Abstract

A mathematical model of biofilm development was proposed. The model, which can be classified as a cellular automaton, is based on simple local rules for growth and detachment of individual cells. Results of several numerical simulations suggest that the thickness of concentration and hydrodynamic boundary layers may have an important effect on the developing biofilm structure. When external mass transfer limitations are significant, model biofilms develop an open structure. When the concentration boundary layer is reduced and external mass transfer is enhanced, a dense layer of a biofilm develops. Biofilm strength to withstand erosion has a smaller but also significant effect on its structure.

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