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

被引：20
作者：
Chuedoung, Meechoke [1 ]
Sarika, Warunee [1 ]
Lenbury, Yongwimon [1 ]
机构：
[1] Mahidol Univ, Dept Math, Bangkok 10400, Thailand
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Delay differential equations; Glucose-insulin feedback mechanism; beta-cel; Nonlinear mathematical model; ULTRADIAN OSCILLATIONS; MATHEMATICAL-MODEL; PLASMA-GLUCOSE; TOLERANCE TEST; SECRETION; KINETICS; RESISTANCE; RESPONSES; INFUSION;
D O I：
10.1016/j.na.2009.01.129
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mathematical model of the glucose-insulin control mechanism which incorporates the role of beta-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. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：E1048 / E1058
页数：11
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