title: Detachment and diffusive-convective transport in an evolving heterogeneous two-dimensional biofilm hybrid model.
abstract: Under the hypothesis of correlation between biofilm survival and nutrient availability, by considering fluid drag forces and mortality due to nutrient depletion, a biofilm detachment/breaking condition is derived. The mechanisms leading to biofilm detachment/breaking are discussed. We construct and describe a hybrid model for a heterogeneous biofilm attached to walls in a channel where liquid is flowing. The model is called hybrid because it couples conservation equations with a cellular automaton. The biofilm layer is viewed as a porous medium with variable porosity, tortuosity, and permeability. The model is solved using asymptotic and finite differences methods. Results for porosity, nutrient distribution, and average surface location are presented. The model is capable of reproducing biofilm heterogeneity as well as the typical surface fingering (mushroomlike structure).
authors.affiliation: Instituto Mexicano del Petróleo, D.F. 07730, Mexico.
authors.forename: E
authors.initials: E
authors.lastname: Luna
authors.forename: G
authors.initials: G
authors.lastname: Domínguez-Zacarias
authors.forename: C Pio
authors.initials: CP
authors.lastname: Ferreira
authors.forename: J X
authors.initials: JX
authors.lastname: Velasco-Hernandez
mesh_terms: D001422:Bacterial Adhesion / Q000502:physiology*; D018441:Biofilms / Q000254:growth & development*; D001693:Biological Transport, Active / Q000502:physiology; D049109:Cell Proliferation; D003198:Computer Simulation; D039301:Computers, Molecular; D004058:Diffusion; D044085:Microfluidics / Q000379:methods*; D008954:Models, Biological; D009038:Motion; D016062:Porosity; D013314:Stress, Mechanical