A new continuum model for the growth of a single species biofilm is proposed. The geometry of the biofilm is described by the interface between the biomass and the surrounding liquid. Nutrient transport is given by the solution of a semi-linear Poisson equation. In this model we study the morphology of a chemotactic bacterial colony, which grows in the direction of increasing nutrient concentration. Numerical simulations using the level set method and finite difference schemes are presented. The results show rich heterogeneous morphology.
A new mathematical model for chemotactic bacterial colony growth
E. Alpkvist, N. Chr. Overgaard, S. Gustafsson, A. Heyden; A new mathematical model for chemotactic bacterial colony growth. Water Sci Technol 1 June 2004; 49 (11-12): 187–192. doi: https://doi.org/10.2166/wst.2004.0837
Download citation file:
Impact Factor 1.915
CiteScore 3.3 • Q2
First Decision in 30 days