sodium potassium active transport.V
is version of: OPB_00506
description: membrane potential

voltage dependent potassium current.n
description: gating variable of voltage-dependent potassium current

sodium calcium exchanger.T
description: absolute temperature

SERCA pump.Jer p
is version of: OPB_00593
description: calcium uptake of the endoplasmic reticulum by SERCA pumps

calcium and sodium dynamics.i CRAN
is version of: OPB_00318
description: calcium release-activated nonselective cation current

membrane.Cm
description: membrane capacitance

ATP dependent potassium current.Kdd
is property of: entity_0
is version of: OPB_00340
description: dissociation constant

ATP dependent potassium current.Ktt
is property of: entity_0
is version of: OPB_00340
description: dissociation constant

sodium current.i Na
is version of: OPB_00318
description: inward sodium current

sodium current p Na gate.V
is version of: OPB_00506
description: membrane potential

sodium potassium active transport.Nao
is property of: entity 6
is version of: OPB_00340
description: concentration of extracellular sodium

cell and external parameters.Ko
is property of: entity 11
is version of: OPB_00340
description: concentration of extracellular potassium

voltage dependent potassium current.Ko
is property of: entity 11
is version of: OPB_00340
description: concentration of extracellular potassium

sodium current.Nai
is property of: entity 5
is version of: OPB_00340
description: concentration of intracellular sodium

nonselective cation current.CaER
is property of: entity 7
is version of: OPB_00340
description: concentration of calcium in endoplasmic reticulum

SERCA pump.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

nonselective cation current.V CRAN
description: reversal potential of calcium release-activated nonselective cation current

nonselective cation current.gm CRAN
description: maximum conductance coefficient of calcium release-activated nonselective cation current

CaER mobilisation.O infinity
description: fraction of open IP3-activated calcium channels

sodium current.p Na
description: current-voltage relationship of sodium current

voltage dependent potassium current.i KDr
is version of: OPB_00318
description: delayed rectifier potassium current

voltage dependent potassium current n gate.n
description: gating variable of voltage-dependent potassium current

sodium potassium active transport.Ko
is property of: entity 11
is version of: OPB_00340
description: concentration of extracellular potassium

sodium current p Na gate.p Na
description: current-voltage relationship of sodium current

calcium and sodium dynamics.i VCa
is version of: OPB_00318
description: voltage-dependent calcium current

voltage dependent potassium current.gm KDr
description: maximum conductance of delayed rectifier potassium current

whole cell calcium current.Cao
is property of: entity 3
is version of: OPB_00340
description: concentration of free extracellular calcium

PM calcium pumps.K Cap
is property of: entity_0
is version of: OPB_00340
description: half-maximal pump activity of plasma membrane calcium pumps

sodium calcium exchanger.V
is version of: OPB_00506
description: membrane potential

membrane.i NaCa
is version of: OPB_00318
description: sodium-calcium exchange current

ATP dependent potassium current.ATPi
is property of: entity 9
is version of: OPB_00340
description: concentration of cytosolic ATP

ATP homeostasis.ATPi
is property of: entity 9
is version of: OPB_00340
description: concentration of cytosolic ATP

PM calcium pumps.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

nonselective cation current.P CRAN
is version of: OPB_00506
description: reversal potential of non-selective cation current

membrane.i KATP
is version of: OPB_00318
description: ATP-dependent potassium current

ATP dependent potassium current.ADPi
is property of: entity 10
is version of: OPB_00340
description: concentration of cytosolic ADP

SERCA pump.K Carp
is property of: entity_0
is version of: OPB_00340
description: half maximal pump activity of SERCA pumps

membrane.i Ca pump
is version of: OPB_00318
description: plasma membrane calcium pump current

calcium dependent potassium current fCa gate.fCa
description: voltage-independent component of calcium-dependent potassium current

voltage dependent potassium current n gate.Sn
description: slope at half-maximal potential

calcium and sodium dynamics.fer
description: fraction of free calcium in endoplasmic reticulum

calcium and sodium dynamics.Vi
is property of: entity 15
is version of: OPB_00154
description: intracellular volume

whole cell calcium current p VCa gate.K Cah
description: slope of voltage-dependent calcium current at half-maximum potential

membrane.i NaK
is version of: OPB_00318
description: sodium-potassium pump current

