Determination of constitutive equations for human arteries from clinical data
Determination of constitutive equations for human arteries from clinical data
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DOI：
10.1016/s0021-9290(02)00367-6
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发表时间：
2003-02-01
影响因子：
2.4
通讯作者：
Holzapfel, GA
中科院分区：
文献类型：
--
作者：
Schulze-Bauer, CAJ;Holzapfel, GA
血管壁的应力应变分析需要适当的本构方程。本构方程的确定基于以下实验数据：（i）承受内部压力和外部轴向力的血管段的直径和长度，以及（ii）无载荷参考几何形状。然而，典型的临床数据仅提供了舒张压-收缩压范围内的压力-直径关系。为了克服这个问题，提出了一种方法，允许确定本构方程的临床数据通过合理的假设，在原位配置和应力状态的动脉壁。该方法是基于一个二维的真菌型存储能量函数捕捉特征的动脉的非线性和各向异性的响应。关于正常血压和高血压受试者的人类动脉瘤的例子说明了这种方法的潜力。(C)2002爱思唯尔科技有限公司。保留所有权利。
Stress-strain analyses of vessel walls require appropriate constitutive equations. Determination of constitutive equations is based on experimental data of (i) diameter and length of a vessel segment subject to internal pressure and external axial force, and (ii) the load-free reference geometry. Typical clinical data, however, provide only pressure-diameter relations in the diastolic-systolic pressure range. In order to overcome this problem, an approach is proposed allowing the determination of constitutive equations from clinical data by means of reasonable assumptions regarding in situ configurations and stress states of arterial walls. The approach is based on a two-dimensional Fung-type stored-energy function capturing the characteristic nonlinear and anisotropic responses of arteries. Examples concerning human aortas from a normotensive and a hypertensive subject illustrate the potential of the approach. (C) 2002 Elsevier Science Ltd. All rights reserved.