Magnetic resonance elastography (MRE) is an imaging modality with which mechanical properties can be noninvasively measured in living tissue. Magnetic resonance elastography relies on the fact that the elastic shear modulus determines the phase velocity and, hence the wavelength, of shear waves which are visualized by motion-sensitive MR imaging. Local frequency estimation (LFE) has been used to extract the local wavenumber from displacement wave fields recorded by MRE. LFE -based inversion is attractive because it allows material parameters to be estimated without explicitly invoking the equations governing wave propagation, thus obviating the need to numerically compute the Laplacian. Nevertheless, studies using LFE have not explicitly addressed three important issues: (1) tissue viscoelasticity; (2) the effects of longitudinal waves and rigid body motion on estimates of shear modulus; and (3) mechanical anisotropy. In the current study we extend the LFE technique to (1) estimate the (complex) viscoelastic shear modulus in lossy media; (2) eliminate the effects of longitudinal waves and rigid body motion; and (3) determine two distinct shear moduli in anisotropic media. The extended LFE approach is demonstrated by analyzing experimental data from a previously-characterized, isotropic, viscoelastic, gelatin phantom and simulated data from a computer model of anisotropic (transversely isotropic) soft material.
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February 2013
Research-Article
Mechanical Properties of Viscoelastic Media by Local Frequency Estimation of Divergence-Free Wave Fields
Erik H. Clayton,
Erik H. Clayton
1
e-mail: clayton@wustl.edu
1Corresponding author.
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Ruth J. Okamoto,
Ruth J. Okamoto
Department of Mechanical Engineering and Materials Science,
Washington University in St. Louis
,One Brookings Drive
,Campus Box 1185
,Saint Louis, MO 63130
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Philip V. Bayly
Philip V. Bayly
Department of Mechanical Engineering and Materials Science,
Department of Biomedical Engineering,
Washington University in St. Louis
,One Brookings Drive
,Campus Box 1185
,Saint Louis, MO 63130
;Department of Biomedical Engineering,
Washington University in St. Louis
,One Brookings Drive
,Campus Box 1185
,Saint Louis, MO 63130
Search for other works by this author on:
Erik H. Clayton
e-mail: clayton@wustl.edu
Ruth J. Okamoto
Department of Mechanical Engineering and Materials Science,
Washington University in St. Louis
,One Brookings Drive
,Campus Box 1185
,Saint Louis, MO 63130
Philip V. Bayly
Department of Mechanical Engineering and Materials Science,
Department of Biomedical Engineering,
Washington University in St. Louis
,One Brookings Drive
,Campus Box 1185
,Saint Louis, MO 63130
;Department of Biomedical Engineering,
Washington University in St. Louis
,One Brookings Drive
,Campus Box 1185
,Saint Louis, MO 63130
1Corresponding author.
Contributed by the Bioengineering Division of ASME for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received October 1, 2012; final manuscript received January 14, 2013; accepted manuscript posted January 18, 2013; published online February 7, 2013. Editor: Victor H. Barocas.
J Biomech Eng. Feb 2013, 135(2): 021025 (6 pages)
Published Online: February 7, 2013
Article history
Received:
October 1, 2012
Revision Received:
January 14, 2013
Accepted:
January 18, 2013
Citation
Clayton, E. H., Okamoto, R. J., and Bayly, P. V. (February 7, 2013). "Mechanical Properties of Viscoelastic Media by Local Frequency Estimation of Divergence-Free Wave Fields." ASME. J Biomech Eng. February 2013; 135(2): 021025. https://doi.org/10.1115/1.4023433
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