The impact of obesity on predisposed people to type 2 diabetes: Mathematical model
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
The insulin equation cited from the base model may be questionable.
“In addition, the insulin equation cited from the base model may be questionable.”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [53]
The receptor equation obtained from the base model in (53) impedes this model from data fitting and applications.
“The receptor equation obtained from the base model in (53) impedes this model from data fitting and applications.”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [53]
The Alali et al. model is extended upon the model of Boutayeb et al., including an equation of GH to depict the interaction of GH with glucose and free fatty acids.
“The model, as shown below, is extended upon the model of Boutayeb et al. (53), including an equation of GH to depict the interaction of GH withglucose and free fatty acids (FFA):”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [53]
Cites
Assessment of insulin sensitivity in vivo.
Bergman, R., Finegood, D., & Ader, M. (1985) · Endocrine reviews · doi:10.1210/edrv-6-1-45 · Cited by 1,215 · see citing works
Glucolipotoxicity: fuel excess and β-cell dysfunction
Poitout, V., & Robertson, R. P. (2008) · Endocrine Reviews · doi:10.1210/er.2007-0023 · Cited by 1,092 · see citing works
Coefficients of normal blood glucose regulation
Bolie, V. W. (1961) · Journal of Applied Physiology · doi:10.1152/jappl.1961.16.5.783 · Cited by 349 · cited 1× · see citing works
“Bolie (1961) introduced a simple linear model, using ordinary differential equations in glucose and insulin [5].”
A model of β-cell mass, insulin, and glucose kinetics: pathways to diabetes
TOPP, B., PROMISLOW, K., DEVRIES, G., MIURA, R. M., & FINEGOOD, D. T. (2000) · Journal of Theoretical Biology · doi:10.1006/jtbi.2000.2150 · Cited by 330 · see citing works
The effect of physical exercise on the dynamics of glucose and insulin.
Derouich, M., & Boutayeb, A. (2002) · Journal of Biomechanics · doi:10.1016/s0021-9290(02)00055-6 · Cited by 184 · see citing works
Self-citationDeteriorating beta–cell function in type 2 diabetes: a long–term model
Bagust, A., & Beale, S. (2003) · QJM: An International Journal of Medicine · doi:10.1093/qjmed/hcg040 · Cited by 105 · see citing works
Turpeinen, A., Takala, T., Nuutila, P., Axelin, T., Luotolahti, M., Haaparanta‐Solin, M., Bergman, J. R., Hämäläinen, H., Iida, H., Mäki, M. T., et al. (1999) · Diabetes · doi:10.2337/diabetes.48.6.1245 · Cited by 65 · see citing works
Boutayeb, W., Lamlili, M. E. N., Boutayeb, A., & Derouich, M. (2014) · Journal of Biomedical Science and Engineering · doi:10.4236/jbise.2014.76035 · Cited by 34 · see citing works
Self-citationA Model of [ ]-Cell Mass, Insulin, Glucose, and Receptor Dynamics with Applications to Diabetes
Hernandez, R. D., Lyles, D., Rubin, D. B., Voden, T. B., & Wirkus, S. A. (2001) · Cited by 10 · see citing works
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Examining Type 1 Diabetes Mathematical Models Using Experimental Data
Ali, H. A., Daneshkhah, A., Boutayeb, A., & Mukandavire, Z. (2022) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph19020737 · Cited by 19 · see citing works
Self-citationA mathematical model on the effect of growth hormone on glucose homeostasis
Ali, H. A., Wiam, B., Abdesslam, B., & Nora, M. (2019) · Revue Africaine de Recherche en Informatique et Mathématiques Appliquées · doi:10.46298/arima.4945 · Cited by 9 · see citing works
Self-citationThe progression of secondary diabetes: A review of modeling studies
Yang, B., Li, J., Haller, M. J., Schatz, D. A., & Rong, L. (2022) · Frontiers in Endocrinology · doi:10.3389/fendo.2022.1070979 · Cited by 6 · see citing works
The impact of obesity on chronic diseases: type 2 diabetes, heart disease, and high blood pressure
Antouri, Z., Mezouaghi, A., Djilali, S., Zeb, A., Khan, I., & Omer, A. S. A. (2024) · Applied Mathematics in Science and Engineering · doi:10.1080/27690911.2024.2422061 · Cited by 5 · see citing works
Ali, H. A., Daneshkhah, A., Boutayeb, A., Merabet, N., & Mukandavire, Z. (2025) · Industrial and applied mathematics · doi:10.1007/978-981-96-1925-2_3 · Cited by 2 · see citing works
Self-citationMathematical Modelling for Glucose Homeostasis and Associated Mechanisms: A State-of-the-Art Review
Lamlili, M. E. N., Boutayeb, W., & Boutayeb, A. (2025) · Industrial and applied mathematics · doi:10.1007/978-981-96-1925-2_2 · Cited by 2 · see citing works
Self-citationA Mathematical Model on Glucose Homeostasis in Type 1 Diabetes
Boutayeb, W. (2020) · Springer eBooks · doi:10.1007/978-3-030-34702-4_15 · Cited by 1 · see citing works
Self-citationType-1 diabetes mathematical analysis based on Free Fatty Acids in the presence of insuline
Sotelo, A. P., Gamboa, D., Valle, P. A., & Campos-Hernández, P. J. (2021) · Robotics Mexican Congress (COMRob) · doi:10.1109/comrob53312.2021.9628523 · Cited by 1 · see citing works
- Authors
- Boutayeb, W., Lamlili, M. E. N., Boutayeb, A., & Derouich, M.
- Affiliations
- Mohamed I University (MA)
- ORCID
- Boutayeb, Abdesslam
- Venue
- Lecture notes in computer science
- Publisher
- Springer International Publishing
- Published
- 2015
- Pages
- 613-622
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W613123865
- Cited by
- 8
- References
- 9
- Citations by year
- 2025: 2 · 2024: 1 · 2022: 2 · 2021: 1 · 2020: 1 · 2019: 1
- FWCI
- 0.00
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- Lecture notes in computer science (publishedVersion)
- Topics
- Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
- Health Sciences › Medicine › Surgery › Pancreatic function and diabetes
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes, Cardiovascular Risks, and Lipoproteins
- Keywords
- obesity, type 2 diabetes, genetic susceptibility, mathematical model, pancreatic beta cells, insulin, glucose dynamics, equilibrium analysis, stability analysis, saddle points
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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