标题： 一种复合囊泡在线性剪切流中的动力学理论研究 显示英文标题

标题： A theoretical study on the dynamics of a compound vesicle in linear shear flow

摘要： 核细胞在剪切流中的动力学在癌细胞和循环肿瘤细胞中具有重要意义，因为在这些情况下它们主导了血液的动力学。 由于巨型单层囊泡在解释无核细胞（如红细胞）的动力学方面取得了成功，因此提出了复合囊泡作为有核细胞的简单模型。 在本工作中，提出了一种理论模型，使用小变形理论和膜力的高阶近似方法，结合球面谐波来研究复合囊泡在线性剪切流中的变形和动力学。 结果表明，内囊泡的大小不影响外囊泡的坦克履带式动力学。 内囊泡的倾斜角度大于外囊泡。 然而，向颤动摆动和翻滚的转变受到显著影响。 在修改后的粘度-剪切率参数空间的大部分区域，内囊泡和外囊泡表现出相同的动力学。 当内囊泡处于中等尺寸时，观察到内囊泡的摆动模式，而外囊泡表现出翻滚模式。 内囊泡还表现出 TU 模式向 IUS-中间翻滚摆动模式的修改。 此外，在较高内囊泡尺寸下观察到两个囊泡的同步，在较小内囊泡尺寸下的翻滚区域内观察到对毛细管数敏感的运动。 这些结果与 Levant 和 Steinberg 在 2014 年报告的少数实验观察结果一致。 当内囊泡为固体夹杂物时，随着内囊泡尺寸的增加，观察到倾斜角度的减小。 此外，在修改后的粘度-剪切率参数空间中呈现了一个非常详细的相图，这可以在未来的实验或数值模拟中进行验证。 显示英文摘要

摘要： The dynamics of a nucleate cell in shear flow is of great relevance in cancer cells and circulatory tumor cells where they dominate the dynamics of blood. Buoyed by the success of Giant Unilamellar vesicles in explaining the dynamics of anucleate cells such as Red Blood cells, compound vesicles have been suggested as a simple model for nucleate cells. In this work, a theoretical model is presented to study the deformation and dynamics of a compound vesicle in linear shear flow using small deformation theory and spherical harmonics with higher order approximation to the membrane forces. The results indicate that size of the inner vesicle does not affect the tank-treading dynamics of the outer vesicle. The inner vesicle admits a greater inclination angle than the outer vesicle. However, the transition to trembling-swinging and tumbling is significantly affected. The inner and outer vesicle exhibit identical dynamics in most of the modified viscosity-shear rate parameter space. At moderate size of the inner vesicle, a swinging mode is observed for the inner vesicle while the outer vesicle exhibits tumbling. The inner vesicle also exhibits modification of the TU mode to IUS-Intermediate Tumbling Swinging mode. Moreover, synchronization of the two vesicles at higher inner vesicle size and a capillary number sensitive motion at small inner vesicle size is observed in the tumbling regime. These results are in accordance with the few experimental observations reported by Levant and Steinberg2014. A reduction in the inclination angle is observed with an increase in size of the inner vesicle when the inner vesicle is a solid inclusion. Additionally a very elaborate phase diagram is presented in the modified viscosity-shear rate parameter space, which could be tested in future experiments or numerical simulations