模拟肺泡复合物内的涂层流动和表面活性剂动力学
Modeling Coating Flow and Surfactant Dynamics inside the Alveolar Compartment
摘要：
我们推导出一个新的模型的涂层流动内的肺泡室，考虑到肺表面活性物质的生产和回收的2型细胞，以及其降解。由于肺泡涂层的厚度远小于肺泡的平均半径，我们采用经典的润滑近似来描述在肺表面活性剂存在下的薄液膜动力学，肺表面活性剂是一种表面张力降低剂，从而防止肺塌陷。在润滑极限，我们推导出一个退化系统的两个耦合的抛物型偏微分方程，描述的涂层膜的厚度内的肺泡连同在界面处的表面活性剂浓度的时间演化。我们目前的数值模拟使用的参数值与实验测量一致。
英文摘要：
We derive a new model for the coating flow inside the alveolar compartment, taking into account pulmonary surfactant production and recycling by Type 2 cells as well as its degradation. As the thickness of alveolar coating is much smaller than the average radius of the alveoli, we employ the classical lubrication approximation to describe the thin liquid film dynamics in the presence of pulmonary surfactant, which is a surface tension reducing agent and thus prevents the lungs from collapse. In the lubrication limit, we derive a degenerate system of two coupled parabolic partial differential equations that describe the time evolution of the thickness of the coating film inside the alveoli together with that of the surfactant concentration at the interface. We present numerical simulations using parameter values consistent with experimental measurements.
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