MATHEMATICAL MODELS FOR BIOFILMS ON THE SURFACE OF MONUMENTS
Fabrizio Clarelli, Cristiana Di Russo, Roberto Natalini, Magali Ribot · 2009
In this article, a system of nonlinear hyperbolic-elliptic partial differential equa-tions is introduced to model the formation of biofilms. First, a short introduc-tion to some basic concepts about biofilms is given. Then a detailed derivation of the model is presented, which is mainly based on the theory of mixtures, also in comparison with previous models. Adapted numerical schemes will be presented and numerical simulations will be discussed.