The University of Southampton
University of Southampton Institutional Repository

Empirical angle-dependent Biot and MBA models for acoustic anisotropy in cancellous bone

Empirical angle-dependent Biot and MBA models for acoustic anisotropy in cancellous bone
Empirical angle-dependent Biot and MBA models for acoustic anisotropy in cancellous bone
The Biot and the modified Biot-Attenborough (MBA) models have been found useful to understand ultrasonic wave propagation in cancellous bone. However, neither of the models, as previously applied to cancellous bone, allows for the angular dependence of acoustic properties with direction. The present study aims to account for the acoustic anisotropy in cancellous bone, by introducing empirical angle-dependent input parameters, as defined for a highly oriented structure, into the Biot and the MBA models. The anisotropy of the angle-dependent Biot model is attributed to the variation in the elastic moduli of the skeletal frame with respect to the trabecular alignment. The angle-dependent MBA model employs a simple empirical way of using the parametric fit for the fast and the slow wave speeds. The angle-dependent models were used to predict both the fast and slow wave velocities as a function of propagation angle with respect to the trabecular alignment of cancellous bone. The predictions were compared with those of the Schoenberg model for anisotropy in cancellous bone and in vitro experimental measurements from the literature. The angle-dependent models successfully predicted the angular dependence of phase velocity of the fast wave with direction. The root-mean-square errors of the measured versus predicted fast wave velocities were 79.2 m s(-1) (angle-dependent Biot model) and 36.1 m s(-1) (angle-dependent MBA model). They also predicted the fact that the slow wave is nearly independent of propagation angle for angles about 50 degrees , but consistently underestimated the slow wave velocity with the root-mean-square errors of 187.2 m s(-1) (angle-dependent Biot model) and 240.8 m s(-1) (angle-dependent MBA model). The study indicates that the angle-dependent models reasonably replicate the acoustic anisotropy in cancellous bone
0031-9155
59-73
Lee, Kang I.
06836e07-d20c-436b-bbd8-c2c252486aa2
Hughes, E.R.
faf82790-9af0-41f4-9ac8-156b64fa901c
Humphrey, V.F.
23c9bd0c-7870-428f-b0dd-5ff158d22590
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Choi, Min Joo
d753a10c-4b28-41a4-bdcf-1edaa0ea4f2f
Lee, Kang I.
06836e07-d20c-436b-bbd8-c2c252486aa2
Hughes, E.R.
faf82790-9af0-41f4-9ac8-156b64fa901c
Humphrey, V.F.
23c9bd0c-7870-428f-b0dd-5ff158d22590
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Choi, Min Joo
d753a10c-4b28-41a4-bdcf-1edaa0ea4f2f

Lee, Kang I., Hughes, E.R., Humphrey, V.F., Leighton, T.G. and Choi, Min Joo (2007) Empirical angle-dependent Biot and MBA models for acoustic anisotropy in cancellous bone. Physics in Medicine and Biology, 52 (1), 59-73. (doi:10.1088/0031-9155/52/1/005).

Record type: Article

Abstract

The Biot and the modified Biot-Attenborough (MBA) models have been found useful to understand ultrasonic wave propagation in cancellous bone. However, neither of the models, as previously applied to cancellous bone, allows for the angular dependence of acoustic properties with direction. The present study aims to account for the acoustic anisotropy in cancellous bone, by introducing empirical angle-dependent input parameters, as defined for a highly oriented structure, into the Biot and the MBA models. The anisotropy of the angle-dependent Biot model is attributed to the variation in the elastic moduli of the skeletal frame with respect to the trabecular alignment. The angle-dependent MBA model employs a simple empirical way of using the parametric fit for the fast and the slow wave speeds. The angle-dependent models were used to predict both the fast and slow wave velocities as a function of propagation angle with respect to the trabecular alignment of cancellous bone. The predictions were compared with those of the Schoenberg model for anisotropy in cancellous bone and in vitro experimental measurements from the literature. The angle-dependent models successfully predicted the angular dependence of phase velocity of the fast wave with direction. The root-mean-square errors of the measured versus predicted fast wave velocities were 79.2 m s(-1) (angle-dependent Biot model) and 36.1 m s(-1) (angle-dependent MBA model). They also predicted the fact that the slow wave is nearly independent of propagation angle for angles about 50 degrees , but consistently underestimated the slow wave velocity with the root-mean-square errors of 187.2 m s(-1) (angle-dependent Biot model) and 240.8 m s(-1) (angle-dependent MBA model). The study indicates that the angle-dependent models reasonably replicate the acoustic anisotropy in cancellous bone

Full text not available from this repository.

More information

Published date: 2007

Identifiers

Local EPrints ID: 45655
URI: https://eprints.soton.ac.uk/id/eprint/45655
ISSN: 0031-9155
PURE UUID: f8e7f27a-1986-4adf-9896-903c3e7d3685
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: 16 Apr 2007
Last modified: 14 Mar 2019 01:53

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×