Analysis of a moving boundary value problem arising in biofilm modelling

DOI10.1002/mma.1000zbMath1146.92322OpenAlexW2116858074MaRDI QIDQ3528020

Barbara Szomolay

Publication date: 2 October 2008

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

Full work available at URL: https://doi.org/10.1002/mma.1000

zbMATH Keywords

global existencesteady state

Mathematics Subject Classification ID

Medical applications (general) (92C50) Ecology (92D40) Free boundary problems for PDEs (35R35) Physiological, cellular and medical topics (92C99) Qualitative properties of solutions to partial differential equations (35B99)

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Effect of periodic disinfection on persisters in a one-dimensional biofilm model ⋮ Continuum approach to mathematical modelling of multispecies biofilms ⋮ Productivity and equilibrium in simple biofilm models ⋮ Persistence in a single species CSTR model with suspended flocs and wall attached biofilms ⋮ Qualitative analysis and simulations of a free boundary problem for multispecies biofilm models ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ A modeling and simulation study of the role of suspended microbial populations in nitrification in a biofilm reactor ⋮ An exclusion principle and the importance of mobility for a class of biofilm models ⋮ Invasion moving boundary problem for a biofilm reactor model ⋮ Qualitative analysis of the moving boundary problem for a biofilm reactor model

Cites Work

• A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
• Finger Formation in Biofilm Layers
• Steady state solutions of a one-dimensional biofilm model

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