Delay-Differential Equations for Glucose-Insulin Regulation

Maia Angelova; Sergiy Shelyag

doi:10.1007/978-3-030-62497-2_17

Delay-Differential Equations for Glucose-Insulin Regulation

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In 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.

Original language	English
Title of host publication	2019-20 MATRIX Annals
Editors	David R. Wood, Jan de Gier, Cheryl E. Praeger , Terence Tao
Place of Publication	Cham, Switzerland
Publisher	Springer International Publishing
Pages	299-306
Number of pages	8
ISBN (Electronic)	978-3-030-62497-2
ISBN (Print)	978-3-030-62496-5
DOIs	https://doi.org/10.1007/978-3-030-62497-2_17
Publication status	Published - 2021
Externally published	Yes

Publication series

Name	MATRIX Book Series
Publisher	Springer
Volume	2019-2020
ISSN (Print)	2523-3041
ISSN (Electronic)	2523-305X

Keywords

Delay-Differential Equations
Diabetes
Glucose regulation
Insulin regulation

Access to Document

10.1007/978-3-030-62497-2_17Licence: In Copyright

https://rdcu.be/c7C3SLicence: In Copyright

Cite this

@inbook{acb4105c20564d0886931844284c8d9b,

title = "Delay-Differential Equations for Glucose-Insulin Regulation",

abstract = "In 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.",

keywords = "Delay-Differential Equations, Diabetes, Glucose regulation, Insulin regulation",

author = "Maia Angelova and Sergiy Shelyag",

year = "2021",

doi = "10.1007/978-3-030-62497-2_17",

language = "English",

isbn = "978-3-030-62496-5",

series = "MATRIX Book Series",

publisher = "Springer International Publishing",

pages = "299--306",

editor = "Wood, {David R.} and {de Gier}, Jan and {Praeger }, {Cheryl E.} and Terence Tao",

booktitle = "2019-20 MATRIX Annals",

}

Delay-Differential Equations for Glucose-Insulin Regulation. / Angelova, Maia; Shelyag, Sergiy.

2019-20 MATRIX Annals. ed. / David R. Wood; Jan de Gier; Cheryl E. Praeger ; Terence Tao. Cham, Switzerland : Springer International Publishing, 2021. p. 299-306 (MATRIX Book Series; Vol. 2019-2020).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Delay-Differential Equations for Glucose-Insulin Regulation

AU - Angelova, Maia

AU - Shelyag, Sergiy

PY - 2021

Y1 - 2021

N2 - In 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.

AB - In 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.

KW - Delay-Differential Equations

KW - Diabetes

KW - Glucose regulation

KW - Insulin regulation

U2 - 10.1007/978-3-030-62497-2_17

DO - 10.1007/978-3-030-62497-2_17

M3 - Chapter

SN - 978-3-030-62496-5

T3 - MATRIX Book Series

SP - 299

EP - 306

BT - 2019-20 MATRIX Annals

A2 - Wood, David R.

A2 - de Gier, Jan

A2 - Praeger , Cheryl E.

A2 - Tao, Terence

PB - Springer International Publishing

CY - Cham, Switzerland

ER -

Delay-Differential Equations for Glucose-Insulin Regulation

Abstract

Publication series

Keywords

Access to Document

Fingerprint

Cite this