Estimation of material parameters from slow and fast shear waves in an incompressible, transversely isotropic material

This paper describes a method to estimate mechanical properties of soft, anisotropic materials from measurements of shear waves with specific polarization and propagation directions. This method is applicable to data from magnetic resonance elastography (MRE), which is a method for measuring shear w...

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Vydáno v:Journal of biomechanics Ročník 48; číslo 15; s. 4002 - 4009
Hlavní autoři: Tweten, Dennis J., Okamoto, Ruth J., Schmidt, John L., Garbow, Joel R., Bayly, Philip V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States Elsevier Ltd 26.11.2015
Elsevier Limited
Témata:
Accuracy
Anisotropy
Elasticity Imaging Techniques
Estimates
Filtering
Finite Element Analysis
Finite element method
Humans
Inversion algorithms
Mathematical analysis
Mathematical models
Models, Theoretical
MR elastography
Physical Medicine and Rehabilitation
Reproducibility of Results
Shear
Shear waves
Sound waves
Studies
Transversely isotropic material
Viscoelasticity
Wave propagation
Shear waves
MR elastography
Inversion algorithms
Anisotropy
Transversely isotropic material
ISSN:0021-9290, 1873-2380, 1873-2380
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Popis
Shrnutí:This paper describes a method to estimate mechanical properties of soft, anisotropic materials from measurements of shear waves with specific polarization and propagation directions. This method is applicable to data from magnetic resonance elastography (MRE), which is a method for measuring shear waves in live subjects or in vitro samples. Here, we simulate MRE data using finite element analysis. A nearly incompressible, transversely isotropic (ITI) material model with three parameters (shear modulus, shear anisotropy, and tensile anisotropy) is used, which is appropriate for many fibrous, biological tissues. Both slow and fast shear waves travel concurrently through such a material with speeds that depend on the propagation direction relative to fiber orientation. A three-parameter estimation approach based on directional filtering and isolation of slow and fast shear wave components (directional filter inversion, or DFI) is introduced. Wave speeds of each isolated shear wave component are estimated using local frequency estimation (LFE), and material properties are calculated using weighted least squares. Data from multiple finite element simulations are used to assess the accuracy and reliability of DFI for estimation of anisotropic material parameters.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0021-9290
1873-2380
1873-2380
DOI:10.1016/j.jbiomech.2015.09.009