Yan Zong-yi, Pan Chun-hui. Lubrication Analysis of a Cell Sliding into a Circular Pore[J]. Applied Mathematics and Mechanics, 1990, 11(4): 311-318.
 Citation: Yan Zong-yi, Pan Chun-hui. Lubrication Analysis of a Cell Sliding into a Circular Pore[J]. Applied Mathematics and Mechanics, 1990, 11(4): 311-318.

# Lubrication Analysis of a Cell Sliding into a Circular Pore

• Received Date: 1989-01-16
• Publish Date: 1990-04-15
• 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 lime, 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.
•  [1] 严宗毅,红细胞在毛细血管中的流动和变形,力学与实践.3, 2 (1981), 4-9. [2] 严宗毅、董立奇、钱民全、翁维良、王怡,用核孔滤膜在等负压条件下研究红细胞变形能力的理论分析,中国生物医学工程学报,8, 2 (1989), 86-95. [3] 潘春晖、严宗毅,细胞挤入狭缝的润滑理论分析,北京大学学报(自然科学版),1 (1990). [4] Secomb,T.W.,R.Skalak,N.Özkaya and J.F.Gross,Flow of axisymmetric red blood cells in narrow capillaries,J.Fluid Mech.,163(1986),405-423. [5] Caro,C.G.,T.J.Pedley,R.C.Schroter and W.A.Seed,The Mechanics of the Circulation,Oxford University Press(1978). [6] 吴望一,《流体力学》,下册,北京大学出版社(1983).

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