MODEL1201140003
type: SBMLModel
parameter: 199721
parameter: 199563
is described by: http://identifiers.org/pubmed/11226623
parameter: 199808
substance units: 163161
parameter: 199758
compartment: 199551
parameter: 199587
parameter: 199770
parameter: 199734
parameter: 199697
parameter: 199600
name: Lenbury2001_InsulinKineticsModel_B
parameter: 199637
curated: false
volume units: 122997
rule: 199845
rule: 199832
parameter: 199625
parameter: 199613
parameter: 199661
rule: 199820
area units: 802883
parameter: 199783
rule: 199857
length unit: 802859
parameter: 199685
parameter: 199649
rule: 199869
notes: This a model from the article: Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions. Lenbury Y, Ruktamatakul S, Amornsamarnkul S. Biosystems. 2001 Jan;59(1):15-25. 11226623 , Abstract: This paper presents a nonlinear mathematical model of the glucose-insulin feedback system, which has been extended to incorporate the beta-cells' function on maintaining and regulating plasma insulin level in man. Initially, a gastrointestinal absorption term for glucose is utilized to effect the glucose absorption by the intestine and the subsequent release of glucose into the bloodstream, taking place at a given initial rate and falling off exponentially with time. An analysis of the model is carried out by the singular perturbation technique in order to derive boundary conditions on the system parameters which identify, in particular, the existence of limit cycles in our model system consistent with the oscillatory patterns often observed in clinical data. We then utilize a sinusoidal term to incorporate the temporal absorption of glucose in order to study the responses in the patients under ambulatory-fed conditions. A numerical investigation is carried out in this case to construct a bifurcation diagram to identify the ranges of parametric values for which chaotic behavior can be expected, leading to interesting biological interpretations. This model was taken from the CellML repository and automatically converted to SBML. The original model was: lenbury_ruktamatakul_amornsamarnkul_2001_B 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 pu…
parameter: 199709
time units: 152087
parameter: 199796
parameter: 199673
parameter: 199746
parameter: 199575

199721
type: Parameter
constant: true
value: 0.05
name: r7

199563
type: Parameter
constant: true
value: NaN
name: time

199808
type: Parameter
constant: true
value: 0.1
name: epsilon

199758
type: Parameter
constant: true
value: 0.01
name: delta

199551
type: Compartment
constant: true
size: 1.0
spatial dimensions: 3.0

199587
type: Parameter
constant: true
value: 0.15
name: r1

199770
type: Parameter
constant: false
value: 1.0
name: u

199734
type: Parameter
constant: true
value: 1.01
name: z_

199697
type: Parameter
constant: true
value: 0.09
name: r5

199600
type: Parameter
constant: true
value: 0.12
name: r2

199637
type: Parameter
constant: true
value: 0.05
name: r3

199625
type: Parameter
constant: false
value: 0.0
name: y

199613
type: Parameter
constant: true
value: 0.1
name: c1

199661
type: Parameter
constant: true
value: 0.1
name: c2

199783
type: Parameter
constant: true
value: 0.05
name: omega

199685
type: Parameter
constant: false
value: 1.0
name: z

199649
type: Parameter
constant: true
value: 0.03
name: r4

199709
type: Parameter
constant: true
value: 0.1
name: r6

199796
type: Parameter
constant: false
value: 0.0
name: v

199673
type: Parameter
constant: true
value: 0.005
name: c3

199746
type: Parameter
constant: true
value: 1.08
name: y_

199575
type: Parameter
constant: false
value: 5.0
name: x