ArticleThe Journal of the Acoustical Society of America2018
Analytical solution for converging elliptic shear wave in a bounded transverse isotropic viscoelastic material with nonhomogeneous outer boundary.
Article in The Journal of the Acoustical Society of America, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed, 21 citations in OpenAlex.
- Quantifying uniaxial prestress and waveguide effects on dynamic elastography estimates for a cylindrical rod.The Journal of the Acoustical Society of America · 2023Article
- Mechanical stiffness and anisotropy measured by MRE during brain development in the minipig.NeuroImage · 2023Article
- Decoupling Uniaxial Tensile Prestress and Waveguide Effects From Estimates of the Complex Shear Modulus in a Cylindrical Structure Using Transverse-Polarized Dynamic Elastography.Journal of engineering and science in medical diagnostics and therapy · 2023Article
- Biaxial Tensile Prestress and Waveguide Effects on Estimates of the Complex Shear Modulus Using Optical-Based Dynamic Elastography in Plate-Like Soft Tissue Phantoms.Journal of engineering and science in medical diagnostics and therapy · 2023Article
- Mapping heterogenous anisotropic tissue mechanical properties with transverse isotropic nonlinear inversion MR elastography.Medical image analysis · 2022Article
- Numerical simulation of wave propagation through interfaces using the extended finite element method for magnetic resonance elastography.The Journal of the Acoustical Society of America · 2022Article
- The combined importance of finite dimensions, anisotropy, and pre-stress in acoustoelastography.The Journal of the Acoustical Society of America · 2022Review
- Axially- and torsionally-polarized radially converging shear wave MRE in an anisotropic phantom made via Embedded Direct Ink Writing.Journal of the mechanical behavior of biomedical materials · 2021Article
- Analytical solution based on spatial distortion for a time-harmonic Green's function in a transverse isotropic viscoelastic solid.The Journal of the Acoustical Society of America · 2021Article
- A heterogenous, time harmonic, nearly incompressible transverse isotropic finite element brain simulation platform for MR elastography.Physics in medicine and biology · 2021Article
- Shear wave speeds in nearly-incompressible fibrous materials with two fiber families.The Journal of the Acoustical Society of America · 2021Article
- Converging super-elliptic torsional shear waves in a bounded transverse isotropic viscoelastic material with nonhomogeneous outer boundary.The Journal of the Acoustical Society of America · 2019Article
- Analytical solution for diverging elliptic shear wave in bounded and unbounded transverse isotropic viscoelastic material with nonhomogeneous inner boundary.The Journal of the Acoustical Society of America · 2019Article
- Micro Air-Pulse Spatial Deformation Spreading Characterizes Degree of Anisotropy in Tissues.IEEE journal of selected topics in quantum electronics : a publication of the IEEE Lasers and Electro-optics SocietyArticle
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
Dynamic elastography methods-based on optical, ultrasonic, or magnetic resonance imaging-are being developed for quantitatively mapping the shear viscoelastic properties of biological tissues, which are often altered by disease and injury. These diagnostic imaging methods involve analysis of shear wave motion in order to estimate or reconstruct the tissue's shear viscoelastic properties. Most reconstruction methods to date have assumed isotropic tissue properties. However, application to tissues like skeletal muscle and brain white matter with aligned fibrous structure resulting in local transverse isotropic mechanical properties would benefit from analysis that takes into consideration anisotropy. A theoretical approach is developed for the elliptic shear wave pattern observed in transverse isotropic materials subjected to axisymmetric excitation creating radially converging shear waves normal to the fiber axis. This approach, utilizing Mathieu functions, is enabled via a transformation to an elliptic coordinate system with isotropic properties and a ratio of minor and major axes matching the ratio of shear wavelengths perpendicular and parallel to the plane of isotropy in the transverse isotropic material. The approach is validated via numerical finite element analysis case studies. This strategy of coordinate transformation to equivalent isotropic systems could aid in analysis of other anisotropic tissue structures.
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