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External Noise and External Signal Induced Transition of Gene Switch and Coherence Resonance in the Genetic Regulatory System

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Abstract

The transition of gene switch induced by external noises (multiplicative external noise and additive external noise) and external signals is investigated in the genetic regulatory system. Results show that the state-to-state transition of gene switch as well as resonant behaviors, such as the explicit coherence resonance (ECR), implicit coherence resonance (ICR) and control parameter coherence biresonance (CPCBR), can appear when noises are injected into the genetic regulatory system. The ECR is increased with the increase of the control parameter value when starting from the supercritical Hopf bifurcation parameter point, and there exists a critical control parameter value for the occurrence of ECR. However, the ICR is decreased as the control parameter value is increased when starting from the subcritical Hopf bifurcation point. In particular, the coherence of ECR is higher and more sensitive to noise than that of ICR. When an external signal is introduced into the system, the enhancement or suppression of the CPCBR and the number of peaks strongly depend on the frequency and amplitude of the external signal. Furthermore, the gene regulation system can selectively enhance or decrease the noise-induced oscillation signals at preferred frequency and amplitude of an external signal.

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Acknowledgements

The authors acknowledge the financial support of the Natural Science Foundation of Guangxi Province No: 2013GXNSFAA019019 and the Natural Science Foundation of Guangxi Province No: 2013GXNSFAA019041.

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Authors and Affiliations

  1. College of Chemistry and Material Science, Guangxi Teachers Education University, Nanning, 530001, China

    Jian-Cheng Shi, Min Luo, Tao Dong & Chu-Sheng Huang

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  1. Jian-Cheng Shi
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  2. Min Luo
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  3. Tao Dong
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  4. Chu-Sheng Huang
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Correspondence to Chu-Sheng Huang.

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Shi, JC., Luo, M., Dong, T. et al. External Noise and External Signal Induced Transition of Gene Switch and Coherence Resonance in the Genetic Regulatory System. Acta Biotheor 65, 135–150 (2017). https://doi.org/10.1007/s10441-017-9307-6

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