply> <apply> <minus /> <ci>J1</ci> <ci>J2</ci> </apply> </apply> <apply id="J1_calculation"> <eq /> <ci>J1</ci> <apply> <times /> <ci>c1</ci> <apply> <plus /> <apply> <times /> <ci>v1</ci> <ci>P_open</ci> </apply> <ci>v2</ci> </apply> <apply> <minus /> <ci>Ca_ER</ci> <ci>Ca_i</ci> </apply> </apply> </apply> <apply id="J2_calculation"> <eq /> <ci>J2</ci> <apply> <divide /> <apply> <times /> <ci>v3</ci> <apply> <power /> <ci>Ca_i</ci> <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.0</cn> </apply> </apply> <apply> <plus /> <apply> <power /> <ci>Ca_i</ci> <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.0</cn> </apply> <apply> <power /> <ci>k3</ci> <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.0</cn> </apply> </apply> </apply> </apply>
is computational component for: Ca i

Endoplasmic reticulum
type: NamedIndividual
refers to: Endoplasmic reticulum
has part: calcium ion
has part: IP3 Ca channel

Flow of calcium from cytosol to endoplasmic reticulum
type: NamedIndividual
type: Custom physical process
comment: Flow of calcium from cytosol to endoplasmic reticulum across Ca-IP3 channel.
has source: calcium ion
has sink: calcium ion
has physical property: Chemical concentration flow rate
has mediator: IP3 Ca channel 1

Axiom
has multiplier: 1.0
annotated property: hasMediator
annotated source: Flow of calcium from cytosol to endoplasmic reticulum
annotated target: IP3 Ca channel 1

Axiom
has multiplier: 1.0
annotated property: hasSink
annotated target: calcium ion
annotated source: Flow of calcium from cytosol to endoplasmic reticulum

Axiom
has multiplier: 1.0
annotated property: hasSource
annotated target: calcium ion
annotated source: Flow of calcium from cytosol to endoplasmic reticulum

Flow of calcium from endoplasmic reticulum to cytosol
type: NamedIndividual
type: Custom physical process
comment: Flow of calcium from endoplasmic reticulum to cytosol across Ca-IP3 receptor.
has sink: calcium ion
has source: calcium ion
has physical property: Chemical concentration flow rate
has mediator: IP3 Ca channel

Axiom
has multiplier: 1.0
annotated property: hasMediator
annotated source: Flow of calcium from endoplasmic reticulum to cytosol
annotated target: IP3 Ca channel

Axiom
has multiplier: 1.0
annotated property: hasSource
annotated target: calcium ion
annotated source: Flow of calcium from endoplasmic reticulum to cytosol

Axiom
has multiplier: 1.0
annotated property: hasSink
annotated target: calcium ion
annotated source: Flow of calcium from endoplasmic reticulum to cytosol

IP3
type: NamedIndividual
type: Submodel
name: IP3
has associated data structure: IP3.Ca i
has associated data structure: IP3.IP3
has associated data structure: IP3.Ir
has associated data structure: IP3.alpha
has associated data structure: IP3.k4
has associated data structure: IP3.time
has associated data structure: IP3.v4
has computational component: IP3 computation

IP3.Ca i
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Cytosolic free Ca concentration
is computational component for: Chemical concentration
has unit: UNIT micromolar

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
physical property of: calcium ion
has computational component: IP3.Ca i

IP3.IP3
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Concentration of IP3 in the cytosol.
is computational component for: Chemical concentration
has unit: UNIT micromolar
mapped to: probability of an open IP3 receptor channel.IP3

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
has computational component: IP3.IP3

IP3.Ir
type: NamedIndividual
type: Decimal
has start value: 1.0
is discrete: false
is solution domain: false
is declared: true
comment: IP3 loss rate constant
is computational component for: IP3.Ir property
has unit: UNIT flux

IP3.alpha
type: NamedIndividual
type: Decimal
has start value: 0.5
is discrete: false
is solution domain: false
is declared: true
is computational component for: IP3.alpha property

