A mathematical model on the effect of growth hormone on glucose homeostasis
Open accessAbstract
Extending an existing model devoted to the interaction between β-Cell Mass, Insulin, Glucose, Receptor Dynamics and Free Fatty Acids in glucose regulatory system simulation, this paper proposes a mathematical model introducing the effect of growth hormone on the glucose homeostasis alongside the other variables. Stability analysis is carried out and pragmatic explanation of the equilibrium points is emphasized. Finally, simulation illustrated how β-Cell Mass, Insulin, Glucose, Receptor Dynamics, Free Fatty Acids and Growth Hormone may vary with different values of some parameters in the model. Prolongeant un précédent model publié dédié à l'interaction entre les cellules beta, l'insuline, le glucose, les recpteurs d'insuline et les acides gras libres, cet article propose un modele mathématique introduisant l'effet de l'hrmone de croissance sur la homéostasie du glucose. L'analyse de stabilité a été suivie d'explication pratique des points d'équilibre. Enfin, la simulation a illustré comment les cellules beta, l'insuline, le glucose, les recpteurs d'insuline, les acides gras libres et l'hormone de croissance peuvent varier en fonction des différentes valeurs de certains paramètres.
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There has been one model established so far incorporating the influence of growth hormones to the long-term glucose regulation.
“There has been one model established so far incorporating the influence of growth hormones to the long-term glucose regulation (52).”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [52]
The Abstract describes a model incorporating growth hormone into glucose homeostasis. The Conclusion calls it, to the authors’ knowledge, the first model combining glucose, insulin, free fatty acids and growth hormone, but says only that very few models address growth hormone’s effect on glucose homeostasis. It does not establish that this was the sole such model or explicitly characterize it as a model of long-term regulation. (LLM, conf=0.85)
Experimental — accuracy not yet measuredThis work provides the first mathematical model that incorporates GH into the glucose regulatory system.
“This work provides the first mathematical model that incorporates GH into the glucose regulatory system.”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [52]
The Mathematical Model section adds GH dynamics to a glucose-regulation model. The Conclusion claims priority only for modeling the combined interaction of glucose, insulin, free fatty acids, and GH; it also says a few earlier models addressed GH and glucose homeostasis. It therefore does not support the broader claim that this is the first model to incorporate GH into a glucose regulatory system. (LLM, conf=0.89)
Experimental — accuracy not yet measuredAlali et al. developed a model studying the effect of growth hormone on glucose homeostasis.
“Alali et al. developed a model studying the effect of growth hormone on glucose homeostasis (52).”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [52]
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Cites
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Research works printed but not linked: 1
- DIAS CIFHA C., KAMATH S., VIDYASAGAR S., « Mathematical modelling and simulation of β-cell mass, insulin and glucose dynamics: Effect of genetic predisposition to diabetes », International Journal of Bioinformatics Research and Applications, Inderscience Publishers (IEL), vol. 4, n o 1-2, 90-103, 2018.
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A mathematical model for type 1 diabetes, on the effect of growth hormone
Ali, H. A., Boutayeb, W., Boutayeb, A., & Merabet, N. (2019) · International Conference on Modeling, Simulation, and Applied Optimization · doi:10.1109/icmsao.2019.8902178 · Cited by 11 · see citing works
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Ali, H. A., Daneshkhah, A., Boutayeb, A., Malunguza, N. J., & Mukandavire, Z. (2022) · Mathematics and Computers in Simulation · doi:10.1016/j.matcom.2022.05.008 · Cited by 9 · see citing works
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The progression of secondary diabetes: A review of modeling studies
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Nonlinear Physiological Model of Insulin-Glucose Regulation System in Type 1 Diabetes Mellitus
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Type-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
- Ali, H. A., Wiam, B., Abdesslam, B., & Nora, M.
- Affiliations
- School of Mathematics, Statistics & Computing
- Department of Mathematics
- ORCID
- Ali, Hannah Al
- Venue
- Revue Africaine de Recherche en Informatique et Mathématiques Appliquées
- Published
- 2019-06-08
- Volume
- Volume 30 - 2019 - MADEV...
- ISSN
- 1638-5713 (ISSN-L)
- OpenAlex
- W2903611035
- Cited by
- 9
- References
- 15
- Citations by year
- 2025: 2 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 2
- FWCI
- 1.67
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- cc-by
- Locations
- Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées (publishedVersion, cc-by)
- HAL (submittedVersion, other-oa)
- Topics
- Health Sciences › Medicine › Surgery › Pancreatic function and diabetes
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes Management and Research
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Growth Hormone and Insulin-like Growth Factors
- Keywords
- growth hormone, glucose homeostasis, beta-cell mass, insulin, insulin receptor, free fatty acids, glucose regulation, stability analysis, equilibrium points
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