Open AccessThe dynamics and control of glycemia in the case of diabetes
Author(s) -
Donatas Švitra,
Ramunė Vilkytė
Publication year - 2012
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2012.21
Subject(s) - glycemic , nonlinear system , mathematics , bifurcation , mathematical analysis , control theory (sociology) , medicine , diabetes mellitus , computer science , control (management) , endocrinology , physics , artificial intelligence , quantum mechanics
In this article the authors performed of glycemic regulation mathematical model described one differential equation with delay argument and one algebraic equation linear, nonlinear and numeric analyses. Linear analysis was performed D-segmentation method. A stable periodic solution application on bifurcation theory was constructed in the nonlinear analysis. The numeric solutions of glycemia dynamics have been constructed in the numeric analysis of the diabetes case, introducing to the three external periodic functions determinating food, exogenous insulin injections (Lispro) and physical exercise. Glycemic dynamic was calculated applying program “Model Maker”.