Modelling run-and-tumble chemotaxis in a shear flow |
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Authors: | R N Bearon T J Pedley |
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Institution: | (1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, UK |
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Abstract: | The biased random walk undergone by chemotactic bacteria such as Escherichia coli will be influenced at the microscopic level by flow in the ambient medium. In this paper, we model swimming bacteria being
advected and rotated by a simple shear flow. Under certain scaling assumptions, we obtain an advection—diffusion equation
for cell density, when the chemotactic response is small, which shows a coupling between the rotation and chemotaxis. We also
present an alternative method for calculating the chemotactic flux in an unbounded region which is valid for more general
chemotactic responses. |
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Keywords: | |
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