Modeling and simulation of a bacterial biofilm that is controlled by pH and protonated lactic acids

DOI10.1080/17486700701797922zbMath1145.92002OpenAlexW2160317018MaRDI QIDQ937798

Hermann J. Eberl, Hassan Khassehkhan

Publication date: 15 August 2008

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222647

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Degenerate parabolic equations (35K65) Cell biology (92C37) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Cell movement (chemotaxis, etc.) (92C17)

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Modeling of symbiotic bacterial biofilm growth with an example of the \textit{Streptococcus-Veillonella} sp. system ⋮ Analysis of a finite-volume scheme for a single-species biofilm model ⋮ Time adaptive numerical solution of a highly degenerate diffusion-reaction biofilm model based on regularisation ⋮ Numerical Solution of a Degenerate, Diffusion Reaction Based Biofilm Growth Model on Structured Non-Orthogonal Grids ⋮ On the well-posedness of mathematical models for multicomponent biofilms ⋮ Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection

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