A study of the viscoelastic effect in a bone remodeling model

被引:0
作者
Sébastien Baïotto
Mustapha Zidi
机构
[1] Université Paris 12 Val de Marne,Faculté de Médecine
[2] Université Paris 12 Val de Marne,undefined
[3] UMR CNRS 7054,undefined
来源
Biomechanics and Modeling in Mechanobiology | 2009年 / 8卷
关键词
Bone remodeling; Viscosity; N-Unit elements model; Stability; Finite element;
D O I
暂无
中图分类号
学科分类号
摘要
The present paper addresses the following question can a simple regulatory bone remodeling model predict effects of viscosity on the trabecular morphology? For that, we propose an extension of a previous bone remodeling model by taking into account the viscosity properties of the tissue. Zener’s law is used to describe the mechanical behavior of the bone and a specific law of the apparent bone density rate is proposed. Based on stability analysis, numerical simulations are then performed to investigate the viscosity role on simulations of the bone remodeling process. We show that the viscous contribution affects the evolution of the apparent bone density, by slowing down the adaptation process, which seems to be confirmed by simulations with real data obtained from rat tibia.
引用
收藏
页码:129 / 139
页数:10
相关论文
共 65 条
[1]  
Baïotto S(2004)Un modèle viscoélastique de remodelage osseux: approche unidimensionnelle CR Acad Paris IIb 332 633-638
[2]  
Zidi M(2004)Theoretical and numerical study of bone remodeling model: dependence of osteocyte cells distribution Biomech Model Mechanobiol 3 6-16
[3]  
Baïotto S(1999)Bisphosphonate effects in rat unloaded hindlimb bone loss model: three-dimensional microcomputed tomographic, histomorphometric and densitometric analyses J Pharmacol Exp Ther 291 321-328
[4]  
Zidi M(1999)Femoral vein ligation increases bone mass in the hindlimb suspended rat Bone 24 171-177
[5]  
Barou O(1962)Mechanics of deformation and acoustic propagation in porous media J Appl Phys 38 2450-2455
[6]  
Lafage-Proust M(1994)Compressive creep behavior of bovine trabecular bone J Biomech 27 301-310
[7]  
Martel C(1977)The compressive behavior of bone as two-phase porous structure J Bone Joint Surg 59 954-962
[8]  
Thomas T(2006)Comparison of two numerical approaches for bone remodeling Med Eng Phys 29 134-139
[9]  
Tirode F(1993)Bone stress adaptation model J Biomech Eng 115 528-533
[10]  
Laroche N(1991)Candidates for the mechanosensory system in bone J Biomech Eng 113 191-197