Fluorescein is perhaps the most commonly used substance to visualize tear film thickness and dynamics; better understanding of this process aids understanding of dry eye syndrome which afflicts millions of people. We study a mathematical model for tear film flow, evaporation, solutal transport and fluorescence over the exposed ocular surface during the interblink. Transport of the fluorescein ion by fluid flow in the tear film affects the intensity of fluorescence via changes in concentration and tear film thickness. Evaporation causes increased osmolarity and potential irritation over the ocular surface; it also alters fluorescein concentration and thus fluorescence. Using thinning rates from in vivo measurements together with thin film equations for flow and transport of multiple solutes, we compute dynamic results for tear film quantities of interest. We compare our computed fluorescent intensity distributions with in vivo observations. A number of experimental features are recovered by the model.

中文翻译：

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计算眼表上的血流和荧光。

荧光素也许是最常用于可视化泪膜厚度和动力学的物质。更好地了解此过程有助于了解困扰数百万人的干眼症。我们研究了在眨眼期间泪膜流动，蒸发，稀释液运输和荧光在裸露眼表上的数学模型。泪液中流体流动引起的荧光素离子的转运通过浓度和泪膜厚度的变化影响荧光强度。蒸发会导致渗透压增加，并可能刺激眼表；它还会改变荧光素的浓度，从而改变荧光。将体内测量的稀释率与薄膜方程式结合使用，以进行多种溶质的流动和传输，我们计算感兴趣的泪膜数量的动态结果。我们将计算的荧光强度分布与体内观察结果进行比较。该模型恢复了许多实验特征。