Computational Modelling of Bone Pathologies

The research objective is twofold: a) computational modelling of ultrasonic propagation in healing and osteoporotic long bones to monitor the evolution of osteoporosis and fracture healing, b) the development of a biomechanical methodology for the description of the bone-implant relation, which is able to explain the etiology of possible failures due to the aseptic loosening of the implant. Imaging modalities from Computed Tomography and Scanning Acoustic Microscopy are incorporated to provide realistic computational models of bone, callus and porosity scenarios representing the nonhomogeneous nature of the osseous tissues. The main estimated parameters are the first arriving signal velocity, guided waves and the scattering amplitude. Current research in the domain of fracture healing involves the numerical modelling of partial differential equations which describe the spatiotemporal evolution cells, growth factors, tissues and ultrasound acoustic pressure as well as velocity equations of endothelial tip cells which determine the development of the blood vessel network. Also, in spite of the high development of the biomaterials science, post-operative complications are reported which are mainly based on the aseptic loosening of the implant. Therefore, simulations of human daily activities are performed aiming at the development of a biomechanical methodology for the description of the bone-implant relation.

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