The Journal of the Acoustical Society of America, Vol. 121, No. 1, pp. EL8–EL15, January 2007
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Bayesian estimation of the underlying bone properties from mixed fast and slow mode ultrasonic signals
Karen R. Marutyan
Department of Physics, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130
G. Larry Bretthorst
Department of Radiology, Washington University, One Brookings Drive, St. Louis, Missouri 63130
James G. Miller
Department of Physics, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130
(Received: 21 September 2006; revised: 17 October 2006; accepted: 20 October 2006; published online: 8 December 2006)We recently proposed that the observed apparent negative dispersion in bone can arise from the interference between fast wave and slow wave modes, each exhibiting positive dispersion [Marutyan et al., J. Acoust. Soc. Am. 120, EL55–EL61 (2006)]. In the current study, we applied Bayesian probability theory to solve the inverse problem: extracting the underlying properties of bone. Simulated mixed mode signals were analyzed using Bayesian probability. The calculations were implemented using the Markov chain Monte Carlo with simulated annealing to draw samples from the marginal posterior probability for each parameter. ©2007 Acoustical Society of America
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