IP3.k4
type: NamedIndividual
type: Decimal
has start value: 1.1
is discrete: false
is solution domain: false
is declared: true
comment: Dissociation constant for Ca stimulation of IP3 production.
is computational component for: IP3.k4 property
has unit: UNIT micromolar

IP3.time
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Time domain
is computational component for: IP3.time property
has unit: UNIT second

IP3.v4
type: NamedIndividual
type: Decimal
has start value: 1.2
is solution domain: false
is discrete: false
is declared: true
comment: Maximum rate of IP3 production.
is computational component for: IP3.v4 property
has unit: UNIT first order rate constant

IP3 Ca channel
type: NamedIndividual
type: Custom physical entity
part of: Endoplasmic reticulum
is index entity for: IP3 Ca channel part of Endoplasmic reticulum

IP3 computation
type: NamedIndividual
type: Computation
has math ML: <apply> <eq /> <apply> <diff /> <bvar> <ci>time</ci> </bvar> <ci>IP3</ci> </apply> <apply> <minus /> <apply> <times /> <ci>v4</ci> <apply> <divide /> <apply> <plus /> <ci>Ca_i</ci> <apply> <times /> <apply> <minus /> <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.0</cn> <ci>alpha</ci> </apply> <ci>k4</ci> </apply> </apply> <apply> <plus /> <ci>Ca_i</ci> <ci>k4</ci> </apply> </apply> </apply> <apply> <times /> <ci>Ir</ci> <ci>IP3</ci> </apply> </apply> </apply>
is computational component for: IP3

Portion of cytosol
type: NamedIndividual
refers to: Portion of cytosol
has part: calcium ion

UNIT first order rate constant
type: NamedIndividual
type: Unit of measurement
has computational code: first_order_rate_constant
unit for: Ca i.v1
unit for: Ca i.v2
unit for: IP3.v4
has unit factor: UNIT second
unit for: constants.b1
unit for: constants.b2
unit for: constants.b3
unit for: constants.b4
unit for: constants.b5
unit for: receptor dissociation constants.b2
unit for: receptor dissociation constants.b3
unit for: receptor dissociation constants.b4
unit for: receptor dissociation constants.b5

Axiom
has unit factor exponent: -1.0
annotated property: hasUnitFactor
annotated source: UNIT first order rate constant
annotated target: UNIT second

UNIT flux
type: NamedIndividual
type: Unit of measurement
has computational code: flux
unit for: Ca i.J1
unit for: Ca i.J2
unit for: IP3.Ir
has unit factor: UNIT micromolar
has unit factor: UNIT second
unit for: fluxes.V1
unit for: fluxes.V2
unit for: fluxes.V3
unit for: fluxes.V4
unit for: x 000.V1
unit for: x 000.V3
unit for: x 001.V1
unit for: x 001.V4
unit for: x 010.V2
unit for: x 010.V3

Axiom
has unit factor exponent: -1.0
annotated property: hasUnitFactor
annotated source: UNIT flux
annotated target: UNIT second

UNIT litre
type: NamedIndividual
type: Unit of measurement
has computational code: litre
is fundamental unit: true
unit factor for: UNIT micromolar
unit factor for: UNIT nanomolar

UNIT micromolar
type: NamedIndividual
type: Unit of measurement
has computational code: micromolar
unit for: Ca ER.Ca ER
unit for: Ca ER.Ca i
unit for: Ca ER.c0
unit for: Ca i.Ca ER
unit for: Ca i.Ca i
unit for: Ca i.k3
unit for: IP3.Ca i
unit for: IP3.IP3
unit for: IP3.k4
unit factor for: UNIT flux
has unit factor: UNIT litre
has unit factor: UNIT mole
unit factor for: UNIT second order rate constant
unit for: constants.d1
unit for: fluxes.Ca i
unit for: fluxes.x 000
unit for: fluxes.x 001
unit for: fluxes.x 010
unit for: fluxes.x 011
unit for: probability of an open IP3 receptor channel.Ca i
unit for: probability of an open IP3 receptor channel.IP3
unit for: probability of an open IP3 receptor channel.d1
unit for: probability of an open IP3 receptor channel.d2
unit for: receptor dissociation constants.d1
unit for: receptor dissociation constants.d2
unit for: x 000.x 000
unit for: x 001.x 001
unit for: x 010.x 010
unit for: x 011.x 000
unit for: x 011.x 001
unit for: x 011.x 010
unit for: x 011.x 011

