Effect of the natural state of an elastic cellular membrane on tank-treading and tumbling motions of a single red blood cell
Effect of the natural state of an elastic cellular membrane on tank-treading and tumbling motions of a single red blood cell
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DOI：
10.1103/physreve.81.011910
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发表时间：
2010-01-01
影响因子：
2.4
通讯作者：
Wada, Shigeo
中科院分区：
文献类型：
--
作者：
Tsubota, Ken-ichi;Wada, Shigeo
建立了稳态剪切流作用下弹性双凹红细胞（RBC）的二维踏槽运动和翻滚运动的计算机仿真模型。RBC模型由外部细胞膜和内部流体组成;膜的弹性特性由用于拉伸/压缩和弯曲的弹簧建模，以实际方式考虑膜的自然状态。采用质点法将膜变形与红细胞内外流体的不可压缩粘性流动耦合起来。所提出的仿真模型能够再现坦克踩踏和翻滚运动的RBC沿着旋转振荡，这是两种运动之间的过渡。在模拟中，使用相同的初始RBC形状与不同的自然状态的RBC膜，只有坦克踩踏运动的情况下，表现出均匀的自然状态的膜，和非均匀的自然状态是必要的，以产生旋转振荡和翻滚运动。模拟结果与实验和计算研究的数据相一致。在所考虑的模拟参数范围内，当考虑自然状态的非均匀性时，膜弹性力与流体粘性力的相对值在过渡阶段近似为1。自然状态的不均匀性和弹性弹簧常数的组合决定了RBC变形在过渡处的变化是从大的压缩变形到无变形（如刚体）的变化。
A two-dimensional computer simulation model was proposed for tank-treading and tumbling motions of an elastic biconcave red blood cell (RBC) under steady shear flow. The RBC model consisted of an outer cellular membrane and an inner fluid; the membrane's elastic properties were modeled by springs for stretch/compression and bending to consider the membrane's natural state in a practical manner. Membrane deformation was coupled with incompressible viscous flow of the inner and outer fluids of the RBC using a particle method. The proposed simulation model was capable of reproducing tank-treading and tumbling motions of an RBC along with rotational oscillation, which is the transition between the two motions. In simulations using the same initial RBC shape with different natural states of the RBC membrane, only tank-treading motion was exhibited in the case of a uniform natural state of the membrane, and a nonuniform natural state was necessary to generate the rotational oscillation and tumbling motion. Simulation results corresponded to published data from experimental and computational studies. In the range of simulation parameters considered, the relative membrane elastic force versus fluid viscous force was similar to 1 at the transition when the natural state nonuniformity was taken into account in estimating the membrane elastic force. A combination of natural state nonuniformity and elastic spring constant determined that change in the RBC deformation at the transition is that from a large compressive deformation to no deformation, such as rigid body.