Human cortical bone: the SiNuPrOs model. Part II – a multi-scale study of permeability

M. Predoi-Racila, M.C. Stroe and J.M. Crolet

Computer Methods in Biomechanics and Biomedical Engineering, 2010, vol. 13, issue 1, 81-89

Abstract: 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 m2: 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.

Date: 2010
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DOI: 10.1080/10255840903045037

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