Inverse problems in cancellous bone: estimation of the ultrasonic properties of fast and slow waves using Bayesian probability theory.
Inverse problems in cancellous bone: estimation of the ultrasonic properties of fast and slow waves using Bayesian probability theory.
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DOI：
10.1121/1.3493441
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发表时间：
2010-11
期刊：
影响因子：
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通讯作者：
C. C. Anderson-C.;A. Bauer;M. Holland;M. Pakula;P. Laugier;G. Bretthorst;James G. Miller
中科院分区：
文献类型：
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作者：
C. C. Anderson-C.;A. Bauer;M. Holland;M. Pakula;P. Laugier;G. Bretthorst;James G. Miller
通过分析由两个传播波（快波和慢波）组成的采集数据（就好像只有一个波存在）引入的伪影，可能会使松质骨的定量超声表征复杂化。因此，恢复重叠的快波和慢波的超声特性可能会导致骨质量评估的增强。目前的研究使用贝叶斯概率理论来估计相速度和归一化宽带超声衰减（nBUA）参数的模型中的快，慢波传播。使用马尔可夫链蒙特卡罗模拟退火进行计算，以近似模型中参数的边缘后验概率密度。该技术适用于模拟数据，能够产生两个波在采集信号的两个幻影上采集的数据，并在人体股骨髁标本上采集的数据。该模型与模拟和实验数据吻合良好，估计的超声参数值落在预期范围内。
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.