Human cortical bone: the SiNuPrOs model. Part II--a multi-scale study of permeability.
Cortical bone is more and more considered as a porous medium and this induces the necessity of the determination of the physical properties associated with such a concept: the porosity and the permeability. If porosity does not present a major problem, at least for the order of magnitude, there is a difficulty for the permeability. According to experimental sources, values vary between 10(- 13) and 10(- 23) m(2): it seems obvious that the same entities have not been measured. This article proposes a new vision of the permeability based on a concept of multi-scale medium corresponding to the scales already introduced in the SiNuPrOs model which has been developed for cortical bone. According to this model, several architectural levels are proposed and a mathematical development based on the homogenisation theory, which can be applied to each of these levels, allows a numerical computation of the permeability tensor coefficients. A comparative analysis of our simulations and some experimental results (already published) shows a good accordance with the literature.
Predoi-Racila
M
M
Department of Applied Mathematics, University of Craiova, Craiova, Romania.
Stroe
M C
MC
Crolet
J M
JM
D001696:Biomechanical Phenomena; D001826:Body Fluids / Q000502:physiology; D001842:Bone and Bones / Q000033:anatomy & histology* / Q000502:physiology*; D003198:Computer Simulation; D006253:Haversian System / Q000033:anatomy & histology / Q000502:physiology; D006801:Humans; D008953:Models, Anatomic; D008954:Models, Biological; D010539:Permeability