Thomas, S.J. (1985) A Physiologic Model of Glucose Metabolism in Man and Its Use to Design and Assess Improved Insulin Therapies for Diabetes. PhD Thesis, Massachusetts Institute of Technology, Cambridge.

has been cited by the following article:

• TITLE: Simplified Mathematical Model of Glucose-Insulin System

  AUTHORS: Jean Marie Ntaganda, Froduald Minani, Wellars Banzi, Lydie Mpinganzima, Japhet Niyobuhungiro, Jean Bosco Gahutu, Eric Rutaganda, Immaculate Kambutse, Vincent Dusabejambo

  KEYWORDS: Glucose, Insulin, Mathematical Model, Parameter, Identification

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.8 No.3, September 18, 2018

  ABSTRACT: Mathematical modelling of glucose-insulin system is very important in medicine as a necessary tool to understand the homeostatic control of human body. It can also be used to design clinical trials and in the evaluation of the diabetes prevention. In the last three decades so much work has been done in this direction. One of the most notable models is the global six compartment-mathematical model with 22 ordinary differential equations due to John Thomas Sorensen. This paper proposes a more simplified three compartment-mathematical model with only 6 ordinary differential equations by introducing a tissue compartment comprising kidney, gut, brain and periphery. For model parameter identification, we use inverse problems technique to solve a specific optimal control problem where data are obtained by solving the global model of John Thomas Sorensen. Numerical results show that the proposed model is adaptable to data and can be used to adjust diabetes mellitus type I or type II for diabetic patients.