基于压痕实验确定筛板与视神经力学特性的方法研究
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1.首都医科大学;2.首都医科大学附属北京友谊医院

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A Method for Determining the Mechanical Properties of the Lamina Cribrosa and Optic Nerve Based on Indentation Experiments
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1.Capital Medical University;2.Beijing Friendship Hospital, Affiliated with Capital Medical University

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    摘要:

    目的 高眼压下筛板变形将挤压穿行其中的视神经节细胞(Retinal Ganglion Cells,RGC)轴突,导致RGC轴突损伤和轴浆流阻断,因此研究筛板的力学特性有重要意义。筛板区组织包含筛板和RGC轴突,可看作是一种典型的非均质复合材料。本文拟利用有限元方法模拟压痕实验,研究筛板区组织力学特性与压痕接触区域的关系,提出一种确定筛板和RGC轴突力学特性的方法。方法 基于大鼠及猫眼筛板区组织微观结构,建立筛板区组织的理想化非均质复合材料三维有限元模型。利用有限元方法模拟球形压头压入的过程,获得不同孔隙率时压头的压入深度与压入载荷曲线,利用量纲分析原理获得筛板区组织中筛板与RGC轴突的模量比,以及压入载荷与孔隙率、筛板力学特性及RGC轴突力学特性的关系,从而确定筛板和RGC轴突的力学特性。结果基于经验公式获得筛板区各组分在压痕实验下的模量比和有效弹性模量,并利用数值算例验证了模量比和有效弹性模量确定方法的有效性,结果发现模量比识别误差低于5%,有效弹性模量识别误差低于6%。结论 测量视乳头筛板区孔隙率后,可以使用经验公式对筛板力学特性进行定量评估,为青光眼视神经损伤的机理研究提供基础。

    Abstract:

    Abstract:Objective Under high intraocular pressure, the deformation of the lamina cribrosa compresses the axons of retinal ganglion cells (RGCs) passing through it, leading to axonal damage and axoplasmic flow blockage. Therefore, studying the mechanical properties of the lamina cribrosa is of great significance. The lamina cribrosa region, comprising the lamina cribrosa and RGC axons, can be regarded as a typical heterogeneous composite material. This study aims to simulate indentation experiments using the finite element method to investigate the relationship between the mechanical properties of the tissues of the lamina cribrosa region and the contact area during indentation, and to propose a method for determining the mechanical properties of the lamina cribrosa and RGC axons. Methods Based on the microstructure of the tissues of lamina cribrosa region in rats and cats, an idealized three-dimensional finite element model of the heterogeneous composite material representing the lamina cribrosa region was established. The finite element method was used to simulate the indentation process of a spherical indenter, generating load-depth curves for various porosities of lamina cribrosa. Using dimensional analysis principles to obtain the modulus ratio of the lamina cribrosa to RGC axons in the lamina cribrosa region tissues, as well as the relationship between the indentation load, porosity, mechanical properties of the lamina cribrosa, and mechanical properties of RGC axons, thereby determining the mechanical properties of the lamina cribrosa and RGC axons. Results An empirical formula was used to obtain the modulus ratio and the effective elastic modulus of each component in the lamina cribrosa region tissues under indentation, and numerical examples verified the validity of the method for determining the modulus ratio and the effective elastic modulus. The results showed that the errors in identifying the modulus ratio was less than 5%, and the effective elastic modulus was less than 6%. Conclusion By measuring the porosity of the lamina cribrosa region tissues, the mechanical properties of the lamina cribrosa could be obtained.

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  • 收稿日期:2025-01-17
  • 最后修改日期:2025-02-28
  • 录用日期:2025-03-03
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