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Impact of time delay in a stochastic gene regulation network

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机构: [a]Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China [b]School of Physics and Information Technology, Shaanxi Normal University, Xian 710062, China [c]Department of Anorectal Surgert, the 1st Peoples Hospital of Yunnan Province, Kunhua Hospital Affiliated to Kunming Univesity of Science and Techhologey, Kunming 650032, China [d]Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China
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关键词: Gene regulation network MFPT Noises SPD SR Time delay

摘要:
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. © 2017 Elsevier Ltd

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出版当年[2017]版:
大类 | 3 区 物理
小类 | 3 区 数学跨学科应用 3 区 物理:数学物理 3 区 物理:综合
最新[2023]版:
大类 | 1 区 数学
小类 | 1 区 数学跨学科应用 1 区 物理:数学物理 1 区 物理:综合
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第一作者机构: [a]Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China [b]School of Physics and Information Technology, Shaanxi Normal University, Xian 710062, China
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