Accumulation of microswimmers near a surface mediated by collision and rotational Brownian motion.

In this Letter we propose a kinematic model to explain how collisions with a surface and rotational Brownian motion give rise to accumulation of microswimmers near a surface. In this model, an elongated microswimmer invariably travels parallel to the surface after hitting it from an oblique angle. It then swims away from the surface, facilitated by rotational Brownian motion. Simulations based on this model reproduce the density distributions measured for the small bacteria E. coli and Caulobacter crescentus, as well as for the much larger bull spermatozoa swimming between two walls.

[1]  Patrick T. Underhill,et al.  Dynamics of confined suspensions of swimming particles , 2008, Journal of physics. Condensed matter : an Institute of Physics journal.

[2]  M. Graham,et al.  Transport and collective dynamics in suspensions of confined swimming particles. , 2005, Physical review letters.

[3]  John W. Roberts,et al.  Three-dimensional fluorescent particle tracking at micron-scale using a single camera , 2005 .

[4]  Eric Lauga,et al.  Hydrodynamic attraction of swimming microorganisms by surfaces. , 2008, Physical review letters.

[5]  Jay X. Tang,et al.  Amplified effect of Brownian motion in bacterial near-surface swimming , 2008, Proceedings of the National Academy of Sciences.

[6]  Patrick T. Underhill,et al.  Diffusion and spatial correlations in suspensions of swimming particles. , 2008, Physical review letters.

[7]  H. Berg,et al.  Three-dimensional tracking of motile bacteria near a solid planar surface. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[8]  B. Friedrich Search along persistent random walks , 2008, Physical biology.

[9]  H. Koser,et al.  Hydrodynamic surface interactions enable Escherichia coli to seek efficient routes to swim upstream. , 2007, Physical review letters.

[10]  P. Watnick,et al.  Biofilm, City of Microbes , 2000 .

[11]  George M Whitesides,et al.  Swimming in circles: motion of bacteria near solid boundaries. , 2005, Biophysical journal.

[12]  H. Berg Random Walks in Biology , 2018 .

[13]  Theo Odijk,et al.  The statistics and dynamics of confined or entangled stiff polymers , 1983 .

[14]  D. Levitan,et al.  Sperm limitation in the sea. , 1995, Trends in ecology & evolution.

[15]  L. Fauci,et al.  Sperm motility in the presence of boundaries. , 1995, Bulletin of mathematical biology.

[16]  Y. Shirakihara,et al.  Caulobacter crescentus flagellar filament has a right-handed helical form. , 1984, Journal of molecular biology.