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Journal Articles Journal of Mathematical Biology Year : 2009

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

Abstract

In this paper we explain the biophysical principles which, according to us, govern the Proteus mirabilis swarm phenomenon. Then, we translate this explanation 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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Dates and versions

hal-00200136 , version 1 (20-12-2007)
hal-00200136 , version 2 (23-10-2008)

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Cite

Emmanuel Frenod, Olivier Sire. An explanatory model to validate the way water activity rules periodic terrace generation in Proteus mirabilis swarm. Journal of Mathematical Biology, 2009, 59 (4), pp.439--466. ⟨10.1007/s00285-008-0235-6⟩. ⟨hal-00200136v2⟩
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