论文标题
混合机制撕裂膜变薄的参数估计
Parameter Estimation for Mixed-Mechanism Tear Film Thinning
论文作者
论文摘要
泪液破裂的病因包括蒸发驱动的,发散的流动驱动以及这两者的组合。结合蒸发和脂质驱动的切向流的数学模型适合荧光成像数据。假设脂质驱动的运动是由局部过量的脂质或“地球”引起的。当前无法在分解过程中直接测量诸如蒸发率和切向流速之类的撕裂量。我们通过拟合分解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来确定此类变量。参数估计是通过使用信任区域反射或Levenberg-Marquardt算法最小二乘实验数据和计算答案之间差异的最小化来进行的。撕裂分解参数的最佳拟合确定支持以下观点:蒸发和分歧的切向流可以配合以驱动破裂。所得的破裂通常比纯粹的蒸发病例更快。许多破裂破裂实例可能有类似的原因,这表明对实验结果的解释可能会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.