A boundary element regularized Stokeslet method applied to cilia- and flagella-driven flow
A boundary element regularized Stokeslet method applied to cilia- and flagella-driven flow
复制标题
应用于纤毛和鞭毛驱动流的边界元正则化 Stokeslet 方法
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
David J. Smith
中科院分区：
文献类型：
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作者：
David J. Smith
Cortez 正则化 Stokeslet 方法的边界元实现应用于生物学中纤毛和鞭毛驱动的流。先前发布的方法隐式地结合了力离散化和用于评估边界积分的数值求积。相比之下，边界元法可以通过使用基函数离散化力并使用精确的数值或解析积分计算积分来实现。这大大削弱了力的网格尺寸与正则化参数的耦合，并大大减少了所需的自由度数量。当将纤毛或鞭毛建模为一维细丝时，正则化参数可以被视为身体半径的代理，而不是用于最小化数值误差的参数。对一片纤毛进行建模，发现：（i）对于固定数量的纤毛，减少纤毛间距会减少运输，（ii）对于固定的纤毛尺寸，增加纤毛数量会增加运输，直至达到 9×9 纤毛的稳定状态。通过对领鞭毛细胞进行建模，发现 lorica 结构的存在会显着影响 lorica 外部的运输和流动，但不会显着改变鞭毛所承受的力。
A boundary element implementation of the regularized Stokeslet method of Cortez is applied to cilia and flagella-driven flows in biology. Previously published approaches implicitly combine the force discretization and the numerical quadrature used to evaluate boundary integrals. By contrast, a boundary element method can be implemented by discretizing the force using basis functions, and calculating integrals using accurate numerical or analytic integration. This substantially weakens the coupling of the mesh size for the force and the regularization parameter, and greatly reduces the number of degrees of freedom required. When modelling a cilium or flagellum as a one-dimensional filament, the regularization parameter can be considered a proxy for the body radius, as opposed to being a parameter used to minimize numerical errors. Modelling a patch of cilia, it is found that: (i) for a fixed number of cilia, reducing cilia spacing reduces transport, (ii) for fixed patch dimension, increasing cilia number increases the transport, up to a plateau at 9×9 cilia. Modelling a choanoflagellate cell, it is found that the presence of a lorica structure significantly affects transport and flow outside the lorica, but does not significantly alter the force experienced by the flagellum.
影响因子：
8.6
作者：
L. Cisneros;J. Kessler;Ricardo Ortiz;R. Cortez;M. Bees
通讯作者：
L. Cisneros;J. Kessler;Ricardo Ortiz;R. Cortez;M. Bees
影响因子：
4.7
作者：
Mitran, Sorin M.
通讯作者：
Mitran, Sorin M.