A Possibility of Taking into Consideration of Insulin “Age Structure” for Modeling Blood Glucose Dynamics

Article type: Research Article

Authors: Basov, Igor | Švitra, Donatas

Affiliations: Klaipėda University, H.Manto 84, LT-5800, Klaipėda, Lithuania. E-mail: igorbaso@takas.lt

Abstract: A system of two nonlinear difference-differential equations which is a mathematical model of self-regulation of glucose level in blood with time delay into consideration of insulin “age structure” is presented. The analysis carried out by qualitative and numerical methods allows us to conclude, that the mathematical model explains the functioning of the physiological system “insulin-blood glucose” in normal and pathological cases.

Keywords: mathematical modeling, blood glucose level, insulin, diabetes mellitus

DOI: 10.3233/INF-2000-11108

Journal: Informatica, vol. 11, no. 1, pp. 87-96, 2000