Thin-film modelling of biofilm growth and quorum sensing

DOI10.1007/s10665-011-9490-4zbMath1398.76017OpenAlexW2035174694MaRDI QIDQ1990325

John R. King, John Paul Ward

Publication date: 25 October 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-011-9490-4

zbMATH Keywords

mathematical modellingquorum sensingbacterial biofilmshigh-order Fisher equationthin-film asymptotics

Mathematics Subject Classification ID

Thin fluid films (76A20) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Biological fluid mechanics (76Z99)

Related Items (9)

Nutrient-limited growth with non-linear cell diffusion as a mechanism for floral pattern formation in yeast biofilms ⋮ Mathematical modelling of bacterial quorum sensing: a review ⋮ On contact-line dynamics with mass transfer ⋮ A mixed-culture biofilm model with cross-diffusion ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ Invasion moving boundary problem for a biofilm reactor model ⋮ A thin-film extensional flow model for biofilm expansion by sliding motility ⋮ Free boundary problem for the role of planktonic cells in biofilm formation and development ⋮ Discrete attachment to a cellulolytic biofilm modeled by an Itô stochastic differential equation

Cites Work

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• The interaction of thin-film flow, bacterial swarming and cell differentiation in colonies of Serratia liquefaciens
• Modelling antibiotic- and anti-quorum sensing treatment of a spatially-structured Pseudomonas aeruginosa population
• A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
• Thin Films with High Surface Tension
• The role of the biofilm matrix in structural development
• Cell-signalling repression in bacterial quorum sensing
• Thin-Film Flows And High-Order Degenerate Parabolic Equations
• Steady state solutions of a one-dimensional biofilm model

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