Three-Dimensional Modeling and Computational Analysis of the Human Cornea Considering Distributed Collagen Fibril Orientations

Three-Dimensional Modeling and Computational Analysis of the Human Cornea Considering Distributed Collagen Fibril Orientations
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DOI:
10.1115/1.2982251
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发表时间:
2008-12-01
影响因子:
1.7
通讯作者:
Holzapfel, Gerhard A.
Holzapfel, Gerhard A.
中科院分区:
工程技术4区
文献类型:
--
作者:
Pandolfi, Anna;Holzapfel, Gerhard A.

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对人角膜的实验测试揭示了显著的增强胶原层状结构,其可以通过结构本构模型很好地描述,该结构本构模型考虑了沿上下和鼻颞子午线沿着分布的胶原纤维取向。材料结构和几何形状之间的适当相互作用保证了角膜的屈光功能并限定了角膜的屈光特性。我们提出了一个三维的计算模型,能够提供的屈光力,通过分析结构的机械响应与非线性政权和眼内压的影响。对于一个指定的卸载几何形状,我们展示了如何分布的冯米塞斯应力在角膜的上表面,并通过角膜厚度和屈光力取决于材料的性质和原纤维分散。我们的结论是,为人类角膜的模型不能忽视特殊的胶原纤维结构,它配备了独特的生物物理,机械和光学性能的角膜。
Experimental tests on human corneas reveal distinguished reinforcing collagen lamellar structures that may be well described by a structural constitutive model considering distributed collagen fibril orientations along the superior-inferior and the nasal-temporal meridians. A proper interplay between the material structure and the geometry guarantees the refractive function and defines the refractive properties of the cornea. We propose a three-dimensional computational model for the human cornea that is able to provide the refractive power by analyzing the structural mechanical response with the nonlinear regime and the effect the intraocular pressure has. For an assigned unloaded geometry we show how the distribution of the von Mises stress at the top surface of the cornea and through the corneal thickness and the refractive power depend on the material properties and the fibril dispersion. We conclude that a model for the human cornea must not disregard the peculiar collagen fibrillar structure, which equips the cornea with the unique biophysical, mechanical, and optical properties.