NDLI: Intrinsic noise induced state transition in coupled positive and negative feedback genetic circuit

Content Provider	IEEE Xplore Digital Library
Author	Pei Wang Jinhu Lu Yuhuan Zhang Ogorzalek, M.J.
Copyright Year	2011
Description	Author affiliation: Sch. Math. Sci., Capital Normal University, Beijing 100048, China (Yuhuan Zhang) \|\| Sch. Math. Stat., Wuhan University, 430072, China (Pei Wang) \|\| Acad. Math. Syst. Sci., Chinese Academy of Sciences, Beijing 100190, China (Jinhu Lu) \|\| Fac. Phys. Astron. Appl. Comput. Sci., Jagiellonian University, Krakow 30-059, Poland (Ogorzalek, M.J.)
Abstract	It is well known that gene regulatory circuits can be modeled by the deterministic or stochastic approach. In this paper, a three-component coupled positive and negative feedback genetic circuit is firstly modeled deterministically by Hill kinetics. Then, a corresponding stochastic model is also investigated by using Gellispie's stochastic simulation. Some typical dynamical behaviors of the genetic circuit are further discussed based on the bifurcation analysis of deterministic system, including monostability, bistability, excitability, and oscillation. This paper aims to further investigate the effect of intrinsic noise inherently in stochastic models on steady states transition. It includes: i) For the parameters in deterministically bistable region, intrinsic noise may induce bistable switch for the not too large system volume, which can be observed by the generation of a new stable steady state; ii) For the parameters in deterministically excitable region, intrinsic noise may induce periodic switch for the very large system volume, which can be observed by the stabilization of another unstable steady state and the switching between two stable states; iii) When time delays are introduced in these two models, similar phenomena can be observed. The above results will certainly increase the understanding of the inner relationships between different modeling for the genetic circuit. It sheds some light on the real- world engineering applications, such as the engineering design of synthetic circuits.
Starting Page	356
Ending Page	361
File Size	922523
Page Count	6
File Format	PDF
ISBN	9781457716614
e-ISBN	9781457716669
e-ISBN	9781457716652
DOI	10.1109/ISB.2011.6033178
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-02
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise Stochastic processes Switches Bifurcation Steady-state Mathematical model Oscillators
Content Type	Text
Resource Type	Article

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