Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study

Ikram Imken; Nadia Idrissi Fatmi

doi:doi:10.11648/j.ajam.20241206.16

Research Article |

| Peer-Reviewed

Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study

Ikram Imken^*

, Nadia Idrissi Fatmi

Published in American Journal of Applied Mathematics (Volume 12, Issue 6)

Received: 17 November 2024 Accepted: 5 December 2024 Published: 24 December 2024

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

Hypertension, or high blood pressure, is a chronic condition where blood pressure in the arteries remains elevated, leading to severe complications such as heart disease, stroke, and kidney failure. Managing hypertension is particularly challenging when comorbid conditions like type 2 diabetes are present. This paper investigates the combined impact of type 2 diabetes and alcohol consumption on hypertension progression using a deterministic mathematical model. We analyze the model’s dynamics, calculate the basic reproduction number (R₀), and perform a sensitivity analysis to identify key parameters influencing the progression of hypertension. Stability analysis shows that the system is stable at both the drinking-free equilibrium and the equilibrium with alcohol consumption. Our findings indicate that reducing alcohol intake significantly lowers the risk of hypertension in diabetic patients. The paper also explores strategies to manage hypertension and diabetes through family support, patient education, and lifestyle modifications such as diet and physical activity. Additionally, Pontryagin’s maximum principle is used to optimize these intervention strategies. The results, solved numerically using Matlab, validate the effectiveness of these optimized approaches in controlling hypertension and improving the overall health of patients. Future research may explore the impact of psychological stress on disease progression and incorporate stochastic elements into the model to better reflect real-world variability.

Published in	American Journal of Applied Mathematics (Volume 12, Issue 6)
DOI	10.11648/j.ajam.20241206.16
Page(s)	266-285
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Mathematical Model, Hypertension, Alcohol, Diabetes 2, Stability Local and Global, Sensitivity Index, Optimal Control

