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Article
Finite state abstraction of a stochastic model of the lactose regulation system of Escherichia coli
Departmental Papers (MEAM)
  • Agung Julius, University of Pennsylvania
  • Ádám Halász, University of Pennsylvania
  • R. Vijay Kumar, University of Pennsylvania
  • George J Pappas, University of Pennsylvania
Document Type
Conference Paper
Date of this Version
12-15-2006
Comments
Copyright 2006 IEEE. Reprinted from Proceedings of the 45th IEEE Conference on Decision & Control 2006.

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Abstract
This paper focuses on the lactose regulation system in Escherichia coli bacteria, one of the most extensively studied examples of positive feedback in a naturally occurring gene network. State-of-the-art nonlinear dynamical system models predict a bi-stability phenomenon that is confirmed in experiments. However, such deterministic models fail to explain experimental observations of spontaneous transition between the two stable states in the system and the simultaneous occurrence of both steady states in a population of cells. In this paper, we propose a stochastic model that explains this phenomenon. Furthermore, we also extract a coarser two-state continuous-time Markov chain as a higher level abstraction of this model, and show that macroscopic properties are retained in the abstraction.
Citation Information
Agung Julius, Ádám Halász, R. Vijay Kumar and George J Pappas. "Finite state abstraction of a stochastic model of the lactose regulation system of Escherichia coli" (2006)
Available at: http://works.bepress.com/george_pappas/220/