Axiom
has unit factor prefix: micro
annotated property: hasUnitFactor
annotated source: UNIT micromolar
annotated target: UNIT mole

Axiom
has unit factor exponent: -1.0
annotated property: hasUnitFactor
annotated target: UNIT litre
annotated source: UNIT micromolar

UNIT mole
type: NamedIndividual
type: Unit of measurement
has computational code: mole
is fundamental unit: true
unit factor for: UNIT micromolar
unit factor for: UNIT nanomolar

UNIT nanomolar
type: NamedIndividual
type: Unit of measurement
has computational code: nanomolar
has unit factor: UNIT litre
has unit factor: UNIT mole
unit for: constants.d3
unit for: constants.d4
unit for: fluxes.d4
unit for: fluxes.d5
unit for: probability of an open IP3 receptor channel.d3
unit for: probability of an open IP3 receptor channel.d5
unit for: receptor dissociation constants.IP3 cold
unit for: receptor dissociation constants.K d1
unit for: receptor dissociation constants.K d2
unit for: receptor dissociation constants.d3
unit for: receptor dissociation constants.d4
unit for: receptor dissociation constants.d5

Axiom
has unit factor exponent: -1.0
annotated property: hasUnitFactor
annotated target: UNIT litre
annotated source: UNIT nanomolar

Axiom
has unit factor prefix: nano
annotated property: hasUnitFactor
annotated target: UNIT mole
annotated source: UNIT nanomolar

UNIT second
type: NamedIndividual
type: Unit of measurement
has computational code: second
is fundamental unit: true
unit for: Ca ER.time
unit for: Ca i.time
unit for: IP3.time
unit factor for: UNIT first order rate constant
unit factor for: UNIT flux
unit factor for: UNIT second order rate constant
unit for: environment.time
unit for: fluxes.time
unit for: x 000.time
unit for: x 001.time
unit for: x 010.time

UNIT second order rate constant
type: NamedIndividual
type: Unit of measurement
has computational code: second_order_rate_constant
unit for: Ca i.v3
has unit factor: UNIT micromolar
has unit factor: UNIT second
unit for: constants.a1
unit for: constants.a2
unit for: constants.a3
unit for: constants.a4
unit for: constants.a5
unit for: fluxes.a4
unit for: fluxes.a5
unit for: receptor dissociation constants.a2
unit for: receptor dissociation constants.a3
unit for: receptor dissociation constants.a4
unit for: receptor dissociation constants.a5

Axiom
has unit factor exponent: -1.0
annotated property: hasUnitFactor
annotated target: UNIT micromolar
annotated source: UNIT second order rate constant

Axiom
has unit factor exponent: -1.0
annotated property: hasUnitFactor
annotated target: UNIT second
annotated source: UNIT second order rate constant

constants
type: NamedIndividual
type: Submodel
name: constants
has associated data structure: constants.a1
has associated data structure: constants.a2
has associated data structure: constants.a3
has associated data structure: constants.a4
has associated data structure: constants.a5
has associated data structure: constants.b1
has associated data structure: constants.b2
has associated data structure: constants.b3
has associated data structure: constants.b4
has associated data structure: constants.b5
has associated data structure: constants.c1
has associated data structure: constants.d1
has associated data structure: constants.d3
has associated data structure: constants.d4
has computational component: constants computation

constants.a1
type: NamedIndividual
type: Decimal
has start value: 400.0
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: IP3 receptor binding constant
has unit: UNIT second order rate constant
is computational component for: constants.a1 property

constants.a2
type: NamedIndividual
type: Decimal
has start value: 0.2
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Ca receptor binding constant (inhibition)
has unit: UNIT second order rate constant
is computational component for: constants.a2 property
mapped to: receptor dissociation constants.a2

