Parameter Estimation for Evaporation-Driven Tear Film Thinning

Parameter Estimation for Evaporation-Driven Tear Film Thinning
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蒸发驱动泪膜变薄的参数估计

DOI:
10.1007/s11538-020-00745-8
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发表时间:
2020
影响因子:
3.5
通讯作者:
Awisi-Gyau, Deborah
Awisi-Gyau, Deborah
中科院分区:
数学4区
文献类型:
--
作者:
Luke, Rayanne A.;Braun, Richard J.;Driscoll, Tobin A.;Begley, Carolyn G.;Awisi-Gyau, Deborah

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许多参数会影响泪膜厚度和荧光强度随时间的分布;一些参数的确切值或范围并不清楚。我们通过拟合正常受试者泪膜记录的荧光强度数据进行参数估计。用薄膜流体动力学模型进行拟合,所述模型是用于圆形(斑点)或线性(条纹)泪膜破裂的泪膜的厚度、渗透压和荧光素浓度的非线性偏微分方程模型。根据泪膜厚度和荧光素浓度计算相应的荧光强度。计算的和实验的荧光强度之间的最小平方误差确定的参数。结果因受试者和试验而异。在泪膜破裂中不能在体内测量的变量的最佳值通常落在相关泪膜动力学的可接受的实验范围内;然而,一些情况表明更宽范围的参数值可能是可接受的。
Many parameters affect tear film thickness and fluorescent intensity distributions over time; exact values or ranges for some are not well known. We conduct parameter estimation by fitting to fluorescent intensity data recorded from normal subjects’ tear films. The fitting is done with thin film fluid dynamics models that are nonlinear partial differential equation models for the thickness, osmolarity and fluorescein concentration of the tear film for circular (spot) or linear (streak) tear film breakup. The corresponding fluorescent intensity is computed from the tear film thickness and fluorescein concentration. The least squares error between computed and experimental fluorescent intensity determines the parameters. The results vary across subjects and trials. The optimal values for variables that cannot be measured in vivo within tear film breakup often fall within accepted experimental ranges for related tear film dynamics; however, some instances suggest that a wider range of parameter values may be acceptable.
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