188989
constant: true
value: NaN
name: time
type: Parameter

189025
constant: true
value: 5.0
name: G
type: Parameter

189050
constant: true
value: 3.8
name: V
type: Parameter

189343
constant: true
value: 0.034
name: Vs
type: Parameter

189148
constant: false
value: NaN
name: J
type: Parameter

189111
constant: true
value: 2.1E-6
name: D_I
type: Parameter

189013
constant: false
value: 0.0
name: G_i
type: Parameter

189355
constant: true
value: 0.13
name: Ks
type: Parameter

189123
constant: true
value: NaN
name: C
type: Parameter

189185
constant: true
value: 1.0E-6
name: K_inh
type: Parameter

189306
constant: true
value: 17.0
name: K2
type: Parameter

189135
constant: true
value: NaN
name: D
type: Parameter

189221
constant: true
value: 9.8
name: Km
type: Parameter

189209
constant: true
value: 0.24
name: Vm
type: Parameter

188977
constant: true
size: 1.0
spatial dimensions: 3.0
type: Compartment

189099
constant: true
value: 0.0
name: I
type: Parameter

189318
constant: true
value: NaN
name: Jm
type: Parameter

189331
constant: false
value: NaN
name: Rs
type: Parameter

189270
constant: true
value: 4.0E-5
name: Ki
type: Parameter

189062
constant: true
value: 6.6E-6
name: D_G
type: Parameter

189074
constant: true
value: NaN
name: A
type: Parameter

MODEL1201140001
rule: 189451
curated: false
parameter: 189282
parameter: 189197
parameter: 189258
parameter: 189331
parameter: 189306
parameter: 189074
type: SBMLModel
parameter: 189062
parameter: 189355
parameter: 189001
parameter: 189343
parameter: 189246
parameter: 189086
parameter: 189111
parameter: 189025
rule: 189403
parameter: 189234
parameter: 189013
parameter: 189135
parameter: 189050
parameter: 189318
length unit: 802859
parameter: 189123
parameter: 189367
is described by: http://identifiers.org/pubmed/11497161
rule: 189415
parameter: 189160
rule: 189427
rule: 189439
notes: This a model from the article: Diffusion induced oscillatory insulin secretion. Keener JP. Bull Math Biol. 2001 Jul;63(4):625-41. 11497161 , Abstract: Oscillatory secretion of insulin has been observed in many different experimental preparations. Here we examine a mathematical model for in vitro insulin secretion from pancreatic beta cells in a flow-through reactor. The analysis shows that oscillations result because of an important interplay between flow rate of the reactor and insulin diffusion. In particular, if the ratio of flow rate to volume of the reaction bed is too large, oscillations are eliminated, in contradiction to the conclusions of Maki and Keizer (L. W. Maki and Keizer J. Mathematical analysis of a proposed mechanism for oscillatory insulin secretion in perifused HIT-15 cells. Bull. Math. Biol., 57(1995), 569-591). Furthermore, with reasonable numbers for the experimental parameters and the diffusion of insulin, the model equations do not exhibit oscillations. This model was taken from the CellML repository and automatically converted to SBML. The original model was: Keener (2001) The original CellML model was created by: Catherine Lloyd c.lloyd@aukland.ac.nz The University of Auckland The Bioengineering Institute This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2011 The BioModels.net Team. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information. In summary, you are entitled to use this encoded model in absolutely any manner you deem suitable, verbatim, or with modification, alone or embedded it in a larger context, redistribute it, commercially or not, in a restricted way or not.. To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li …
parameter: 188989
substance units: 163161
parameter: 189099
area units: 802883
parameter: 189270
parameter: 189038
parameter: 189185
parameter: 189172
time units: 152087
volume units: 122997
parameter: 189209
rule: 189379
name: Keener2001_OscillatoryInsulinSecretionModel
parameter: 189148
rule: 189391
compartment: 188977
parameter: 189221
parameter: 189294

189258
constant: true
value: 1.4
name: K1
type: Parameter

189197
constant: false
value: NaN
name: Rm
type: Parameter

189294
constant: true
value: 32.0
name: V2
type: Parameter

189001
constant: true
value: NaN
name: rho
type: Parameter

189086
constant: true
value: NaN
name: B
type: Parameter

189234
constant: false
value: NaN
name: R1
type: Parameter

189246
constant: true
value: 120.0
name: V1
type: Parameter

189367
constant: true
value: 0.01
name: L
type: Parameter

189038
constant: true
value: 0.1
name: x
type: Parameter

189282
constant: false
value: NaN
name: R2
type: Parameter

189160
constant: false
value: 2.1E-6
name: J_infinity
type: Parameter

189172
constant: true
value: 20.0
name: J_tau
type: Parameter