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Chemotaxis of sperm cells

机译：精细胞的趋化性

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摘要

We develop a theoretical description of sperm chemotaxis. Sperm cells of many species are guided to the egg by chemoattractants, a process called chemotaxis. Motor proteins in the flagellum of the sperm generate a regular beat of the flagellum, which propels the sperm in a fluid. In the absence of a chemoattractant, sperm swim in circles in two dimensions and along helical paths in three dimensions. Chemoattractants stimulate a signaling system in the flagellum, which regulates the motors to control sperm swimming. Our theoretical description of sperm chemotaxis in two and three dimensions is based on a generic signaling module that regulates the curvature and torsion of the swimming path. In the presence of a chemoattractant, swimming paths are drifting circles in two dimensions and deformed helices in three dimensions. The swimming paths can be described by a dynamical system that exhibits different dynamic regimes, which correspond to different chemo-tactic behaviours. We conclude that sampling a concentration field of chemoattractant along circular and helical swimming paths is a robust strategy for chemotaxis that works reliably for a vast range of parameters.
机译：我们开发了精子趋化性的理论描述。许多种类的精细胞被趋化因子引导到卵上，这一过程称为趋化过程。精子鞭毛中的运动蛋白产生鞭毛的规律搏动，从而推动精子进入液体。在没有化学引诱剂的情况下，精子以二维方式绕圈游动，以三维方式沿着螺旋路径游动。化学吸引剂刺激鞭毛中的信号系统，该信号系统调节马达以控制精子游动。我们在二维和三维上对精子趋化性的理论描述是基于调节游泳路径的曲率和扭转的通用信号模块。在存在化学引诱剂的情况下，游泳路径是二维的漂流圈和三维的变形螺旋。游泳路径可以由动态系统来描述，该动态系统表现出不同的动态范围，其对应于不同的化学战术行为。我们得出的结论是，沿着圆形和螺旋形游泳路径对趋化剂的浓度场进行采样是一种趋化性强的策略，该趋化性可在各种参数下可靠地工作。

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