Cooperation of Sperm in Two Dimensions: Synchronization, Attraction and Aggregation through Hydrodynamic Interactions

Abstract

Sperm swimming at low Reynolds number have strong hydrodynamic interactions when their concentration is high in vivo or near substrates in vitro. The beating tails not only propel the sperm through a fluid, but also create flow fields through which sperm interact with each other. We study the hydrodynamic interaction and cooperation of sperm embedded in a two-dimensional fluid by using a particle-based mesoscopic simulation method, multi-particle collision dynamics (MPC). We analyze the sperm behavior by investigating the relationship between the beating-phase difference and the relative sperm position, as well as the energy consumption. Two effects of hydrodynamic interaction are found, synchronization and attraction. With these hydrodynamic effects, a multi-sperm system shows swarm behavior with a power-law dependence of the average cluster size on the width of the distribution of beating frequencies.

References in corpus (11)

• Novel type of phase transition in a system of self-driven particles
• Hydrodynamic attraction of swimming microorganisms by surfaces
• A Simplest Swimmer at Low Reynolds Number: Three Linked Spheres
• Non-equilibrium clustering of self-propelled rods
• Multi-particle-collision dynamics: Flow around a circular and a square cylinder
• Transport coefficients of a mesoscopic fluid dynamics model
• Self-organized Beating and Swimming of Internally Driven Filaments
• A macroscopic scale model of bacterial flagellar bundling
• Numerical Study of a Microscopic Artificial Swimmer
• Synchronization of rotating helices by hydrodynamic interactions
• Transport Coefficients for Stochastic Rotation Dynamics in Three Dimensions

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