Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects

Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects

We analyze a mathematical model of quorum sensing induced biofilm dispersal. It is formulated as a system of non-linear, density-dependent, diffusion-reaction equations. The governing equation for the sessile biomass comprises two non-linear diffusion effects, a degeneracy as in the porous medium eq...

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Bibliographic Details
Main Authors: Blessing O. Emerenini, Stefanie Sonner, Hermann J. Eberl
Format: Article
Language:English
Published: AIMS Press 2017-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
quorum sensing
biofilm
cell dispersal
density dependent diffusion
existence
uniqueness
numerical simulation
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2017036
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