Mathematical modeling of the glucose–insulin feedback system is necessary to the
understanding of the homeostatic control, to analyze experimental data, to identify and …

The analysis and control of time-delay systems has gained increasing interest in the last
decades due to the effectiveness of delay differential equations (DDEs) in modeling a wide …

For diabetes mellitus therapies, Bergman's minimal model is proposed. The present study is
devoted to mathematical modeling and analysis of the diabetes mellitus model without …

We propose two novel mathematical models with impulsive injection of insulin or its
analogues for type 1 and type 2 diabetes mellitus. One model incorporates the periodic …

Few attempts have been made to model mathematically the progression of type 2 diabetes.
A realistic representation of the long-term physiological adaptation to developing insulin …

With the aim of regulating plasma glucose level in a type-1 diabetic patient, a nonlinear
explicit model predictive control (NEMPC) is developed. The computational complexity in …

In 1978, Thomas J. Sorensen defended a thesis in chemical engineering at the University of
California, Berkeley, where he proposed an extensive model of glucose-insulin control …

In this article, the stability preservation problem for locally Lipschitz nonlinear time-delay
systems, by emulation of continuous-time dynamic output feedback controllers, is studied …

In addition to meal intake, a diabetes system has a feedback behavior to balance the
constituents of the chemicals, which causes instability. Therefore, a search for a feedback …

In this paper, a new methodology for the design of sampled-data dynamic output feedback
(DOF) stabilizers for control-affine nonlinear time-delay systems is proposed. In particular …