Homogenised model linking microscopic and macroscopic dynamics of a biofilm: Application to growth in a plug flow reactor

Abstract : We propose a new "hybrid" model for the simulation of biofilm growth in a plug flow bioreactor, that combines information from three scales: a microscopic one for the individual bacteria, a mesoscopic or "coarse-grained" one that homogenises at an intermediate scale the quantities relevant to the attachment/detachment process, and a macroscopic one in terms of substrate concentration. In contrast to existing partial differential equations models, this approach is based on a description of biological mechanisms at the individual scale, thus bringing in a biological justification of the attachment/detachment process responsible of the macroscopic behaviour. We found that compared to purely individual based or purely macroscopic models,

* the approximate coarse-grained scale simplifies the change of scales from micro to macro, and speeds up the computation,

* additional information about the stochasticity of the solution, especially at small populations, is revealed compared with the numerical simulations of partial differential equations models.

Furthermore, the coarse-grained model can be much more easily adapted to various attachment/detachment hypotheses, that are at the core of the biofilm development.

Type de document :
Article dans une revue
Ecological Modelling, Elsevier, 2013, 250, pp.15-24. 〈10.1016/j.ecolmodel.2012.10.020〉
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https://hal.inria.fr/hal-00823991
Contributeur : Fabien Campillo <>
Soumis le : lundi 20 mai 2013 - 13:37:55
Dernière modification le : vendredi 31 août 2018 - 09:18:02

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Chloé Deygout, Annick Lesne, Fabien Campillo, Alain Rapaport. Homogenised model linking microscopic and macroscopic dynamics of a biofilm: Application to growth in a plug flow reactor. Ecological Modelling, Elsevier, 2013, 250, pp.15-24. 〈10.1016/j.ecolmodel.2012.10.020〉. 〈hal-00823991〉

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