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