### Abstract

Shear wave speed measurements are used in elasticity imaging to find the shear elasticity and viscosity of tissue. A technique called shear wave dispersion ultrasound vibrometry (SDUV) has been introduced to use the dispersive nature of shear wave speed to locally estimate the material properties of tissue. Shear waves are created using a multifrequency ultrasound radiation force, and the propagating shear waves are measured a few millimeters away from the excitation point. The shear wave speed is measured using a repetitive pulse-echo method and Kalman filtering to find the phase of the harmonic shear wave at two different locations. Using the following relationship, c_{s} = ω_{s}Δ/Δφ where ω_{s} is the shear wave frequency, Δr is the distance between measurement points, Δφ is the phase difference, the shear wave speed, c_{s}, can be estimated. A viscoelastic Voigt model and the shear wave speed measurements at different frequencies are used to find the shear elasticity (μ_{1}) and viscosity (μ_{2}) of the tissue. The purpose of this paper is to assess the accuracy of the SDUV method over a range of different values of μ_{1} and μ2_{2}. A motion detection model of a vibrating scattering medium was used to analyze measurement errors of vibration phase in a scattering medium. To assess the accuracy of the SDUV method, we modeled the propagation of phase errors into errors in the shear wave speed and material property estimates while varying parameters such as shear stiffness and viscosity, shear wave amplitude, Δr, signal-to-noise ratio (SNR) of the ultrasound pulse-echo method, and the frequency range of the measurements. We performed an experiment in a section of porcine muscle to evaluate variation of the aforementioned parameters on the shear wave speed and material property measurements and to validate the computer model. The model showed that errors in the shear wave speed and material property estimates were minimized by maximizing shear wave amplitude, pulse-echo SNR, Δr, and the frequency range used. The experimental model showed optimum performance could be obtained for Δr = 3-6 mm, SNR ≥ 20 dB, with a frequency range is 100-600 Hz, and with a shear wave amplitude on the order of a few microns down to 0.5 μm. We present a computational model and experimental approach to analyze errors in measurements of shear wave speed and material properties. The model provides a basis to explore different parameters related to implementation of the SDUV method. The experiment confirmed conclusions made by the model, and the results can be used for optimization of SDUV.

Original language | English (US) |
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Title of host publication | Proceedings - IEEE Ultrasonics Symposium |

Pages | 664-667 |

Number of pages | 4 |

DOIs | |

State | Published - 2007 |

Event | 2007 IEEE Ultrasonics Symposium, IUS - New York, NY, United States Duration: Oct 28 2007 → Oct 31 2007 |

### Other

Other | 2007 IEEE Ultrasonics Symposium, IUS |
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Country | United States |

City | New York, NY |

Period | 10/28/07 → 10/31/07 |

### Fingerprint

### Keywords

- Dispersion
- Shear wave
- Vibrometry

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings - IEEE Ultrasonics Symposium*(pp. 664-667). [4409745] https://doi.org/10.1109/ULTSYM.2007.172

**Error estimates in shear wave speed and tissue material properties in shear wave dispersion ultrasound vibrometry.** / Urban, Matthew W; Chen, Shigao D; Greenleaf, James F.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - IEEE Ultrasonics Symposium.*, 4409745, pp. 664-667, 2007 IEEE Ultrasonics Symposium, IUS, New York, NY, United States, 10/28/07. https://doi.org/10.1109/ULTSYM.2007.172

}

TY - GEN

T1 - Error estimates in shear wave speed and tissue material properties in shear wave dispersion ultrasound vibrometry

