论文标题
眼睛生长和弹性的外壳模型
A shell model of eye growth and elasticity
论文作者
论文摘要
眼睛在童年时期生长，将视网膜定位在镜头后面的正确距离上，以实现聚焦视觉，这一过程称为弹性化。动物研究表明，这种生长过程取决于视觉刺激，而影响肌无力发展可能性的遗传和环境因素也已被鉴定出来。眼睛中生长，重塑和弹性反应之间的耦合特别具有挑战性。为了分析这种耦合，我们开发了一个简单的模型，以响应视觉刺激而在眼内压力下生长的眼睛。与现有的眼睛的三维有限元模型不同，我们将巩膜视为薄的轴对称性超弹性壳，该壳会响应外部刺激而经历局部生长。这种简化的分析模型提供了一个可进行的框架框架，在该框架中，可以评估各种弹性化假设并理解不同类型的增长反馈，我们通过证明局部生长法则足以调整跨参数值的局部生长法的全球大小和眼睛的全球大小和形状。
The eye grows during childhood to position the retina at the correct distance behind the lens to enable focused vision, a process called emmetropization. Animal studies have demonstrated that this growth process is dependent upon visual stimuli, while genetic and environmental factors that affect the likelihood of developing myopia have also been identified. The coupling between growth, remodeling and elastic response in the eye is particularly challenging to understand. To analyse this coupling, we develop a simple model of an eye growing under intraocular pressure in response to visual stimuli. Distinct to existing three-dimensional finite-element models of the eye, we treat the sclera as a thin axisymmetric hyperelastic shell which undergoes local growth in response to external stimulus. This simplified analytic model provides a tractable framework in which to evaluate various emmetropization hypotheses and understand different types of growth feedback, which we exemplify by demonstrating that local growth laws are sufficient to tune the global size and shape of the eye for focused vision across a range of parameter values.
