metaid_0000045
constant: true
value: 1.0
name: half life of pancreatic reserve
type: Parameter

metaid_0000037
constant: true
value: 0.02
name: glucose toxicity constant
type: Parameter

metaid_0000008
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: glucose effect on pancreas
type: Species

metaid_0000033
constant: false
value: 0.574
name: ImaxB (t0)
type: Parameter

metaid_0000035
constant: true
value: 0.04
name: eta(t0)
type: Parameter

metaid_0000066
constant: true
value: 1.0E-4
name: Insulin sensitivity
type: Parameter

metaid_0000006
constant: false
boundary condition: true
has only substance units: false
initial concentration: 2.6244E8
initial amount: NaN
in compartment: metaid_0000003
name: fasting serum insulin
type: Species

metaid_0000019
constant: true
value: 50.0
name: insuliemia at t0
type: Parameter

metaid_0000005
constant: false
boundary condition: true
has only substance units: false
initial concentration: 1000.0
initial amount: NaN
in compartment: metaid_0000003
name: beta cell mass
type: Species

metaid_0000074
constant: false
value: NaN
name: eta
type: Parameter

metaid_0000076
constant: false
value: NaN
name: ImaxB
type: Parameter

metaid_0000021
constant: true
value: 1.0
name: maximal glycemia sensitivity
type: Parameter

metaid_0000023
constant: true
value: 1.0
name: glucose uptake rate
type: Parameter

metaid_0000031
constant: true
value: 0.25
name: exponent in Kxgl
type: Parameter

metaid_0000013
constant: false
boundary condition: true
has only substance units: false
initial concentration: 10000.0
initial amount: NaN
in compartment: metaid_0000003
name: insulin resistance
type: Species

metaid_0000041
constant: true
value: 100.0
name: A0
type: Parameter

metaid_0000027
constant: true
value: 1.0
name: insulin elimination end
type: Parameter

metaid_0000058
constant: true
value: 90.0
name: tmax
type: Parameter

metaid_0000043
constant: true
value: 0.238
name: elimination of HbA1c
type: Parameter

metaid_0000029
constant: true
value: 1.0E-4
name: KxgI (t0)
type: Parameter

metaid_0000025
constant: false
value: 0.05
name: insulin elimination constant
type: Parameter

metaid_0000044
constant: true
value: 18.0
name: starting age
type: Parameter

metaid_0000038
constant: true
value: 9.0
name: Gh
type: Parameter

MODEL1112110003
substance units: 687672
parameter: metaid_0000041
parameter: metaid_0000031
time units: 687647
rule: metaid_0000068
rule: metaid_0000059
parameter: metaid_0000034
parameter: metaid_0000022
parameter: metaid_0000029
volume units: MODEL1105180000#
parameter: metaid_0000021
name: Gaetano2008_DiabetesProgressionModel
is described by: http://identifiers.org/pubmed/18780774
parameter: metaid_0000039
compartment: metaid_0000003
parameter: metaid_0000037
species: metaid_0000006
parameter: metaid_0000036
species: metaid_0000005
parameter: metaid_0000066
length unit: 802859
parameter: metaid_0000024
parameter: metaid_0000042
rule: metaid_0000062
parameter: metaid_0000065
rule: metaid_0000057
notes: This a model from the article: Mathematical models of diabetes progression. De Gaetano A, Hardy T, Beck B, Abu-Raddad E, Palumbo P, Bue-Valleskey J, Porksen N. Am J Physiol Endocrinol Metab. 2008 Dec;295(6):E1462-79. 18780774 , Abstract: Few attempts have been made to model mathematically the progression of type 2 diabetes. A realistic representation of the long-term physiological adaptation to developing insulin resistance is necessary for effectively designing clinical trials and evaluating diabetes prevention or disease modification therapies. Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. In this context, it is of primary importance that the assumptions underlying the model equations properly reflect established physiology and that the mathematical formulation of the model give rise only to physically plausible behavior of the solutions. In the present work, a model of the pancreatic islet compensation is formulated, its physiological assumptions are presented, some fundamental qualitative characteristics of its solutions are established, the numerical values assigned to its parameters are extensively discussed (also with reference to available cross-sectional epidemiologic data), and its performance over the span of a lifetime is simulated under various conditions, including worsening insulin resistance and primary replication defects. The differences with respect to two previously proposed models of diabetes progression are highlighted, and therefore, the model is proposed as a realistic, robust description of the evolution of the compensation of the glucose-insulin system in healthy and diabetic individuals. Model simulations can be run from the authors' web page. 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 T…
parameter: metaid_0000045
rule: metaid_0000069
parameter: metaid_0000035
parameter: metaid_0000058
parameter: metaid_0000033
rule: metaid_0000064
parameter: metaid_0000074
parameter: metaid_0000032
rule: metaid_0000067
rule: metaid_0000071
parameter: metaid_0000020
rule: metaid_0000046
parameter: metaid_0000061
species: metaid_0000007
parameter: metaid_0000027
species: metaid_0000010
parameter: metaid_0000077
rule: metaid_0000060
rule: metaid_0000051
parameter: metaid_0000076
rule: metaid_0000063
parameter: metaid_0000030
parameter: metaid_0000044
area units: 802883
rule: metaid_0000053
parameter: metaid_0000023
type: SBMLModel
rule: metaid_0000070
parameter: metaid_0000019
rule: metaid_0000052
parameter: metaid_0000075
rule: metaid_0000072
parameter: metaid_0000073
parameter: metaid_0000018
species: metaid_0000013
species: metaid_0000008
parameter: metaid_0000038
rule: metaid_0000047
parameter: metaid_0000026
curated: false
parameter: metaid_0000025
parameter: metaid_0000043

metaid_0000036
constant: true
value: 1.0
name: spontaneous recovery rate
type: Parameter

metaid_0000007
constant: false
boundary condition: true
has only substance units: false
initial concentration: 2.62440001E8
initial amount: NaN
in compartment: metaid_0000003
name: fasting plasma glucose
type: Species

metaid_0000003
constant: true
size: 1.0
spatial dimensions: 3.0
name: body
type: Compartment

metaid_0000032
constant: false
value: 10000.0
name: Ratio of glucose uptake rate constant
type: Parameter

metaid_0000065
constant: false
value: 0.190519737844841
name: h0
type: Parameter

metaid_0000061
constant: true
value: 1.0
name: X0
type: Parameter

metaid_0000034
constant: true
value: 0.92
name: minimum lamda
type: Parameter

metaid_0000020
constant: true
value: 5.0
name: glycemia at t0
type: Parameter

metaid_0000077
constant: false
value: NaN
name: A
type: Parameter

metaid_0000018
constant: true
value: 1000.0
name: initial Beta cell mass
type: Parameter

metaid_0000073
constant: false
value: NaN
name: x
type: Parameter

metaid_0000022
constant: true
value: 1.0
name: liver glucose output
type: Parameter

metaid_0000030
constant: true
value: 1.0
name: midpoint Kxgi
type: Parameter

metaid_0000026
constant: true
value: 0.05
name: insulin elimination basline
type: Parameter

metaid_0000010
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: net beta cell growth
type: Species

metaid_0000075
constant: false
value: NaN
name: lamdamax
type: Parameter

metaid_0000024
constant: false
value: 13122.0
name: maximal insulin secretion
type: Parameter

metaid_0000039
constant: true
value: 4.0
name: vh
type: Parameter

metaid_0000042
constant: false
value: 0.0480808080808081
name: production of HbA1c
type: Parameter