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Home / Equine Research Bank / J Acoust Soc Am / Conventional, Bayesian, and Modified Prony’s methods f...
The Journal of the Acoustical Society of America2015; 138(2); 594-604; doi: 10.1121/1.4923366

Conventional, Bayesian, and Modified Prony’s methods for characterizing fast and slow waves in equine cancellous bone.

Abstract: 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.
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Publication Date: 2015-09-04 PubMed ID: 26328678PubMed Central: PMC4529434DOI: 10.1121/1.4923366Google Scholar: Lookup
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  • Comparative Study
  • Journal Article
  • Research Support
  • N.I.H.
  • Extramural
  • Research Support
  • Non-U.S. Gov't

Summary

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The research investigates the performance of three different methods: conventional, Bayesian, and a combination of modified least-squares Prony’s plus curve-fitting, in analyzing the properties of fast and slow waveforms in horse bone samples. The results suggest that the Bayesian and the mixed method are superior in processing samples of more varied thicknesses and in dealing with overlapping waves compared to the conventional method.

Research experiment and application of three methods

  • The experiment was conducted using a single horse bone sample that was methodically reduced in thickness from 11.8 mm to 0.5 mm for a total of 24 differing sample sizes.
  • Broadband assessments were performed on these samples using a transducer with a 1 MHz center frequency.
  • The conventional method of analysis was only capable of analyzing data from bone sample thicknesses that ranged from 11.8 mm to 6.0 mm, due to overlapping fast and slow waveforms.
  • Both the Bayesian method and the modified least squares Prony’s plus curve-fitting approach were not hindered by this restriction and could cope with sample thicknesses from 11.8 mm to 3.5 mm.

Outcome of comparison

  • Comparisons were made for the phase velocity at the central frequency and for the gradient of the attenuation coefficient, both for the fast and slow wave types.
  • There was comparative agreement among the three methods for average signal loss at the central frequency.
  • The Bayesian and modified least squares Prony’s plus curve-fitting techniques showed superiority in separating the fast and slow waveforms and provided good estimates of the waveform attributes even when the two types of waves overlapped in both domains of time and frequency.

Implications of findings

  • The research suggests that the Bayesian and modified least squares Prony’s plus curve-fitting techniques are more versatile and reliable in this context. They can process diverse sample thicknesses and successfully separate and evaluate overlapping waveforms.
  • This is significant in providing valuable insights into the ultrasonic properties of the bone, which could greatly enhance our understanding and facilitate the design of advanced, reliable and efficient diagnostic and treatment methods in veterinary and human medicine.

Cite This Article

APA
Groopman AM, Katz JI, Holland MR, Fujita F, Matsukawa M, Mizuno K, Wear KA, Miller JG. (2015). Conventional, Bayesian, and Modified Prony’s methods for characterizing fast and slow waves in equine cancellous bone. J Acoust Soc Am, 138(2), 594-604. https://doi.org/10.1121/1.4923366

Publication

The Journal of the Acoustical Society of America
ISSN: 1520-8524
NlmUniqueID: 7503051
Country: United States
Language: English
Volume: 138
Issue: 2
Pages: 594-604

Researcher Affiliations

Groopman, Amber M
  • Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA.
Katz, Jonathan I
  • Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA.
Holland, Mark R
  • Department of Radiology and Imaging Sciences, Indiana University-Purdue University School of Medicine, Indianapolis, Indiana 46202, USA.
Fujita, Fuminori
  • Laboratory of Ultrasonic Electronics, Research Center for Wave Electronics, Doshisha University, Kyotanabe, 610-0321 Kyoto, Japan.
Matsukawa, Mami
  • Laboratory of Ultrasonic Electronics, Research Center for Wave Electronics, Doshisha University, Kyotanabe, 610-0321 Kyoto, Japan.
Mizuno, Katsunori
  • Underwater Technology Research Center, The University of Tokyo, Meguro-ku, Tokyo 153-8505, Japan.
Wear, Keith A
  • Center for Devices and Radiological Health, Food and Drug Administration, Silver Spring, Maryland 20993, USA.
Miller, James G
  • Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA.

MeSH Terms

  • Acoustics
  • Algorithms
  • Animals
  • Bayes Theorem
  • Bone Conduction / physiology
  • Horses / anatomy & histology
  • Horses / physiology
  • Least-Squares Analysis
  • Porosity
  • Radio Waves
  • Radius / ultrastructure
  • Sound
  • Ultrasonics

Grant Funding

  • R01 AR057433 / NIAMS NIH HHS
  • R01 HL040302 / NHLBI NIH HHS

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Citations

This article has been cited 3 times.
  1. Wear K. Scattering in Cancellous Bone.. Adv Exp Med Biol 2022;1364:163-175.
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    doi: 10.1007/978-3-030-91979-5_6pubmed: 35508873google scholar: lookup
  3. Wear KA. Mechanisms of Interaction of Ultrasound With Cancellous Bone: A Review.. IEEE Trans Ultrason Ferroelectr Freq Control 2020 Mar;67(3):454-482.
    doi: 10.1109/TUFFC.2019.2947755pubmed: 31634127google scholar: lookup
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