Free boundary problem for an initial cell layer in multispecies biofilm formation

DOI10.1016/j.aml.2011.06.032zbMath1229.92025OpenAlexW1971381507MaRDI QIDQ656685

Luigi Frunzo, Berardino D'Acunto

Publication date: 13 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.06.032

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Cell biology (92C37) Free boundary problems for PDEs (35R35)

Related Items (9)

Moving boundary problem for the detachment in multispecies biofilms ⋮ Continuum approach to mathematical modelling of multispecies biofilms ⋮ Qualitative analysis of the invasion free boundary problem in biofilms ⋮ Solving free boundary problem for an initial cell layer in multispecies biofilm formation by Newton-Raphson method ⋮ Free boundary approach for the attachment in the initial phase of multispecies biofilm growth ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ Mathematical modeling of dispersal phenomenon in biofilms ⋮ Qualitative analysis of the moving boundary problem for a biofilm reactor model ⋮ Modeling multispecies biofilms including new bacterial species invasion

Cites Work

• Qualitative analysis and simulations of a free boundary problem for multispecies biofilm models
• Mathematical Description of Microbial Biofilms
• MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS

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