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视网膜弹性特性的数学建模:杨氏模量的测定

Mathematical modelling of the elastic properties of retina: a determination of Young's modulus.

作者信息

Jones I L, Warner M, Stevens J D

机构信息

Cavendish Laboratory, Cambridge, UK.

出版信息

Eye (Lond). 1992;6 ( Pt 6):556-9. doi: 10.1038/eye.1992.121.

DOI:10.1038/eye.1992.121
PMID:1289130
Abstract

The retina can be regarded as an elastic membrane or sheet which stretches and deforms when a force is applied to it. Isolated bovine retina was taken and a graded traction force applied to determine retinal profile as a function of force. The resulting profile can be modelled mathematically and the model then used to determine a value for the elastic constant. The value of the elastic constant obtained by this method is approximately 2 N/m. This value of the elastic constant, combined with the observed retinal thickness, yields a value of Young's modulus for retina of approximately 2 x 10(4) Pa, which is about 2 orders of magnitude weaker than typical rubber. This value can then be used in modelling retinal behaviour in vivo when forces are applied to detached retina.

摘要

视网膜可被视为一种弹性膜或薄片,当有外力作用于其上时,它会伸展并变形。取出分离的牛视网膜,并施加分级牵引力以确定视网膜轮廓与力的函数关系。所得轮廓可用数学方法建模,然后使用该模型来确定弹性常数的值。通过这种方法获得的弹性常数约为2 N/m。该弹性常数的值与观察到的视网膜厚度相结合,得出视网膜的杨氏模量约为2×10⁴ Pa,比典型橡胶弱约2个数量级。然后,当外力作用于脱离的视网膜时,该值可用于体内视网膜行为的建模。

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