Impact of time delay in a stochastic gene regulation network. (March 2017)

• Record Type: Journal Article
• Authors: Zhang, Chun; Du, Liping; Wang, Tonghuan; Yang, Tao; Zeng, Chunhua; Wang, Canjun
• Is Part Of: Chaos, solitons and fractals. Volume 96(2017)
• Page Start: 120
• Page End: 129
• Publication Date: 2017-03
• Subjects: Time delay -- Noises -- SPD -- MFPT -- SR -- Gene regulation network; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.01.009
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this paper, stationary probability distribution (SPD), mean first passage time (MFPT) and stochastic resonance (SR) phenomenon of an abstract model of the Myc/E2F/MiR-17-92 network with time delay and cross-correlation noise sources are investigated. The impacts of time delay τ, additive and multiplicative noise intensities Q and D, and cross-correlation intensity λ between noises on the SPD, MFPT, and SNR are discussed, respectively. Research results show that: (i) the high protein level (or ON) state is enhanced (or weaken) by the τ (or λ ); (ii) the MFPT as a function of Q or D exhibits a maximum, which is the signature of the noise enhanced stability (NES) of the ON state. The stability of the ON state can also enhance (or weaken) by the λ (or τ ); (iii) the existence of a maximum and a minimum in the signal-to-noise ratio (SNR) is identifying the characteristics of the SR and stochastic reverse-resonance (SRR) phenomenon, τ and λ enhance the SR and weaken the SRR phenomenon for SNR as a function of Q, while τ (or λ ) weakens (or enhances) the SR phenomenon for SNR as a function of D ; and (iv) the time delay weakens the SR, and causes the SR phenomenon to disappear for SNR as a function of λ .