Mathematical analysis of a model describing the invasion of bacteria in burn wounds

DOI10.1016/j.na.2006.01.009zbMath1117.35036OpenAlexW2017749874WikidataQ111492261 ScholiaQ111492261MaRDI QIDQ867834

Matthias Röger, John R. King, Danielle Hilhorst

Publication date: 19 February 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/mathematical-analysis-of-a-model-describing-the-invasion-of-bacteria-in-burn-wounds(27e83278-2267-4345-bbd5-d2988e9d4d3a).html

zbMATH Keywords

Stefan problemsingular limitRankine-Hugoniot conditionPDE-ODE systemFréchet-Kolmogorov-Riesz Theorem

Mathematics Subject Classification ID

Related Items (9)

Fast reaction limit of reaction-diffusion systems ⋮ Self-similar fast-reaction limits for reaction-diffusion systems on unbounded domains ⋮ A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium ⋮ Mathematical analysis of a model describing the invasion of bacteria in burn wounds ⋮ A general view on double limits in differential equations ⋮ Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift ⋮ Fast reaction limit of a three-component reaction-diffusion system ⋮ Linear determinacy of the minimal wave speed of a model describing tissue degradation by bacteria ⋮ Travelling-wave analysis of a model describing tissue degradation by bacteria

Cites Work

• Mathematical analysis of a model describing the invasion of bacteria in burn wounds
• Nonlinear evolution equations in an arbitrary Banach space
• Nonlinear diffusion in the presence of fast reaction
• The fast reaction limit for a reaction-diffusion system
• Modelling antibiotic- and anti-quorum sensing treatment of a spatially-structured Pseudomonas aeruginosa population
• Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
• Spatial segregation limit of a competition–diffusion system
• Modelling host tissue degradation by extracellular bacterial pathogens
• Cell-signalling repression in bacterial quorum sensing
• Analytic semigroups and optimal regularity in parabolic problems
• A competition-diffusion system approximation to the classical two-phase Stefan problem
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