Lenbury2001_InsulinKineticsModel_A

  public model
Model Identifier
BIOMD0000000878
Short description

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_A
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.
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To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.

Format
SBML (L2V4)
Related Publication
  • Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions.
  • Lenbury Y, Ruktamatakul S, Amornsamarnkul S
  • Bio Systems , 1/ 2001 , Volume 59 , pages: 15-25 , PubMed ID: 11226623
  • Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Rd., Bangkok 10400, Thailand. scylb@mahidol.ac.th
  • 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.
Contributors
Submitter of the first revision: Ishan Ajmera
Submitter of this revision: Mohammad Umer Sharif Shohan
Modellers: Ishan Ajmera, Mohammad Umer Sharif Shohan

Metadata information

is (2 statements)
BioModels Database MODEL1201140002
BioModels Database MODEL1201140002

isDescribedBy (1 statement)
PubMed 11226623

hasTaxon (1 statement)
Taxonomy Homo sapiens

isVersionOf (2 statements)
Human Disease Ontology diabetes mellitus
Gene Ontology glucose homeostasis


Curation status
Curated

Tags

Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files

Lenbury2001.xml SBML L2V4 representation of Lenbury2001 - InsulinKineticsModel_A 42.29 KB Preview | Download

Additional files

Lenbury2001.cps COPASI version 4.24 (Build 197) representation of Lenbury2001 - InsulinKineticsModel_A 67.39 KB Preview | Download
Lenbury2001.sedml SEDML L1V2 representation of Lenbury2001 - InsulinKineticsModel_A 2.65 KB Preview | Download
MODEL1201140002-biopax2.owl Auto-generated BioPAX (Level 2) 860.00 Bytes Preview | Download
MODEL1201140002-biopax3.owl Auto-generated BioPAX (Level 3) 842.00 Bytes Preview | Download
MODEL1201140002.m Auto-generated Octave file 2.72 KB Preview | Download
MODEL1201140002.pdf Auto-generated PDF file 128.78 KB Preview | Download
MODEL1201140002.png Auto-generated Reaction graph (PNG) 5.04 KB Preview | Download
MODEL1201140002.sci Auto-generated Scilab file 1.41 KB Preview | Download
MODEL1201140002.svg Auto-generated Reaction graph (SVG) 851.00 Bytes Preview | Download
MODEL1201140002.vcml Auto-generated VCML file 615.00 Bytes Preview | Download
MODEL1201140002.xpp Auto-generated XPP file 1.63 KB Preview | Download
MODEL1201140002_url.xml old xml file 8.11 KB Preview | Download
MODEL1201140002_urn.xml Auto-generated SBML file with URNs 8.32 KB Preview | Download

  • Model originally submitted by : Ishan Ajmera
  • Submitted: Jan 14, 2012 7:59:37 PM
  • Last Modified: Nov 28, 2019 11:34:29 AM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Nov 28, 2019 11:34:29 AM
    • Submitted by: Mohammad Umer Sharif Shohan
    • With comment: Automatically added model identifier BIOMD0000000878
  • Version: 2 public model Download this version
    • Submitted on: Jan 14, 2012 8:08:09 PM
    • Submitted by: Ishan Ajmera
    • With comment: Current version of Lenbury2001_InsulinKineticsModel_A
  • Version: 1 public model Download this version
    • Submitted on: Jan 14, 2012 7:59:37 PM
    • Submitted by: Ishan Ajmera
    • With comment: Original import of Lenbury2001_InsulinKineticsModel_A

(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions unpublished model revision of this model will only be shown to the submitter and their collaborators.

Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
y

C2831
1.9 mol
z

pancreatic beta cell
1.01 mol
x

Insulin
4.57 mol
Reactions
Reactions Rate Parameters
y => ; x COMpartment*epsilon*r_4*x epsilon = 0.1; r_4 = 0.1
=> y; z COMpartment*(epsilon*r_3/z+epsilon*c_2) epsilon = 0.1; c_2 = 0.1; r_3 = 0.1
=> z; y, z COMpartment*(r_5*(y-y_hat)*(z_hat-z)+r_6*z*(z_hat-z)) r_5 = 0.1; r_6 = 0.1; y_hat = 1.24; z_hat = 2.57039578276886
x => ; z COMpartment*z*r_2*x r_2 = 0.1
=> x; y, z COMpartment*z*(r_1*y+c_1) r_1 = 0.2; c_1 = 0.1
z => COMpartment*r_7*z r_7 = 0.05
Curator's comment:
(added: 28 Nov 2019, 11:30:59, updated: 28 Nov 2019, 11:30:59)
The model has been encoded in COPASI 4.24 (Build 197) and the figures has been generated using COPASI. The value of z has set to 1.01. The figure represent Fig2 of the publication. Although the values are not exact match but the pattern is matching