Global convergence of quorum-sensing networks
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Russo-2010-Global convergence o.pdf
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1.17 MB
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Adobe PDF
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Author(s)
Slotine, Jean-Jacques E.
Russo, Giovanni
Date Issued
October 2010
Journal
Physical Review E
Publisher
American Physical Society
Citation
Russo, Giovanni, and Jean Jacques E. Slotine. “Global convergence of quorum-sensing networks.” Physical Review E 82.4 (2010): 041919. © 2010 The American Physical Society.
Version
Final published version
Abstract
In many natural synchronization phenomena, communication between individual elements occurs not directly but rather through the environment. One of these instances is bacterial quorum sensing, where bacteria release signaling molecules in the environment which in turn are sensed and used for population coordination. Extending this motivation to a general nonlinear dynamical system context, this paper analyzes synchronization phenomena in networks where communication and coupling between nodes are mediated by shared dynamical quantities, typically provided by the nodes’ environment. Our model includes the case when the dynamics of the shared variables themselves cannot be neglected or indeed play a central part. Applications to examples from system biology illustrate the approach.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Nonlinear Systems Laboratory
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.82.041919
