title: An explanatory model to validate the way water activity rules periodic terrace generation in Proteus mirabilis swarm.
abstract: 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.
authors.affiliation: Université Europénne de Bretagne, Lab-STICC (UMR CNRS 3192), Université de Bretagne-Sud, Centre Yves Coppens, Campus de Tohannic, 56017 Vannes, France. emmanuel.frenod@univ-ubs.fr
authors.forename: Emmanuel
authors.initials: E
authors.lastname: Frénod
authors.forename: Olivier
authors.initials: O
authors.lastname: Sire
mesh_terms: D000362:Agar / Q000737:chemistry; D000465:Algorithms; D018533:Biomass; D055592:Biophysical Phenomena / Q000502:physiology; D049109:Cell Proliferation; D003198:Computer Simulation; D004548:Elasticity; D005109:Extracellular Matrix / Q000502:physiology; D008124:Locomotion / Q000502:physiology*; D008954:Models, Biological; D011513:Proteus mirabilis / Q000166:cytology* / Q000502:physiology / Q000648:ultrastructure; D014783:Viscosity; D014867:Water / Q000737:chemistry* / Q000378:metabolism
chemical_list: D014867:Water; D000362:Agar