Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, UK.
Exp Eye Res. 2011 Jan;92(1):28-39. doi: 10.1016/j.exer.2010.10.010. Epub 2010 Oct 30.
It is widely accepted that age-related changes in lens stiffness are significant for the development of presbyopia. However, precise details on the relative importance of age-related changes in the stiffness of the lens, in comparison with other potential mechanisms for the development of presbyopia, have not yet been established. One contributing factor to this uncertainty is the paucity and variability of experimental data on lens stiffness. The available published data generally indicate that stiffness varies spatially within the lens and that stiffness parameters tend to increase with age. However, considerable differences exist between these published data sets, both qualitatively and quantitatively. The current paper describes new and improved methods, based on the spinning lens approach pioneered by Fisher, R.F. (1971) 'The elastic constants of the human lens', Journal of Physiology, 212, 147-180, to make measurements on the stiffness of the human lens. These new procedures have been developed in an attempt to eliminate, or at least substantially reduce, various systematic errors in Fisher's original experiment. An improved test rig has been constructed and a new modelling procedure for determining lens stiffness parameters from observations made during the test has been devised. The experiment involves mounting a human lens on a vertical rotor so that the lens spins on its optical axis (typically at 1000 rpm). An automatic imaging system is used to capture the outline of the lens, while it is rotating, at pre-determined angular orientations. These images are used to quantify the deformations developed in the lens as a consequence of the centripetal forces induced by the rotation. Lens stiffness is inferred using axisymmetric finite element inverse analysis in which a nearly-incompressible neo-Hookean constitutive model is used to represent the mechanics of the lens. A numerical optimisation procedure is used to determine the stiffness parameters that provide a best fit between the finite element model and the experimental data. Sample results are presented for a human lens of age 33 years.
人们普遍认为,晶状体硬度随年龄的变化对远视的发展至关重要。然而,与远视发展的其他潜在机制相比,晶状体硬度随年龄变化的相对重要性的详细信息尚未确定。造成这种不确定性的一个因素是晶状体硬度的实验数据稀缺且具有变异性。现有的已发表数据通常表明,晶状体内部的硬度存在空间变化,并且硬度参数往往随年龄增长而增加。然而,这些已发表数据集在定性和定量方面都存在很大差异。本文描述了新的和改进的方法,这些方法基于 Fisher,R.F.(1971)“人晶状体的弹性常数”,生理学杂志,212,147-180 中首创的旋转透镜方法,用于测量人晶状体的硬度。这些新程序是为了消除或至少大大减少 Fisher 原始实验中的各种系统误差而开发的。已经构建了改进的测试台,并设计了一种新的建模程序,用于从测试过程中的观察结果确定晶状体硬度参数。该实验涉及将人晶状体安装在垂直转台上,使晶状体沿其光轴旋转(通常为 1000 rpm)。自动成像系统用于捕获旋转过程中晶状体轮廓的预确定角度方向的图像。这些图像用于量化由于旋转引起的向心力引起的晶状体变形。使用轴对称有限元反分析推断晶状体硬度,其中使用几乎不可压缩的 neo-Hookean 本构模型来表示晶状体的力学。使用数值优化程序确定提供有限元模型和实验数据之间最佳拟合的刚度参数。为年龄为 33 岁的人晶状体提供了样本结果。