The influence of a lipid reservoir on the tear film formation
The influence of a lipid reservoir on the tear film formation
复制标题
脂质库对泪膜形成的影响
DOI：
10.1093/imammb/dqz018
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
Barron, Gregory A
中科院分区：
文献类型：
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作者：
Maki, Kara L;Braun, Richard J;Barron, Gregory A
我们提出了一个数学模型来研究通过实验观察到的眼睑边缘脂质库对部分眨眼期间泪膜形成和松弛的影响。应用润滑极限，我们推导出两个耦合的非线性偏微分方程，表征水性泪液和覆盖不溶性脂质浓度的演变。与之前的工作不同，我们探索了一组新的边界条件（BC），以在盖子边缘强制执行假设的脂质浓度动态。使用数值和分析方法，我们发现以脂质为中心的BC强烈影响泪膜形成和变薄率。具体来说，在眼睑上行期间，我们发现指定眼睑边缘的脂质浓度会加速变薄。确定导致泪膜形成成功或失败的参数范围。更重要的是，这项工作扩展了我们对眼睑边缘附近脂质动力学对泪膜形成影响的理解。
We present a mathematical model to study the influence of a lipid reservoir, seen experimentally, at the lid margin on the formation and relaxation of the tear film during a partial blink. Applying the lubrication limit, we derive two coupled non-linear partial differential equations characterizing the evolution of the aqueous tear fluid and the covering insoluble lipid concentration. Departing from prior works, we explore a new set of boundary conditions (BCs) enforcing hypothesized lipid concentration dynamics at the lid margins. Using both numerical and analytical approaches, we find that the lipid-focused BCs strongly impact tear film formation and thinning rates. Specifically, during the upstroke of the eyelid, we find specifying the lipid concentration at the lid margin accelerates thinning. Parameter regimes that cause tear film formation success or failure are identified. More importantly, this work expands our understanding of the consequences of lipid dynamics near the lid margins for tear film formation.