Comparative analysis of mathematical models describing glucose-insulin regulation in vivo

Abstract

In this thesis, mathematical models describing glucose-insulin regulation within the human body have been studied. Glucoregulatory models are valuable in diabetes related research. Monitoring glucose-insulin dynamics, testing software and hardware related to autonomous insulin infusion, medical testing and student training, are some of the main motivating factors for developing physiologically accurate glucoregulatory models. In addition, mathematical modeling of glucose control demands that the anatomical process is studied in detail, which can increase our understanding of the process itself. This can in turn improve the medical service for diabetic patients. This thesis presents and evaluates the anatomical validity of six glucoregulatory model. The evaluation will focus on the models' ability to simulate a physiologically plausible glucose-insulin dynamics, both quantitatively and qualitatively. Homeostatic glucose control will also be a central focus point when evaluating the models' simulation performance. Based on this evaluation, improvements and modifications are suggested. This thesis is primarily a theoretical study, made up of three main segments. The first segment will present the theoretical research conducted regarding anatomy, biochemistry, and biochemical modeling. The second segment is a presentation of all the six glucoregulatory models studied. The third will present and evaluate the Matlab and Simulink simulation result, and present a optimized model based on the model study.