Modeling the role of feedback in the adaptive response of bacterial quorum sensing
File(s)quorumfbk(R1).pdf (1.8 MB)
Accepted version
Author(s)
Fan, Gaoyang
Bressloff, Paul C
Type
Journal Article
Abstract
Bacterial quorum sensing (QS) is a form of intercellular communication that relies on the production and detection of diffusive signaling molecules called autoinducers. Such a mechanism allows the bacteria to track their cell density in order to regulate group behavior, such as biofilm formation and bioluminescence. In a number of bacterial QS systems, including V. harveyi, multiple signaling pathways are integrated into a single phosphorylation–dephosphorylation cycle. In this paper, we propose a weight control mechanism, in which QS uses feedback loops to ‘decode’ the integrated signals by actively changing the sensitivity in different pathways. We first use a slow/fast analysis to reduce a single-cell model to a planar dynamical system involving the concentrations of phosphorylated signaling protein LuxU and a small non-coding RNA. In addition to identifying the weight control mechanism, we show that adding a feedback loop can lead to a bistable QS response in certain parameter regimes. We then combine the slow/fast analysis with a contraction mapping theorem in order to reduce a population model to an effective single-cell model, and show how the weight control mechanism allows bacteria to have a finer discrimination of their social and physical environment.
Date Issued
2019-05
Date Acceptance
2019-01-15
Citation
Bulletin of Mathematical Biology, 2019, 81 (5), pp.1479-1505
ISSN
0092-8240
Publisher
Springer
Start Page
1479
End Page
1505
Journal / Book Title
Bulletin of Mathematical Biology
Volume
81
Issue
5
Copyright Statement
Copyright © 2019 Springer-Verlag. This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s11538-019-00570-8
Identifier
http://dx.doi.org/10.1007/s11538-019-00570-8
Publication Status
Published
Date Publish Online
2019-01-28