References

[1]	World Health Organization, Hypertension, 2024, https://www.who.int/health-topics/hypertension#tab=tab_1 , Accessed: 2024-06-09.
[2]	World Health Organization, Hypertension Fact Sheet, 2023, https://www.who.int/news-room/fact-sheets/detail/hypertension , Accessed: 2024-06-09.
[3]	C.Lian, L’alcoholisme cause d’hypertension arterielle, Bull Acad Med, (1915), 74, 8.
[4]	A. L.Klatsky, M. A. Armstrong, G. D. Friedman, Relations of alcoholic beverage use to subsequent coronary artery disease hospitalization, American Journal of Cardiology, 58, (1986), 710–714, https://doi.org/10.1016/0002-9149(86)90342-5
[5]	Klatsky, A. L., Armstrong, M. A., and Friedman, G. D., Risk of cardiovascular mortality in alcohol drinkers, ex-drinkers and nondrinkers, American Journal of Cardiology, (1990), 66, 1237–1242, https://doi.org/10.1016/0002-9149(90)91107-h
[6]	C. S. Fuchs, M. J. Stampfer, G. A. Colditz, E. L. Giovannucci, J. E. Manson, I. Kawachi, D. J. Hunter, S. E. Hankinson, C. H. Hennekens, B. Rosner, Alcohol consumption and mortality among women, New England Journal of Medicine, (1995), 332, 1245–1250, https://doi.org/10.1056/NEJM199505113321901
[7]	E. B. Rimm, E. L. Giovannucci, W. C. Willett, G. A. Colditz, A. Ascherio, B. Rosner, M. J. Stampfer, Prospective study of alcohol consumption and risk of coronary disease in men, Lancet, (1991), 338, 464–468, https://doi.org/10.1016/0140-6736(91)90542-w
[8]	E. B. Rimm, A. Klatsky, D. Grobbee, M. J. Stampfer, Review of moderate alcohol consumption and reduced risk of coronary heart disease: is the effect due to beer, wine, or spirits, BMJ, (1996), 312, 731–736, https://doi.org/10.1136/bmj.312.7033.731
[9]	B. Xi, S. P. Veeranki, M. Zhao, C. Ma, Y. Yan, J. Mi, Relationship of alcohol consumption to all-cause, cardiovascular, and cancer-related mortality in U.S. adults, Journal of the American College of Cardiology, (2017), 70, 913–922, https://doi.org/10.1016/j.jacc.2017.06.054
[10]	B. Taylor, H. M. Irving, D. Baliunas, M. Roerecke, J. Patra, S. Mohapatra, J. Rehm, Alcohol and hypertension: gender differences in dose? response relationships determined through systematic review and meta-analysis, Addiction, (2009), 104, 1981–1990, https://doi.org/10.1111/j.1360-0443.2009.02694.x
[11]	M. Roerecke, J. Kaczorowski, S. W. Tobe, G. Gmel, O. Hasan, J. Rehm, The effect of a reduction in alcohol consumption on blood pressure: a systematic review and meta-analysis, The Lancet Public Health, (2017), 2, e108–e120, https://doi.org/10.1016/S2468-2667(17)30003-8
[12]	J. J. Mayl, Association of Alcohol Intake With Hypertension in Type 2 Diabetes Mellitus: The ACCORD Trial, Journal of the American Heart Association, (2020), https://doi.org/10.1161/JAHA.120.017334
[13]	S. Ma, H. Huo, X. Meng, Modelling alcoholism as a contagious disease: a mathematical model with awareness programs and time delay, Discrete Dynamics in Nature and Society, 2015, (2015), 260195, https://doi.org/10.1155/2015/260195
[14]	S. Sharma, G. P. Samanta, Drinking as an epidemic: a mathematical model with dynamic behaviour, Journal of Applied Mathematics and Informatics, (2013), 31, 1–25, https://doi.org/10.14317/JAMI.2013.001
[15]	B. Benedict, Modeling alcoholism as a contagious disease: how “infected” drinking buddies spread problem drinking, SIAM News, (2007), 40, 1–3.
[16]	H. F. Huo, S. R. Huang, X. Y. Wang, et al, Optimal control of a social epidemic model with media coverage, Journal of Biological Dynamics, (2017), 11, 226–243, https://doi.org/10.1080/17513758.2017.1321792
[17]	I. Adu, M. Osman, C. Yang, Mathematical model of drinking epidemic, British Journal of Mathematics & Computer Science, (2017), 22, https://doi.org/10.9734/bjmcs/2017/33659
[18]	I. Imken, N. I. Fatmi, S.Elamari, A new model of the spread of COVID-19 among diabetes population: a mathematical analysis and optimal control approach for intervention strategies, Communications in Mathematical Biology and Neuroscience, 2023, (2023), Article ID 123, https://doi.org/10.28919/cmbn/8264
[19]	I. Imken, N. I. Fatmi, A new mathematical model of drinking alcohol among diabetes population taking anti-diabetic drugs: an optimal control approach, Communications in Mathematical Biology and Neuroscience, 2024, (2024), Article ID 5, https://doi.org/10.28919/cmbn/8359
[20]	S. V. Badescu, C. Tataru, L. Kobylinska, E. L. Georgescu, D. M. Zahiu, A. M. Z˘ agrean, L. Zagrean, The association between diabetes mellitus and depression, Journal of Medicine and Life, (2016), 9(2), 120–125, PMID 27453739.
[21]	S. P. Veeranki, M. Zhao, C. Ma, Y. Yan, J. Mi, Relationship of alcohol consumption to all-cause, cardiovascular, and cancer-related mortality in U.S. adults, Journal of the American College of Cardiology, (2017), 70, 913–922, https://doi.org/10.1016/j.jacc.2017.06.054
[22]	J. Rehm, M. Roerecke, Cardiovascular effects of alcohol consumption, Trends in Cardiovascular Medicine, (2017), 27, 534–538, https://doi.org/10.1016/j.tcm.2017.06.002
[23]	J. P. LaSalle, The Stability of Dynamical Systems, SIAM, (1976), Regional Conference Series in Applied Mathematics, Volume 25.
[24]	S. Nababan, A Filippov-type lemma for functions involving delays and its application to time-delayed optimal control problems, Journal of Optimization Theory and Applications, (1979), 27, 357–376, https://doi.org/10.1007/BF00933030
[25]	D. Mikhailov, A. Pikovsky, Introduction to Nonlinear Dynamics and Chaos, Springer, (1999).

