Lenbury2001_InsulinKineticsModel_A
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
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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.
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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.
Submitter of this revision: Mohammad Umer Sharif Shohan
Modellers: Ishan Ajmera, Mohammad Umer Sharif Shohan
Metadata information
isDescribedBy (1 statement)
hasTaxon (1 statement)
isVersionOf (2 statements)
Connected external resources
SBGN view in Newt Editor
| Name | Description | Size | Actions |
|---|---|---|---|
Model files |
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| Lenbury2001.xml | SBML L2V4 representation of Lenbury2001 - InsulinKineticsModel_A | 42.29 KB | Preview | Download |
Additional files |
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| 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
- Submitted on: Nov 28, 2019 11:34:29 AM
- Submitted by: Mohammad Umer Sharif Shohan
- With comment: Automatically added model identifier BIOMD0000000878
-
Version: 2
- Submitted on: Jan 14, 2012 8:08:09 PM
- Submitted by: Ishan Ajmera
- With comment: Current version of Lenbury2001_InsulinKineticsModel_A
-
Version: 1
- Submitted on: Jan 14, 2012 7:59:37 PM
- Submitted by: Ishan Ajmera
- With comment: Original import of Lenbury2001_InsulinKineticsModel_A
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revisions as only public revisions are displayed here. Any private revisions
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: Variable used inside SBML models
| Species | Initial Concentration/Amount |
|---|---|
| y C2831 |
1.9 mol |
| z pancreatic beta cell |
1.01 mol |
| x Insulin |
4.57 mol |
| 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 |
(added: 28 Nov 2019, 11:30:59, updated: 28 Nov 2019, 11:30:59)