Jones M B, Please C P, McElwain D L S, Fulford G R, Roberts A P, Collins M J
School of Mathematical Sciences, Queensland University of Technology, Australia.
Math Med Biol. 2005 Sep;22(3):265-88. doi: 10.1093/imammb/dqi012. Epub 2005 Jul 12.
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear film is laid down by the motion of the upper eyelid and then subsequently flows and thins. Of particular interest is the stability of the tear layer and the development of dry patches on the cornea. While there has been significant research on the behaviour of tear films between blinks, this paper focuses on understanding the mechanisms which control the shape and thickness of the deposited film and how this affects the subsequent film behaviour. Numerical and analytical methods are applied to a lubrication model which includes the effects of surface tension, viscosity, gravity and evaporation. The model reveals the importance of the eyelid velocity, motion of the surface lipid layer and the storage of tear film between blinks.
本文研究泪膜在人眼角膜上的沉积情况。泪膜由上眼睑的运动形成，随后流动并变薄。特别值得关注的是泪层的稳定性以及角膜上干燥斑块的形成。虽然对于眨眼之间泪膜的行为已有大量研究，但本文重点在于理解控制沉积膜形状和厚度的机制，以及这如何影响后续的泪膜行为。数值和分析方法被应用于一个润滑模型，该模型考虑了表面张力、粘度、重力和蒸发的影响。该模型揭示了眼睑速度、表面脂质层运动以及眨眼之间泪膜储存的重要性。