constants.a3
type: NamedIndividual
type: Decimal
has start value: 400.0
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: IP3 receptor binding constant
has unit: UNIT second order rate constant
is computational component for: constants.a3 property
mapped to: receptor dissociation constants.a3

constants.a4
type: NamedIndividual
type: Decimal
has start value: 0.2
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: Ca receptor binding constant (inhibition)
has unit: UNIT second order rate constant
is computational component for: constants.a4 property
mapped to: fluxes.a4
mapped to: receptor dissociation constants.a4

constants.a5
type: NamedIndividual
type: Decimal
has start value: 20.0
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: Ca receptor binding constant (activation)
has unit: UNIT second order rate constant
is computational component for: constants.a5 property
mapped to: fluxes.a5
mapped to: receptor dissociation constants.a5

constants.b1
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT first order rate constant
is computational component for: constants.b1 property

constants.b2
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT first order rate constant
is computational component for: constants.b2 property
mapped to: receptor dissociation constants.b2

constants.b3
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT first order rate constant
is computational component for: constants.b3 property
mapped to: receptor dissociation constants.b3

constants.b4
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT first order rate constant
is computational component for: constants.b4 property
mapped to: receptor dissociation constants.b4

constants.b5
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT first order rate constant
is computational component for: constants.b5 property
mapped to: receptor dissociation constants.b5

constants.c1
type: NamedIndividual
type: Decimal
has start value: 0.185
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Volume ratio of endoplasmic reticulum and cytosol
mapped to: Ca ER.c1
mapped to: Ca i.c1
is computational component for: constants.c1 property

constants.d1
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: IP3 receptor dissociation constant
has unit: UNIT micromolar
is computational component for: constants.d1 property

constants.d3
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: IP3 receptor dissociation constant
has unit: UNIT nanomolar
is computational component for: constants.d3 property

constants.d4
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor dissociation constant (activation)
has unit: UNIT nanomolar
is computational component for: constants.d4 property

constants computation
type: NamedIndividual
type: Computation
has math ML: <apply id="b1_calculation"> <eq /> <ci>b1</ci> <apply> <times /> <ci>d1</ci> <ci>a1</ci> </apply> </apply> <apply id="b3_calculation"> <eq /> <ci>b3</ci> <apply> <times /> <ci>d3</ci> <ci>a3</ci> </apply> </apply> <apply id="b4_calculation"> <eq /> <ci>b4</ci> <apply> <times /> <ci>d4</ci> <ci>a4</ci> </apply> </apply>
is computational component for: constants

environment
type: NamedIndividual
type: Submodel
name: environment
has associated data structure: environment.time
has computational component: environment computation

environment.time
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Time domain
mapped to: Ca ER.time
mapped to: Ca i.time
mapped to: IP3.time
has unit: UNIT second
is computational component for: environment.time property
mapped to: fluxes.time
mapped to: x 000.time
mapped to: x 001.time
mapped to: x 010.time

fluxes
type: NamedIndividual
type: Submodel
name: fluxes
has associated data structure: fluxes.Ca i
has associated data structure: fluxes.V1
has associated data structure: fluxes.V2
has associated data structure: fluxes.V3
has associated data structure: fluxes.V4
has associated data structure: fluxes.a4
has associated data structure: fluxes.a5
has associated data structure: fluxes.d4
has associated data structure: fluxes.d5
has associated data structure: fluxes.time
has associated data structure: fluxes.x 000
has associated data structure: fluxes.x 001
has associated data structure: fluxes.x 010
has associated data structure: fluxes.x 011
has computational component: fluxes computation

fluxes.Ca i
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Cytosolic free Ca concentration
has unit: UNIT micromolar
is computational component for: Chemical concentration

