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

208 Citations (Scopus)

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 2006

Fingerprint

Mathematical Software
Integrodifferential equations
Insulin
Diabetes
Medical problems
Glucose
Software Tools
Mathematical Model
Mathematical models
Integro-differential Equation
Computational Results
Partial
Software
Model

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

Mathematical models and software tools for the glucose-insulin regulatory system and diabetes : An overview. / Makroglou, Athena; Li, Jiaxu; Kuang, Yang.

In: Applied Numerical Mathematics, Vol. 56, No. 3-4 SPEC. ISS., 03.2006, p. 559-573.

Research output: Contribution to journalArticle

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