Modelling of the transport in electrically charged porous media including ionic exchanges

被引:29
作者
Lemaire, Thibault [1 ]
Kaiser, Joanna [1 ]
Naili, Salah [1 ]
Sansalone, Vittorio [1 ]
机构
[1] Univ Paris Est, Lab Modelisat & Simulat Multi Echelle, MSME UMR 8208 CNRS, F-94010 Creteil, France
关键词
Multiscale modelling; Charged porous media; Ionic exchanges; Nernst-Planck equations; CORTICAL BONE; FLUID; SCALE;
D O I
10.1016/j.mechrescom.2010.05.009
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this study, a multiscale model of interstitial fluid transport within bone tissues is proposed. Based on an asymptotic homogenization procedure, it takes into account the possible ionic exchanges at the pore level. Since these chemical reactions directly change the physico-chemical properties of the tissues, the macroscopically observed flow is also modified as shown by the calculated effective diffusion coefficients. Such an approach is interesting to study the bone remodelling signals expression. Due to the presence of charged surfaces in the bone porous matrix, the electrochemical phenomena occurring in the vicinity of mechano-sensitive bone cells, the osteocytes, are key elements in the cellular expression. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:495 / 499
页数:5
相关论文
共 21 条
[1]  
[Anonymous], 1953, SOIL SCI
[2]   TAYLOR DISPERSION IN POROUS-MEDIA - ANALYSIS BY MULTIPLE SCALE EXPANSIONS [J].
AURIAULT, JL ;
ADLER, PM .
ADVANCES IN WATER RESOURCES, 1995, 18 (04) :217-226
[3]   Strain-derived canalicular fluid flow regulates osteoclast activity in a remodelling osteon - a proposal [J].
Burger, EH ;
Klein-Nulend, J ;
Smit, TH .
JOURNAL OF BIOMECHANICS, 2003, 36 (10) :1453-1459
[4]   Elaboration of assumptions for the fluid problem at microscopic scale in Sinupros, mathematical model of cortical bone [J].
Crolet, J. M. ;
Racila, M. .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (11-12) :2182-2190
[5]  
Hunter R. J., 2001, Foundations of Colloid Science, V2nd ed.
[6]   Multiscale modelling of fluid flow in charged porous media including cationic exchanges: application to bone tissues [J].
Kaiser, Joanna ;
Lemaire, Thibault ;
Naili, Salah ;
Sansalone, Vittorio .
COMPTES RENDUS MECANIQUE, 2009, 337 (11-12) :768-775
[7]   Multiscale analysis of the coupled effects governing the movement of interstitial fluid in cortical bone [J].
Lemaire, T ;
Naïli, S ;
Rémond, A .
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, 2006, 5 (01) :39-52
[8]   Imbibition test in a clay powder (MX-80 bentonite) [J].
Lemaire, T ;
Moyne, C ;
Stemmelen, D .
APPLIED CLAY SCIENCE, 2004, 26 (1-4) :235-248
[9]  
LEMAIRE T, 2002, POROMECHANICS, V2, P489
[10]  
Lemaire T., 2008, RECONSTRUCTION OSSEU, P57