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Article Dans Une Revue Physics in Medicine and Biology Année : 2005

Three-dimensional simulation of ultrasound propagation through trabecular bone structures measured by synchrotron microtomography.

Résumé

Three-dimensional numerical simulations of ultrasound transmission were performed through 31 trabecular bone samples measured by synchrotron microtomography. The synchrotron microtomography provided high resolution 3D mappings of bone structures, which were used as the input geometry in the simulation software developed in our laboratory. While absorption (i.e. the absorption of ultrasound through dissipative mechanisms) was not taken into account in the algorithm, the simulations reproduced major phenomena observed in real through-transmission experiments in trabecular bone. The simulated attenuation (i.e. the decrease of the transmitted ultrasonic energy) varies linearly with frequency in the MHz frequency range. Both the speed of sound (SOS) and the slope of the normalized frequency-dependent attenuation (nBUA) increase with the bone volume fraction. Twenty-five out of the thirty-one samples exhibited negative velocity dispersion. One sample was rotated to align the main orientation of the trabecular structure with the direction of ultrasonic propagation, leading to the observation of a fast and a slow wave. Coupling numerical simulation with real bone architecture therefore provides a powerful tool to investigate the physics of ultrasound propagation in trabecular structures. As an illustration, comparison between results obtained on bone modelled either as a fluid or a solid structure suggested the major role of mode conversion of the incident acoustic wave to shear waves in bone to explain the large contribution of scattering to the overall attenuation.

Domaines

Imagerie

Dates et versions

hal-00109658 , version 1 (25-10-2006)

Identifiants

Citer

Emmanuel Bossy, Frédéric Padilla, Françoise Peyrin, Pascal Laugier. Three-dimensional simulation of ultrasound propagation through trabecular bone structures measured by synchrotron microtomography.. Physics in Medicine and Biology, 2005, 50 (23), pp.5545-56. ⟨10.1088/0031-9155/50/23/009⟩. ⟨hal-00109658⟩
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