Lubrication analysis of a cell sliding into a circular pore

The resistance to the blood cells at the entrance to capillaries and membrane pores 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 axisymmetric motion of a cell sliding into a circular pore. 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 pore wall, yielding the pressure 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 pore, which is in qualitative agreement with the microvideographic observations.The Project Supported by National Natural Science Foundation of China.The authors wish to express their thanks to Professor S. Weinbaum of The City University of New York for his enlightening suggestions on the mechanical model of this problem during his visit to Peking University. The authors are also grateful to Professor Li Gui-shan of Institute of blood. The Chinese Academy of Medical Sciences, for providing the relevant microvideographes.     

LUBRICATION ANALYSIS OF A CELL SLIDING INTO A CIRCULAR PORE

The resistance to the blood cells at the entrance to capillaries and membrane porescontributes considerably to the peripheral resistance in the blood circulation.This paperproposes,for the first time,a simplified mechanical model in an attempt to treat theaxisymmetric motion of a cell sliding into a circular pore.In this model,the shape of the cellis taken as given according to the microvideograph and the cell membrane is assumed toslide over its surface.The lubrication theory is applied to the thin layers of plasma betweenthe membrane and the pore wall,yielding the pressure and shear stress distributions over themembrane as well as the resultant drag exerted on the cell.Our computations havesimulated the process of the cell entering the pore,which is in qualitative agreement with themicrovideographic observations.     

细胞挤入圆孔的润滑理论分析

血细胞在毛细血管和膜孔入口处所受到的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,试图探讨细胞挤入圆孔的轴对称运动特性.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.对膜与孔壁间的薄血浆层应用润滑理论,算出压力和剪应力分布,给出了细胞所受的阻力,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孔过程.