The purpose of this study is to compare five viscoelastic models (Voigt, Maxwell, standard linear solid, spring-pot, and fractional Voigt models) for estimating viscoelastic properties based on ultrasound shear wave elastography measurements. We performed the forward problem analysis, the inverse problem analysis, and experiments. In the forward problem analysis, the shear wave speeds at different frequencies were calculated using the Voigt model for given shear elasticity and varying shear viscosity.

In the inverse problem analysis, the viscoelastic parameters were estimated from the given wave speeds for the five viscoelastic models using the least-square regression. The experiment was performed in a tissue-mimicking phantom. A local harmonic vibration was generated via a mechanical shaker on the phantom at five frequencies (100, 150, 200, 250, and 300 Hz) and an ultrasound transducer was used to capture the tissue motion. Shear wave speed of the phantom was measured using the ultrasound shear wave elastography technique. The parameters for different viscoelastic models for the phantom were identified. For both analytical and experimental studies, ratios of storage to loss modulus as a function of excitation frequency for different viscoelastic models were calculated. We found that the Voigt and fractional Voigt models fit well with the shear wave speed - frequency and ratio of storage to loss modulus – frequency relationships both in analytical and experimental studies.

这项研究的目的是比较五个粘弹性模型（Voigt，Maxwell，标准线性固体模型，弹力锅和分数Voigt模型），以基于超声剪切波弹性成像测量来估算粘弹性质。我们进行了正向问题分析，逆向问题分析和实验。在正向问题分析中，对于给定的剪切弹性和变化的剪切粘度，使用Voigt模型计算了不同频率下的剪切波速度。

在反问题分析中，使用最小二乘回归从五个粘弹性模型的给定波速估计粘弹性参数。实验是在模仿组织的模型中进行的。通过机械振荡器在幻影上以五个频率（100、150、200、250和300 Hz）产生局部谐波振动，并使用超声换能器捕获组织运动。使用超声剪切波弹性成像技术测量体模的剪切波速度。确定了用于模型的不同粘弹性模型的参数。对于分析研究和实验研究，计算了不同粘弹性模型的储能与损耗模量之比与激发频率的关系。