Modelling Young's modulus for porous bones with microstructural variation and anisotropy.

A structural model with three compositional phases and two levels of hierarchical organization is proposed for predicting Young's modulus of porous bones with microstructural variations and anisotropy based on their geometric similarity to metal foams. It has been shown that the proposed single model provides predictions of Young's modulus with high accuracy up to +/-30% for cortical and cancellous bones compared with measured data from the literature. In addition, the conversion of the solid bone shape from "Plate-like" to "Rod-like" at a porosity of 70% or higher (BV/TV 30% or lower)-verified by observations-can be predicted using the proposed model.