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人体气管的力学行为的实验表征和本构建模。

Experimental characterization and constitutive modeling of the mechanical behavior of the human trachea.

机构信息

Group of Structural Mechanics and Material Modeling (GEMM), Aragon Institute of Engineering Research (I3A), Network Centre of Biomedical Research on Bioengineering Biomaterials and Nanomedicine (CIBER-BBN), University of Zaragoza, Maria de Luna s/n, Zaragoza, Spain.

出版信息

Med Eng Phys. 2010 Jan;32(1):76-82. doi: 10.1016/j.medengphy.2009.10.010. Epub 2009 Nov 17.

Abstract

BACKGROUND AND AIMS

Cartilage and smooth muscle constitute the main structural components of the human central airways, their mechanical properties affect the flow in the trachea and contribute to the biological function of the respiratory system. The aim of this work is to find out the mechanical passive response of the principal constituents of the human trachea under static tensile conditions and to propose constitutive models to describe their behavior.

METHODS

Histological analyses to characterize the tissues and mechanical tests have been made on three human trachea specimens obtained from autopsies. Uniaxial tensile tests on cartilaginous rings and smooth muscle were performed. Tracheal cartilage was considered an elastic material and its Young's modulus and Poisson's coefficient were determined fitting the experimental curves using a Neo-Hookean model. The smooth muscle was proved to behave as a reinforced hyperelastic material with two families of collagen fibers, and its non-linearity was investigated using the Holzapfel strain-energy density function for two families of fibers to fit the experimental data obtained from longitudinal and transversal cuts.

RESULTS

For cartilage, fitting the experimental curves to an elastic model, a Young's modulus of 3.33 MPa and nu=0.49 were obtained. For smooth muscle, several parameters of the Holzapfel function were found out (C(10)=0.877 kPa, k(1)=0.154 kPa, k(2)=34.157, k(3)=0.347 kPa and k(4)=13.889) and demonstrated that the tracheal muscle was stiffer in the longitudinal direction.

CONCLUSION

The better understanding of how these tissues mechanically behave is essential for a correct modeling of the human trachea, a better simulation of its response under different loading conditions, and the development of strategies for the design of new endotracheal prostheses.

摘要

背景和目的

软骨和平滑肌构成了人体中央气道的主要结构成分,它们的力学性能影响着气管内的流动,并有助于呼吸系统的生物学功能。本工作的目的是在静态拉伸条件下找出人体气管主要成分的力学被动反应,并提出描述其行为的本构模型。

方法

对从尸检中获得的三个人体气管标本进行组织学分析和力学测试。对软骨环和平滑肌进行单轴拉伸试验。气管软骨被认为是一种弹性材料,其杨氏模量和泊松比通过使用 Neo-Hookean 模型拟合实验曲线来确定。平滑肌被证明是一种具有两种胶原纤维家族的增强超弹性材料,其非线性通过 Holzapfel 应变能密度函数对两种纤维家族进行研究,以拟合从纵向和横向切割获得的实验数据。

结果

对于软骨,通过将实验曲线拟合到弹性模型,得到杨氏模量为 3.33 MPa 和 nu=0.49。对于平滑肌,发现 Holzapfel 函数的几个参数(C(10)=0.877 kPa,k(1)=0.154 kPa,k(2)=34.157,k(3)=0.347 kPa 和 k(4)=13.889),并证明气管肌肉在纵向方向上更硬。

结论

更好地了解这些组织的力学行为对于正确建模人体气管、更好地模拟其在不同加载条件下的响应以及开发新的气管内假体设计策略至关重要。

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