Objective: The human visual system alters its focus by a shape change of the eye lens. The extent to which the lens can adjust ocular refractive power is dependent to a significant extent on its material properties. Yet, this fundamental link between the optics and mechanics of the lens has been relatively under-investigated. This study aims to investigate this opto-mechanical link within the eye lens to gain insight into the processes of shape alteration and their respective decline with age. Methods: Finite Element models based on biological lenses were developed for five ages: 16, 35, 40, 57, and 62 years by correlating in vivo measurements of the longitudinal modulus using Brillouin scattering with in vitro X-ray interferometric measurements of refractive index and taking into account various directions of zonular force. Results: A model with radial cortical Young's moduli provides the same amount of refractive power with less change in thickness than a model with uniform cortical Young's modulus with a uniform stress distribution and no discontinuities along the cortico-nuclear boundary. The direction of zonular angles can significantly influence curvature change regardless of the modulus distribution. Conclusions: The present paper proposes a modelling approach for the human lens, coupling optical and mechanical properties, which shows the effect of parameter choice on model response. Significance: This advanced modelling approach, considering the important interplay between optical and mechanical properties, has potential for use in design of accommodating implant lenses and for investigating non-biological causes of pathological processes in the lens (e.g., cataract).

中文翻译：

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一种用于研究人眼镜片中光机关系的建模方法

目的：人类视觉系统通过眼睛晶状体的形状变化来改变其焦点。晶状体可以调节眼屈光力的程度在很大程度上取决于其材料特性。然而，镜头的光学和机械之间的这种基本联系相对没有得到充分研究。本研究旨在研究眼睛晶状体内的这种光机械联系，以深入了解形状改变的过程及其随年龄增长的衰退。方法：通过将使用布里渊散射的纵向模量的体内测量与折射率和折射率的体外 X 射线干涉测量相关联，开发了基于生物晶状体的有限元模型，适用于五个年龄：16、35、40、57 和 62 岁。考虑到小带力的各个方向。结果：与具有均匀皮质杨氏模量、均匀应力分布且沿皮质核边界没有不连续性的模型相比，具有径向皮层杨氏模量的模型可提供相同数量的屈光力，但厚度变化较小。无论模量分布如何，小带角的方向都会显着影响曲率变化。结论：本文提出了一种人眼晶状体的建模方法，耦合光学和机械特性，它显示了参数选择对模型响应的影响。意义：考虑到光学和机械特性之间重要的相互作用，这种先进的建模方法有可能用于设计可调节的植入晶状体和研究晶状体病理过程的非生物原因（例如，