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

DOI10.3934/mbe.2017036zbMath1358.35203OpenAlexW2564841414WikidataQ48009002 ScholiaQ48009002MaRDI QIDQ504657

Stefanie Sonner, Blessing O. Emerenini, Hermann J. Eberl

Publication date: 17 January 2017

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2017036

zbMATH Keywords

existenceuniquenessnumerical simulationquorum sensingbiofilmcell dispersaldensity dependent diffusion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Three-dimensional numerical simulations of biofilm dynamics with quorum sensing in a flow cell ⋮ Analysis of a finite-volume scheme for a single-species biofilm model ⋮ Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth ⋮ A pore-scale reactive transport modeling study for quorum sensing-driven biofilm dispersal in heterogeneous porous media ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ Mathematical modeling of dispersal phenomenon in biofilms ⋮ Reactor scale modeling of quorum sensing induced biofilm dispersal

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The influence of fluid flow on modeling quorum sensing in bacterial biofilms
• A degenerate diffusion-reaction model of an amensalistic biofilm control system: existence and simulation of solutions
• Existence and longtime behavior of a biofilm model
• Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection
• Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates
• Traveling waves in response to a diffusing quorum sensing signal in spatially-extended bacterial colonies
• A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
• On the well-posedness of mathematical models for multicomponent biofilms
• Computational Methods for Physicists
• On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• An Introduction to Partial Differential Equations

This page was built for publication: Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects