Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview

Authors:
Athena Makroglou;Jiaxu Li;Yang Kuang
Affiliations:
Department of Mathematics, University of Portsmouth, 1st Floor Buckingham Bldg, Portsmouth PO1 3HE, UK;Department of Mathematics and Statistics, Arizona State University, Tempe AZ 85287-1804, USA;Department of Mathematics and Statistics, Arizona State University, Tempe AZ 85287-1804, USA
Venue:
Applied Numerical Mathematics
Year:
2006

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Abstract

An overview of some of the mathematical models appearing in the literature for use in the glucose-insulin regulatory system in relation to diabetes is given, enhanced with a survey on available software. The models are in the form of ordinary differential, partial differential, delay differential and integro-differential equations. Some computational results are also presented.