Modeling has become an important tool for widening our understanding of microbial growth
in the context of applied microbiology and related to such processes as safe food …

Mathematical Description of Microbial Biofilms Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM REVIEW c 2010 Society for Industrial and Applied …

Biofilm modeling is often considered as a complex mathematical subject. This paper
evaluates simple equations to describe the basic processes in a biofilm system with the …

AQUASIM is a computer program for the identification and simulation of aquatic systems.
The program includes a one-dimensional multisubstrate and multispecies biofilm model and …

A system of nonlinear hyperbolic partial differential equations is derived using mixture theory
to model the formation of biofilms. In contrast with most of the existing models, our equations …

Biofilm and granular sludge processes depend on diffusion of substrates. Despite their
importance for the kinetic description of biofilm reactors, biofilm diffusion coefficients …

Aerobic granular sludge (AGS) technology allows simultaneous nitrogen, phosphorus, and
carbon removal in compact wastewater treatment processes. To operate, design, and model …

Dueck's mathematical model of biofilm is discussed. This model is also generalized to cover
all substratum types. This system is based on a nonlinear reaction–diffusion equation that …

Mathematical modeling of spatial biofilm structure has been in development for the past 10
years, its main goal being to derive the dynamics of biofilm structure from first-principle …

Chapter 5 is devoted to biofilm modelling (meso-scale level), analysis and simulation which
is one of the most active areas in modern microbiology. To this end it is enough to refer to:“It …