Conventional, Bayesian, and Modified Prony's methods for characterizing fast and slow waves in equine cancellous bone.
Conventional, Bayesian, and the modified least-squares Prony's plus curve-fitting (MLSP + CF) methods were applied to data acquired using 1 MHz center frequency, broadband transducers on a single equine cancellous bone specimen that was systematically shortened from 11.8 mm down to 0.5 mm for a total of 24 sample thicknesses. Due to overlapping fast and slow waves, conventional analysis methods were restricted to data from sample thicknesses ranging from 11.8 mm to 6.0 mm. In contrast, Bayesian and MLSP + CF methods successfully separated fast and slow waves and provided reliable estimates of the ultrasonic properties of fast and slow waves for sample thicknesses ranging from 11.8 mm down to 3.5 mm. Comparisons of the three methods were carried out for phase velocity at the center frequency and the slope of the attenuation coefficient for the fast and slow waves. Good agreement among the three methods was also observed for average signal loss at the center frequency. The Bayesian and MLSP + CF approaches were able to separate the fast and slow waves and provide good estimates of the fast and slow wave properties even when the two wave modes overlapped in both time and frequency domains making conventional analysis methods unreliable.
Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA.
Amber M
AM
Groopman
Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA.
Jonathan I
JI
Katz
Department of Radiology and Imaging Sciences, Indiana University-Purdue University School of Medicine, Indianapolis, Indiana 46202, USA.
Mark R
MR
Holland
Laboratory of Ultrasonic Electronics, Research Center for Wave Electronics, Doshisha University, Kyotanabe, 610-0321 Kyoto, Japan.
Fuminori
F
Fujita
Laboratory of Ultrasonic Electronics, Research Center for Wave Electronics, Doshisha University, Kyotanabe, 610-0321 Kyoto, Japan.
Mami
M
Matsukawa
Underwater Technology Research Center, The University of Tokyo, Meguro-ku, Tokyo 153-8505, Japan.
Katsunori
K
Mizuno
Center for Devices and Radiological Health, Food and Drug Administration, Silver Spring, Maryland 20993, USA.
Keith A
KA
Wear
Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA.
James G
JG
Miller
D000162:Acoustics; D000465:Algorithms; D000818:Animals; D001499:Bayes Theorem; D001844:Bone Conduction / Q000502:physiology*; D006736:Horses / Q000033:anatomy & histology / Q000502:physiology*; D016018:Least-Squares Analysis; D016062:Porosity; D011846:Radio Waves; D011884:Radius / Q000648:ultrastructure; D013016:Sound; D014465:Ultrasonics