A MATHEMATICAL MODEL OF GLUCOSE HOMEOSTASIS IN CHAD CONTEXT

Adam Hassan Adoum; Mahamat Saleh Daoussa . Haggar; Temga . Djaokamla; Jean Marie Ntaganda

doi:10.56827/JRSMMS.2022.1001.13

Adam Hassan Adoum Universit´e Adam Barka d’Ab´ech´e, Facult´e des Sciences et Techniques (FAST), D´epartement de Math´ematiques
Mahamat Saleh Daoussa . Haggar Laboratory of Modelisation, Mathematics, Computer Science, Applications and Simulation (L2MIAS), Department of Mathematics, Faculty of Exact Sciences and Applied, University of Ndjamena, Chad
Temga . Djaokamla Universit´e Adam Barka d’Ab´ech´e, Facult´e des Sciences et Techniques (FAST), D´epartement de Math´ematiques
Jean Marie Ntaganda University of Rwanda, College of Science and Technology, School of Science, Department of Mathematics

DOI: https://doi.org/10.56827/JRSMMS.2022.1001.13

Keywords: Glucose, Insulin, Glucagon, Mathematical model, Homeostasis, Numerical simulation, Chad.

Abstract

During these decades, mathematical modeling has become a key domain in science, especially in biomedical sciences. It allows for an experimental and rigorous approach. Thanks to mathematical modeling, the glucose-insulin system could be materialized, which is also theoretical, in order to analyze and interpret it and to predict the results. Many of the mathematical models of the glucose-insulin system have emerged in recent years. In literature, there are models that show the role of physical activity and response of mathematical model to glucose-insulin system dynamics. We propose the mathematical model of ordinary differential equations to investigate simple homeostasis generated by the dynamics of physiological parameters of the glucose-insulin system during physical activity for a healthy subject. Model parameters are estimated using a nonlinear optimization method generally based on inverse problems. The numerical simulations show that the proposed model is adaptable to the data collected in Chad and can be used to test glucose homeostasis for glucose-insulin system.