Journal article
Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms
Friedrich Schiller University Jena1
Section for Microbial and Chemical Ecology, Department of Biotechnology and Biomedicine, Technical University of Denmark2
Bacterial Interactions and Evolution, Section for Microbial and Chemical Ecology, Department of Biotechnology and Biomedicine, Technical University of Denmark3
Department of Biotechnology and Biomedicine, Technical University of Denmark4
Biofilms offer an excellent example of ecological interaction among bacteria. Temporal and spatial oscillations in biofilms are an emerging topic. In this paper, we describe the metabolic oscillations in Bacillus subtilis biofilms by applying the smallest theoretical chemical reaction system showing Hopf bifurcation proposed by Wilhelm and Heinrich in 1995.
The system involves three differential equations and a single bilinear term. We specifically select parameters that are suitable for the biological scenario of biofilm oscillations. We perform computer simulations and a detailed analysis of the system including bifurcation analysis and quasi-steady-state approximation.
We also discuss the feedback structure of the system and the correspondence of the simulations to biological observations. Our theoretical work suggests potential scenarios about the oscillatory behaviour of biofilms and also serves as an application of a previously described chemical oscillator to a biological system.
| Language: | English |
|---|---|
| Publisher: | The Royal Society |
| Year: | 2020 |
| Pages: | 190810 |
| ISBN: | 0128201436 , 0128202076 , 9780128201435 and 9780128202074 |
| ISSN: | 20545703 |
| Types: | Journal article |
| DOI: | 10.1098/rsos.190810 |
| ORCIDs: | 0000-0001-7773-0122 , Kovács, Ákos T. and 0000-0003-2828-9355 |
Bacillus subtilis Biofilm Glutamate metabolism Hopf bifurcation Minimal model metabolic oscillations
Q Science bacillus subtilis biofilm glutamate metabolism hopf bifurcation minimal model
