Enhanced modelling of the glucose–insulin system and its applications in insulin therapies

Haiyan Wang; Jiaxu Li; Yang Kuang

doi:10.1080/17513750802101927

Enhanced modelling of the glucose–insulin system and its applications in insulin therapies

Haiyan Wang, Jiaxu Li, Yang Kuang

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

It is well known that Michaelis–Menten kinetics is suitable for the response function in chemical reaction, when the reaction rate does not increase indefinitely when an excess of resource is available. However, the existing models for insulin therapies assume that the response function of insulin clearance is proportional to the insulin concentration. In this paper, we propose a new model for insulin therapy for both type 1 and type 2 diabetes mellitus, in which the insulin degradation rate assumes Michaelis–Menten kinetics. Our analysis shows that it is possible to mimic pancreatic insulin secretion by exogenous insulin infusions, and our numerical simulations provide clinical strategies for insulin–administration practices.

Original language	English (US)
Pages (from-to)	22-38
Number of pages	17
Journal	Journal of biological dynamics
Volume	3
Issue number	1
DOIs	https://doi.org/10.1080/17513750802101927
State	Published - Jan 2009

Keywords

Diabetes
Glucose–insulin regulator system
Insulin therapy
Periodic solution
Time delay

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics
Ecology

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10.1080/17513750802101927

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title = "Enhanced modelling of the glucose–insulin system and its applications in insulin therapies",

abstract = "It is well known that Michaelis–Menten kinetics is suitable for the response function in chemical reaction, when the reaction rate does not increase indefinitely when an excess of resource is available. However, the existing models for insulin therapies assume that the response function of insulin clearance is proportional to the insulin concentration. In this paper, we propose a new model for insulin therapy for both type 1 and type 2 diabetes mellitus, in which the insulin degradation rate assumes Michaelis–Menten kinetics. Our analysis shows that it is possible to mimic pancreatic insulin secretion by exogenous insulin infusions, and our numerical simulations provide clinical strategies for insulin–administration practices.",

keywords = "Diabetes, Glucose–insulin regulator system, Insulin therapy, Periodic solution, Time delay",

author = "Haiyan Wang and Jiaxu Li and Yang Kuang",

note = "Funding Information: This work is dedicated to Professor Ken Cooke. This work is partially supported by ASU MGIA-2006-08. The third author is also supported by DMS-0436341 and DMS/NIGMS-0342388. We are grateful to the anonymous referees and the editor whose careful reading, valuable comments, and suggestions greatly enhanced the original manuscript.",

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Enhanced modelling of the glucose–insulin system and its applications in insulin therapies

Abstract

Keywords

ASJC Scopus subject areas

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