论文标题

通过剪切波测量脑组织的线性和非线性弹性特性和逆分析

Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis

论文作者

Jiang, Yi, Li, Guoyang, Qian, Lin-Xue, Liang, Si, Destrade, Michel, Cao, Yanping

论文摘要

我们使用超音速剪切波成像(SSI)技术不仅测量线性,而且测量脑物质的非线性弹性特性。在这里,我们在体内测试了六个猪大脑,并测量了在将超声探针推入软组织时,在不同的预启示状态下,在不同的预染色状态下,声辐射力诱导的平面剪切波的速度。我们基于一种理论,依靠一种反向方法,该理论是在变形固体中繁殖的幅度声波传播以解释实验数据。我们发现,根据受试者的不同,最初的剪切模量MU0从1.8到3.2 kPa不等,超弹性demiray-fung模型的僵硬参数B从0.13到0.73,而第三(a)和第四阶和第四阶(d)弱非线性弹性的弹性弹性弹性弹性为-1.3到-20.6 kpa,并从-1.6 kpa和3.1 kpa。对大脑左右叶的实验结果进行的配对t检验没有显着差异。这些值与有关脑组织的文献中报道的值一致,表明SSI方法与反相反分析相结合,是用于机械表征的脑组织机械表征的一种有效而有力的工具,这对于对创伤性脑损伤和虚拟神经外科手术的计算机模拟非常重要。

We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the plane shear waves induced by acoustic radiation force at different states of pre-deformation when the ultrasonic probe is pushed into the soft tissue. We relied on an inverse method based on the theory governing the propagation of small-amplitude acoustic waves in deformed solids to interpret the experimental data. We found that, depending on the subjects, the resulting initial shear modulus mu0 varies from 1.8 to 3.2 kPa, the stiffening parameter b of the hyperelastic Demiray-Fung model from 0.13 to 0.73, and the third- (A) and fourth-order (D) constants of weakly nonlinear elasticity from -1.3 to -20.6 kPa and from 3.1 to 8.7 kPa, respectively. Paired t-test performed on the experimental results of the left and right lobes of the brain shows no significant difference. These values are in line with those reported in the literature on brain tissue, indicating that the SSI method, combined to the inverse analysis, is an efficient and powerful tool for the mechanical characterization of brain tissue, which is of great importance for computer simulation of traumatic brain injury and virtual neurosurgery.

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