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Predictions of the modified Biot-Attenborough model for the dependence of phase velocity on porosity in cancellous bone

Predictions of the modified Biot-Attenborough model for the dependence of phase velocity on porosity in cancellous bone
Predictions of the modified Biot-Attenborough model for the dependence of phase velocity on porosity in cancellous bone
The modified Biot–Attenborough (MBA) model for acoustic wave propagation in porous media has been found useful to predict wave properties in cancellous bone. The present study is aimed at applying the MBA model to predict the dependence of phase velocity on porosity in cancellous bone. The MBA model predicts a phase velocity that decreases nonlinearly with porosity. The optimum values for input parameters of the MBA model, such as compressional speed cm of solid bone and phase velocity parameter s2, were determined by comparing the predictions with previously published measurements in human calcaneus and bovine cancellous bone. The value of the phase velocity parameter s2 = 1.23 was obtained by curve fitting to the experimental data for 53 human calcaneus samples only, assuming a compressional speed cm = 2500 m/s of solid bone. The root-mean-square error (RMSE) of the curve fit was 15.3 m/s. The optimized value of s2 for all 75 cancellous bone samples including 22 bovine samples was 1.42 with a value of 55 m/s for the RMSE of the curve fit. The latter fit was obtained by using of a value of cm = 3200 m/s. Although the MBA model relies on the empirical parameters determined from experimental data, it is expected that the model can be usefully employed as a practical tool in the field of clinical ultrasonic bone assessment.
osteoporosis, cancellous bone, phase velocity, porosity, biot’s theory, modified biot–attenborough model
0041-624X
323-330
Lee, K.I.
847340ea-904b-4d3a-be90-99b9b2d24986
Humphrey, V.F.
23c9bd0c-7870-428f-b0dd-5ff158d22590
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Yoon, S.W.
090362ea-5629-4090-aa97-061380a1cf9b
Lee, K.I.
847340ea-904b-4d3a-be90-99b9b2d24986
Humphrey, V.F.
23c9bd0c-7870-428f-b0dd-5ff158d22590
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Yoon, S.W.
090362ea-5629-4090-aa97-061380a1cf9b

Lee, K.I., Humphrey, V.F., Leighton, T.G. and Yoon, S.W. (2007) Predictions of the modified Biot-Attenborough model for the dependence of phase velocity on porosity in cancellous bone. Ultrasonics, 46 (4), 323-330. (doi:10.1016/j.ultras.2007.01.012).

Record type: Article

Abstract

The modified Biot–Attenborough (MBA) model for acoustic wave propagation in porous media has been found useful to predict wave properties in cancellous bone. The present study is aimed at applying the MBA model to predict the dependence of phase velocity on porosity in cancellous bone. The MBA model predicts a phase velocity that decreases nonlinearly with porosity. The optimum values for input parameters of the MBA model, such as compressional speed cm of solid bone and phase velocity parameter s2, were determined by comparing the predictions with previously published measurements in human calcaneus and bovine cancellous bone. The value of the phase velocity parameter s2 = 1.23 was obtained by curve fitting to the experimental data for 53 human calcaneus samples only, assuming a compressional speed cm = 2500 m/s of solid bone. The root-mean-square error (RMSE) of the curve fit was 15.3 m/s. The optimized value of s2 for all 75 cancellous bone samples including 22 bovine samples was 1.42 with a value of 55 m/s for the RMSE of the curve fit. The latter fit was obtained by using of a value of cm = 3200 m/s. Although the MBA model relies on the empirical parameters determined from experimental data, it is expected that the model can be usefully employed as a practical tool in the field of clinical ultrasonic bone assessment.

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More information

Published date: November 2007
Keywords: osteoporosis, cancellous bone, phase velocity, porosity, biot’s theory, modified biot–attenborough model

Identifiers

Local EPrints ID: 49626
URI: https://eprints.soton.ac.uk/id/eprint/49626
ISSN: 0041-624X
PURE UUID: 08976fe1-4d6a-49db-b4c9-f94f20f40633
ORCID for V.F. Humphrey: ORCID iD orcid.org/0000-0002-3580-5373
ORCID for T.G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750

Catalogue record

Date deposited: 23 Nov 2007
Last modified: 14 Mar 2019 01:53

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Contributors

Author: K.I. Lee
Author: V.F. Humphrey ORCID iD
Author: T.G. Leighton ORCID iD
Author: S.W. Yoon

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