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Mathematical Problems in Engineering - Volume 2015 2015, Article ID 398970, 10 pages -

Research Article

Laboratoire Modélisation et Simulation Multi Echelle MSME UMR 8208 CNRS, Université Paris-Est, 61 Avenue du Général de Gaulle, 94010 Créteil, France

Comsol France, 5 Place Robert Schuman, 38000 Grenoble, France

Received 1 July 2015; Accepted 8 September 2015

Academic Editor: Seungik Baek

Copyright © 2015 T. Lemaire et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Bone tissue can adapt its properties and geometry to its physical environment. This ability is a key pointin the osteointegration of bone implants since it controls the tissue remodeling in the vicinity of the treated site. Since interstitial fluid and ionic transport taking place in the fluid compartments of bone plays a major role in the mechanotransduction of bone remodeling, this theoretical study presents a three-scale model of the multiphysical transport phenomena taking place within the vasculature porosity and the lacunocanalicular network of cortical bone. These two porosity levels exchange mass and ions through the permeable outer wall of the Haversian-Volkmann canals. Thus, coupled equations of electrochemohydraulic transport arederived from the nanoscale of the canaliculi toward the cortical tissue, considering the intermediate scale of the intraosteonaltissue. In particular, the Onsager reciprocity relations that govern the coupled transport are checked.

Autor: T. Lemaire, J. Kaiser, S. Naili, and V. Sansalone



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