Cite This Article

Plain Text BibTeX RIS

APA Style

Imken, I., Fatmi, N. I. (2024). Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study. American Journal of Applied Mathematics, 12(6), 266-285. https://doi.org/10.11648/j.ajam.20241206.16

Copy | Download

ACS Style

Imken, I.; Fatmi, N. I. Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study. Am. J. Appl. Math. 2024, 12(6), 266-285. doi: 10.11648/j.ajam.20241206.16

Copy | Download

AMA Style

Imken I, Fatmi NI. Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study. Am J Appl Math. 2024;12(6):266-285. doi: 10.11648/j.ajam.20241206.16

Copy | Download

@article{10.11648/j.ajam.20241206.16,
  author = {Ikram Imken and Nadia Idrissi Fatmi},
  title = {Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study},
  journal = {American Journal of Applied Mathematics},
  volume = {12},
  number = {6},
  pages = {266-285},
  doi = {10.11648/j.ajam.20241206.16},
  url = {https://doi.org/10.11648/j.ajam.20241206.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20241206.16},
  abstract = {Hypertension, or high blood pressure, is a chronic condition where blood pressure in the arteries remains elevated, leading to severe complications such as heart disease, stroke, and kidney failure. Managing hypertension is particularly challenging when comorbid conditions like type 2 diabetes are present. This paper investigates the combined impact of type 2 diabetes and alcohol consumption on hypertension progression using a deterministic mathematical model. We analyze the model’s dynamics, calculate the basic reproduction number (R0), and perform a sensitivity analysis to identify key parameters influencing the progression of hypertension. Stability analysis shows that the system is stable at both the drinking-free equilibrium and the equilibrium with alcohol consumption. Our findings indicate that reducing alcohol intake significantly lowers the risk of hypertension in diabetic patients. The paper also explores strategies to manage hypertension and diabetes through family support, patient education, and lifestyle modifications such as diet and physical activity. Additionally, Pontryagin’s maximum principle is used to optimize these intervention strategies. The results, solved numerically using Matlab, validate the effectiveness of these optimized approaches in controlling hypertension and improving the overall health of patients. Future research may explore the impact of psychological stress on disease progression and incorporate stochastic elements into the model to better reflect real-world variability.},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study
AU  - Ikram Imken
AU  - Nadia Idrissi Fatmi
Y1  - 2024/12/24
PY  - 2024
N1  - https://doi.org/10.11648/j.ajam.20241206.16
DO  - 10.11648/j.ajam.20241206.16
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 266
EP  - 285
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20241206.16
AB  - Hypertension, or high blood pressure, is a chronic condition where blood pressure in the arteries remains elevated, leading to severe complications such as heart disease, stroke, and kidney failure. Managing hypertension is particularly challenging when comorbid conditions like type 2 diabetes are present. This paper investigates the combined impact of type 2 diabetes and alcohol consumption on hypertension progression using a deterministic mathematical model. We analyze the model’s dynamics, calculate the basic reproduction number (R0), and perform a sensitivity analysis to identify key parameters influencing the progression of hypertension. Stability analysis shows that the system is stable at both the drinking-free equilibrium and the equilibrium with alcohol consumption. Our findings indicate that reducing alcohol intake significantly lowers the risk of hypertension in diabetic patients. The paper also explores strategies to manage hypertension and diabetes through family support, patient education, and lifestyle modifications such as diet and physical activity. Additionally, Pontryagin’s maximum principle is used to optimize these intervention strategies. The results, solved numerically using Matlab, validate the effectiveness of these optimized approaches in controlling hypertension and improving the overall health of patients. Future research may explore the impact of psychological stress on disease progression and incorporate stochastic elements into the model to better reflect real-world variability.
VL  - 12
IS  - 6
ER  -

