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Delay-differential equations for glucose-insulin regulation
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posted on 2021-02-11, 00:00 authored by Maia Angelova TurkedjievaMaia Angelova Turkedjieva, Sergiy ShelyagSergiy ShelyagIn this paper, a model based on a system of delay differential equations, describing a process of glucose-insulin regulation in the human body, is studied numerically. For simplicity, the system is based on a single delay due to the practical importance of one of the two delays appearing in more complex models. The stability of the system is investigated numerically. The regions, where the solutions demonstrate periodicity and asymptotic stability, are explicitly calculated. The sensitivity of the solutions to the parameters of the model, which describes the insulin production in the system, is analysed.
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Title of book
2019-20 MATRIX AnnalsVolume
MXBS Vol. 4Series
MATRIX Book SeriesPagination
299 - 306Publisher
Springer NaturePlace of publication
Cham, SwitzerlandPublisher DOI
ISSN
2523-3041eISSN
2523-305XISBN-13
9783030624965Edition
1stLanguage
engPublication classification
B1 Book chapterCopyright notice
2021, The AuthorsExtent
63Editor/Contributor(s)
David Wood, Jan de Gier, Cheryl Praeger, Terrence TaoUsage metrics
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