Shear Wave Propagation and Estimation of Material Parameters in a Nonlinear, Fibrous Material
Shear Wave Propagation and Estimation of Material Parameters in a Nonlinear, Fibrous Material
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DOI：
10.1115/1.4044504
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发表时间：
2020-05-01
影响因子：
1.7
通讯作者：
Bayly, Philip, V
中科院分区：
文献类型：
--
作者：
Hou, Zuoxian;Okamoto, Ruth J.;Bayly, Philip, V
本文描述了剪切波在holzapfell - gasser - ogden （HGO）材料中的传播，并探讨了磁共振弹性成像（MRE）在从实验数据估计HGO材料模型参数方面的潜力。在大多数MRE研究中，假定材料的行为受线性、各向同性弹性或粘弹性的支配。相反，生物组织往往是非线性和各向异性的纤维结构。在这种材料中，准静态变形（预变形）的应用对剪切波的传播起着重要的作用。在参考（未变形）配置和施加预变形后，发现具有单一纤维族的HGO材料的剪切波速度的封闭形式表达式。这些解析表达式表明，剪切波速受HGO模型参数(mu,kappa（1),kappa(2),kappa）以及预变形方向和幅度的影响。相应的有限元模型仿真证实了HGO模型参数对具有特定极化和传播方向的横波速度的预测影响。重要的是，波速对HGO模型参数和施加变形的依赖最终可以从实验剪切波图像数据中无创地估计体内材料参数。
This paper describes the propagation of shear waves in a Holzapfel-Gasser-Ogden (HGO) material and investigates the potential of magnetic resonance elastography (MRE) for estimating parameters of the HGO material model from experimental data. In most MRE studies the behavior of the material is assumed to be governed by linear, isotropic elasticity or viscoelasticity. In contrast, biological tissue is often nonlinear and anisotropic with a fibrous structure. In such materials, application of a quasi-static deformation (predeformation) plays an important role in shear wave propagation. Closed form expressions for shear wave speeds in an HGO material with a single family of fibers were found in a reference (undeformed) configuration and after imposed predeformations. These analytical expressions show that shear wave speeds are affected by the parameters (mu,kappa(1),kappa(2),kappa) of the HGO model and by the direction and amplitude of the predeformations. Simulations of corresponding finite element (FE) models confirm the predicted influence of HGO model parameters on speeds of shear waves with specific polarization and propagation directions. Importantly, the dependence of wave speeds on the parameters of the HGO model and imposed deformations could ultimately allow the noninvasive estimation of material parameters in vivo from experimental shear wave image data.