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research-article

Bone Remodeling under Vibration: A Computational Model of Bone Remodeling Incorporating the Modal Behavior of Bone

[+] Author and Article Information
Amir Ostadi Moghaddam

School of Mechanical Eng., College of Engineering Kargar St. North, Jalal Ale Ahmad Intersection Tehran, Tehran 11155-4563 Islamic Republic Of Iran
amir.ostadi3@gmail.com

Mohammad Mahjoob

School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran; Center for Advance Orthopedic Studies, BID Medical Center, Harvard Medical School, Boston, MA, USA
mmahjoob@bidmc.harvard.edu

Ara Nazarian

Center for Advance Orthopedic Studies, BID Medical Center, Harvard Medical School, Boston, MA, USA
anazaria@bidmc.harvard.edu

1Corresponding author.

ASME doi:10.1115/1.4040602 History: Received November 08, 2017; Revised June 01, 2018

Abstract

Developing precise computational models of bone remodeling can lead to more successful types of orthopedic treatments and deeper understanding of the phenomenon. Empirical evidence has shown that bone adaptation to mechanical loading is frequency dependent and the modal behavior of bone under vibration can play a significant role in remodeling process, particularly in the resonance region. The objective of this study is to develop a bone remodeling algorithm that takes into account the effects of bone vibrational behavior. An extended/modified model is presented based on conventional FE remodeling models. Frequency domain analysis is used to introduce appropriate correction coefficients to incorporate the effect of bone's frequency response into the model. The method is implemented on a bovine bone with known modal/vibration characteristics. The rate and locations of new bone formation depend on the loading frequency and are consistently correlated with the bone modal behavior. The proposed method can successfully integrate the bone vibration conditions and characteristics with the remodeling process. The results obtained support experimental observations in the literature.

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