Inverse problems in cancellous bone: Estimation of the ultrasonic properties of fast and slow waves using Bayesian probability theory

Christian C. Anderson, Adam Q. Bauer, Mark R. Holland, Michal Pakula, Pascal Laugier, G. Larry Bretthorst, James G. Miller

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

Quantitative ultrasonic characterization of cancellous bone can be complicated by artifacts introduced by analyzing acquired data consisting of two propagating waves (a fast wave and a slow wave) as if only one wave were present. Recovering the ultrasonic properties of overlapping fast and slow waves could therefore lead to enhancement of bone quality assessment. The current study uses Bayesian probability theory to estimate phase velocity and normalized broadband ultrasonic attenuation (nBUA) parameters in a model of fast and slow wave propagation. Calculations are carried out using Markov chain Monte Carlo with simulated annealing to approximate the marginal posterior probability densities for parameters in the model. The technique is applied to simulated data, to data acquired on two phantoms capable of generating two waves in acquired signals, and to data acquired on a human femur condyle specimen. The models are in good agreement with both the simulated and experimental data, and the values of the estimated ultrasonic parameters fall within expected ranges.

Original languageEnglish
Pages (from-to)2940-2948
Number of pages9
JournalJournal of the Acoustical Society of America
Volume128
Issue number5
DOIs
StatePublished - Nov 2010

Fingerprint Dive into the research topics of 'Inverse problems in cancellous bone: Estimation of the ultrasonic properties of fast and slow waves using Bayesian probability theory'. Together they form a unique fingerprint.

Cite this