A Glucose-Insulin Model with Two Time Delays

Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays.

In the glucose-insulin regulatory system, ultradian insulin secretory oscillations are observed to have a period of 50-150 min. After pioneering work traced back to the 1960s, several mathematical models have been proposed during the last decade to model these ultradian oscillations as well as the metabolic system producing them. These currently existing models still lack some of the key physio...

Analysis of a Model of the Glucose-Insulin Regulatory System with Two Delays

We continue a recent attempt to better understand the glucose-insulin regulatory system via a mathematical model of delay differential equations with two discrete time delays. With explicit delays, the model is more realistic in physiology, more accurate in mathematics, and more robust in applications. We study this model analytically and perform carefully designed numerical simulations by allo...

Design of a Model Based Compensator for MIMO Systems with Time Delays and Constrained Inputs

Design of a Model Based Compensator for MIMO Systems with Time Delays and Constrained Inputs

Design of a Model Based Compensator for Systems With Time Delays