Universite de Montreal
Montreal, Quebec, Canada
Complex fluctuations are observed in many physiological systems, such as the beat to beat variability of the heart rate, variations in the sleep-wake cycle,and pulsatile secretion of hormones. I present an example of the modeling of such a system, in which the fluctuations are interpreted as oscillations induced by bifurcations due to changes in the parameters regulating the governing equations: it is a representation, at the systemic level, of the regulation of glucose and insulin. Linear and nonlinear (using centre manifold and normal forms) stability analysis of a system of delay-differential equation is performed.