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- W1816315087 abstract "We analyze a mathematical model introduced by Anguige, Ward and King (J. Math. Biol. 51 (2005), 557–594) to describe a quorum sensing mechanism in spatially-structured populations of the bacteria Pseudomonas aeruginosa. In the biologically relevant limit case when the spatial distribution of bacteria is constant in time, this model reduces to a single semilinear parabolic equation for the concentration of the signal substance N -(3-oxododecanoyl)-homoserine lactone (AHL). We show that under some mild technical assumptions on the nonlinear AHL production rate, the AHL concentration approaches a uniquely determined steady state, and that this convergence takes place at an exponential rate." @default.
- W1816315087 created "2016-06-24" @default.
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- W1816315087 date "2009-01-01" @default.
- W1816315087 modified "2023-09-26" @default.
- W1816315087 title "Stabilization of solutions of a semilinear parabolic equation modelling quorum sensing in a biofilm" @default.
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- W1816315087 doi "https://doi.org/10.3233/asy-2008-0920" @default.
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