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
physical property of: calcium ion
has computational component: fluxes.Ca i

fluxes.V1
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Change in free Ca concentration from Ca binding to unbound subunits and dissociation of Ca from bound inhibition receptor.
has unit: UNIT flux
is computational component for: fluxes.V1 property
mapped to: x 000.V1
mapped to: x 001.V1

fluxes.V2
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT flux
is computational component for: fluxes.V2 property
mapped to: x 010.V2

fluxes.V3
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT flux
is computational component for: fluxes.V3 property
mapped to: x 000.V3
mapped to: x 010.V3

fluxes.V4
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
has unit: UNIT flux
is computational component for: fluxes.V4 property
mapped to: x 001.V4

fluxes.a4
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor binding constant (inhibition)
has unit: UNIT second order rate constant
is computational component for: fluxes.a4 property

fluxes.a5
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor binding constant (activation)
has unit: UNIT second order rate constant
is computational component for: fluxes.a5 property

fluxes.d4
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor dissociation constant (activation)
has unit: UNIT nanomolar
is computational component for: fluxes.d4 property

fluxes.d5
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor dissociation constant (activation)
has unit: UNIT nanomolar
is computational component for: fluxes.d5 property

fluxes.time
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Time domain
has unit: UNIT second
is computational component for: fluxes.time property

fluxes.x 000
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Proportion of IP3 receptor subunits with all receptors unbound.
has unit: UNIT micromolar
is computational component for: fluxes.x 000 property

fluxes.x 001
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Proportion of IP3 receptor subunits with Ca inactivation site bound.
has unit: UNIT micromolar
is computational component for: fluxes.x 001 property

fluxes.x 010
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Proportion of IP3 receptor subunits with Ca activation site bound.
has unit: UNIT micromolar
is computational component for: fluxes.x 010 property

fluxes.x 011
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Proportion of IP3 receptor subunits with Ca activation and deactivation sites bound.
has unit: UNIT micromolar
is computational component for: fluxes.x 011 property

fluxes computation
type: NamedIndividual
type: Computation
has math ML: <apply id="V1_calculation"> <eq /> <ci>V1</ci> <apply> <times /> <ci>a4</ci> <apply> <minus /> <apply> <times /> <ci>Ca_i</ci> <ci>x_000</ci> </apply> <apply> <times /> <ci>d4</ci> <ci>x_001</ci> </apply> </apply> </apply> </apply> <apply id="V2_calculation"> <eq /> <ci>V2</ci> <apply> <times /> <ci>a4</ci> <apply> <minus /> <apply> <times /> <ci>Ca_i</ci> <ci>x_010</ci> </apply> <apply> <times /> <ci>d4</ci> <ci>x_011</ci> </apply> </apply> </apply> </apply> <apply id="V3_calculation"> <eq /> <ci>V3</ci> <apply> <times /> <ci>a5</ci> <apply> <minus /> <apply> <times /> <ci>Ca_i</ci> <ci>x_000</ci> </apply> <apply> <times /> <ci>d5</ci> <ci>x_010</ci> </apply> </apply> </apply> </apply> <apply id="V4_calculation"> <eq /> <ci>V4</ci> <apply> <times /> <ci>a5</ci> <apply> <minus /> <apply> <times /> <ci>Ca_i</ci> <ci>x_001</ci> </apply> <apply> <times /> <ci>d5</ci> <ci>x_011</ci> </apply> </apply> </apply> </apply>
is computational component for: fluxes

probability of an open IP3 receptor channel
type: NamedIndividual
type: Submodel
name: probability_of_an_open_IP3_receptor_channel
has associated data structure: probability of an open IP3 receptor channel.Ca i
has associated data structure: probability of an open IP3 receptor channel.IP3
has associated data structure: probability of an open IP3 receptor channel.P open
has associated data structure: probability of an open IP3 receptor channel.d1
has associated data structure: probability of an open IP3 receptor channel.d2
has associated data structure: probability of an open IP3 receptor channel.d3
has associated data structure: probability of an open IP3 receptor channel.d5
has computational component: probability of an open IP3 receptor channel computation

probability of an open IP3 receptor channel.Ca i
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Cytosolic free Ca concentration
has unit: UNIT micromolar
is computational component for: Chemical concentration

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
physical property of: calcium ion
has computational component: probability of an open IP3 receptor channel.Ca i

probability of an open IP3 receptor channel.IP3
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Concentration of IP3 in the cytosol.
has unit: UNIT micromolar
is computational component for: Chemical concentration

