Abstract

Bone changes its microstructure according to the mechanical environment. Osteocytes will regulate the activity of osteoblasts and osteoclasts for bone microstructure change. In cortical bone, physiological substances necessary for maintaining the activity of these bone cells are mainly supplied from the blood vessel passing through porous canals. Therefore, the transport analysis of physiological substances is very important for a better understanding of microstructural change of cortical bone. In this study, we modeled transport phenomenon of physiological substances in cortical bone by considering the transport through Haversian and Volkman's canals and the transport through bone canaliculi. For the former, formulated was the one-dimensional advection and diffusion equation at canal network. For the latter, formulated was the three-dimensional diffusion equation at continuum with equivalent diffusivity as bone matrix inhering bone canaliculi. Result showed that the transport of physiological substances in cortical bone was mainly influenced by the canal density and connectivity.

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