细胞挤入狭缝的润滑理论分析

Lubrication Analysis of a Cell Sliding into a Slit

血细胞的入口阻力构成血液循环外周阻力的重要组成部分。本文首次提出一个简化的力学模型,试图探讨细胞挤入二维狭缝的运动特性。本模型的细胞外形根据显微录相设为已知,细胞膜沿其表面滑移。对膜与缝壁间的薄血浆层应用润滑理论,算出压力和剪应力分布,给出了细胞所受阻力。本文得到的细胞运动规律,与显微录相定性一致地模拟了细胞的入口过程。

The resistance to the blood cells at the entrance to pores and slits contributes considerably to the peripheral resistance in the blood circulation. This paper proposes, for the first time, a simplified mechanical model in an attempt to treat the motion of a cell sliding into a two-dimensional slit. In this model, the shape of the cell is taken as given according to the microvideograph and the cell membrane is assumed to slide over its surface. The lubrication theory is applied to the thin layers of plasma between the membrane and the slit wall, yielding the presure and shear stress distributions over the membrane as well as the resultant drag exerted on the cell. Our computations have simulated the process of the cell entering the slits, which is in qualitative agreement with the microvideographic observations.