Computational modeling of ultrasonic backscattering to evaluate fracture healing

Fracture healing is a complex, regenerative procedure including several phases of recovery as the original mechanical and geometrical features of bone are gradually restored. Ultrasonic evaluation of bone pathologies such as osteoporosis and fracture healing has recently gained significant interest due to the non-invasive and non-radiating nature of the method. In this study, we present numerical simulations of ultrasonic backscattering in simple, two dimensional geometries of healing long bones to investigate the monitoring capacity of the acoustic pressure in the backward direction. The fracture process was modeled as a 7-stage procedure and the results were compared to the acoustic pressure derived for the case of intact bone. A 100 kHz plane wave was used as the excitation frequency and multiple receivers were placed at a distance of 20 mm from the cortical cortex. It was found that the acoustic pressure profile is gradually restored at the final healing stages approaching the values of intact bone.