On tear film breakup (TBU): dynamics and imaging.

IF 0.8 4区 数学 Q4 BIOLOGY
Richard J Braun, Tobin A Driscoll, Carolyn G Begley, P Ewen King-Smith, Javed I Siddique
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引用次数: 21

Abstract

We report the results of some recent experiments to visualize tear film dynamics. We then study a mathematical model for tear film thinning and tear film breakup (TBU), a term from the ocular surface literature. The thinning is driven by an imposed tear film thinning rate which is input from in vivo measurements. Solutes representing osmolarity and fluorescein are included in the model. Osmolarity causes osmosis from the model ocular surface, and the fluorescein is used to compute the intensity corresponding closely to in vivo observations. The imposed thinning can be either one-dimensional or axisymmetric, leading to streaks or spots of TBU, respectively. For a spatially-uniform (flat) film, osmosis would cease thinning and balance mass lost due to evaporation; for these space-dependent evaporation profiles TBU does occur because osmolarity diffuses out of the TBU into the surrounding tear film, in agreement with previous results. The intensity pattern predicted based on the fluorescein concentration is compared with the computed thickness profiles; this comparison is important for interpreting in vivo observations. The non-dimensionalization introduced leads to insight about the relative importance of the competing processes; it leads to a classification of large vs small TBU regions in which different physical effects are dominant. Many regions of TBU may be considered small, revealing that the flow inside the film has an appreciable influence on fluorescence imaging of the tear film.

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泪膜破裂(TBU):动力学和成像。
我们报告了最近一些实验的结果,以可视化泪膜动力学。然后,我们研究了泪膜变薄和泪膜破裂(TBU)的数学模型,这是眼表文献中的一个术语。减薄是由施加的泪膜减薄率驱动的,该减薄率是从体内测量输入的。模型中包括代表渗透压和荧光素的溶质。渗透性引起模型眼表面的渗透,荧光素用于计算与体内观察结果密切对应的强度。所施加的减薄可以是一维的或轴对称的,分别导致TBU的条纹或斑点。对于空间均匀(平坦)的膜,渗透作用将停止变薄,并平衡由于蒸发而损失的质量;对于这些依赖于空间的蒸发轮廓,TBU确实发生,因为渗透压从TBU扩散到周围的泪膜中,这与先前的结果一致。将基于荧光素浓度预测的强度模式与计算的厚度分布进行比较;这种比较对于解释体内观察结果非常重要。引入的非维度化使人们对竞争过程的相对重要性有了深刻的认识;它导致了大与小TBU区域的分类,其中不同的物理效应占主导地位。TBU的许多区域可以被认为是小的,这表明膜内的流动对泪膜的荧光成像有明显的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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