On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities

DOI10.1002/mma.1475zbMath1221.35214OpenAlexW2019606992MaRDI QIDQ3087933

Hermann J. Eberl, Stefanie Sonner, Messoud A. Efendiev

Publication date: 17 August 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1475

zbMATH Keywords

well-posednessbiofilmdegenerate equationsquorum-sensingtwo nonlinear diffusion effects

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17)

Related Items (9)

Simulation-based exploration of quorum sensing triggered resistance of biofilms to antibiotics ⋮ Three-dimensional numerical simulations of biofilm dynamics with quorum sensing in a flow cell ⋮ A mixed-culture biofilm model with cross-diffusion ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ Numerical Modeling of The Quorum Sensing In a Bacterial Biofilm ⋮ Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects ⋮ Simulating cyclic voltammetry under advection for electrochemical cantilevers ⋮ On the well-posedness of mathematical models for multicomponent biofilms ⋮ Scaling relations for auxin waves

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