Mathematical modelling of insulin kinetics

We review a general mathematical model which incorporates beta-cell kinetics and a gastrointestinal absorption term for glucose into a glucose-insulin feedback system. The model comprises of a set of four nonlinear, coupled ordinary differential equations. Numerical simulations lead to time variatio...

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Bibliographic Details
Published in:Current science (Bangalore) 1997-12, Vol.73 (11), p.957-967
Main Authors: Rao, Gita Subba, Bajaj, J. S., Rao, J. Subba
Format: Article
Language:English
Subjects:
Beta cells
Diabetes mellitus
Glucose tolerance test
Insulin
Kinetics
Mathematical models
Modeling
Obesity
Parametric models
SPECIAL SECTION: MODELLING IN BIOLOGY
Type 1 diabetes mellitus
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Summary:We review a general mathematical model which incorporates beta-cell kinetics and a gastrointestinal absorption term for glucose into a glucose-insulin feedback system. The model comprises of a set of four nonlinear, coupled ordinary differential equations. Numerical simulations lead to time variations of plasma glucose and insulin levels that are consistent with clinical observations in normal groups. The results obtained after suitable changes in some of the parameters are in agreement with the clinical profiles and laboratory data in all the clinical categories of diabetes mellitus, viz. insulin-dependent diabetes mellitus, non-insulindependent diabetes mellitus, and malnutrition related diabetes mellitus, in response to a glucose challenge. Linear stability analysis in each case gives an indication of the metabolic factor(s) responsible for the particular disorder. Finally, the possible use of sensitivity analysis in the therapy of diabetes mellitus is discussed.
ISSN:0011-3891