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INFORMATICA, 2000, Vol. 11, No. 1, 87-96
© Institute of Mathematics and Informatics, Vilnius, 1998

ISSN 0868-4952

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

Igor BASOV, Donatas SVITRA

Klaipeda University, H.Manto 84, LT-5800 Klaipeda, 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

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