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Title: Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and β-cells compartment
Authors: Meechoke Chuedoung
Warunee Sarika
Yongwimon Lenbury
Mahidol University
Keywords: Mathematics
Issue Date: 15-Dec-2009
Citation: Nonlinear Analysis, Theory, Methods and Applications. Vol.71, No.12 (2009)
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.
ISSN: 0362546X
Appears in Collections:Scopus 2006-2010

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