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Research Article | Open Access

Mathematical modeling of alcohol-induced effects on bone remodeling dynamics

Inthira Chaiya1( )Teeraporn Kaewkrathok1Apasara Ploykanha1Din Prathumwan2Kamonchat Trachoo1
Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham, 44150, Thailand
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kean, 40002, Thailand
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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.

CLC number: 92-10, 92C37, 92C50, 37N25

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AIMS Mathematics
Pages 27696-27717

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Cite this article:
Chaiya I, Kaewkrathok T, Ploykanha A, et al. Mathematical modeling of alcohol-induced effects on bone remodeling dynamics. AIMS Mathematics, 2025, 10(11): 27696-27717. https://doi.org/10.3934/math.20251218

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Received: 01 September 2025
Revised: 11 November 2025
Accepted: 17 November 2025
Published: 27 November 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)