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Mathematical Model for the Dynamics of Glucose, Insulin and β-Cell Mass under the Effect of Trauma, Excitement and Stress
Open accessAbstract
In this work, we presented a mathematical model for the dynamics of glucose, insulin and beta-cell mass under the influence of trauma, excitement and/or stress, the model is an improvement on the work by [1]. We defined and incorporated a parameter to represent the effectiveness of epinephrine in suppressing insulin secretion and a parameter Ge representing epinephrine induced glucose increase as the factors that affect glucose and insulin homeostasis. The model which consists of a system of three nonlinear ordinary differential equations was used to investigate the effect of epinephrine on glucose, insulin and beta-cell mass dynamics. The result of the study showed that; In the presence of epinephrine, the blood glucose increased and the blood insulin decreased due to suppression by the hormone, despite the fact that there is an increase in beta-cell mass the system remained extremely hyperglycemic. Furthermore, the result of the numerical experiment carried out indicated that frequent epinephrine secretion into the blood induced prolong and extreme hyperglycemia. Frequent epinephrine secretion increases the risk of diabetes in humans. In view of the findings of this study, we recommend that there should be massive and continuous health education, especially for communities living in the areas where the stated agents (trauma, excitement and stress) of epinephrine secretion are common.
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“As we can deduce from the formulation of the model, Mohammed et al. assumed that epinephrine can raise glucose levels by increasing hepatic glucose production and suppressing insulin secretion.”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [36]
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References 5 · Cited by 6
Research works printed but not linked: 2
- Frank, N. and Mingxian, J. (2015) Mathematical Modelling and Simulations of the Pathophysiology of Type 2 Diabetes Mellitus. 8th International Conference on Biomedical Engineering and Informatics, Shenyang, 14-16 October 2015, 296-300. · DOI
- Ibrahim, I.A., Haruna, Y. and Garba, E.J.D. (2014) Mathematical Model for the Dynamics of Glucose Regulatory System under the Combined Effect of Dieting and Physical Activity. International Journal of Pure and Applied Science and Technology, 20, 88-100.
Metadata
- Authors
- Mohammed, I. I., Adamu, I. I., & Barka, S. J.
- Affiliations
- Gombe State College of Health Sciences and Technology Kaltungo (NG)
- Modibbo Adama University of Technology (NG)
- Venue
- Modeling and Numerical Simulation of Material Science
- Publisher
- Scientific Research Publishing, Inc.
- Published
- 2019
- Volume
- 09
- Issue
- 04
- Pages
- 71-96
- ISSN
- 2164-5345 (ISSN-L)
- 2164-5353
- OpenAlex
- W2976678218
- Cited by
- 6
- References
- 5
- Citations by year
- 2024: 1 · 2023: 2 · 2022: 1 · 2021: 1 · 2020: 1
- FWCI
- 0.72
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Modeling and Numerical Simulation of Material Science (publishedVersion, cc-by)
- Topics
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Pancreatic function and diabetes
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes Management and Research
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Diabetes and associated disorders
- Keywords
- epinephrine, hyperglycemia, stress, trauma (physical injury), diabetes risk, glucose homeostasis, nonlinear ordinary differential equations
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- The paper
- Mohammed, I. I., Adamu, I. I., & Barka, S. J. (2019). Mathematical Model for the Dynamics of Glucose, Insulin and β-Cell Mass under the Effect of Trauma, Excitement and Stress. Modeling and Numerical Simulation of Material Science. https://doi.org/10.4236/mnsms.2019.94005