Copy | Download

Author Information

Ikram Imken

LIPIM Laboratory ENSA Khouribga, Sultan Moulay Slimane University, Beni Mellal, Morocco

Contact Email

http://orcid.org/0009-0000-3600-2831
Nadia Idrissi Fatmi

LIPIM Laboratory ENSA Khouribga, Sultan Moulay Slimane University, Beni Mellal, Morocco

Contact Email

http://orcid.org/0000-0001-7423-3008

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Imken, I., Fatmi, N. I. (2024). Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study. American Journal of Applied Mathematics, 12(6), 266-285. https://doi.org/10.11648/j.ajam.20241206.16

Copy | Download

ACS Style

Imken, I.; Fatmi, N. I. Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study. Am. J. Appl. Math. 2024, 12(6), 266-285. doi: 10.11648/j.ajam.20241206.16

Copy | Download

AMA Style

Imken I, Fatmi NI. Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study. Am J Appl Math. 2024;12(6):266-285. doi: 10.11648/j.ajam.20241206.16

Copy | Download

@article{10.11648/j.ajam.20241206.16,
  author = {Ikram Imken and Nadia Idrissi Fatmi},
  title = {Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study},
  journal = {American Journal of Applied Mathematics},
  volume = {12},
  number = {6},
  pages = {266-285},
  doi = {10.11648/j.ajam.20241206.16},
  url = {https://doi.org/10.11648/j.ajam.20241206.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20241206.16},
  abstract = {Hypertension, or high blood pressure, is a chronic condition where blood pressure in the arteries remains elevated, leading to severe complications such as heart disease, stroke, and kidney failure. Managing hypertension is particularly challenging when comorbid conditions like type 2 diabetes are present. This paper investigates the combined impact of type 2 diabetes and alcohol consumption on hypertension progression using a deterministic mathematical model. We analyze the model’s dynamics, calculate the basic reproduction number (R0), and perform a sensitivity analysis to identify key parameters influencing the progression of hypertension. Stability analysis shows that the system is stable at both the drinking-free equilibrium and the equilibrium with alcohol consumption. Our findings indicate that reducing alcohol intake significantly lowers the risk of hypertension in diabetic patients. The paper also explores strategies to manage hypertension and diabetes through family support, patient education, and lifestyle modifications such as diet and physical activity. Additionally, Pontryagin’s maximum principle is used to optimize these intervention strategies. The results, solved numerically using Matlab, validate the effectiveness of these optimized approaches in controlling hypertension and improving the overall health of patients. Future research may explore the impact of psychological stress on disease progression and incorporate stochastic elements into the model to better reflect real-world variability.},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study
AU  - Ikram Imken
AU  - Nadia Idrissi Fatmi
Y1  - 2024/12/24
PY  - 2024
N1  - https://doi.org/10.11648/j.ajam.20241206.16
DO  - 10.11648/j.ajam.20241206.16
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 266
EP  - 285
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20241206.16
AB  - Hypertension, or high blood pressure, is a chronic condition where blood pressure in the arteries remains elevated, leading to severe complications such as heart disease, stroke, and kidney failure. Managing hypertension is particularly challenging when comorbid conditions like type 2 diabetes are present. This paper investigates the combined impact of type 2 diabetes and alcohol consumption on hypertension progression using a deterministic mathematical model. We analyze the model’s dynamics, calculate the basic reproduction number (R0), and perform a sensitivity analysis to identify key parameters influencing the progression of hypertension. Stability analysis shows that the system is stable at both the drinking-free equilibrium and the equilibrium with alcohol consumption. Our findings indicate that reducing alcohol intake significantly lowers the risk of hypertension in diabetic patients. The paper also explores strategies to manage hypertension and diabetes through family support, patient education, and lifestyle modifications such as diet and physical activity. Additionally, Pontryagin’s maximum principle is used to optimize these intervention strategies. The results, solved numerically using Matlab, validate the effectiveness of these optimized approaches in controlling hypertension and improving the overall health of patients. Future research may explore the impact of psychological stress on disease progression and incorporate stochastic elements into the model to better reflect real-world variability.
VL  - 12
IS  - 6
ER  -

Copy | Download