北京生物医学工程

大鼠小梁网组织压痕实验有限元模拟研究

Finite element simulation study on indentation experiment of rat trabecular meshwork

作者：王川董建鑫张静李林刘志成

单位：首都医科大学燕京医学院（北京101300），<br />徐州医科大学医学影像学院（江苏徐州221004），<br />首都医科大学生物医学工程学院（北京 100069），<br />临床生物力学应用基础研究北京市重点实验室（北京 100069）<br />通信作者：刘志成，教授，博士研究生导师。E-mail：zcliu@ccmu.edu.cn

关键词：小梁网组织；弹性模量，有限元分析，压痕实验；Hertz模型

分类号：R318.01

出版年·卷·期（页码）：2022·41·5（454-457）

摘要：

目的原子力显微镜压痕技术确定的大鼠小梁网组织弹性模量结果显示，不同压入部位弹性模量值存在较大的差别，为分析差别产生的原因，本文拟利用有限元方法模拟小梁网组织压入力学行为。方法首先基于大鼠小梁网组织共聚焦断层图像，经重建获取小梁网组织的三维结构模型，给出适用于描述大鼠小梁网组织力学特性的一阶Ogden模型参数；然后利用有限元分析模拟压痕实验获取不同位置处小梁网组织弹性模量。结果构建了大鼠小梁网组织三维结构模型，给出了模拟原子力显微镜压痕实验的一阶Ogden模型参数，有限元模拟获取了不同压入位置处的小梁网组织弹性模量范围为38~1300 Pa。结论一阶Ogden模型适用于小梁网组织压痕实验模拟。

Objective There is a large deviation between the elastic modulus of rat trabecular meshwork determined by atomic force microscope indentation technique. In order to analyze the causes of the deviation, the finite element method is used to simulate the Indentation mechanical behavior of trabecular meshwork. Methods First, based on the confocal sectional image of rat trabecular meshwork tissue, the three-dimensional structure model of trabecular meshwork tissue was obtained. The parameters of the first-order Ogden model suitable for describing the mechanical properties of rat trabecular meshwork were given.Then, finite element analysis was used to simulate the indentation experiment to obtain the elastic modulus of trabecular meshwork at different positions. Results The three-dimensional structure model of rat trabecular meshwork was constructed, and the parameter of the first-order Ogden model was given. The elastic modulus of trabecular meshwork at different indentation positions was obtained by finite element simulation, ranging from 38 to 1400 Pa. Conclusions In this study, the rat trabecular meshwork tissue indentation experiment is simulated based on the finite element method, and the first-order Ogden model parameters describing the mechanical properties of trabecular meshwork tissue are given. The results show that the first-order Ogden model is suitable for the experimental simulation of trabecular meshwork tissue indentation.

参考文献：

[1]Tham YC, Li X, Wong TY, et al. Global prevalence of glaucoma and projections of glaucoma burden through 2040: a
systematic review and meta-analysis [ J ]. Ophthalmology, 2014, 121(11):2081-2090.
[2] Tamm ER. The trabecular meshwork outflow pathways: Structural and functional aspects [ J ]. Experimental Eye Research, 2009, 88(4): 648-655.
[3] Toris CB, Koepsell SA, Yablonski ME, et al. Aqueous humor dynamics in ocular hypertensive patients [ J ]. Journal of Glaucoma, 2002, 11(3): 253-258.
[4] Wang K, Thomas A, Read, et al. Trabecular meshwork stiffness in glaucoma [ J ]. Experimental Eye Research, 2017, 158:3-12.
[5] Lucinda J, Camras, Daniel W, et al. Differential Effects of Trabecular Meshwork Stiffness on Outflow Facility in
Normal Human and Porcine Eyes [ J ]. Investigative Opthalmology & Visual Science, 2012, 53(9): 5242-5250.
[6] 于洋, 李林, 李珊珊，等. 大鼠小梁细胞的体外培养及弹性模量的测量[ J ]. 北京生物医学工程, 2019, 38(02):145-150.
Yu Y, Li L, Li SS, et al. Culture in vitro and stiffness measurement of rat trabecular meshwork Cells [ J ]. Beijing
Biomedical Engineering, 2019, 38(02):145-150.
[7] Yuan F, Camras L J , Gonzalez P. Trabecular Meshwork Stiffness in Ex Vivo Perfused Porcine Eyes[ J ]. Investigative
Ophthalmology & Visual Science, 2011, 52(14): 6693-6693.
[8] Huang JY, Camras LJ, Yuan F. Mechanical analysis of rat trabecular meshwork [ J ]. Soft Matter, 2015, 11(14):
2857-2865.
[9] Last JA , Pan T , Ding Y , et al. Elastic Modulus Determination of Normal and Glaucomatous Human Trabecular
Meshwork[J]. Investigative Ophthalmology & Visual Science January，2012，53：117.
[10] 王川,李林,刘志成. 基于原子力显微镜压痕技术的大鼠小梁网组织弹性模量测定[J]. 北京生物医学工
程,2021,40(4):354-359.
Wang C, Li L, Liu ZC. Determination of elastic modulus of rat trabecular meshwork by atomic force
microscope indentation technique[ J ]. Beijing Biomedical Engineering, 2021, 40(4):345-359.
[11] 张静, 钱秀清, 张海霞,等. 基于双光子共聚焦成像的大鼠小梁网三维重建及有限元分析[J]. 中国生物医学工程
学报, 2018, 37(4):461-467.?
Zhang J, Qian XQ, Zhang HX, et al. Three dimensional reconstruction and finite element analysis of rat
trabecular meshwork based on two-photon confocal imaging[ J ]. Chinese Journal of Biomedical Engineering, 2018,
37 (4): 461-467.
[12] 张静, 钱秀清, 张海霞,等. 基于双光子共聚焦成像技术的小梁网通道原位成像研究[J]. 眼科,2019,28(3):192-196.
Zhang J, Qian XQ, Zhang HX, et al. In situ imaging of trabecular meshwork channel based on two-photon
confocal imaging technology [J]. Ophthalmology, 2019,28 (3): 192-196.
[13] 孙太凤, 王慧枝, 穆晶,等. 基于整体角膜膨胀实验对兔眼角膜参数的确定[J]. 北京生物医学工程, 2016,
35(2):191-197.?
Sun TF, Wang HZ, Mu J, et al. Determining the biomechanical properties of rabbit cornea with inflation tests[ J ]. Beijing Biomedical Engineering, 2016, 35(2):191-197.
[14] Allison DP, Mortensen NP, Sullivan CJ, et al. Atomic force microscopy of biological Samples [ J ]. Wiley Interdisciplinary Reviews Nanomedicine & Nanobiotechnology, 2010, 2(6): 618-634.
[15] Wang C, Li L, Liu ZC. Experimental research on the relationship between the stiffness and the expressions of fibronectin proteins and adaptor proteins of rat trabecular meshwork cells [ J ]. BMC Ophthalmology, 2017, 17(1): 268.

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