TY - JOUR
T1 - Inverse problems in cancellous bone
T2 - Estimation of the ultrasonic properties of fast and slow waves using Bayesian probability theory
AU - Anderson, Christian C.
AU - Bauer, Adam Q.
AU - Holland, Mark R.
AU - Pakula, Michal
AU - Laugier, Pascal
AU - Bretthorst, G. Larry
AU - Miller, James G.
N1 - Funding Information:
This study was supported by NIH Grant No. R01-AR057433.
PY - 2010/11
Y1 - 2010/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=78649601855&partnerID=8YFLogxK
U2 - 10.1121/1.3493441
DO - 10.1121/1.3493441
M3 - Article
C2 - 21110589
AN - SCOPUS:78649601855
SN - 0001-4966
VL - 128
SP - 2940
EP - 2948
JO - Journal of the Acoustical Society of America
JF - Journal of the Acoustical Society of America
IS - 5
ER -