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Impact of Physical Exercises and Nutrition in Patients with Diabetes Mellitus: A Boolean Algebra and Stability Analysis Approach
Subject area: Science,Engineering and Technology · Area of research: Mathematica Modeling
Abstract
Diabetes mellitus is a chronic condition with increasing global prevalence, requiring effective management strategies to prevent complications. Physical exercise and proper nutrition are well-established interventions to improve glycemic control. In this paper, we utilize Boolean algebra to model the combined effects of these interventions and analyze the stability of diabetes control under different scenarios. Our approach demonstrates the necessity of both physical exercise and nutrition for optimal and stable management of diabetes mellitus.
Keywords
Diabetes Mellitus, Boolean algebra, Physical Exercise, Nutrition, Adherence, Stability Analysis
References
[1] American Diabetes Association. (2023). “Standards of Medical Care in Diabetes—2023.” Diabetes Care, 46(Supplement 1).
[2] Colberg, S. R., Sigal, R. J., Yardley, J. E., et al. (2016). “Physical Activity/Exercise and Diabetes: A Position Statement of the American Diabetes Association.” Diabetes Care, 39(11), 2065- 2079.
[3] Elizabeth Mala, Wilys O. Mukuna, Maurice Owino Odour (2021). A Mathematical Model for the Effects of Physical Activity and Nutrition in Patients with Diabetes Mellitus, The International Journal of Science and Technoledge, vol. 9, Issue 2.
[4] Franz, M. J., MacLeod, J., Evert, A., et al. (2017). “Nutrition therapy for adults with diabetes or prediabetes: A consensus report.” Diabetes Care, 40(6), 940-947.
[5] Kwach. B., Ongati. O., Simwa.R. (2014). Mathematical Model for detecting Diabetes in the blood, Journal Applied Mathematical Sciences 5(6),279-286.
[6] Look AHEAD Research Group. (, 2010). “Long-term effects of a lifestyle intervention on weight and cardiovascular risk factors in individuals with type 2 diabetes mellitus: four-year results of the Look AHEAD trial.” Archives of Internal Medicine, 170(17), 1566-1575.
[7] Richard S. Varga. (2004) Gershgorin and His Circles. 2nd Edition, Springer, Berlin, Heidelberg.
How to cite this paper
@article{1709346,
author = {Boniface O. Kwach},
title = {Impact of Physical Exercises and Nutrition in Patients with Diabetes Mellitus: A Boolean Algebra and Stability Analysis Approach},
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {8},
number = {12},
pages = {1297-1302},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1709346.pdf},
abstract = {Diabetes mellitus is a chronic condition with increasing global prevalence, requiring effective management strategies to prevent complications. Physical exercise and proper nutrition are well-established interventions to improve glycemic control. In this paper, we utilize Boolean algebra to model the combined effects of these interventions and analyze the stability of diabetes control under different scenarios. Our approach demonstrates the necessity of both physical exercise and nutrition for optimal and stable management of diabetes mellitus.},
keywords = {Diabetes Mellitus, Boolean algebra, Physical Exercise, Nutrition, Adherence, Stability Analysis},
month = {June},
}