A Cell-Based Model for Quorum Sensing in Heterogeneous Bacterial Colonies

Although bacteria are unicellular organisms, they have the ability to act in concert by synthesizing and detecting small diffusing autoinducer molecules. The phenomenon, known as quorum sensing, has mainly been proposed to serve as a means for cell-density measurement. Here, we use a cell-based model of growing bacterial microcolonies to investigate a quorum-sensing mechanism at a single cell level. We show that the model indeed predicts a density-dependent behavior, highly dependent on local cell-clustering and the geometry of the space where the colony is evolving. We analyze the molecular network with two positive feedback loops to find the multistability regions and show how the quorum-sensing mechanism depends on different model parameters. Specifically, we show that the switching capability of the network leads to more constraints on parameters in a natural environment where the bacteria themselves produce autoinducer than compared to situations where autoinducer is introduced externally. The cell-based model also allows us to investigate mixed populations, where non-producing cheater cells are shown to have a fitness advantage, but still cannot completely outcompete producer cells. Simulations, therefore, are able to predict the relative fitness of cheater cells from experiments and can also display and account for the paradoxical phenomenon seen in experiments; even though the cheater cells have a fitness advantage in each of the investigated groups, the overall effect is an increase in the fraction of producer cells. The cell-based type of model presented here together with high-resolution experiments will play an integral role in a more explicit and precise comparison of models and experiments, addressing quorum sensing at a cellular resolution.

[1]  K. Nealson,et al.  Bacterial bioluminescence: its control and ecological significance , 1979, Microbiological reviews.

[2]  Stanislas Leibler,et al.  Simpson's Paradox in a Synthetic Microbial System , 2009, Science.

[3]  Bonnie L Bassler,et al.  Small Talk Cell-to-Cell Communication in Bacteria , 2002, Cell.

[4]  Megan L. Boulette,et al.  More than a signal: non-signaling properties of quorum sensing molecules. , 2009, Trends in microbiology.

[5]  Bonnie L Bassler,et al.  Chemical communication among bacteria , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Henrik Jönsson,et al.  Self-Organization in High-Density Bacterial Colonies: Efficient Crowd Control , 2007, PLoS biology.

[7]  Chris D Cox,et al.  Analysis of noise in quorum sensing. , 2003, Omics : a journal of integrative biology.

[8]  P. Swain,et al.  Gene Regulation at the Single-Cell Level , 2005, Science.

[9]  A. Griffin,et al.  Cooperation and conflict in quorum-sensing bacterial populations , 2007, Nature.

[10]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[11]  E. Meighen,et al.  Autoregulation of luxR: the Vibrio harveyi lux‐operon activator functions as a repressor , 1996, Molecular microbiology.

[12]  Burkhard A. Hense,et al.  Does efficiency sensing unify diffusion and quorum sensing? , 2007, Nature Reviews Microbiology.

[13]  T. Baldwin,et al.  Positive autoregulation of the Vibrio fischeri luxR gene. LuxR and autoinducer activate cAMP-catabolite gene activator protein complex-independent and -dependent luxR transcription. , 1992, The Journal of biological chemistry.

[14]  William H. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[15]  G. J. Velicer Social strife in the microbial world. , 2003, Trends in microbiology.

[16]  E S Kempner,et al.  Aspects of Light Production by Photobacterium fischeri , 1968, Journal of bacteriology.

[17]  A. Levchenko,et al.  Robust and sensitive control of a quorum-sensing circuit by two interlocked feedback loops , 2008, Molecular systems biology.

[18]  S. Kjelleberg,et al.  Luminescence control in the marine bacterium Vibrio fischeri: An analysis of the dynamics of lux regulation. , 2000, Journal of molecular biology.

[19]  F. Wisniewski-Dyé,et al.  Cell-cell signalling in bacteria: not simply a matter of quorum. , 2009, FEMS microbiology ecology.

[20]  R. Austin,et al.  Motion to Form a Quorum , 2003, Science.

[21]  A. van Oudenaarden,et al.  Quantitative time-lapse fluorescence microscopy in single cells. , 2009, Annual review of cell and developmental biology.

[22]  M. Travisano,et al.  Strategies of microbial cheater control. , 2004, Trends in microbiology.

[23]  D. Pritchard,et al.  Quorum sensing and the population-dependent control of virulence. , 2000, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[24]  Francoise M. Blachere,et al.  Interpopulation signaling via N-acyl-homoserine lactones among bacteria in the wheat rhizosphere , 1998 .

[25]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[26]  K. Nealson,et al.  Bacterial bioluminescence: Isolation and genetic analysis of functions from Vibrio fischeri , 1983, Cell.

[27]  W. Hamilton The Evolution of Altruistic Behavior , 1963, The American Naturalist.

[28]  N. Darnton,et al.  Influence of topology on bacterial social interaction , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[29]  A. Griffin,et al.  Social evolution theory for microorganisms , 2006, Nature Reviews Microbiology.

[30]  R. Redfield Is quorum sensing a side effect of diffusion sensing? , 2002, Trends in microbiology.

[31]  Andre Levchenko,et al.  An Explicit Spatial Model of Yeast Microcolony Growth , 2005, Multiscale Model. Simul..

[32]  M. Surette,et al.  Communication in bacteria: an ecological and evolutionary perspective , 2006, Nature Reviews Microbiology.

[33]  E. Greenberg,et al.  Sociomicrobiology: the connections between quorum sensing and biofilms. , 2005, Trends in microbiology.

[34]  A. Goryachev,et al.  Systems analysis of a quorum sensing network: design constraints imposed by the functional requirements, network topology and kinetic constants. , 2006, Bio Systems.

[35]  P. Dunlap,et al.  Requirement for autoinducer in transcriptional negative autoregulation of the Vibrio fischeri luxR gene in Escherichia coli , 1989, Journal of bacteriology.