Chemotaxis driven instability of a confined bacterial suspension.

A suspension of bacteria in a thin channel or film subject to a gradient in the concentration of a chemoattractant, will develop, in the absence of an imposed fluid flow, a steady bacteria concentration field that depends exponentially on cross-stream position. Above a critical bacteria concentration, this quiescent base state is unstable to a steady convective motion driven by the active stresses induced by the bacteria's swimming. Unlike previously identified long-wavelength instabilities of active fluids, this instability results from coupling of the bacteria concentration field with the disturbance flow.

[1]  T. Pedley,et al.  Bioconvection in suspensions of oxytactic bacteria: linear theory , 1996, Journal of Fluid Mechanics.

[2]  Mingming Wu,et al.  A hydrogel-based microfluidic device for the studies of directed cell migration. , 2007, Lab on a chip.

[3]  Sriram Ramaswamy,et al.  Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles. , 2001, Physical review letters.

[4]  M. Shelley,et al.  Instabilities and pattern formation in active particle suspensions: kinetic theory and continuum simulations. , 2008, Physical review letters.

[5]  Donald L. Koch,et al.  Critical bacterial concentration for the onset of collective swimming , 2009, Journal of Fluid Mechanics.

[6]  M. Shelley,et al.  Instabilities, pattern formation and mixing in active suspensions , 2008 .

[7]  Donald L. Koch,et al.  Collective Hydrodynamics of Swimming Microorganisms: Living Fluids , 2011 .

[8]  Min Jun Kim,et al.  Controlled mixing in microfluidic systems using bacterial chemotaxis. , 2007, Analytical chemistry.

[9]  Robert Mesibov,et al.  Chemotaxis Toward Amino Acids in Escherichia coli , 1972, Journal of bacteriology.

[10]  Andrey Sokolov,et al.  Enhanced mixing and spatial instability in concentrated bacterial suspensions. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  R. Bearon An extension of generalized Taylor dispersion in unbounded homogeneous shear flows to run-and-tumble chemotactic bacteria , 2003 .

[12]  T. Pedley,et al.  Hydrodynamic Phenomena in Suspensions of Swimming Microorganisms , 1992 .

[13]  D. Brown,et al.  Temporal stimulation of chemotaxis in Escherichia coli. , 1974, Proceedings of the National Academy of Sciences of the United States of America.

[14]  K. Venkatesh,et al.  Chemotaxis of Escherichia coli to L-serine , 2010, Physical biology.

[15]  D. Koch,et al.  The stability of a homogeneous suspension of chemotactic bacteria , 2011 .

[16]  L. Segel,et al.  Model for chemotaxis. , 1971, Journal of theoretical biology.

[17]  Peter T Cummings,et al.  Cell balance equation for chemotactic bacteria with a biphasic tumbling frequency , 2003, Journal of mathematical biology.