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

Athena Makroglou, Jiaxu Li, Yang Kuang

Research output: Contribution to journalArticle

226 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)559-573
Number of pages15
JournalApplied Numerical Mathematics
Volume56
Issue number3-4 SPEC. ISS.
DOIs
StatePublished - Mar 1 2006

Keywords

  • Diabetes
  • Glucose-insulin
  • Mathematical models
  • Overview
  • Software tools

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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