calcium and sodium dynamics.fi
description: fraction of free calcium in cytoplasm

calcium dependent potassium current.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

cell and external parameters.T
description: absolute temperature

ATP homeostasis.ADPi
is property of: entity 10
is version of: OPB_00340
description: concentration of cytosolic ADP

cell and external parameters.Nao
is property of: entity 6
is version of: OPB_00340
description: concentration of extracellular sodium

calcium and sodium dynamics.Ver
is property of: entity 14
is version of: OPB_00154
description: volume of endoplasmic reticulum

calcium dependent potassium current.V K
is version of: OPB_00506
description: potassium reversal potential

voltage dependent potassium current n gate.a
description: adjustable coefficient

CaER mobilisation.P IP3
description: maximum endoplasmic reticulum calcium permeability through open IP3-activated channels

CaER mobilisation.IP3i
is property of: entity 13
is version of: OPB_00340
description: concentration of cytosolic IP3

sodium calcium exchanger.Nao
is property of: entity 6
is version of: OPB_00340
description: concentration of extracellular sodium

sodium potassium active transport.T
description: absolute temperature

ATP dependent potassium current.V K
is version of: OPB_00506
description: potassium reversal potential

calcium and sodium dynamics.i NaCa
is version of: OPB_00318
description: sodium-calcium exchange current

calcium dependent potassium current.fCa
description: voltage-independent component of calcium-dependent potassium current

calcium dependent potassium current fCa gate.K KCa
is property of: entity_0
is version of: OPB_00340
description: affinity constant of voltage-dependent small conductance calcium-activated potassium current

sodium calcium exchanger.Cao
is property of: entity 3
is version of: OPB_00340
description: concentration of free extracellular calcium

ATP dependent potassium current.O KATP
description: fraction of ATP-sensitive potassium channels open

voltage dependent potassium current.Ki
is property of: entity 12
is version of: OPB_00340
description: concentration of intracellular potassium

cell and external parameters.Ki
is property of: entity 12
is version of: OPB_00340
description: concentration of intracellular potassium

sodium calcium exchanger.V NaCa
is version of: OPB_00506
description: reversal potential of sodium-calcium exchanger

ATP dependent potassium current.i KATP
is version of: OPB_00318
description: ATP-dependent potassium current

voltage dependent potassium current.V K
is version of: OPB_00506
description: potassium reversal potential

nonselective cation current.K Car
is property of: entity_0
is version of: OPB_00340
description: half-activation endoplasmic reticulum calcium concentration level of calcium release-activated nonselective cation current

voltage dependent potassium current.V
is version of: OPB_00506
description: membrane potential

cell and external parameters.Cao
is property of: entity 3
is version of: OPB_00340
description: concentration of free extracellular calcium

whole cell calcium current.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

ATP dependent potassium current.Ktd
is property of: entity_0
is version of: OPB_00340
description: dissociation constant

membrane.V
is version of: OPB_00506
description: membrane potential

ATP homeostasis.i CRAN
is version of: OPB_00318
description: calcium release-activated nonselective cation current

CaER mobilisation.J out
is version of: OPB_00593
description: calcium leak current out of the endoplasmic reticulum

CaER mobilisation.K IP3
is property of: entity 13
is version of: OPB_00340
description: affinity constant of intracellular IP3 to IP3 receptor

whole cell calcium current.i VCa
is version of: OPB_00318
description: voltage-dependent calcium current

IP3 metabolism.kdIP
is: OPB_01296
description: IP3 degradation rate

membrane.i CRAN
is version of: OPB_00318
description: calcium release-activated nonselective cation current

sodium current.V
is version of: OPB_00506
description: membrane potential

voltage dependent potassium current.T
description: absolute temperature

CaER mobilisation.K RCa
is property of: entity_0
is version of: OPB_00340
description: affinity constant of intracellular calcium to IP3 receptor

sodium calcium exchanger.g NaCa
description: maximum conductance of sodium-calcium exchange current

calcium and sodium dynamics.i NaK
is version of: OPB_00318
description: sodium-potassium pump current

whole cell calcium current p VCa gate.p VCa
description: current-voltage relationship of voltage-dependent calcium current

calcium dependent potassium current.i KCa
is version of: OPB_00318
description: voltage-dependent small conductance calcium-activated potassium current

nonselective cation current.V
is version of: OPB_00506
description: membrane potential

