Glycemia monitoring: The problem of exogenous insulin input

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 th...

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Bibliographic Details
Main Authors: I. Basov, M. Meilūnas, D. Švitra
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 1999-12-01
Series:Mathematical Modelling and Analysis
Subjects:
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Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9965
Description
Summary: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. Glikemijos monitoringas: insultinio įvedimo uždavinys Santrauka Darbe nagrinejamas cukraus kiekio kraujyje savireguliacijos matematinis modelis. Jis aprašomas dvieju netiesiniu diferencialiniu‐skirtumu lygčiu su veluojančiu argumentu sistema. Nagrinejama konkrečiu pacientu glikemijos savireguliacijos sistema. Matematinis modelis leidžia nustatyti insulino doze ir režima, kai naudojame tradicine insulino terapija. Pateikti skaičiavimu rezultatai, iliustruojantys kelis ligos ir maitinimosi režimus. First Published Online: 14 Oct 2010
ISSN:1392-6292
1648-3510