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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Description
Summary: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 finite volume type in order to make simulations. The simulations show most of the characteristics which are observed in situ and in particular the terrace generation.
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ISSN:0303-6812
1432-1416
1432-1416
DOI:10.1007/s00285-008-0235-6