Open AccessGLYCEMIA MONITORING: THE PROBLEM OF EXOGENOUS INSULIN INPUT
Author(s) -
Igor Basov,
Mečislavas Meilūnas,
Donatas Švitra
Publication year - 1999
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.1999.9637106
Subject(s) - nonlinear system , insulin , blood sugar , pathological , lag , control theory (sociology) , differential (mechanical device) , time lag , mathematics , organism , computer science , differential equation , medicine , endocrinology , diabetes mellitus , biology , artificial intelligence , control (management) , mathematical analysis , physics , computer network , paleontology , quantum mechanics , thermodynamics
We present the system of two nonlinear difference‐differential equations with lag which is a mathematical model of self‐regulation of sugar level in blood. We analyze the pathological case, i.e. describe the concrete patients glycemia self‐regulation system and diet. The model helps to determine the dosage and tactics of the traditional insulinotherapy practicing discrete inputs of insulin into the organism with the help of injections.