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Stability and reachability analysis of a hybrid model of luminescence in the marine bacterium Vibrio fischeri
Departmental Papers (MEAM)
  • Calin Belta, University of Pennsylvania
  • Jonathan Schug, University of Pennsylvania
  • Thao Dang, University of Pennsylvania
  • R. Vijay Kumar, University of Pennsylvania
  • George J Pappas, University of Pennsylvania
  • Harvey Rubin, University of Pennsylvania
  • Paul Dunlap, University of Michigan
Document Type
Conference Paper
Date of this Version
Copyright 2001 IEEE. Reprinted from Proceedings of the 40th IEEE Conference on Decision and Control 2001, Volume 1, pages 869-874.
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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.

Citation Information
Calin Belta, Jonathan Schug, Thao Dang, R. Vijay Kumar, et al.. "Stability and reachability analysis of a hybrid model of luminescence in the marine bacterium Vibrio fischeri" (2001)
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