THE SQUEEZING OF RED-BLOOD-CELLS THROUGH PARALLEL-SIDED CHANNELS WITH NEAR-MINIMAL WIDTHS
THE SQUEEZING OF RED-BLOOD-CELLS THROUGH PARALLEL-SIDED CHANNELS WITH NEAR-MINIMAL WIDTHS
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DOI：
10.1017/s0022112092003082
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发表时间：
1992-11-01
影响因子：
3.7
通讯作者：
SECOMB, TW
中科院分区：
文献类型：
--
作者：
HALPERN, D;SECOMB, TW
本文分析了红细胞在两平行平板间的运动和变形。该运动由周围流体中施加的压力梯度驱动。哺乳动物的红细胞是高度柔性的，但在恒定体积下变形，因为细胞的内容物是不可压缩的，并且在几乎恒定的表面积下变形，因为膜强烈抵抗扩张。因此，平板之间存在最小间距，低于该间距，完整细胞不可能通过。我们考虑比这个最小值稍大的间距。在这种情况下，细胞的形状是具有圆形边缘的圆盘。使用润滑理论描述周围流体的流动。在近似下，板之间的距离是小的细胞的直径相比，细胞的形状，压力分布，膜应力和细胞的速度推导出的几何参数的函数。据发现，细胞和板之间的狭窄的间隙是不均匀的宽度，并作为一个结果，膜剪切应力产生的流速成比例增加。这与轴对称构型形成对比，在轴对称构型中，膜剪切应力随着细胞速度的增加而保持有界。细胞的速度与板的间距的变化是类似的，以前证明了相应尺寸的刚性盘状颗粒。
An analysis of the motion and deformation of red blood cells between two parallel flat plates is presented. The motion is driven by an imposed pressure gradient in the surrounding fluid. Mammalian red cells are highly flexible, but deform at constant volume because the contents of the cell are incompressible, and at nearly constant surface area because the membrane strongly resists dilatation. Consequently, a minimum spacing between the plates exists, below which passage of intact cells is not possible. We consider spacings slightly larger than this minimum. The shape of the cell in this case is a disk with a rounded edge. The flow of the surrounding fluid is described using lubrication theory. Under the approximation that the distance between the plates is small compared with the cell diameter, cell shapes, pressure distributions, membrane stresses and cell velocities are deduced as functions of geometrical parameters. It is found that the narrow gaps between the cell and the plate are not uniform in width, and that as a result, membrane shear stresses are generated which increase in proportion to flow velocity. This contrasts with axisymmetric configurations, in which membrane shear stress remains bounded as cell velocity increases. The variation of cell velocity with spacing of the plates is similar to that previously demonstrated for rigid disk-shaped particles of corresponding dimensions.