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Abstract：
A rising wave of technologies and instruments are enabling more labs and clinics to make a variety of measurements related to tissue viscoelastic properties. These instruments include elastography imaging scanners, rheological shear viscometers, and a variety of calibrated stress-strain analyzers. From these many sources of disparate data, a common step in analyzing results is to fit the measurements of tissue response to some viscoelastic model. In the best scenario, this places the measurements within a theoretical framework and enables meaningful comparisons of the parameters against other types of tissues. However, there is a large set of established rheological models, even within the class of linear, causal, viscoelastic solid models, so which of these should be chosen? Is it simply a matter of best fit to a minimum mean squared error of the model to several data points? We argue that the long history of biomechanics, including the concept of the extended relaxation spectrum, along with data collected from viscoelastic soft tissues over an extended range of times and frequencies, and the theoretical framework of multiple relaxation models which model the multi-scale nature of physical tissues, all lead to the conclusion that fractional derivative models represent the most succinct and meaningful models of soft tissue viscoelastic behavior. These arguments are presented with the goal of clarifying some distinctions between, and consequences of, some of the most commonly used models, and with the longer term goal of reaching a consensus among different sub-fields in acoustics, biomechanics, and elastography that have common interests in comparing tissue measurements.
摘要：
技术和仪器的兴起使更多的实验室和诊所能够进行与组织粘弹性特性相关的各种测量。这些仪器包括弹性成像扫描仪，流变剪切粘度计，和各种校准应力应变分析仪。从这些不同的数据来源，分析结果的一个常见步骤是将组织反应的测量值拟合到一些粘弹性模型。在最好的情况下，这将测量结果置于理论框架内,并能够将参数与其他类型的组织进行有意义的比较.然而,建立了大量的流变模型，即使在线性类，因果关系，粘弹性固体模型,Sowhichoftheseshouldbechosen?Isitsimplyamatterofbestfittoaminimummeansquarederrorofthemodeltoseveraldatapoints?Wearguethatthelonghistoryofbiomechanics,包括扩展弛豫谱的概念，以及从粘弹性软组织收集的数据在更大的时间和频率范围内，以及对物理组织的多尺度性质进行建模的多松弛模型的理论框架，所有得出的结论是，分数阶导数模型代表了最简洁和有意义的软组织粘弹性行为模型。提出这些论点的目的是澄清两者之间的一些区别，以及后果，一些最常用的模型，长期目标是在声学的不同子领域之间达成共识，生物力学,和弹性成像在比较组织测量结果方面有共同利益。
