Parameter Estimation for Mixed-Mechanism Tear Film Thinning
Parameter Estimation for Mixed-Mechanism Tear Film Thinning
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DOI：
10.1007/s11538-021-00871-x
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发表时间：
2020-10
影响因子：
3.5
通讯作者：
Rayanne A. Luke;R. Braun;T. Driscoll;Deborah Awisi-Gyau;C. Begley
中科院分区：
文献类型：
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作者：
Rayanne A. Luke;R. Braun;T. Driscoll;Deborah Awisi-Gyau;C. Begley
泪液破裂的病因包括蒸发驱动、发散流驱动以及这两者的结合。结合蒸发和脂质驱动的切向流动的数学模型适合于荧光成像数据。脂质驱动的运动被假设是由局部过量的脂质或“球”引起的。撕裂破裂的数量，如蒸发速率和切向流速率目前不能直接测量在破裂。我们通过将泪液破裂的数学模型和计算的荧光强度与体内收集的实验强度数据相拟合来确定这些变量。参数估计是通过使用trust-region-reflective或Levenberg-Marquardt算法对实验数据和计算答案之间的差异进行最小二乘最小化来进行的。撕裂破裂参数的最佳拟合确定支持蒸发和发散切向流可以合作驱动破裂的概念。由此产生的泪液破裂通常比纯粹蒸发的情况要快。许多泪液破裂的例子可能有相似的原因，这表明对实验结果的解释可能受益于考虑多种机制。
Etiologies of tear breakup include evaporation-driven, divergent flow-driven, and a combination of these two. A mathematical model incorporating evaporation and lipid-driven tangential flow is fit to fluorescence imaging data. The lipid-driven motion is hypothesized to be caused by localized excess lipid, or “globs.” Tear breakup quantities such as evaporation rates and tangential flow rates cannot currently be directly measured during breakup. We determine such variables by fitting mathematical models for tear breakup and the computed fluorescent intensity to experimental intensity data gathered in vivo. Parameter estimation is conducted via least squares minimization of the difference between experimental data and computed answers using either the trust-region-reflective or Levenberg–Marquardt algorithm. Best-fit determination of tear breakup parameters supports the notion that evaporation and divergent tangential flow can cooperate to drive breakup. The resulting tear breakup is typically faster than purely evaporative cases. Many instances of tear breakup may have similar causes, which suggests that interpretation of experimental results may benefit from considering multiple mechanisms.