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
has computational component: probability of an open IP3 receptor channel.IP3

probability of an open IP3 receptor channel.P open
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: IP3 receptor/Ca channel open probability.
mapped to: Ca i.P open
is computational component for: probability of an open IP3 receptor channel.P open property

probability of an open IP3 receptor channel.d1
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: IP3 receptor dissociation constant
has unit: UNIT micromolar
is computational component for: probability of an open IP3 receptor channel.d1 property

probability of an open IP3 receptor channel.d2
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor dissociation constant (inhibition)
has unit: UNIT micromolar
is computational component for: probability of an open IP3 receptor channel.d2 property

probability of an open IP3 receptor channel.d3
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: IP3 receptor dissociation constant
has unit: UNIT nanomolar
is computational component for: probability of an open IP3 receptor channel.d3 property

probability of an open IP3 receptor channel.d5
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor dissociation constant (activation)
has unit: UNIT nanomolar
is computational component for: probability of an open IP3 receptor channel.d5 property

probability of an open IP3 receptor channel computation
type: NamedIndividual
type: Computation
has math ML: <apply id="P_open_calculation"> <eq /> <ci>P_open</ci> <apply> <power /> <apply> <divide /> <apply> <times /> <ci>Ca_i</ci> <ci>IP3</ci> <ci>d2</ci> </apply> <apply> <times /> <apply> <plus /> <apply> <times /> <ci>Ca_i</ci> <ci>IP3</ci> </apply> <apply> <times /> <ci>IP3</ci> <ci>d2</ci> </apply> <apply> <times /> <ci>d1</ci> <ci>d2</ci> </apply> <apply> <times /> <ci>Ca_i</ci> <ci>d3</ci> </apply> </apply> <apply> <plus /> <ci>Ca_i</ci> <ci>d5</ci> </apply> </apply> </apply> <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3.0</cn> </apply> </apply>
is computational component for: probability of an open IP3 receptor channel

receptor dissociation constants
type: NamedIndividual
type: Submodel
name: receptor_dissociation_constants
has associated data structure: receptor dissociation constants.IP3 cold
has associated data structure: receptor dissociation constants.K d1
has associated data structure: receptor dissociation constants.K d2
has associated data structure: receptor dissociation constants.a2
has associated data structure: receptor dissociation constants.a3
has associated data structure: receptor dissociation constants.a4
has associated data structure: receptor dissociation constants.a5
has associated data structure: receptor dissociation constants.b2
has associated data structure: receptor dissociation constants.b3
has associated data structure: receptor dissociation constants.b4
has associated data structure: receptor dissociation constants.b5
has associated data structure: receptor dissociation constants.d1
has associated data structure: receptor dissociation constants.d2
has associated data structure: receptor dissociation constants.d3
has associated data structure: receptor dissociation constants.d4
has associated data structure: receptor dissociation constants.d5
has computational component: receptor dissociation constants computation

receptor dissociation constants.IP3 cold
type: NamedIndividual
type: Decimal
has start value: 15.0
is discrete: false
is solution domain: false
is declared: true
has unit: UNIT nanomolar
is computational component for: Chemical concentration

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
has computational component: receptor dissociation constants.IP3 cold

receptor dissociation constants.K d1
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
is declared: true
has unit: UNIT nanomolar
is computational component for: Chemical concentration

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
has computational component: receptor dissociation constants.K d1

receptor dissociation constants.K d2
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
is declared: true
has unit: UNIT nanomolar
is computational component for: Chemical concentration

Chemical concentration
type: NamedIndividual
refers to: Chemical concentration
has computational component: receptor dissociation constants.K d2

receptor dissociation constants.a2
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor binding constant (inhibition)
has unit: UNIT second order rate constant
is computational component for: receptor dissociation constants.a2 property

receptor dissociation constants.a3
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: IP3 receptor binding constant
has unit: UNIT second order rate constant
is computational component for: receptor dissociation constants.a3 property

receptor dissociation constants.a4
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor binding constant (inhibition)
has unit: UNIT second order rate constant
is computational component for: receptor dissociation constants.a4 property

