Eggleton C D, Popel A S
Department of Biomedical Engineering and Center for Computational Medicine and Biology, Johns Hopkins University School of Medicine, Baltimore, Maryland 21205.
Phys Fluids (1994). 1998 Aug;10(8):1834-1845. doi: 10.1063/1.869703. Epub 1998 Jul 1.
Red blood cells are known to change shape in response to local flow conditions. Deformability affects red blood cell physiological function and the hydrodynamic properties of blood. The immersed boundary method is used to simulate three-dimensional membrane-fluid flow interactions for cells with the same internal and external fluid viscosities. The method has been validated for small deformations of an initially spherical capsule in simple shear flow for both neo-Hookean and the Evans-Skalak membrane models. Initially oblate spheroidal capsules are simulated and it is shown that the red blood cell membrane exhibits asymptotic behavior as the ratio of the dilation modulus to the extensional modulus is increased and a good approximation of local area conservation is obtained. Tank treading behavior is observed and its period calculated.
众所周知，红细胞会根据局部流动条件改变形状。可变形性影响红细胞的生理功能和血液的流体动力学特性。浸入边界法用于模拟内外流体粘度相同的细胞的三维膜-流体流动相互作用。该方法已针对新胡克膜模型和埃文斯-斯卡拉克膜模型在简单剪切流中初始球形胶囊的小变形进行了验证。对初始扁球形胶囊进行了模拟，结果表明，随着膨胀模量与拉伸模量之比的增加，红细胞膜呈现出渐近行为，并且获得了局部面积守恒的良好近似。观察到坦克履带运动行为并计算了其周期。
