Li Longfei, Braun R J, Henshaw W D, King-Smith P E
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy NY, 12180, USA.
Department of Mathematical Sciences, University of Delaware, Newark, DE 19711, USA.
Math Med Biol. 2018 Mar 16;35(suppl_1):51-85. doi: 10.1093/imammb/dqx011.
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.
荧光素可能是用于观察泪膜厚度和动态变化最常用的物质;更好地理解这一过程有助于理解困扰数百万人的干眼症综合征。我们研究了一个数学模型,用于模拟瞬目间隔期间暴露眼表面上泪膜的流动、蒸发、溶质传输和荧光情况。泪膜中流体流动导致的荧光素离子传输,通过浓度和泪膜厚度的变化影响荧光强度。蒸发会导致眼表面渗透压升高和潜在刺激;它还会改变荧光素浓度,进而影响荧光。利用体内测量得到的变薄速率以及多种溶质流动和传输的薄膜方程,我们计算了感兴趣的泪膜量的动态结果。我们将计算得到的荧光强度分布与体内观察结果进行了比较。该模型重现了许多实验特征。