Meechoke ChuedoungWarunee SarikaYongwimon LenburyMahidol University2018-09-132018-09-132009-12-15Nonlinear Analysis, Theory, Methods and Applications. Vol.71, No.12 (2009)0362546X2-s2.0-72149100135https://repository.li.mahidol.ac.th/handle/20.500.14594/27764A 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.Mahidol UniversityMathematicsArticleSCOPUS10.1016/j.na.2009.01.129