An explanatory model to validate the way water activity rules periodic terrace generation in Proteus mirabilis swarm

This paper explains the biophysical principles which, according to us, govern the Proteus mirabilis swarm phenomenon. Then, this explanation is translated into a mathematical model, essentially based on partial differential equations. This model is then implemented using numerical methods of the fin...

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Bibliographic Details
Published in:	Journal of mathematical biology Vol. 59; no. 4; pp. 439 - 466
Main Authors:	Frénod, Emmanuel, Sire, Olivier
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.10.2009 Springer Nature B.V Springer
Subjects:	Agar - chemistry Algorithms Analysis of PDEs Applications of Mathematics Biochemistry, Molecular Biology Bioinformatics Biomass Biophysical Phenomena - physiology Biophysics Cell Proliferation Computer Science Computer Simulation Elasticity Extracellular Matrix - physiology Life Sciences Locomotion - physiology Mathematical and Computational Biology Mathematics Mathematics and Statistics Modeling and Simulation Models, Biological Proteus mirabilis Proteus mirabilis - cytology Proteus mirabilis - physiology Proteus mirabilis - ultrastructure Quantitative Methods Viscosity Water - chemistry Water - metabolism 35Q80 swarm Partial differential equations 92C05 92D15 92-08 65M60 92C17 Finite volumes Modeling 92D40 Proteus mirabilis swarm partial differential equations finite volumes modelling
ISSN:	0303-6812, 1432-1416, 1432-1416
Online Access:	Get full text
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