DocumentCode :
3491731
Title :
Intrinsic noise induced state transition in coupled positive and negative feedback genetic circuit
Author :
Wang, Pei ; Lü, Jinhu ; Zhang, Yuhuan ; Ogorzalek, Maciej J.
Author_Institution :
Sch. Math. Stat., Wuhan Univ., Wuhan, China
fYear :
2011
fDate :
2-4 Sept. 2011
Firstpage :
356
Lastpage :
361
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.
Keywords :
equivalent circuits; genetics; molecular biophysics; noise; stochastic processes; Gellispie´s stochastic simulation; Hill kinetics; coupled genetic circuit; gene regulatory circuits; intrinsic noise induced state transition; negative feedback genetic circuit; positive feedback genetic circuit; Bifurcation; Mathematical model; Noise; Oscillators; Steady-state; Stochastic processes; Switches;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Systems Biology (ISB), 2011 IEEE International Conference on
Conference_Location :
Zhuhai
Print_ISBN :
978-1-4577-1661-4
Electronic_ISBN :
978-1-4577-1665-2
Type :
conf
DOI :
10.1109/ISB.2011.6033178
Filename :
6033178
Link To Document :
بازگشت