AU - Urban, Matthew W

AU - Chen, Shigao D

AU - Greenleaf, James F

PY - 2007

Y1 - 2007

N2 - Shear wave speed measurements are used in elasticity imaging to find the shear elasticity and viscosity of tissue. A technique called shear wave dispersion ultrasound vibrometry (SDUV) has been introduced to use the dispersive nature of shear wave speed to locally estimate the material properties of tissue. Shear waves are created using a multifrequency ultrasound radiation force, and the propagating shear waves are measured a few millimeters away from the excitation point. The shear wave speed is measured using a repetitive pulse-echo method and Kalman filtering to find the phase of the harmonic shear wave at two different locations. Using the following relationship, cs = ωsΔ/Δφ where ωs is the shear wave frequency, Δr is the distance between measurement points, Δφ is the phase difference, the shear wave speed, cs, can be estimated. A viscoelastic Voigt model and the shear wave speed measurements at different frequencies are used to find the shear elasticity (μ1) and viscosity (μ2) of the tissue. The purpose of this paper is to assess the accuracy of the SDUV method over a range of different values of μ1 and μ22. A motion detection model of a vibrating scattering medium was used to analyze measurement errors of vibration phase in a scattering medium. To assess the accuracy of the SDUV method, we modeled the propagation of phase errors into errors in the shear wave speed and material property estimates while varying parameters such as shear stiffness and viscosity, shear wave amplitude, Δr, signal-to-noise ratio (SNR) of the ultrasound pulse-echo method, and the frequency range of the measurements. We performed an experiment in a section of porcine muscle to evaluate variation of the aforementioned parameters on the shear wave speed and material property measurements and to validate the computer model. The model showed that errors in the shear wave speed and material property estimates were minimized by maximizing shear wave amplitude, pulse-echo SNR, Δr, and the frequency range used. The experimental model showed optimum performance could be obtained for Δr = 3-6 mm, SNR ≥ 20 dB, with a frequency range is 100-600 Hz, and with a shear wave amplitude on the order of a few microns down to 0.5 μm. We present a computational model and experimental approach to analyze errors in measurements of shear wave speed and material properties. The model provides a basis to explore different parameters related to implementation of the SDUV method. The experiment confirmed conclusions made by the model, and the results can be used for optimization of SDUV.

AB - Shear wave speed measurements are used in elasticity imaging to find the shear elasticity and viscosity of tissue. A technique called shear wave dispersion ultrasound vibrometry (SDUV) has been introduced to use the dispersive nature of shear wave speed to locally estimate the material properties of tissue. Shear waves are created using a multifrequency ultrasound radiation force, and the propagating shear waves are measured a few millimeters away from the excitation point. The shear wave speed is measured using a repetitive pulse-echo method and Kalman filtering to find the phase of the harmonic shear wave at two different locations. Using the following relationship, cs = ωsΔ/Δφ where ωs is the shear wave frequency, Δr is the distance between measurement points, Δφ is the phase difference, the shear wave speed, cs, can be estimated. A viscoelastic Voigt model and the shear wave speed measurements at different frequencies are used to find the shear elasticity (μ1) and viscosity (μ2) of the tissue. The purpose of this paper is to assess the accuracy of the SDUV method over a range of different values of μ1 and μ22. A motion detection model of a vibrating scattering medium was used to analyze measurement errors of vibration phase in a scattering medium. To assess the accuracy of the SDUV method, we modeled the propagation of phase errors into errors in the shear wave speed and material property estimates while varying parameters such as shear stiffness and viscosity, shear wave amplitude, Δr, signal-to-noise ratio (SNR) of the ultrasound pulse-echo method, and the frequency range of the measurements. We performed an experiment in a section of porcine muscle to evaluate variation of the aforementioned parameters on the shear wave speed and material property measurements and to validate the computer model. The model showed that errors in the shear wave speed and material property estimates were minimized by maximizing shear wave amplitude, pulse-echo SNR, Δr, and the frequency range used. The experimental model showed optimum performance could be obtained for Δr = 3-6 mm, SNR ≥ 20 dB, with a frequency range is 100-600 Hz, and with a shear wave amplitude on the order of a few microns down to 0.5 μm. We present a computational model and experimental approach to analyze errors in measurements of shear wave speed and material properties. The model provides a basis to explore different parameters related to implementation of the SDUV method. The experiment confirmed conclusions made by the model, and the results can be used for optimization of SDUV.

KW - Dispersion

KW - Shear wave

KW - Vibrometry

UR - http://www.scopus.com/inward/record.url?scp=48149085551&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48149085551&partnerID=8YFLogxK

U2 - 10.1109/ULTSYM.2007.172

DO - 10.1109/ULTSYM.2007.172

M3 - Conference contribution

AN - SCOPUS:48149085551

SN - 1424413834

SN - 9781424413836

SP - 664

EP - 667

BT - Proceedings - IEEE Ultrasonics Symposium

ER -