Measurement of viscoelastic properties of homogeneous soft solid using transient elastography: An inverse problem approach

Measurement of viscoelastic properties of homogeneous soft solid using transient elastography: An inverse problem approach
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DOI:
10.1121/1.1815075
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发表时间:
2004-12-01
影响因子:
2.4
通讯作者:
Culioli, J
Culioli, J
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Catheline, S;Gennisson, JL;Culioli, J

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两个主要问题是本文的中心。第一,一个涉及的瞬态弹性成像,sonoelasticity或NMR弹性成像的软固体(20-1000赫兹)的频率范围内的流变模型的选择。瞬态弹性成像实验的基础上传播的平面剪切波的琼脂-明胶幻影或牛肌肉使一个量化其粘弹性。将这些实验结果与两个最简单的流变模型的预测结果进行比较,清楚地表明Voigt模型是更好的。本文研究的第二个问题是利用反问题算法进行定量粘度成图的可行性。在理想的情况下,平面剪切波在样品中传播,一个简单的反问题的基础上亥姆霍兹方程正确检索弹性和粘度。在一个更现实的情况下,非平面剪切波,这种简单的方法失败。然而,它表明,定量粘度映射仍然是可能的,如果使用一个适当的逆问题,充分考虑到固体中的衍射。(C)2004年,美国声学学会。
Two main questions are at the center of this paper. The first, one concerns the choice of a rheological model in the frequency range of transient elastography, sonoelasticity or NMR elastography for soft solids (20-1000 Hz). Transient elastography experiments based on plane shear waves that propagate in an Agar-gelatin phantom or in bovine muscles enable one to quantify their viscoelastic properties. The comparison of these experimental results to the prediction of the two simplest rheological models indicate clearly that Voigt's model is the better. The second question studied in the paper deals with the feasibility of quantitative viscosity mapping using, inverse problem algorithm. In the ideal situation where plane shear waves propagate in a sample, a simple inverse problem based on the Helmholtz equation correctly retrieves both elasticity and viscosity. In a more realistic situation with nonplane shear waves, this simple approach fails. Nevertheless, it is shown that quantitative viscosity mapping is still possible if one uses an appropriate inverse problem that fully takes into account diffraction in solids. (C) 2004 Acoustical Society of America.