Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK.
Exp Eye Res. 2012 Apr;97(1):36-48. doi: 10.1016/j.exer.2012.01.011. Epub 2012 Feb 4.
The paper describes a program of mechanical testing on donated human eye bank lenses. The principal purpose of the tests was to obtain experimental data on the shear modulus of the lens for use in future computational models of the accommodation process. Testing was conducted using a procedure in which deformations are induced in the lens by spinning it about its polar axis. Shear modulus data were inferred from these observed deformations by means of a finite element inverse analysis procedure in which the spatial variation of the shear modulus within the lens is represented by an appropriate function (see Burd et al., 2011 for a detailed specification of the design of the spinning lens test rig, experimental protocols and associated data analysis procedures that were employed in the tests). Inferred data on lens shear modulus are presented for a set of twenty-nine lenses in the age range 12 years to 58 years. The lenses were tested between 47 h and 110 h from the time of death (average post-mortem time 74 h). Care was taken to exclude any lenses that had been affected by excessive post-mortem swelling, or any lenses that had suffered mechanical damage during storage, transit or the testing process. The experimental data on shear modulus indicate that, for young lenses, the cortex is stiffer than the nucleus. The shear modulus of the nucleus and cortex both increase with increasing age. The shear modulus of the nucleus increases more rapidly than the cortex with the consequence that from an age of about 45 years onwards the nucleus is stiffer than the cortex. The principal shear modulus data presented in the paper were obtained by testing at a rotational speed of 1,000 rpm. Supplementary tests were conducted at rotational speeds of 700 rpm and 1,400 rpm. The results from these supplementary tests are in good agreement with the data obtained from the principal 1,000 rpm tests. Studies on the possible effects of lens drying during the test suggested that this factor is unlikely to have led to significant errors in the experimental determination of the shear modulus. The shear modulus data presented in the paper are used to develop 'age-stiffness' models to represent the shear modulus of the lens as a function of age. These models are in a form that may be readily incorporated in a finite element model of the accommodation process. A comparison is attempted between the shear modulus data presented in the current paper and equivalent data published by previous authors. This comparison highlights various limitations and inconsistencies in the data sets.
本文描述了一项针对捐赠人眼库晶状体的机械测试计划。测试的主要目的是获取晶状体剪切模量的实验数据,以便用于未来的调节过程计算模型。测试采用的方法是使晶状体绕其极轴旋转以产生变形。通过有限元反分析程序从这些观察到的变形中推断出剪切模量数据,该程序通过适当的函数来表示晶状体内剪切模量的空间变化(有关旋转透镜测试装置的设计、在测试中使用的实验方案和相关数据分析程序的详细规范,请参见 Burd 等人,2011)。本文为一组 29 个年龄在 12 岁至 58 岁之间的晶状体提供了晶状体剪切模量的数据。这些晶状体在死后 47 小时至 110 小时之间(平均死后时间为 74 小时)进行了测试。特别注意排除了那些受到过度死后肿胀影响的晶状体,或在储存、运输或测试过程中遭受机械损伤的晶状体。剪切模量的实验数据表明,对于年轻的晶状体,皮质比核硬。核和皮质的剪切模量都随年龄的增加而增加。核的剪切模量增加速度快于皮质,因此从大约 45 岁开始,核比皮质硬。本文中呈现的主要剪切模量数据是通过在 1000rpm 的转速下进行测试获得的。在 700rpm 和 1400rpm 的转速下进行了补充测试。这些补充测试的结果与从主要的 1000rpm 测试中获得的数据非常吻合。对测试过程中晶状体干燥可能产生的影响的研究表明,该因素不太可能导致剪切模量实验测定中的显著误差。本文中呈现的剪切模量数据用于开发“年龄-硬度”模型,以表示晶状体的剪切模量随年龄的变化。这些模型的形式可以很容易地纳入调节过程的有限元模型中。尝试将本文中呈现的剪切模量数据与之前作者发表的等效数据进行比较。这种比较突出了数据集的各种局限性和不一致性。