Modeling a semi‐flexible filament in cellular Stokes flow using regularized Stokeslets

Modeling a semi‐flexible filament in cellular Stokes flow using regularized Stokeslets
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使用正则化 Stokeslet 对细胞斯托克斯流中的半柔性细丝进行建模

DOI:
10.1002/cnm.1454
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发表时间:
2011
影响因子:
2.1
通讯作者:
Y. Young
Y. Young
中科院分区:
工程技术3区
文献类型:
--
作者:
Elizabeth L. Bouzarth;A. Layton;Y. Young

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许多物理和生物系统涉及浸入流体中的不可伸展的纤维;实例包括纤毛、聚合物悬浮液和肌动蛋白丝运输。在这样的系统中,浸没的纤维的动力学可能在所观察到的宏观流体动力学中起重要作用。在这项研究中,我们模拟了一个近似不可伸展的半柔性纤维浸没在二维细胞背景流的动力学。该系统被建模为一个浸没的边界问题与使用斯托克斯方程描述的流体动力学。浸没的纤维的运动通过正则化Stokeslet的方法来计算,该方法允许计算斯托克斯流体流态中的流体速度、压力和应力,因为正则化点力的集合而不计算底层网格上的流体速度。模拟结果表明,对于某些参数值,纤维可能会在接近驻点时发生屈曲。这些结果提供了深入了解拉伸线圈过渡和宏观尺度的随机行走行为,已在数学和实验文献中报道。版权所有© 2011约翰威利父子有限公司.
Many physical and biological systems involve inextensible fibers immersed in a fluid; examples include cilia, polymer suspensions, and actin filament transport. In such systems, the dynamics of the immersed fibers may play a significant role in the observed macroscale fluid dynamics. In this study, we simulate the dynamics of an approximately inextensible semi‐flexible fiber immersed in a two‐dimensional cellular background flow. The system is modeled as an immersed boundary problem with the fluid dynamics described using the Stokes equations. The motion of the immersed fiber is computed by means of the method of regularized Stokeslets, which allows one to calculate fluid velocity, pressure, and stress in the Stokes fluid flow regime because of a collection of regularized point forces without computing fluid velocities on an underlying grid. Simulation results show that, for some parameter values, the fiber may buckle when approaching a stagnation point. These results provide insight into the stretch–coil transition and macroscale random walk behavior that have been reported in mathematical and experimental literature. Copyright © 2011 John Wiley & Sons, Ltd.
DOI: 10.1021/nl8010885
发表时间: 2008-08-01
期刊: NANO LETTERS
影响因子: 10.8
作者:
Nitta, Takahiro;Tanahashi, Akihito;Hess, Henry
通讯作者: Hess, Henry