IP3 metabolism.K IPCa
is property of: entity_0
is version of: OPB_00340
description: half activation intracellular calcium concentration of IP3 metabolism

calcium dependent potassium current.gm KCa
description: maximum conductance of voltage-dependent small conductance calcium-activated potassium current

sodium current.gm Na
description: maximum conductance of inward sodium current

nonselective cation current.i CRAN
is version of: OPB_00318
description: calcium release-activated nonselective cation current

fridlyand tamarina philipson 2003 version01
is described by: 12644446
model name: fridlyand_tamarina_philipson_2003_version01
unknown: Pancreatic Beta-cell
model name: fridlyand_tamarina_philipson_2003
has cell m ldocumentation: <documentation xmlns="http://cellml.org/tmp-documentation"> <articleinfo> Modelling Ca2+ Flux in Pancreatic Beta-cells <author> <firstname>Catherine</firstname> <surname>Lloyd</surname> <affiliation> <shortaffil>Bioengineering Institute, University of Auckland</shortaffil> </affiliation> </author> </articleinfo> Model Status This is the original unchecked version of the model imported from the previous CellML model repository, 24-Jan-2006. <sect1 id="sec_structure"> Model Structure An increase in the concentration of intracellular free calcium ([Ca <superscript>2+</superscript> ] <subscript>i</subscript> ) is an essential signal for the initiation of insulin secretion in pancreatic beta-cells. This increase is primarily due to the opening of Ca <superscript>2+</superscript> channels in the plasma membrane in response to glucose. Glucose metabolism leads to an increase in the cytosolic ATP:ADP ratio, which in turn causes the ATP-sensitive potassium channels to close. The beta-cell membrane becomes depolarised, Ca <superscript>2+</superscript> channels open, and Ca <superscript>2+</superscript> enters the cell. These events underlie the glucose-induced electrical activity, which in pancreatic islets, consists of Ca <superscript>2+</superscript> -dependent action potentials. There is an abundance of literature that describes beta-cell electrical activity and its relationship to [Ca <superscript>2+</superscript> ] <subscript>i</subscript> . Complex and cyclic spike-burst activity, and corresponding [Ca <superscript>2+</superscript> ] <subscript>i</subscript> oscillations in pancreatic islets and beta-cell clusters are induced in response to a rise in extracellular glucose concentration. Intermediate glucose concentrations induce both fast and slow oscillations. The authors of this current study: Fridlyand, Tamarina and Philipson, have previously studied slow and fast [Ca <superscript>2+</superscript> ] <subscript>i</subscript> oscillations in islets in response to a var…
unknown: Fridlyand et al's 2003 mathematical model of Ca2+ fluxes in pancreatic beta-cells.

PM calcium pumps.i Ca pump
is version of: OPB_00318
description: plasma membrane calcium pump current

sodium calcium exchanger.K NaCa
is property of: entity_0
is version of: OPB_00340
description: calcium affinity constant of sodium-calcium exchange current

calcium and sodium dynamics.J out
is version of: OPB_00593
description: calcium leak current out of the endoplasmic reticulum

membrane.i KDr
is version of: OPB_00318
description: delayed rectifier potassium current

ATP homeostasis.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

sodium potassium active transport.ADPi
is property of: entity 10
is version of: OPB_00340
description: concentration of cytosolic ADP

whole cell calcium current p VCa gate.V
is version of: OPB_00506
description: membrane potential

ATP homeostasis.Vi
is property of: entity 15
is version of: OPB_00154
description: intracellular volume

sodium current.Nao
is property of: entity 6
is version of: OPB_00340
description: concentration of extracellular sodium

voltage dependent potassium current n gate.b
description: adjustable coefficient

sodium potassium active transport.ATPi
is property of: entity 9
is version of: OPB_00340
description: concentration of cytosolic ATP

SERCA pump.P CaER
description: maximum pumping rate of SERCA pumps

ATP homeostasis.i NaK
is version of: OPB_00318
description: sodium-potassium pump current

ATP dependent potassium current.V
is version of: OPB_00506
description: membrane potential

voltage dependent potassium current n gate.n infinity
description: steady-state value of gating variable of voltage-dependent potassium current

voltage dependent potassium current n gate.tau n
description: relaxation time constant

