Hovorka, R., Shojaee-Moradie, F., Carroll, P.V., Chassin, L.J., Gowrie, I.J., Jackson, N.C., Tudor, R.S., Umpleby, A.M. and Jones, R.H. (2002) Partitioning glucose distribution/transport, disposal, and endogenous production during IVGTT. American Journal of Physiology, Endocrinology and Metabolism, 282, E992-E1007.

has been cited by the following article:

• TITLE: Hopf Bifurcation of a Two Delay Mathematical Model of Glucose and Insulin during Physical Activity

  AUTHORS: Jean Marie Ntaganda

  KEYWORDS: Systemic Arterial Pressure; Systemic Venous Pressure; Cardiovascular/Respiratory System; Delay; Numerical Simulation; Glucose; Insulin

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.4 No.2, February 26, 2014

  ABSTRACT: In this paper, we are interested in looking for Hopf bifurcation solutions for mathematical model of plasma glucose and insulin during physical activity. The mathematical model is governed by a system of delay differential equations. The algorithm for determining the critical delays that are appropriate for Hopf bifurcation is used. The illustrative example is taken for a 30 years old woman who practices regular three types of physical activity: walking, jogging and running fast.