A critical review of mathematical models and data used in diabetology.
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.
Boutayeb
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Department of Mathematics Faculty of Sciences, Oujda, Morocco. x.boutayeb@menara.ma
Chetouani
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D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D016208:Databases, Factual; D003920:Diabetes Mellitus / Q000175:diagnosis / Q000188:drug therapy* / Q000378:metabolism*; D003936:Diagnosis, Computer-Assisted / Q000379:methods*; D004360:Drug Therapy, Computer-Assisted / Q000379:methods*; D005947:Glucose / Q000378:metabolism*; D006801:Humans; D007328:Insulin / Q000378:metabolism*; D050417:Insulin-Secreting Cells / Q000187:drug effects / Q000378:metabolism; D008954:Models, Biological
D007328:Insulin; D005947:Glucose