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A model of hydrodynamic interaction between swimming bacteria

by: Vitaliy Gyrya, Igor S Aranson, Leonid V Berlyand, Dmitry Karpeev
(20 May 2008)


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We study the dynamics and the interaction of two swimming bacteria modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair elongated swimmers, which propel themselves either by "pushing" or "pulling", both in three and quasi-two-dimensional geometries of space. We derive asymptotic expressions for the dynamics of the pair, which, complemented by numerical experiments, indicate that the tendency of bacteria to swim in or swim off strongly depends on the position of the propulsion force. In particular, we observe that positioning of the propulsion force inside the dumbbell results in the qualitative agreement with the dynamics observed in experiments, such as mutual alignment of bacteria swimming in.


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