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

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

Chloé Deygout ^{1, 2, *} Annick Lesne ^{3, 4} Fabien Campillo ^{1, 2} Alain Rapaport ^{1, 2}

* Corresponding author

1 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme

CRISAM - Inria Sophia Antipolis - Méditerranée , MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie

2 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie

3 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

4 IHES - Institut des Hautes Etudes Scientifiques

Abstract : We propose a new "hybrid" model for the simulation of biofilm growth in a plug flow bioreactor. Our approach consists in combining 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. We compare our simulations with the numerical solutions of an existing partial differential equations model at the macroscopic scale.

Keywords : attachment-detachment advection-diffusion biofilm partial differential equations individual-based model plug flow reactor

Document type :

Journal articles

Domain :

Computer Science [cs] / Modeling and Simulation

Life Sciences [q-bio] / Ecology, environment

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https://hal.archives-ouvertes.fr/hal-00604377
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Submitted on : Tuesday, June 28, 2011 - 5:39:02 PM
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Homogenised model linking microscopic and macroscopic dynamics of a biofilm: Application to growth in a plug flow reactor

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