当前位置: X-MOL 学术Math. Med. Biol. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Mathematical modelling of glob-driven tear film breakup.
Mathematical Medicine and Biology ( IF 1.1 ) Pub Date : 2019-03-14 , DOI: 10.1093/imammb/dqx021
L Zhong 1 , C F Ketelaar 1 , R J Braun 1 , C G Begley 2 , P E King-Smith 3
Affiliation  

Evaporation is a recognized contributor to tear film thinning and tear breakup (TBU). Recently, a different type of TBU is observed, where TBU happens under or around a thick area of lipid within a second after a blink. The thick lipid corresponds to a glob. Evaporation alone is too slow to offer a complete explanation of this breakup. It has been argued that the major reason of this rapid tear film thinning is divergent flow driven by a lower surface tension of the glob (via the Marangoni effect). We examine the glob-driven TBU hypothesis in a 1D streak model and axisymmetric spot model. In the model, the streak or spot glob has a localized high surfactant concentration, which is assumed to lower the tear/air surface tension and also to have a fixed size. Both streak and spot models show that the Marangoni effect can lead to strong tangential flow away from the glob and may cause TBU. The models predict that smaller globs or thinner films will decrease TBU time (TBUT). TBU is located underneath small globs, but may occur outside larger globs. In addition to tangential flow, evaporation can also contribute to TBU. This study provides insights about mechanism of rapid thinning and TBU which occurs very rapidly after a blink and how the properties of the globs affect the TBUT.

中文翻译:

球驱动泪膜破裂的数学模型。

蒸发是公认的导致泪膜变薄和泪液破裂(TBU)的因素。最近,观察到一种不同类型的 TBU,其中 TBU 在眨眼后一秒内发生在厚脂质区域下方或周围。浓稠的脂质相当于一个球。仅凭蒸发速度太慢,无法对这种分解提供完整的解释。有人认为,泪膜快速变薄的主要原因是泪滴表面张力较低(通过马兰戈尼效应)驱动的发散流。我们在一维条纹模型和轴对称点模型中检验了全局驱动的 TBU 假设。在模型中,条纹或斑点球具有局部高表面活性剂浓度,假定这会降低撕裂/空气表面张力并且也具有固定的尺寸。条纹和斑点模型都表明,马兰戈尼效应会导致强烈的切向流远离球体,并可能导致 TBU。模型预测较小的球体或较薄的薄膜将缩短 TBU 时间 (TBUT)。TBU 位于小球体下方,但也可能出现在较大球体之外。除了切向流之外,蒸发也会对 TBU 产生影响。这项研究提供了有关眨眼后快速变细和 TBU 的机制以及球体特性如何影响 TBUT 的见解。
更新日期:2019-11-01
down
wechat
bug