Computed tear film and osmolarity dynamics on an eye-shaped domain.
Computed tear film and osmolarity dynamics on an eye-shaped domain.
复制标题
计算眼形域上的泪膜和渗透压动态。
DOI：
10.1093/imammb/dqv013
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
King-Smith,PEwen
中科院分区：
文献类型：
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作者：
Li,Longfei;Braun,RichardJ;Driscoll,TobinA;Henshaw,WilliamD;Banks,JeffreyW;King-Smith,PEwen
泪膜中的离子浓度或渗透压是理解干眼症症状和疾病的关键变量。在这篇手稿中，我们推导出一个数学模型，耦合渗透压（作为一个单一的溶质处理）和流体动力学在泪膜上的2D眼形域。该模型包括蒸发、表面张力、粘度、眼表润湿性、渗透压、渗透和泪液供应和排出的物理效应。耦合的非线性偏微分方程的控制系统的解决方案使用的序曲计算框架，连同一个混合时间步进计划，使用可变步长向后微分公式和龙格库塔-切比雪夫方法，被添加到框架。我们的数值模拟的结果提供了新的见解渗透压分布在眼表在眨眼间。
The concentration of ions, or osmolarity, in the tear film is a key variable in understanding dry eye symptoms and disease. In this manuscript, we derive a mathematical model that couples osmolarity (treated as a single solute) and fluid dynamics within the tear film on a 2D eye-shaped domain. The model includes the physical effects of evaporation, surface tension, viscosity, ocular surface wettability, osmolarity, osmosis and tear fluid supply and drainage. The governing system of coupled non-linear partial differential equations is solved using the Overture computational framework, together with a hybrid time-stepping scheme, using a variable step backward differentiation formula and a Runge–Kutta–Chebyshev method that were added to the framework. The results of our numerical simulations provide new insight into the osmolarity distribution over the ocular surface during the interblink.