Abstract
In a process called quorum sensing, bacteria monitor their population density via extracellular signaling molecules and modulate gene expression accordingly. In this paper, a one-dimensional model of a growing Pseudomonas aeruginosa biofilm is examined. Quorum sensing has been included in the model through equations describing the production, degradation, and diffusion of the signaling molecules, acyl-homoserine lactones, in the biofilm. From this model, we are able to make some important observations about quorum sensing. First, in order for quorum sensing to initiate near the substratum, in accordance with experimental observations, the model suggests that cells in oxygen-deficient regions of the biofilm must still be synthesizing the signal compound. Second, the induction of quorum sensing is related to a critical biofilm depth; once the biofilm grows to the critical depth, quorum sensing is induced. Third, the critical biofilm depth varies with the pH of the surrounding fluid. Of particular interest is the prediction of a critical pH threshold, above which quorum sensing is not possible at any depth. These results highlight the importance of careful study of the relationship among metabolic activity of the bacterium, signal synthesis, and the chemistry of the surrounding environment.
Original language | English (US) |
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Pages (from-to) | 1053-1079 |
Number of pages | 27 |
Journal | Bulletin of Mathematical Biology |
Volume | 65 |
Issue number | 6 |
DOIs | |
State | Published - Nov 2003 |
Funding
We thank V. Volpert for his contribution to Section 3.2 . This work was supported in part by the National Institute of General Medical Sciences of the National Institutes of Health under grant #1R01-GM67248-01. Dr Kirisits is supported by the National Science Foundation under grant #9810378. Dr Parsek is also supported by the National Science Foundation under grant #MCB-0133-833, and by the Cystic Fibrosis Foundation under grant #PARSEK02IO. Appendix Figure 2 provides experimental evidence for the onset of quorum sensing at the substratum. The images show the onset of quorum sensing in a developing P. aeruginosa PAO1 biofilm. The cells are chromosomally-tagged with a lasB-GFP transcriptional reporter fusion and grown in a once-through flow cell bioreactor. This fusion was introduced onto the chromosome using mini-Tn5 transposition. The reporter strain fluoresces when the quorum sensing-induced lasB promoter is expressed. The figure clearly shows that cells buried within a developing microcolony are the first to express the lasB-GFP fusion. This fusion is induced by signal levels at ∼10 nM 3-oxododecanoyl-homoserine lactone in liquid culture. Single bacterial cells surrounding the microcolony are not yet fluorescing. Shortly after the onset of quorum sensing (∼5 h after the micrograph was taken in this system), all the cells in the biofilm were fluorescing. This indicates that once quorum sensing is induced in a subpopulation of the biofilm, the rest of the population is induced rapidly.
ASJC Scopus subject areas
- General Agricultural and Biological Sciences
- General Environmental Science
- General Mathematics
- General Biochemistry, Genetics and Molecular Biology
- General Neuroscience
- Pharmacology
- Computational Theory and Mathematics
- Immunology