Mayo Ultrasound Research Laboratory, Mayo Clinic College of Medicine, 200 First Street SW, Rochester, Minnesota 55905, USA.
J Acoust Soc Am. 2011 Dec;130(6):3549-52. doi: 10.1121/1.3654029.
In the past several decades, the fields of ultrasound and magnetic resonance elastography have shown promising results in noninvasive estimates of mechanical properties of soft tissues. These techniques often rely on measuring shear wave velocity due to an external or internal source of force and relating the velocity to viscoelasticity of the tissue. The mathematical relationship between the measured velocity and material properties of the myocardial wall, arteries, and other organs with non-negligible boundary conditions is often complicated and computationally expensive. A simple relationship between the Lamb-Rayleigh dispersion and the shear wave dispersion is derived for both the velocity and attenuation. The relationship shows that the shear wave velocity is around 20% higher than the Lamb-Rayleigh velocity and that the shear wave attenuation is about 20% lower than the Lamb-Rayleigh attenuation. Results of numerical simulations in the frequency range 0-500 Hz are presented.
在过去几十年中，超声和磁共振弹性成像领域在无创估计软组织的机械性能方面取得了有前景的结果。这些技术通常依赖于测量由于外部或内部力源而产生的剪切波速度，并将速度与组织的粘弹性相关联。测量速度与具有不可忽略边界条件的心肌壁、动脉和其他器官的材料特性之间的数学关系通常很复杂且计算成本很高。对于速度和衰减，推导出 Lamb-Rayleigh 频散和剪切波频散之间的简单关系。结果表明，剪切波速度比 Lamb-Rayleigh 速度高约 20%，剪切波衰减比 Lamb-Rayleigh 衰减低约 20%。给出了频率范围为 0-500 Hz 的数值模拟结果。
