A critical review of mathematical models and data used in diabetology
Open accessAbstract
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.
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References 100 · Cited by 126
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- Authors
- Boutayeb, A., & Chetouani, A.
- Affiliations
- Mohamed I University (MA)
- Corresponding author
- Boutayeb, A
- Venue
- BioMedical Engineering OnLine
- Published
- 2006-06-29
- Volume
- 5
- Issue
- 1
- Pages
- 43-43
- ISSN
- 1475-925X (ISSN-L)
- OpenAlex
- W2038212378
- Cited by
- 126
- References
- 100
- Citations by year
- 2026: 3 · 2025: 7 · 2024: 5 · 2023: 3 · 2022: 4 · 2021: 7 · 2020: 8 · 2019: 8 · 2018: 6 · 2017: 5 · 2016: 3 · 2015: 9 · 2014: 7 · 2013: 10 · 2012: 5
- FWCI
- 0.70
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- BioMedical Engineering OnLine (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Topics
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes Management and Research
- Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
- Health Sciences › Medicine › Surgery › Pancreatic function and diabetes
- Keywords
- diabetes mellitus, glucose-insulin dynamics, diabetes management, diabetes complications, cost-effectiveness, diabetes epidemiology, optimal control, stochastic modeling, deterministic models, ordinary differential equations, partial differential equations, integral equations, matrix analysis
- MeSH terms
- Algorithms, Animals, Computer Simulation, Diabetes Mellitus, Diagnosis, Computer-Assisted, Drug Therapy, Computer-Assisted, Glucose, Humans, Insulin, Models, Biological, Databases, Factual, Insulin-Secreting Cells
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