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猪冠状动脉组织在单轴和双轴张力下的弹性行为。

Elastic behavior of porcine coronary artery tissue under uniaxial and equibiaxial tension.

作者信息

Lally C, Reid A J, Prendergast P J

机构信息

Centre for Bioengineering & Department of Mechanical Engineering Trinity College, Dublin 2, Ireland.

出版信息

Ann Biomed Eng. 2004 Oct;32(10):1355-64. doi: 10.1114/b:abme.0000042224.23927.ce.

Abstract

The aim of this study was to characterize the nonlinear anisotropic elastic behavior of healthy porcine coronary arteries under uniaxial and equibiaxial tension. Porcine coronary tissue was chosen for its availability and similarity to human arterial tissue. A biaxial test device previously used to test human femoral arterial tissue samples (Prendergast, P. J., C. Lally, S. Daly, A. J. Reid, T. C. Lee, D. Quinn, and F. Dolan. ASME J. Biomech. Eng., Vol. 125, pp. 692-699, 2003) was further developed to test porcine coronary tissue specimens. The device applies an equal force to the four sides of a square specimen and therefore creates a biaxial stretch that demonstrates the anisotropy of arterial tissue. The nonlinear elastic behavior was marked in both uniaxial and biaxial tests. The tissue demonstrated higher stiffness in the circumferential direction in four out of eight cases subjected to biaxial tension. Even though anisotropy is demonstrated it is proposed that an isotropic hyperelastic model may adequately represent the properties of an artery, provided that an axial stretch is applied to the vessel to simulate the in vivo longitudinal tethering on the vessel. Isotropic hyperelastic models based on the Mooney-Rivlin constitutive equation were derived from the test data by averaging the longitudinal and circumferential equibiaxial data. Three different hyperelastic models were established to represent the test specimens that exhibited a high stiffness, an average stiffness, and a low stiffness response; these three models allow the analyst to account for the variability in the arterial tissue mechanical properties. These models, which take account of the nonlinear elastic behavior of coronary tissue, may be implemented in finite element models and used to carry out preclinical tests of intravascular devices. The errors associated with the hyperelastic models when fitting to both the uniaxial and equibiaxial data for the low stiffness, average stiffness, and high stiffness models were found to be 0.836, 5.206, and 2.980, respectively.

摘要

本研究的目的是表征健康猪冠状动脉在单轴和双轴拉伸下的非线性各向异性弹性行为。选择猪冠状动脉组织是因为其易于获取且与人体动脉组织相似。一种先前用于测试人体股动脉组织样本的双轴测试装置(Prendergast, P. J., C. Lally, S. Daly, A. J. Reid, T. C. Lee, D. Quinn, and F. Dolan. ASME J. Biomech. Eng., Vol. 125, pp. 692 - 699, 2003)被进一步改进以测试猪冠状动脉组织样本。该装置对正方形样本的四条边施加相等的力,从而产生双轴拉伸,展示了动脉组织的各向异性。在单轴和双轴测试中均显著表现出非线性弹性行为。在八例双轴拉伸的情况中,有四例组织在圆周方向表现出更高的刚度。尽管表现出各向异性,但有人提出,只要对血管施加轴向拉伸以模拟血管在体内的纵向束缚,各向同性超弹性模型可能足以代表动脉的特性。基于Mooney - Rivlin本构方程的各向同性超弹性模型是通过对纵向和圆周双轴数据进行平均,从测试数据中推导出来的。建立了三种不同的超弹性模型来代表表现出高刚度、平均刚度和低刚度响应的测试样本;这三种模型使分析人员能够考虑动脉组织力学性能的变异性。这些考虑了冠状动脉组织非线性弹性行为的模型可在有限元模型中实现,并用于进行血管内装置的临床前测试。发现低刚度、平均刚度和高刚度模型在拟合单轴和双轴数据时与超弹性模型相关的误差分别为0.836、5.206和2.980。

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