Three-Scale Multiphysics Modeling of Transport Phenomena within Cortical Bone

作者: T. Lemaire , J. Kaiser , S. Naili , V. Sansalone

DOI: 10.1155/2015/398970

关键词: Biomedical engineeringBiophysicsTransport phenomenaCortical boneBone remodelingMaterials scienceInterstitial fluidBone tissueBone canaliculusOsseointegrationMultiphysics

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

参考文章(40)
Thibault Lemaire, Salah Naili, Multiscale Approach to Understand the Multiphysics Phenomena in Bone Adaptation Springer Berlin Heidelberg. ,vol. 14, pp. 31- 72 ,(2013) , 10.1007/8415_2012_149
Jason R. Looker, Steven L. Carnie, Homogenization of the Ionic Transport Equations in Periodic Porous Media Transport in Porous Media. ,vol. 65, pp. 107- 131 ,(2006) , 10.1007/S11242-005-6080-9
Christian Moyne, Márcio Murad, Macroscopic behavior of swelling porous media derived from micromechanical analysis Transport in Porous Media. ,vol. 50, pp. 127- 151 ,(2003) , 10.1023/A:1020665915480
Robert John Hunter, Zeta potential in colloid science : principles and applications Published in <b>1981</b> in London by Academic press. ,(1981)
Vittorio Sansalone, Joanna Kaiser, Salah Naili, Thibault Lemaire, Interstitial fluid flow within bone canaliculi and electro-chemo-mechanical features of the canalicular milieu: a multi-parametric sensitivity analysis. Biomechanics and Modeling in Mechanobiology. ,vol. 12, pp. 533- 553 ,(2013) , 10.1007/S10237-012-0422-7
Eduard Rohan, Salah Naili, Thibault Lemaire, Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem Continuum Mechanics and Thermodynamics. ,vol. 28, pp. 1263- 1293 ,(2016) , 10.1007/S00161-015-0475-9
T. Lemaire, J. Kaiser, S. Naili, V. Sansalone, Textural versus electrostatic exclusion‐enrichment effects in the effective chemical transport within the cortical bone: A numerical investigation International Journal for Numerical Methods in Biomedical Engineering. ,vol. 29, pp. 1223- 1242 ,(2013) , 10.1002/CNM.2571
Patrick J. Kelly, Pathways of Transport in Bone Comprehensive Physiology. pp. 371- 396 ,(2011) , 10.1002/CPHY.CP020312
T. Lemaire, T.T. Pham, E. Capiez-Lernout, N.H. de Leeuw, S. Naili, Water in hydroxyapatite nanopores: Possible implications for interstitial bone fluid flow. Journal of Biomechanics. ,vol. 48, pp. 3066- 3071 ,(2015) , 10.1016/J.JBIOMECH.2015.07.025
J. Kaiser, T. Lemaire, S. Naili, V. Sansalone, S.V. Komarova, Do calcium fluxes within cortical bone affect osteocyte mechanosensitivity Journal of Theoretical Biology. ,vol. 303, pp. 75- 86 ,(2012) , 10.1016/J.JTBI.2012.03.001