Multiscale analysis of the coupled effects governing the movement of interstitial fluid in cortical bone

A multiscale approach (periodic homogenization) is carried out to model osteon's behaviour, and especially the coupled phenomena that govern its interstitial fluid movement. Actions of electro-osmotic and osmotic motions in addition to the classical Poiseuille flow are studied at the mesoscale of the canaliculus and within the micropores of the collagen-apatite matrix. Use of this fully coupled modelling leads to a comparison of these different effects. Limitation of a classical Darcian description of the fluid flow at the two scales is so studied. For each of these studies a special attention is given to the pore's geometry influence and to their electrical and hydraulic properties.