An individual-based model for biofilm formation at liquid surfaces
Authored by Maxime Ardre, Herve Henry, Carine Douarche, Mathis Plapp
Date Published: 2015
DOI: 10.1088/1478-3975/12/6/066015
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Mathematical description
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Abstract
The bacterium Bacillus subtilis frequently forms biofilms at the
interface between the culture medium and the air. We present a
mathematical model that couples a description of bacteria as individual
discrete objects to the standard advection-diffusion equations for the
environment. The model takes into account two different bacterial
phenotypes. In the motile state, bacteria swim and perform a
run-and-tumble motion that is biased toward regions of high oxygen
concentration (aerotaxis). In the matrix-producer state they excrete
extracellular polymers, which allows them to connect to other bacteria
and to form a biofilm. Bacteria are also advected by the fluid, and can
trigger bioconvection. Numerical simulations of the model reproduce all
the stages of biofilm formation observed in laboratory experiments.
Finally, we study the influence of various model parameters on the
dynamics and morphology of biofilms.
Tags
Bacterial chemotaxis
growth
Matrix
Bacillus-subtilis
Suspensions
Bioconvection
Eps