Academic Journal

A hybrid reaction-diffusion and mechanical stimulus model for mandibular bone remodeling under chewing and vibratory loading.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: A hybrid reaction-diffusion and mechanical stimulus model for mandibular bone remodeling under chewing and vibratory loading.
Συγγραφείς: Formiga JKS; Department of Environmental Engineering, São Paulo State University-UNESP/ICT, São José dos Campos, São Paulo, Brazil. Electronic address: jorge.formiga@unesp.br., Formiga ÍP; School of Dentistry, São Paulo State University-UNESP/ICT, São José dos Campos, São Paulo, Brazil., Pereira VF; School of Dentistry, São Paulo State University-UNESP/ICT, São José dos Campos, São Paulo, Brazil., Bressane A; Department of Environmental Engineering, São Paulo State University-UNESP/ICT, São José dos Campos, São Paulo, Brazil., Tango RN; School of Dentistry, Department of Dental Materials and Prosthodontics, São Paulo State University-UNESP/ICT, São José dos Campos, São Paulo, Brazil.
Πηγή: Journal of theoretical biology [J Theor Biol] 2026 Oct 07; Vol. 633, pp. 112527. Date of Electronic Publication: 2026 Jun 27.
Τύπος έκδοσης: Journal Article
Γλώσσα: English
Στοιχεία περιοδικού: Publisher: Elsevier Country of Publication: England NLM ID: 0376342 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1095-8541 (Electronic) Linking ISSN: 00225193 NLM ISO Abbreviation: J Theor Biol Subsets: MEDLINE
Imprint Name(s): Publication: Amsterdam : Elsevier
Original Publication: London.
Ιατρικοί όροι (MeSH): Bone Remodeling*/physiology , Mandible*/physiology , Mastication*/physiology , Vibration* , Models, Biological*, Osteoblasts/physiology ; Osteoblasts/cytology ; Osteoclasts/physiology ; Weight-Bearing/physiology ; Humans ; Stress, Mechanical ; Animals ; Computer Simulation ; Diffusion ; Biomechanical Phenomena
Περίληψη: Bone remodeling in the mandible is governed by the interplay between local mechanical loads, cellular population dynamics, and overload-induced resorption. While mastication is the primary physiological driver of mandibular adaptation, low-magnitude vibration has emerged as a promising noninvasive adjunct to enhance peri-implant bone stability. However, the mechanistic interaction between vibration and chewing-induced stimuli remains insufficiently clarified.This study presents a hybrid mechanobiological model that integrates a reaction-diffusion formulation for osteoblast, osteoclast, and mediator fields with a density evolution law combining adaptive regulation and overload penalization. The framework incorporates accumulated stimulus dynamics, a threshold-regulated lazy zone, and frequency-dependent vibratory modulation of cellular activity. Numerical simulations were performed under controlled physiological and mechanical conditions using spatially resolved density fields and Gaussian-distributed masticatory stresses.The model reproduced the canonical biphasic response of bone adaptation, with an initial anabolic phase followed by stabilization governed by overload-driven resorption. Under chewing alone, the density evolution progressively approached a quasi-stationary regime near 1.02-1.03 g/cm3, depending on load magnitude. When vibration was superimposed, a strong frequency-dependent anabolic effect emerged: 40 Hz increased steady-state density by approximately 3.5%, whereas 120 Hz produced gains near 10% (0.08-0.10 g/cm3), consistent with 80-100 HU changes measurable by CBCT. Spatially, mastication alone generated localized densification, while vibration broadened and homogenized the anabolic region, particularly at 120 Hz. Cellular simulations revealed accelerated and synchronized reductions in osteoblast and osteoclast populations under vibration, indicating enhanced mechanotransductive efficiency rather than increased metabolic demand. The agreement between simulated density gains and spatial adaptation patterns demonstrates that the proposed hybrid model captures key mechanobiological features of mandibular adaptation. The framework offers a rigorous and computationally efficient tool for predicting peri-implant bone remodeling under combined masticatory and vibratory stimuli, supporting the development of patient-specific vibration-based therapeutic strategies in oral and maxillofacial biomechanics.
(Copyright © 2026 The Authors. Published by Elsevier Ltd.. All rights reserved.)
Competing Interests: Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Contributed Indexing: Keywords: Bone remodeling; Mandible; Mechanical vibration
Entry Date(s): Date Created: 20260627 Date Completed: 20260809 Latest Revision: 20260809
Update Code: 20260810
DOI: 10.1016/j.jtbi.2026.112527
PMID: 42364727
Βάση Δεδομένων: MEDLINE
Περιγραφή
ISSN:1095-8541
DOI:10.1016/j.jtbi.2026.112527