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    Biomed Eng Online. 2006 Jun 29;5:43.

    A critical review of mathematical models and data used in diabetology.

    Boutayeb A, Chetouani A.

    Department of Mathematics Faculty of Sciences, Oujda, Morocco. x.boutayeb@menara.ma

    The literature dealing with mathematical modelling for diabetes is abundant. During the last decades, a variety of models have been devoted to different aspects of diabetes, including glucose and insulin dynamics, management and complications prevention, cost and cost-effectiveness of strategies and epidemiology of diabetes in general. Several reviews are published regularly on mathematical models used for specific aspects of diabetes. In the present paper we propose a global overview of mathematical models dealing with many aspects of diabetes and using various tools. The review includes, side by side, models which are simple and/or comprehensive; deterministic and/or stochastic; continuous and/or discrete; using ordinary differential equations, partial differential equations, optimal control theory, integral equations, matrix analysis and computer algorithms.

    PMID: 16808835 [PubMed - indexed for MEDLINE]

    PMCID: 1553453

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