Three-scale multiphysics modeling of transport phenomena within cortical bone
type: Item
instance of: scholarly article
title: Three-scale multiphysics modeling of transport phenomena within cortical bone
zbMATH Open document ID: 1394.92029
DOI: 10.1155/2015/398970
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Bone tissue can adapt its properties and geometry to its physical environment. This ability is a key point in 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 are derived from the nanoscale of the canaliculi toward the cortical tissue, considering the intermediate scale of the intraosteonal tissue. In particular, the Onsager reciprocity relations that govern the coupled transport are checked.
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 92C05
zbMATH DE Number: 6926268
zbMATH Keywords: cortical bone
zbMATH Keywords: Haversian-Volkmann canals
zbMATH Keywords: lacunocanalicular network
Wikidata QID: Q59118477
author: Thibault Lemaire
author: Joanna Kaiser
author: Salah Naili
author: Vittorio Sansalone
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/398970
OpenAlex ID: W1962271445
cites work: Fluid and Solute Transport in Bone: Flow-Induced Mechanotransduction
cites work: A multiscale theoretical investigation of electric measurements in living bone
cites work: Hierarchical poroelasticity: movement of interstitial fluid between porosity levels in bones
cites work: Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients
cites work: Do calcium fluxes within cortical bone affect osteocyte mechanosensitivity?
cites work: Modelling of the transport in electrically charged porous media including ionic exchanges
cites work: Multiphysical modelling of fluid transport through osteo-articular media
cites work: Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure
cites work: Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem
cites work: Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
cites work: Hierarchical model for strain generalized streaming potential induced by the canalicular fluid flow of an osteon
description: scientific article; zbMATH DE number 6926268