274473
constant: true
size: 1.0
spatial dimensions: 3.0
name: cell
type: Compartment

274474
initial amount: NaN
is version of: CHEBI:17234
name: glucose
in compartment: 274473
has only substance units: false
is: SBO:0000247
boundary condition: true
type: Species
is version of: C00293
constant: false
initial concentration: 250.0

274475
in compartment: 274473
has only substance units: false
boundary condition: true
type: Species
is: SBO:0000252
constant: false
name: insulin
initial amount: NaN
is version of: P01308
initial concentration: 2.8

274477
in compartment: 274473
has only substance units: false
name: Mass
initial concentration: 37.0
type: Species
constant: false
occurs in: BTO:0000991
boundary condition: true
initial amount: NaN
is version of: BTO:0000783
is: SBO:0000240

274490
is: SBO:0000009
constant: true
value: 43.2
name: sigma
type: Parameter

274500
is: SBO:0000009
constant: true
value: 2.4E-6
name: r2
type: Parameter

BIOMD0000000341
compartment: 274473
parameter: 274488
rule: 274480
area units: area
parameter: 274498
creator:
  ORG:
    orgname: EMBL-EBI
  n:
    given: Ishan
    family: Ajmera
species: 274475
length unit: length
parameter: 274490
created:
  W3 CDTF: Thu Jul 07 16:51:17 BST 2011
occurs in: http://identifiers.org/taxonomy/9606
volume units: 058815
name: Topp2000_BetaCellMass_Diabetes
rule: 274479
is described by: http://identifiers.org/pubmed/11013117
species: 274477
substance units: 186716
rule: 274482
parameter: 274492
curated: true
time units: 186692
type: SBMLModel
parameter: 274484
parameter: 274494
modified:
  W3 CDTF: Fri Jun 07 16:37:12 BST 2013
parameter: 274486
notes: This model is from the article: A model of beta-cell mass, insulin, and glucose kinetics: pathways to diabetes. Topp B, Promislow K, deVries G, Miura RM, Finegood DT. J Theor Biol. 2000 Oct 21;206(4):605-19. 11013117 , Abstract: Diabetes is a disease of the glucose regulatory system that is associated with increased morbidity and early mortality. The primary variables of this system are beta-cell mass, plasma insulin concentrations, and plasma glucose concentrations. Existing mathematical models of glucose regulation incorporate only glucose and/or insulin dynamics. Here we develop a novel model of beta -cell mass, insulin, and glucose dynamics, which consists of a system of three nonlinear ordinary differential equations, where glucose and insulin dynamics are fast relative to beta-cell mass dynamics. For normal parameter values, the model has two stable fixed points (representing physiological and pathological steady states), separated on a slow manifold by a saddle point. Mild hyperglycemia leads to the growth of the beta -cell mass (negative feedback) while extreme hyperglycemia leads to the reduction of the beta-cell mass (positive feedback). The model predicts that there are three pathways in prolonged hyperglycemia: (1) the physiological fixed point can be shifted to a hyperglycemic level (regulated hyperglycemia), (2) the physiological and saddle points can be eliminated (bifurcation), and (3) progressive defects in glucose and/or insulin dynamics can drive glucose levels up at a rate faster than the adaptation of the beta -cell mass which can drive glucose levels down (dynamical hyperglycemia).
species: 274474
is: MODEL1106270000
is version of: GO:0061178
parameter: 274500
parameter: 274496

274492
is: SBO:0000009
constant: true
value: 20000.0
name: alpha
type: Parameter

274498
is: SBO:0000009
constant: true
value: 8.4E-4
name: r1
type: Parameter

274494
is: SBO:0000009
constant: true
value: 432.0
name: k
type: Parameter

274486
is: SBO:0000009
constant: true
value: 1.44
name: Eg0
type: Parameter

274484
is: SBO:0000009
constant: true
value: 0.72
name: si
type: Parameter

274496
is: SBO:0000179
constant: true
value: 0.06
name: d0
type: Parameter

274488
is: SBO:0000393
constant: true
value: 864.0
name: R0
type: Parameter