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基于 Kramer-Kronig 的软组织中剪切波传播的品质因子。

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

机构信息

Mayo Clinic College of Medicine, 200 First Street SW, Rochester, MN 55905, USA.

出版信息

Phys Med Biol. 2009 Oct 7;54(19):5919-33. doi: 10.1088/0031-9155/54/19/017. Epub 2009 Sep 17.

Abstract

Shear wave propagation techniques have been introduced for measuring the viscoelastic material properties of tissue, but assessing the accuracy of these measurements is difficult for in vivo measurements in tissue. We propose using the Kramers-Kronig relationships to assess the consistency and quality of the measurements of shear wave attenuation and phase velocity. In ex vivo skeletal muscle we measured the wave attenuation at different frequencies, and then applied finite bandwidth Kramers-Kronig equations to predict the phase velocities. We compared these predictions with the measured phase velocities and assessed the mean square error (MSE) as a quality factor. An algorithm was derived for computing a quality factor using the Kramers-Kronig relationships.

摘要

剪切波传播技术已被引入用于测量组织的粘弹性材料特性,但对于组织中的体内测量,评估这些测量的准确性是困难的。我们建议使用 Kramer-Kronig 关系来评估剪切波衰减和相速度测量的一致性和质量。在离体骨骼肌中,我们测量了不同频率下的波衰减,然后应用有限带宽 Kramer-Kronig 方程来预测相速度。我们将这些预测与测量的相速度进行比较,并将均方误差 (MSE) 作为质量因子进行评估。我们推导了一种使用 Kramer-Kronig 关系计算质量因子的算法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae4/2778054/bee819d9212d/nihms151510f1.jpg

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