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An analytical model of flagellate hydrodynamics

机译:鞭毛流体动力学分析模型

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摘要

Flagellates are unicellular microswimmers that propel themselves using one or several beating flagella. We consider a hydrodynamic model of flagellates and explore the effect of flagellar arrangement and beat pattern on swimming kinematics and near-cell flow. The model is based on the analytical solution by Oseen for the low Reynolds number flow due to a point force outside a no-slip sphere. The no-slip sphere represents the cell and the point force a single flagellum. By superposition we are able to model a freely swimming flagellate with several flagella. For biflagellates with left-right symmetric flagellar arrangements we determine the swimming velocity, and we show that transversal forces due to the periodic movements of the flagella can promote swimming. For a model flagellate with both a longitudinal and a transversal flagellum we determine radius and pitch of the helical swimming trajectory. We find that the longitudinal flagellum is responsible for the average translational motion whereas the transversal flagellum governs the rotational motion. Finally, we show that the transversal flagellum can lead to strong feeding currents to localized capture sites on the cell surface.
机译:鞭毛是单细胞的微细胞,使用一个或多个击败鞭毛来推动自己。我们考虑了鞭毛的流体动力学模型,探讨了鞭毛安排和击败模式对游泳运动学和近细胞流的影响。由于在防滑球之外的点力,该模型基于OSEEN的OSEEN用于低雷诺数流量。无滑块代表细胞,点力为单个鞭毛。通过叠加,我们能够用几个鞭毛的自由游击鞭毛。对于具有左右对称鞭毛布置的双蓝曲线,我们确定游泳速度,并且我们表明由于鞭毛的周期性运动导致的横向力可以促进游泳。对于具有纵向和横向鞭毛的模型鞭打,我们确定螺旋游泳轨迹的半径和间距。我们发现纵向鞭毛对平均翻译运动负责,而横向鞭毛管辖旋转运动。最后,我们表明横向鞭毛可以导致细胞表面上的局部捕获部位的强馈电流。

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