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Uecker, H.* ; Müller, J. ; Hense, B.A.

Individual-based model for quorum sensing with background flow.

Bull. Math. Biol. 76, 1727-1746 (2014)

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Open Access Green as soon as Postprint is submitted to ZB.

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Quorum sensing is a wide-spread mode of cell-cell communication among bacteria in which cells release a signalling substance at a low rate. The concentration of this substance allows the bacteria to gain information about population size or spatial confinement. We consider a model for [Formula: see text] cells which communicate with each other via a signalling substance in a diffusive medium with a background flow. The model consists of an initial boundary value problem for a parabolic PDE describing the exterior concentration [Formula: see text] of the signalling substance, coupled with [Formula: see text] ODEs for the masses [Formula: see text] of the substance within each cell. The cells are balls of radius [Formula: see text] in [Formula: see text], and under some scaling assumptions we formally derive an effective system of [Formula: see text] ODEs describing the behaviour of the cells. The reduced system is then used to study the effect of flow on communication in general, and in particular for a number of geometric configurations.

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