Trabecular Surface Remodeling Simulation for Cancellous Bone Using Microstructural Voxel Finite Element Models

[+] Author and Article Information
Taiji Adachi, Ken-ichi Tsubota, Yoshihiro Tomita

Department of Mechanical Engineering, Faculty of Engineering, Kobe University, Nada, Kobe 657-8501 Japan

Scott J. Hollister

Departments of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109-2125

J Biomech Eng 123(5), 403-409 (Apr 25, 2001) (7 pages) doi:10.1115/1.1392315 History: Received February 22, 2000; Revised April 25, 2001
Copyright © 2001 by ASME
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Model of trabecular surface remodeling driven by nonuniformity of the mechanical stimulus σ on the trabecular surface. (a) Driving force of remodeling Γ is defined as the relative difference between stress σc at xc and σd determined by integrating stress σr at xr at the neighboring point (l<lL) with weight function w(l). (b) Remodeling rate equation Ṁ=Ṁ(Γ) as a function of the driving force of remodeling Γ representing nonuniformity in mechanical stimulus σ at xc on the trabecular surface.
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Remodeling simulation for single trabecula under compressive loading, σ3=F3/a1a2: (a) Model Z; (b) Model Y; (c) Model X
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Changes of three-dimensional architecture of cancellous bone cube and fabric ellipsoid; X1–X3 cross section and fabric ellipse, due to trabecular surface remodeling under compressive loading: (a) initial voxel finite element model (200×200×200 voxel elements) based on μCT digital image obtained from canine distal femur, (b) 10th step, (c) 20th step, and (d) 50th step
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Changes in structural indices, principal direction of trabecular architecture and apparent stiffness of cancellous bone due to remodeling under compressive load: (a) bone volume fraction (BV/TV); (b) trabecular bone thickness (Tb.Th); (c) trabecular bone number (Tb.N); (d) trabecular bone separation (Tb.Sp); (e) angle Θi3 between principal direction of Hi and loading axis X3; and (f) apparent stiffness σii in Xi direction




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