Stability and reachability analysis of a hybrid model of luminescence in the marine bacterium Vibrio fischeri
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This paper addresses the mathematical modeling and analysis of the quorum sensing system found in unicellular bacteria that exhibit bioluminescence. The luminescence is governed by the expression of genes in the cell, which in turn is controlled by the density of cells in a population. The paper illustrates the application of standard tools in control theory and some recent tools in hybrid systems to the quorum sensing system, and demonstrates that bioluminescence can be modeled and understood as the output of a switched dynamical system.
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Copyright 2001 IEEE. Reprinted from Proceedings of the 40th IEEE Conference on Decision and Control 2001, Volume 1, pages 869-874. Publisher URL:http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=21114&page=10 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.