MODEL1201140001
type: SBMLModel
rule: 189451
curated: false
parameter: 189282
parameter: 189197
parameter: 189258
parameter: 189331
parameter: 189306
parameter: 189074
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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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