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Research Papers

Study of the Influence of Fibrous Pericellular Matrix in the Cortical Interstitial Fluid Movement With Hydroelectrochemical Effects

[+] Author and Article Information
Thibault Lemaire

Laboratoire De Mécanique Physique, CNRS UMR 7052 B2OA, Faculté Des Sciences et Technologie, Université Paris XII, Val De Marne, 61 Avenue du Général De Gaulle, 94010 Créteil Cédex, Francelemaire@univ-paris12.fr

Salah Naïli1

Laboratoire De Mécanique Physique, CNRS UMR 7052 B2OA, Faculté Des Sciences et Technologie, Université Paris XII, Val De Marne, 61 Avenue du Général De Gaulle, 94010 Créteil Cédex, Francenaili@univ-paris12.fr

Agnès Rémond

Laboratoire De Mécanique Physique, CNRS UMR 7052 B2OA, Faculté Des Sciences et Technologie, Université Paris XII, Val De Marne, 61 Avenue du Général De Gaulle, 94010 Créteil Cédex, Francea.remond@univ-paris12.fr

1

Corresponding author.

J Biomech Eng 130(1), 011001 (Feb 05, 2008) (11 pages) doi:10.1115/1.2838025 History: Received January 04, 2006; Revised July 03, 2007; Published February 05, 2008

Fluid flow within cortical bone tissue is modeled through an upscaling approach of a local description of the fluid movement. At the pore scale, the coupled phenomena (Poiseuille effect, osmosis, and electro-osmosis) governing the interstitial fluid movement are considered. Thus, actions of electro-osmotic and osmotic motions, in addition to the classical Poiseuille flow, are studied at the canaliculus scale by deriving a coupled Darcy law. The addition of a Brinkman-like term in this macroscopic result helps us to take into account the influence of the pericellular matrix on the coupled transport phenomena. At the canaliculus scale, the general trends that can be drawn from this study are as follows: (i) The presence of the fibrous matrix tends to reduce the fluid flow considerably; (ii) the role of osmotic and electro-osmotic effects is no longer negligible for dense fibrous media.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Schematic representation of a canaliculus. The annular space can be occupied by the fibrous pericellular matrix.

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Figure 2

Variation of the local permeability parameters κα at the pore scale. Various values of the fiber permeability parameter kf expressed in m2 are considered: kf→∞ (bold solid line), kf=5×10−14 (dashed-dotted line), kf=5×10−15 (dotted line), kf=5×10−16 (thin dashed line), kf=5×10−17 (thin solid line), and kf=5×10−18 (bold dashed line). (a) Poiseuille effect; (b) Osmotic effect; and (c) Electro-osmotic effect.

Grahic Jump Location
Figure 3

Comparison between the three driving parts of the fluid flow for various values of the fiber parameter kf: Poiseuille effect (dark gray); Osmosis effect (gray); and electro-osmosis effect (black)

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Figure 4

Variation of the macroscopic fluid velocity in the canaliculus with the density of the pericellular matrix. The borderline Stokesian case corresponds to the dashed line.

Grahic Jump Location
Figure 5

Variation of the double layer electric potential φ at the pore scale

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