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Article Dans Une Revue IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control Année : 2008

Application of the Biot model to ultrasound in bone : inverse problem.

Résumé

This paper concerns the ultrasonic characterization of human cancellous bone samples by solving the inverse problem using experimentally measured signals. The inverse problem is solved numerically by the least squares method. Five parameters are inverted: porosity, tortuosity, viscous characteristic length, Young modulus, and Poisson ratio of the skeletal frame. The minimization of the discrepancy between experiment and theory is made in the time domain. The ultrasonic propagation in cancellous bone is modelled using the Biot theory modified by the Johnson-Koplik-Dashen model for viscous exchange between fluid and structure. The sensitivity of the Young modulus and the Poisson ratio of the skeletal frame are studied showing their effect on the fast and slow waveforms. The inverse problem is shown to be well posed, and its solution to be unique. Experimental results for slow and fast waves transmitted through human cancellous bone samples are given and compared with theoretical predictions.

Dates et versions

hal-00326008 , version 1 (01-10-2008)

Identifiants

Citer

Naima Sebaa, Zine El Abiddine E.A. Fellah, Mohamed Fellah, Erick Ogam, Farid G. Mitri, et al.. Application of the Biot model to ultrasound in bone : inverse problem.. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2008, 55 (7), pp.1516-1523. ⟨10.1109/TUFFC.2008.827⟩. ⟨hal-00326008⟩
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