receptor dissociation constants.a5
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Ca receptor binding constant (activation)
has unit: UNIT second order rate constant
is computational component for: receptor dissociation constants.a5 property

receptor dissociation constants.b2
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT first order rate constant
is computational component for: receptor dissociation constants.b2 property

receptor dissociation constants.b3
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT first order rate constant
is computational component for: receptor dissociation constants.b3 property

receptor dissociation constants.b4
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT first order rate constant
is computational component for: receptor dissociation constants.b4 property

receptor dissociation constants.b5
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT first order rate constant
is computational component for: receptor dissociation constants.b5 property

receptor dissociation constants.d1
type: NamedIndividual
type: Decimal
has start value: 0.13
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: IP3 receptor dissociation constant
has unit: UNIT micromolar
mapped to: constants.d1
mapped to: probability of an open IP3 receptor channel.d1
is computational component for: receptor dissociation constants.d1 property

receptor dissociation constants.d2
type: NamedIndividual
type: Decimal
has start value: 1.049
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: Ca receptor dissociation constant (inhibition)
has unit: UNIT micromolar
mapped to: probability of an open IP3 receptor channel.d2
is computational component for: receptor dissociation constants.d2 property

receptor dissociation constants.d3
type: NamedIndividual
type: Decimal
has start value: 943.4
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: IP3 receptor dissociation constant
has unit: UNIT nanomolar
mapped to: constants.d3
mapped to: probability of an open IP3 receptor channel.d3
is computational component for: receptor dissociation constants.d3 property

receptor dissociation constants.d4
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: Ca receptor dissociation constant (activation)
has unit: UNIT nanomolar
mapped to: constants.d4
mapped to: fluxes.d4
is computational component for: receptor dissociation constants.d4 property

receptor dissociation constants.d5
type: NamedIndividual
type: Decimal
has start value: 82.34
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: Ca receptor dissociation constant (activation)
has unit: UNIT nanomolar
mapped to: fluxes.d5
mapped to: probability of an open IP3 receptor channel.d5
is computational component for: receptor dissociation constants.d5 property

receptor dissociation constants computation
type: NamedIndividual
type: Computation
has math ML: <apply id="d1_calculation"> <eq /> <ci>d1</ci> <apply> <minus /> <ci>K_d1</ci> <ci>IP3_cold</ci> </apply> </apply> <apply id="d2_calculation"> <eq /> <ci>d2</ci> <apply> <divide /> <ci>b2</ci> <ci>a2</ci> </apply> </apply> <apply id="d3_calculation"> <eq /> <ci>d3</ci> <apply> <minus /> <apply> <times /> <apply> <minus /> <ci>K_d2</ci> <ci>IP3_cold</ci> </apply> <apply> <plus /> <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn> <ci>d2</ci> </apply> </apply> <apply> <times /> <ci>d1</ci> <ci>d2</ci> </apply> </apply> </apply> <apply id="d4_calculation"> <eq /> <ci>d4</ci> <apply> <divide /> <apply> <times /> <ci>d1</ci> <ci>d2</ci> </apply> <ci>d3</ci> </apply> </apply> <apply id="d5_calculation"> <eq /> <ci>d5</ci> <apply> <divide /> <ci>b5</ci> <ci>a5</ci> </apply> </apply>
is computational component for: receptor dissociation constants

x_000
type: NamedIndividual
type: Submodel
name: x_000
has associated data structure: x 000.V1
has associated data structure: x 000.V3
has associated data structure: x 000.time
has associated data structure: x 000.x 000
has computational component: x 000 computation

x 000.V1
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT flux
is computational component for: x 000.V1 property

x 000.V3
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT flux
is computational component for: x 000.V3 property

x 000.time
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Time domain
has unit: UNIT second
is computational component for: x 000.time property

x 000.x 000
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Proportion of IP3 receptor subunits with all receptors unbound.
has unit: UNIT micromolar
mapped to: fluxes.x 000
is computational component for: x 000.x 000 property
mapped to: x 011.x 000

