A Kramers–Kronig-based quality factor for shear wave propagation in soft tissue

Urban, Matthew W.; Greenleaf, Jennifer

doi:10.1088/0031-9155/54/19/017

Cited by 43 publications

(34 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Ultrasound shear wave elastography has been used to investigate the shear wave propagation in some of these anisotropic tissues. One consistent finding that has been reported is that a higher shear wave speed is observed when the wave propagates along the fibers in comparison to across the fibers or tissue structures, indicating a higher shear modulus along that parallel direction [8]. …”

Section: Background and Motivationsupporting

confidence: 54%

“…In particular, many tissues such as kidneys [3] and skeletal muscles [7, 8] have been modeled as transversely isotropic. Ultrasound shear wave elastography has been used to investigate the shear wave propagation in some of these anisotropic tissues.…”

Section: Background and Motivationmentioning

confidence: 99%

“…Table 1 lists the reported shear elasticities and viscosities measured along ( μ ∥ 1 and μ ∥ 2 ) and across ( μ ⊥ and μ ⊥ 2 ) the muscle fibers from 6 selected reports. Among these studies, [12], [8], [20], [21] measured both shear wave elasticity and viscosity while [7] and [22] only considered an elastic model. They show that both the shear wave speed and the shear wave attenuation in muscles are transversely isotropic.…”

Section: Background and Motivationmentioning

confidence: 99%

See 2 more Smart Citations

Modeling transversely isotropic, viscoelastic, incompressible tissue-like materials with application in ultrasound shear wave elastography

et al. 2015

View full text Add to dashboard Cite

In this paper, we propose a method to model the shear wave propagation in transversely isotropic, viscoelastic and incompressible media. The targeted application is ultrasound-based shear wave elastography for viscoelasticity measurements in anisotropic tissues such as the kidney and skeletal muscles. The proposed model predicts that if the viscoelastic parameters both across and along fiber directions can be characterized as a Voigt material, then the spatial phase velocity at any angle is also governed by a Voigt material model. Further, with the aid of Taylor expansions, it is shown that the spatial group velocity at any angle is close to a Voigt type for weakly attenuative materials within a certain bandwidth. The model is implemented in a finite element code by a time domain explicit integration scheme and shear wave simulations are conducted. The results of the simulations are analyzed to extract the shear wave elasticity and viscosity for both the spatial phase and group velocities. The estimated values match well with theoretical predictions. The proposed theory is further verified by an ex vivo tissue experiment measured in a porcine skeletal muscle by an ultrasound shear wave elastography method. The applicability of the Taylor expansion to analyze the spatial velocities is also discussed. We demonstrate that the approximations from the Taylor expansions are subject to errors when the viscosities across or along the fiber directions are large or the maximum frequency considered is beyond the bandwidth defined by radii of convergence of the Taylor expansions.

show abstract

Section: Background and Motivationsupporting

confidence: 54%

Section: Background and Motivationmentioning

confidence: 99%

Section: Background and Motivationmentioning

confidence: 99%

See 1 more Smart Citation

Modeling transversely isotropic, viscoelastic, incompressible tissue-like materials with application in ultrasound shear wave elastography

et al. 2015

View full text Add to dashboard Cite

show abstract

“…The attenuation coefficient was approximately 0.8 Np/cm, which is within the range of previously published data for gelatin phantoms [37]. This was done for all four phantoms.…”

Section: Results and Conclusionsupporting

confidence: 83%

Optical coherence tomography detection of shear wave propagation in inhomogeneous tissue equivalent phantoms and ex-vivo carotid artery samples

Razani

Luk

Mariampillai

et al. 2014

Biomed. Opt. Express

View full text Add to dashboard Cite

Abstract:In this work, we explored the potential of measuring shear wave propagation using optical coherence elastography (OCE) in an inhomogeneous phantom and carotid artery samples based on a sweptsource optical coherence tomography (OCT) system. Shear waves were generated using a piezoelectric transducer transmitting sine-wave bursts of 400 μs duration, applying acoustic radiation force (ARF) to inhomogeneous phantoms and carotid artery samples, synchronized with a swept-source OCT (SS-OCT) imaging system. The phantoms were composed of gelatin and titanium dioxide whereas the carotid artery samples were embedded in gel. Differential OCT phase maps, measured with and without the ARF, detected the microscopic displacement generated by shear wave propagation in these phantoms and samples of different stiffness. We present the technique for calculating tissue mechanical properties by propagating shear waves in inhomogeneous tissue equivalent phantoms and carotid artery samples using the ARF of an ultrasound transducer, and measuring the shear wave speed and its associated properties in the different layers with OCT phase maps. This method lays the foundation for future in-vitro and in-vivo studies of mechanical property measurements of biological tissues such as vascular tissues, where normal and pathological structures may exhibit significant contrast in the shear modulus.

show abstract

“…The storage modulus of pork loin is between 5-15 kPa and its loss modulus is in between 0.5-5 kPa, for the measured frequency range. The storage modulus is close to the measurements obtained from beef and pork muscles obtained by previous studies [16][17][18]. In these studies, the elasticity of muscle is estimated to be 10-30 kPa.…”

Section: Discussionsupporting

confidence: 86%

A Noninvasive Surface Wave Method for Measuring the Complex Modulus of Viscoelastic Tissues

Qiang

Zhang

2011

2011 International Conference on Intelligent Computation and Bio-Medical Instrumentation

View full text Add to dashboard Cite

A noninvasive surface wave method is proposed for measuring the complex modulus of viscoelastic tissues. In this method, a small harmonic force is generated by a mechanical shaker on the tissue surface. The vibration on the tissue surface is measured by an ultrasound transducer. The surface wave speed is calculated locally over a short distance by a phase gradient method. The viscous properties of tissue are calculated from the attenuation of the surface wave amplitude with distance. Together, the complex modulus can be derived. Experiments are conducted in a 10% gelatin phantom and a pork loin sample between 100-300 Hz. Experimental results show that for a 10% gelatin phantom, its storage modulus is around 10 KPa and its loss modulus is around 0.5 KPa; for the pork loin sample, its storage modulus is between 5-15 KPa and its loss modulus is in between 0.5-5 KPa. The amplitude of the complex modulus is independent of the frequency for the gelatin material; however it increases with the frequency for the pork loin tissue. The results indicate that the surface wave is much more dispersive in the pork loin sample than in the gelatin phantom. These results are consistent with previous findings. The proposed method does not depend on viscoelastic constitutive models and can be used for evaluating the tissue viscoelastic properties.

show abstract

A Kramers–Kronig-based quality factor for shear wave propagation in soft tissue

Cited by 43 publications

References 24 publications

Modeling transversely isotropic, viscoelastic, incompressible tissue-like materials with application in ultrasound shear wave elastography

Modeling transversely isotropic, viscoelastic, incompressible tissue-like materials with application in ultrasound shear wave elastography

Optical coherence tomography detection of shear wave propagation in inhomogeneous tissue equivalent phantoms and ex-vivo carotid artery samples

A Noninvasive Surface Wave Method for Measuring the Complex Modulus of Viscoelastic Tissues

Contact Info

Product

Resources

About