Publication:
Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and β-cells compartment

Issued Date

2009-12-15

Resource Type

Article

ISSN

0362546X

DOI

10.1016/j.na.2009.01.129

Other identifier(s)

2-s2.0-72149100135

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Nonlinear Analysis, Theory, Methods and Applications. Vol.71, No.12 (2009)

Suggested Citation

Meechoke Chuedoung, Warunee Sarika, Yongwimon Lenbury Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and β-cells compartment. Nonlinear Analysis, Theory, Methods and Applications. Vol.71, No.12 (2009). doi:10.1016/j.na.2009.01.129 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/27764

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Title

Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and β-cells compartment

Author(s)

Meechoke Chuedoung
 Warunee Sarika
 Yongwimon Lenbury

Other Contributor(s)

Mahidol University

Abstract

A mathematical model of the glucose-insulin control mechanism which incorporates the role of β-cells and time-delays is investigated. An analysis of the model is carried out by relying on the Hopf bifurcation theory in order to derive the conditions under which the system permits different dynamical behavior including the existence of periodic solutions. A genetic algorithm is utilized to find an optimal set of parametric values for which the simulated curve best fits our experimental glycemia data. © 2009 Elsevier Ltd. All rights reserved.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/27764

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Scopus 2006-2010