IEEE Trans Ultrason Ferroelectr Freq Control. 2014 Feb;61(2):277-87. doi: 10.1109/TUFFC.2014.6722613.
With the purpose of assessing localized rheological behavior of pathological tissues using ultrasound dynamic elastography, an analytical shear wave scattering model was used in an inverse problem framework. The proposed method was adopted to estimate the complex shear modulus of viscoelastic spheres from 200 to 450 Hz. The inverse problem was formulated and solved in the frequency domain, allowing assessment of the complex viscoelastic shear modulus at discrete frequencies. A representative rheological model of the spherical obstacle was determined by comparing storage and loss modulus behaviors with Kelvin-Voigt, Maxwell, Zener, and Jeffrey models. The proposed inversion method was validated by using an external vibrating source and acoustic radiation force. The estimation of viscoelastic properties of three-dimensional spheres made softer or harder than surrounding tissues did not require a priori rheological assumptions. The proposed method is intended to be applied in the context of breast cancer imaging.
为了使用超声动态弹性成像评估病理性组织的局部流变行为，本文在反问题框架中使用了分析剪切波散射模型。该方法被用于从 200 到 450Hz 范围内估计粘弹性球体的复剪切模量。反问题在频域中进行公式化和求解，允许在离散频率下评估复粘弹性剪切模量。通过将存储和损耗模量行为与 Kelvin-Voigt、Maxwell、Zener 和 Jeffrey 模型进行比较，确定了球形障碍物的代表性流变模型。通过使用外部振动源和声辐射力对所提出的反演方法进行了验证。对周围组织软硬程度不同的三维球体的粘弹性特性的估计不需要先验的流变学假设。所提出的方法旨在应用于乳腺癌成像中。