x 000 computation
type: NamedIndividual
type: Computation
has math ML: <apply id="x_000_diff_eq"> <eq /> <apply> <diff /> <bvar> <ci>time</ci> </bvar> <ci>x_000</ci> </apply> <apply> <minus /> <apply> <minus /> <ci>V1</ci> </apply> <ci>V3</ci> </apply> </apply>
is computational component for: x_000

x_001
type: NamedIndividual
type: Submodel
name: x_001
has associated data structure: x 001.V1
has associated data structure: x 001.V4
has associated data structure: x 001.time
has associated data structure: x 001.x 001
has computational component: x 001 computation

x 001.V1
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Change in free Ca concentration from Ca binding to unbound subunits and dissociation of Ca from bound inhibition receptor.
has unit: UNIT flux
is computational component for: x 001.V1 property

x 001.V4
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT flux
is computational component for: x 001.V4 property

x 001.time
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Time domain
has unit: UNIT second
is computational component for: x 001.time property

x 001.x 001
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Proportion of IP3 receptor subunits with Ca inactivation site bound.
has unit: UNIT micromolar
mapped to: fluxes.x 001
is computational component for: x 001.x 001 property
mapped to: x 011.x 001

x 001 computation
type: NamedIndividual
type: Computation
has math ML: <apply id="x_001_diff_eq"> <eq /> <apply> <diff /> <bvar> <ci>time</ci> </bvar> <ci>x_001</ci> </apply> <apply> <minus /> <ci>V1</ci> <ci>V4</ci> </apply> </apply>
is computational component for: x_001

x_010
type: NamedIndividual
type: Submodel
name: x_010
has associated data structure: x 010.V2
has associated data structure: x 010.V3
has associated data structure: x 010.time
has associated data structure: x 010.x 010
has computational component: x 010 computation

x 010.V2
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT flux
is computational component for: x 010.V2 property

x 010.V3
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
has unit: UNIT flux
is computational component for: x 010.V3 property

x 010.time
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Time domain
has unit: UNIT second
is computational component for: x 010.time property

x 010.x 010
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: out
is declared: true
comment: Proportion of IP3 receptor subunits with Ca activation site bound.
has unit: UNIT micromolar
mapped to: fluxes.x 010
is computational component for: x 010.x 010 property
mapped to: x 011.x 010

x 010 computation
type: NamedIndividual
type: Computation
has math ML: <apply id="x_010_diff_eq"> <eq /> <apply> <diff /> <bvar> <ci>time</ci> </bvar> <ci>x_010</ci> </apply> <apply> <minus /> <ci>V3</ci> <ci>V2</ci> </apply> </apply>
is computational component for: x_010

x_011
type: NamedIndividual
type: Submodel
name: x_011
has associated data structure: x 011.x 000
has associated data structure: x 011.x 001
has associated data structure: x 011.x 010
has associated data structure: x 011.x 011
has computational component: x 011 computation

x 011.x 000
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Proportion of IP3 receptor subunits with all receptors unbound.
has unit: UNIT micromolar
is computational component for: x 011.x 000 property

x 011.x 001
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: in
is declared: true
comment: Proportion of IP3 receptor subunits with Ca inactivation site bound.
has unit: UNIT micromolar
is computational component for: x 011.x 001 property

x 011.x 010
type: NamedIndividual
type: Decimal
is discrete: false
is solution domain: false
has cell m lpublic interface: in
is declared: true
comment: Proportion of IP3 receptor subunits with Ca activation site bound.
has unit: UNIT micromolar
is computational component for: x 011.x 010 property

x 011.x 011
type: NamedIndividual
type: Decimal
is solution domain: false
is discrete: false
has cell m lpublic interface: out
is declared: true
comment: Proportion of IP3 receptor subunits with Ca activation and deactivation sites bound.
has unit: UNIT micromolar
mapped to: fluxes.x 011
is computational component for: x 011.x 011 property

x 011 computation
type: NamedIndividual
type: Computation
has math ML: <apply id="x_011_eq"> <eq /> <ci>x_011</ci> <apply> <minus /> <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.0</cn> <apply> <plus /> <ci>x_000</ci> <ci>x_001</ci> <ci>x_010</ci> </apply> </apply> </apply>
is computational component for: x_011