The scientific community has recognized that almost 99% of the microbial life on earth is
represented by biofilms. Considering the impacts of their sessile lifestyle on both natural and …

Biofilm growth changes many physical properties of porous media such as porosity,
permeability and mass transport parameters. The growth depends on various environmental …

Background Cell dispersal (or detachment) is part of the developmental cycle of microbial
biofilms. It can be externally or internally induced, and manifests itself in discrete sloughing …

A finite difference scheme is presented for a density-dependent diffusion equation that
arises in the mathematical modelling of bacterial biofilms. The peculiarity of the underlying …

We propose a deterministic continuum model for mixed-culture biofilms. A crucial aspect is
that movement of one species is affected by the presence of the other. This leads to a …

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 …

A previously introduced degenerate diffusion–reaction model of biofilm growth and
disinfection is extended to account for convective transport of oxygen and disinfectants in an …

This book deals with the modeling, analysis and simulation of problems arising in the life
sciences, and especially in biological processes. The models and findings presented result …

The study of biofilm formation is becoming increasingly important. Microbes that produce
biofilms have complicated impact on medical implants. In this paper, we construct an …

Departing from a generalized Burgers–Huxley partial differential equation, we provide a
Mickens-type, nonlinear, finite-difference discretization of this model. The continuous system …