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

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), pp. 323-330. (doi:10.1016/j.ultras.2007.01.012).

Record type: Article


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


Local EPrints ID: 49626
ISSN: 0041-624X
PURE UUID: 08976fe1-4d6a-49db-b4c9-f94f20f40633
ORCID for V.F. Humphrey: ORCID iD
ORCID for T.G. Leighton: ORCID iD

Catalogue record

Date deposited: 23 Nov 2007
Last modified: 17 Jul 2017 14:55

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