Functional effects of the spatial-varying lens mechanical properties in accommodation

Justin Schumacher, Raymundo Rodriguez López, Kirill Larin, F. Manns, G. Scarcelli
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Abstract

Lens biomechanical properties are critical for our eyes to accommodate. While it’s well understood that lens mechanical properties change with age, different experimental techniques have been used over the years, with varying results on how the lens modulus changes. In this study, we developed a spatial-varying elasticity model to characterize the overall elastic modulus of the lens and establish its effect on accommodation. First, to validate the model, ex vivo porcine lenses underwent compression testing using biopsy punches of different diameter to change the percentage of nucleus within samples. Importantly, we found that, indeed, changing nucleus/cortex spatial ratio produces dramatic (~7-fold) increase in overall sample modulus. Next, in vivo clinical measurements of the spatial-varying lens modulus were used to generate a simplified mechanical-optical model of accommodation. We defined a paraboloid lens with patient-derived modulus and geometry measurements, and a statics simulation and ray tracing analysis was performed through the deformed and undeformed lens. The resulting accommodation estimates agree with general accommodation expectations.
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空间变化的晶状体机械特性对调节的功能影响
晶状体的生物力学特性对我们眼睛的适应性至关重要。虽然人们都知道晶状体的机械特性会随着年龄的增长而改变,但多年来人们使用了不同的实验技术,对晶状体模量如何变化的结果也不尽相同。在这项研究中,我们建立了一个空间变化弹性模型来描述晶状体的整体弹性模量,并确定其对适应性的影响。首先,为了验证该模型,我们使用不同直径的活检穿刺器对活体猪晶状体进行了压缩测试,以改变样本中晶状体核的百分比。重要的是,我们发现,改变晶核/晶状体的空间比例确实会使整体样本模量大幅增加(约 7 倍)。接下来,我们利用对空间变化晶状体模量的活体临床测量来生成一个简化的调节机械光学模型。我们利用患者得出的模量和几何测量值定义了抛物面晶状体,并通过变形和未变形的晶状体进行了静力学模拟和光线追踪分析。得出的调节估算结果与一般调节预期结果一致。
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