ATP homeostasis.k ATP Ca
is: OPB_01296
description: rate constant of permanent ATP consumption

ATP homeostasis.Ao
is property of: entity 16
is version of: OPB_00340
description: concentration of intracellular nucleotides

sodium current.T
description: absolute temperature

voltage dependent potassium current n gate.c
description: adjustable coefficient

CaER mobilisation.CaER
is property of: entity 7
is version of: OPB_00340
description: concentration of calcium in endoplasmic reticulum

calcium and sodium dynamics.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

sodium potassium active transport.i NaK
is version of: OPB_00318
description: sodium-potassium pump current

cell and external parameters.Vi
is property of: entity 15
is version of: OPB_00154
description: intracellular volume

whole cell calcium current.gm VCa
description: maximum conductance of voltage-dependent calcium current

calcium and sodium dynamics.i Na
is version of: OPB_00318
description: inward sodium current

sodium calcium exchanger.Nai
is property of: entity 5
is version of: OPB_00340
description: concentration of intracellular sodium

whole cell calcium current.V Ca
is version of: OPB_00506
description: calcium reversal potential

ATP homeostasis.Jer p
is version of: OPB_00593
description: calcium uptake of the endoplasmic reticulum by SERCA pumps

sodium calcium exchanger.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

sodium current.V Na
is version of: OPB_00506
description: sodium reversal potential

calcium and sodium dynamics.Jer p
is version of: OPB_00593
description: calcium uptake of the endoplasmic reticulum by SERCA pumps

sodium potassium active transport.P NaK
description: current coefficient of sodium-potassium pump

IP3 metabolism.kIP
is: OPB_01296
description: IP3 production rate

whole cell calcium current p VCa gate.V Cah
description: half-activation potential of voltage-dependent calcium current

calcium and sodium dynamics.Nai
is property of: entity 5
is version of: OPB_00340
description: concentration of intracellular sodium

membrane.i KCa
is version of: OPB_00318
description: voltage-dependent small conductance calcium-activated potassium current

ATP dependent potassium current.gm KATP
description: maximum conductance of ATP-dependent potassium current

nonselective cation current.f CRAN
description: voltage-independent component of non-selective cation current

nonselective cation current.V Na
is version of: OPB_00506
description: sodium reversal potential

whole cell calcium current.V
is version of: OPB_00506
description: membrane potential

membrane.i Na
is version of: OPB_00318
description: inward sodium current

membrane.i VCa
is version of: OPB_00318
description: voltage-dependent calcium current

voltage dependent potassium current n gate.Vtau
description: adjustable coefficient

calcium and sodium dynamics.ksg
is: OPB_01296
description: coefficient of calcium sequestration rate

calcium and sodium dynamics.CaER
is property of: entity 7
is version of: OPB_00340
description: concentration of calcium in endoplasmic reticulum

CaER mobilisation.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

voltage dependent potassium current n gate.V
is version of: OPB_00506
description: membrane potential

voltage dependent potassium current n gate.Vn
description: half-activation potential of voltage-dependent potassium current

PM calcium pumps.Pm Cap
description: maximum plasma membrane calcium pump current

IP3 metabolism.IP3i
is property of: entity 13
is version of: OPB_00340
description: concentration of cytosolic IP3

IP3 metabolism.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

sodium potassium active transport.Nai
is property of: entity 5
is version of: OPB_00340
description: concentration of intracellular sodium

calcium dependent potassium current.V
is version of: OPB_00506
description: membrane potential

whole cell calcium current.p VCa
description: current-voltage relationship of voltage-dependent calcium current

ATP homeostasis.i Ca pump
is version of: OPB_00318
description: plasma membrane calcium pump current

ATP homeostasis.k ADP
is: OPB_01296
description: rate constant of ATP production

CaER mobilisation.P leak
description: calcium leak permeability out of the endoplasmic reticulum

calcium and sodium dynamics.i Ca pump
is version of: OPB_00318
description: plasma membrane calcium pump current

whole cell calcium current.T
description: absolute temperature

calcium dependent potassium current fCa gate.Cai
is property of: entity_0
is version of: OPB_00340
description: concentration of free intracellular calcium

ATP homeostasis.k ATP
is: OPB_01296
description: rate constant of calcium-dependent ATP consumption

sodium calcium exchanger.i NaCa
is version of: OPB_00318
description: sodium-calcium exchange current