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Journal of the Mechanical Behavior of Biomedical Materials
Article . 2011 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
ZENODO
Article . 2011
Data sources: ZENODO
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Numerical model of bone remodeling sensitive to loading frequency through a poroelastic behavior and internal fluid movements

Authors: Malachanne, Etienne; Dureisseix, David; Jourdan, Franck;

Numerical model of bone remodeling sensitive to loading frequency through a poroelastic behavior and internal fluid movements

Abstract

In this article, a phenomenological numerical model of bone remodeling is proposed. This model is based on the poroelasticity theory in order to take into account the effects of fluid movements in bone adaptation. Moreover, the proposed remodeling law is based on the classical 'Stanford' law, enriched in order to take into account the loading frequency, through fluid movements. This coupling is materialized by a quadratic function of Darcy velocity. The numerical model is carried out, using a finite element method, and calibrated using experimental results at macroscopic level, from the literature. First results concern cyclic loadings on a mouse ulna, at different frequencies between 1 Hz and 30 Hz, for a force amplitude of 1.5 N and 2 N. Experimental results exhibit a sensitivity to the loading frequency, with privileged frequency for bone remodeling between 5 Hz and 10 Hz, for the force amplitude of 2 N. For the force amplitude of 1.5 N, no privileged frequencies for bone remodeling are highlighted. This tendency is reproduced by the proposed numerical computations. The model is identified on a single case (one frequency and one force amplitude) and validated on the other ones. The second experimental validation deals with a different loading regime, an internal fluid pressure at 20 Hz on a turkey ulna. The same framework is applied, and the numerical and experimental data are still matching in terms of gain in bone mass density.

Keywords

Reproducibility of Results, Ulna, Models, Biological, Elasticity, Mice, Hydrodynamics, Animals, Bone Remodeling, Stress, Mechanical, Porosity

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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