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

Athena Makroglou; Jiaxu Li; Yang Kuang

doi:10.1016/j.apnum.2005.04.023

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 journal › Article › peer-review

258 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 language	English (US)
Pages (from-to)	559-573
Number of pages	15
Journal	Applied Numerical Mathematics
Volume	56
Issue number	3-4 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.apnum.2005.04.023
State	Published - Mar 2006

Keywords

Diabetes
Glucose-insulin
Mathematical models
Overview
Software tools

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.apnum.2005.04.023

Cite this

@article{034f95cd8db74b12aac5208782312fb3,

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

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 = "Diabetes, Glucose-insulin, Mathematical models, Overview, Software tools",

author = "Athena Makroglou and Jiaxu Li and Yang Kuang",

year = "2006",

month = mar,

doi = "10.1016/j.apnum.2005.04.023",

language = "English (US)",

volume = "56",

pages = "559--573",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

publisher = "Elsevier",

number = "3-4 SPEC. ISS.",

}

TY - JOUR

T1 - Mathematical models and software tools for the glucose-insulin regulatory system and diabetes

T2 - An overview

AU - Makroglou, Athena

AU - Li, Jiaxu

AU - Kuang, Yang

PY - 2006/3

Y1 - 2006/3

N2 - 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.

AB - 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.

KW - Diabetes

KW - Glucose-insulin

KW - Mathematical models

KW - Overview

KW - Software tools

UR - http://www.scopus.com/inward/record.url?scp=33644622897&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644622897&partnerID=8YFLogxK

U2 - 10.1016/j.apnum.2005.04.023

DO - 10.1016/j.apnum.2005.04.023

M3 - Article

AN - SCOPUS:33644622897

SN - 0168-9274

VL - 56

SP - 559

EP - 573

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 3-4 SPEC. ISS.

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this