Modeling of biofilms in flow fields using porous medium theory and the one-domain approach

This project focuses on the development of a comprehensive theoretical and numerical framework for modelling biofilms in a flow field. The focus is on the mechanical interaction between biofilm and fluid, in particular the occurrence of biofilm detachment. Biofilm growth may also be considered. Biofilms will be considered as poroelastic materials. The research will address critical limitations in existing models, such as variable volume fractions, anisotropic mechanical properties and clear links between microscale and macroscale interactions. Building on current knowledge, the project will develop a robust mathematical model that incorporates time- and space-dependent volume fractions and large deformations. A method will be developed to capture the interface between the biofilm and the fluid to allow good representation of the fluid-structure interaction. This framework will be implemented numerically using finite element analysis and validated using benchmark problems from the literature. The model will be upscaled using multiscale modelling techniques, such as homogenisation and multiscale finite element methods, to bridge microscale dynamics with macroscale system behaviour. Finally, model simplification techniques will be tested to model biofilm in a flow field without explicitly representing all small-scale details.

This research will provide a validated, extendable framework for porous media flow and biofilm dynamics that will significantly advance fields such as environmental engineering, medical science and industrial processes.

Doctoral Researcher: Jamal Ahmed Bhatti

Scientific Advisors: Insa Neuweiler, Ludovic Chamoin.