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Spermatozoa scattering by a microchannel feature: an elastohydrodynamic model

机译:微通道特征的精子散射:弹性流体动力学模型

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摘要

Sperm traverse their microenvironment through viscous fluid by propagating flagellar waves; the waveform emerges as a consequence of elastic structure, internal active moments and low Reynolds number fluid dynamics. Engineered microchannels have recently been proposed as a method of sorting and manipulating motile cells; the interaction of cells with these artificial environments therefore warrants investigation. A numerical method is presented for large-amplitude elastohydrodynamic interaction of active swimmers with domain features. This method is employed to examine hydrodynamic scattering by a model microchannel backstep feature. Scattering is shown to depend on backstep height and the relative strength of viscous and elastic forces in the flagellum. In a ‘high viscosity’ parameter regime corresponding to human sperm in cervical mucus analogue, this hydrodynamic contribution to scattering is comparable in magnitude to recent data on contact effects, being of the order of 5°–10°. Scattering can be positive or negative depending on the relative strength of viscous and elastic effects, emphasizing the importance of viscosity on the interaction of sperm with their microenvironment. The modulation of scattering angle by viscosity is associated with variations in flagellar asymmetry induced by the elastohydrodynamic interaction with the boundary feature.
机译:精子通过传播鞭毛波在粘性流体中穿越它们的微环境。波形是由于弹性结构,内部活动力矩和低雷诺数流体动力学而产生的。最近提出了工程微通道作为一种分类和操纵运动细胞的方法。因此,细胞与这些人工环境的相互作用值得研究。提出了一种具有域特征的活跃游泳者大幅度弹性流体动力相互作用的数值方法。该方法用于通过模型微通道后推特征检查流体动力散射。结果表明,散射取决于后台阶的高度以及鞭毛中粘性和弹性力的相对强度。在与宫颈粘液类似物中的人类精子相对应的“高粘度”参数方案中,这种对散射的流体动力学贡献与最近的接触效应数据相当,约为5°–10°。散射可以是正的也可以是负的,具体取决于粘性和弹性作用的相对强度,强调粘度对精子与其微环境相互作用的重要性。粘度对散射角的调制与鞭毛不对称性的变化有关,鞭毛不对称性是由弹性流体动力作用与边界特征相互作用引起的。

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