Sugihara M
Biorheology. 1985;22(1):1-19. doi: 10.3233/bir-1985-22101.
The motion and deformation of a single red blood cell in a simple shear flow between two parallel walls is studied theoretically. A two-dimensional deformable microcapsule is adopted as a model for the cell, which has a thin moving membrane, like a tank-tread, around the interior and is deformed into an elliptical shape with a constant area. Applying the finite element method to the Stokes equations, the tank-tread motion and deformation is determined in a stationary motion, under fluid dynamic interaction between the cell and the walls. It is shown that the motion and deformation of the microcapsule crucially depends on the channel width between the two walls. As the width decreases, the microcapsule is more elongated and the frequency of tank-tread motion decreases at a constant shear rate. In addition, the angle of inclination decreases at the low range of the viscosity ratio of internal to external fluids and increases at the high range. The results obtained are compared with experimental observations and applied to the behavior of cells under mutual interaction.
从理论上研究了单个红细胞在两个平行壁之间的简单剪切流中的运动和变形。采用二维可变形微囊作为细胞模型，该微囊在内部有一层像履带一样的薄运动膜，并且在面积不变的情况下变形为椭圆形。将有限元方法应用于斯托克斯方程，在细胞与壁之间的流体动力相互作用下，确定了履带式运动和变形在稳态运动中的情况。结果表明，微囊的运动和变形关键取决于两壁之间的通道宽度。随着宽度减小，微囊变得更加细长，并且在恒定剪切速率下履带式运动的频率降低。此外，在内部流体与外部流体的粘度比的低范围内倾斜角减小，而在高范围内增大。将所得结果与实验观察结果进行比较，并应用于细胞在相互作用下的行为。
