Mathematical modeling of alcohol-induced effects on bone remodeling dynamics

Inthira Chaiya; Teeraporn Kaewkrathok; Apasara Ploykanha; Din Prathumwan; Kamonchat Trachoo; Inthira Chaiya; Teeraporn Kaewkrathok; Apasara Ploykanha; Din Prathumwan; Kamonchat Trachoo

doi:10.3934/math.20251218

AIMS Mathematics

2025, Volume 10, Issue 11: 27696-27717. doi: 10.3934/math.20251218

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Mathematical modeling of alcohol-induced effects on bone remodeling dynamics

1.
Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham, 44150, Thailand
2.
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kean, 40002, Thailand

Received: 01 September 2025 Revised: 11 November 2025 Accepted: 17 November 2025 Published: 27 November 2025
MSC : 92-10, 92C37, 92C50, 37N25

This study develops a mathematical model to investigate the impact of alcohol consumption on bone remodeling dynamics, thereby focusing on osteoclast, osteoblast, and bone mass interactions. Extending Komarova's framework, the model incorporates alcohol-dependent regulatory factors which influence cell proliferation and apoptosis. Analytical methods are used to determine the steady states and assess the local stability via the Jacobian matrix, while numerical simulations in MATLAB illustrate the system behavior under varying alcohol levels. The results show that moderate alcohol intake supports stable and periodic remodeling, whereas excessive or insufficient consumption disrupts the equilibrium, which leads to bone loss. These findings provide quantitative insights into alcohol-induced bone disorders and highlight the importance of maintaining moderate alcohol consumption for skeletal health.
- mathematical model,
- bone remodeling,
- alcohol,
- stability
Citation: Inthira Chaiya, Teeraporn Kaewkrathok, Apasara Ploykanha, Din Prathumwan, Kamonchat Trachoo. Mathematical modeling of alcohol-induced effects on bone remodeling dynamics[J]. AIMS Mathematics, 2025, 10(11): 27696-27717. doi: 10.3934/math.20251218

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Abstract

This study develops a mathematical model to investigate the impact of alcohol consumption on bone remodeling dynamics, thereby focusing on osteoclast, osteoblast, and bone mass interactions. Extending Komarova's framework, the model incorporates alcohol-dependent regulatory factors which influence cell proliferation and apoptosis. Analytical methods are used to determine the steady states and assess the local stability via the Jacobian matrix, while numerical simulations in MATLAB illustrate the system behavior under varying alcohol levels. The results show that moderate alcohol intake supports stable and periodic remodeling, whereas excessive or insufficient consumption disrupts the equilibrium, which leads to bone loss. These findings provide quantitative insights into alcohol-induced bone disorders and highlight the importance of maintaining moderate alcohol consumption for skeletal health.

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