A new mathematical model for chemotactic bacterial colony growth.

E Alpkvist, N Chr Overgaard, S Gustafsson, A Heyden

School of Technology and Society, Malmö University, Malmö, Sweden.

Water science and technology : a journal of the International Association on Water Pollution Research 2004

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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.

Citation

E Alpkvist, N Chr Overgaard, S Gustafsson, A Heyden. A new mathematical model for chemotactic bacterial colony growth. Water science and technology : a journal of the International Association on Water Pollution Research. 2004;49(11-12):187-92