A fluid dynamics model of the growth of phototrophic biofilms.

Journal of Mathematical Biology
F ClarelliM Ribot

Abstract

A system of nonlinear hyperbolic partial differential equations is derived using mixture theory to model the formation of biofilms. In contrast with most of the existing models, our equations have a finite speed of propagation, without using artificial free boundary conditions. Adapted numerical scheme will be described in detail and several simulations will be presented in one and more space dimensions in the particular case of cyanobacteria biofilms. Besides, the numerical scheme we present is able to deal in a natural and effective way with regions where one of the phases is vanishing.

References

Jan 1, 1978·Scientific American·J W CostertonK J Cheng
Nov 10, 1998·Trends in Microbiology·C H JohnsonT Kondo
Mar 26, 2004·Nature Reviews. Microbiology·Luanne Hall-StoodleyPaul Stoodley
May 11, 2005·Microbial Ecology·C A Crispim, C C Gaylarde
Jan 11, 2007·Bulletin of Mathematical Biology·Erik AlpkvistIsaac Klapper
Jun 26, 2007·Journal of Microbiological Methods·Barbara ZippelThomas R Neu
Nov 29, 2007·The ISME Journal·Maayke StompHans C P Matthijs
Mar 1, 1986·Biotechnology and Bioengineering·O Wanner, W Gujer
Apr 22, 2009·Biofouling·F Di PippoP Albertano
May 7, 2010·Microbial Ecology·Oana A CuzmanPiero Tiano
Jul 1, 2003·The Journal of Animal Ecology·J A NewmanJ H M Thornley

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Citations

Nov 20, 2015·Bulletin of Mathematical Biology·Kazi A RahmanHermann J Eberl
Jul 19, 2015·Mathematical Medicine and Biology : a Journal of the IMA·F ClarelliM Ribot
Jul 26, 2017·Journal of Mathematical Biology·M R MatteiG Esposito
Dec 12, 2018·Journal of Theoretical Biology·Simon LabartheBeatrice Laroche

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