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Applied Numerical Mathematics
Volume 56, Issues 3-4, March-April 2006, Pages 559-573
Selected Papers, The Third International Conference on the Numerical Solutions of Volterra and Delay Equations
 
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doi:10.1016/j.apnum.2005.04.023    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 IMACS Published by Elsevier B.V.

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

Athena Makrogloua, Corresponding Author Contact Information, E-mail The Corresponding Author, Jiaxu Lib, E-mail The Corresponding Author, E-mail The Corresponding Author and Yang Kuangb, 1, E-mail The Corresponding Author

aDepartment of Mathematics, University of Portsmouth, 1st Floor Buckingham Bldg, Portsmouth PO1 3HE, UK bDepartment of Mathematics and Statistics, Arizona State University, Tempe AZ 85287-1804, USA

Available online 31 May 2005.

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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.

Keywords: Glucose-insulin; Diabetes; Mathematical models; Software tools; Overview


Applied Numerical Mathematics
Volume 56, Issues 3-4, March-April 2006, Pages 559-573
Selected Papers, The Third International Conference on the Numerical Solutions of Volterra and Delay Equations
 
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