Abstract
Of interest is the characterization of a cancellous bone immersed in an acoustic fluid. The bone is placed between an ultrasonic point source and a receiver. Cancellous bone is regarded as a porous medium saturated with fluid according to Biot’s theory. This model is coupled with the fluid in an open pore configuration and solved by means of the Finite Volume Method. Characterization is posed as a Bayesian parameter estimation problem in Biot’s model given pressure data collected at the receiver. As a first step we present numerical results in 2D for signal recovery. It is shown that as point estimators, the Conditional Mean outperforms the classical PDE-constrained minimization solution.
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Acknowledgments
M. A. Moreles would like to acknowledge to ECOS-NORD project number 000000000263116/M15M01 for financial support during this research. Also, part of this research was carried out while M. A. Moreles was a visiting professor at the mathematics Department of the Universidad de Guadalajara. Their hospitality is greatly appreciated.
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Moreles, M.A., Peña, J., Neria, J.A. (2019). Biot’s Parameters Estimation in Ultrasound Propagation Through Cancellous Bone. In: Trujillo, L., Schütze, O., Maldonado, Y., Valle, P. (eds) Numerical and Evolutionary Optimization – NEO 2017. NEO 2017. Studies in Computational Intelligence, vol 785. Springer, Cham. https://doi.org/10.1007/978-3-319-96104-0_11
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