Multiphysics modelling of transport phenomena within cortical bone treated as a biporous material
Résumé
Interstitial fluid and ionic transport taking place in the fluid compartments of bone are thought to play a major role in bone mechanotransduction. In this study, we present a three-scale model of the multiphysical transport phenomena taking place within the vasculature porosity and the lacuno-canalicular network of cortical bone. These two fluid porosity levels exchange mass and ions through the permeable outer wall of the Haversian-Volkmann channels. Thus, coupled equations of electro-chemo-hydraulic transport are derived from the nanoscale of the canaliculi toward the cortical tissue, considering the intermediate scale of the intra-osteonal tissue. In particular, the Onsager reciprocity laws that govern the coupled transport are checked.
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