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An improved spinning lens test to determine the stiffness of the human lens

机译:改进的旋转镜片测试以确定人眼镜片的刚度

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摘要

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.
机译:人们普遍认为,与年龄相关的晶状体硬度变化对于老花眼的发生具有重要意义。然而,与老花眼发展的其他潜在机制相比,与年龄相关的晶状体刚度变化的相对重要性的精确细节尚未确定。导致这种不确定性的一个因素是镜片硬度实验数据的缺乏和多变性。可获得的公开数据通常表明刚度在晶状体内在空间上变化,并且刚度参数倾向于随着年龄而增加。但是,这些发布的数据集在质量和数量上都存在相当大的差异。本论文基于由Fisher,R.F.率先提出的旋转透镜方法描述了新的和改进的方法。 (1971年)“人类晶状体的弹性常数”,《生理学杂志》,第212页,第147-180页,以测量人类晶状体的刚度。开发这些新程序的目的是消除或至少实质上减少Fisher原始实验中的各种系统错误。建造了改进的测试台,并设计了一种新的建模程序,用于根据测试期间的观察结果确定镜片刚度参数。实验包括将人像镜头安装在垂直转子上,以使镜头沿其光轴旋转(通常以1000 rpm)。自动成像系统用于在镜头旋转时以预定角度方向捕获镜头轮廓。这些图像用于量化由于旋转引起的向心力而在镜片中产生的变形。使用轴对称有限元逆分析可以推断出镜片的刚度,在该分析中,几乎不可压缩的新霍克本构模型用于表示镜片的力学性能。数值优化程序用于确定刚度参数,以在有限元模型和实验数据之间提供最佳拟合。给出了33岁人类晶状体的样品结果。

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