Paper Info
Title
Finite state abstraction of a stochastic model of the lactose regulation system of Escherichia coli
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 ex- periments. 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 an higher level abstraction of this model, and show that macroscopic properties are retained in the abstraction. I. I NTRODUCTION
Year
DOI
Venue
2006
10.1109/CDC.2006.376739
conference on decision and control
Keywords
DocType
ISSN
Markov processes,biocontrol,continuous time systems,feedback,microorganisms,nonlinear dynamical systems,stability,sugar,Escherichia coli bacteria,continuous-time Markov chain,finite state abstraction,gene network,lactose regulation system,nonlinear dynamical system,positive feedback,stability,stochastic model
Conference
0743-1546
Citations 
PageRank 
References 
3
0.72
5
Authors
4
Name
Order
Citations
PageRank
A. Agung Julius139643.88
Ádám Halász220313.41
Vijay Kumar31158187.91
George Pappas46632540.42