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Complex Systems and Complexity Science  2023, Vol. 20 Issue (2): 38-42    DOI: 10.13306/j.1672-3813.2023.02.005
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Steady-state Analysis of the Gene Transcriptional Regulation System Under the Double-noise Excitation
ZHANG Meng, GUO Yongfeng, LIU Qianru
School of Mathematical Sciences, Tiangong University, Tianjin 300387, China
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Abstract  Noise is playing an important role in the regulation of gene transcription in biological systems. This paper studies the dynamics of gene transcription regulation system under the effects of multiplicative Gaussian white noise and additive Lévy noise. Firstly, the Lévy noise is simulated with the Janicki-Weron algorithm, and then the fourth-order Runge-Kutta algorithm is used to calculate the steady-state probability density(SPD) function of the protein concentration, then the steady state analysis of the gene transcriptional regulation system is carried out by the SPD figures. The study found that Gaussian noise intensity, Lévy noise intensity, stability index, and skewness parameter all can induce phase transitions in the gene transcription regulation system; At the same time, the increase of these parameters will cause the gene transcription regulation system to gradually the " on" state changes to the "off" state.
Key wordsgene transcriptional regulation system      Lévy noise      Gaussian white noise       steady-state probability density      phase transitions     
Received: 17 September 2021      Published: 21 July 2023
ZTFLH:  O414.2  
  O415.6  
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ZHANG Meng
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ZHANG Meng,GUO Yongfeng,LIU Qianru. Steady-state Analysis of the Gene Transcriptional Regulation System Under the Double-noise Excitation[J]. Complex Systems and Complexity Science, 2023, 20(2): 38-42.
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https://fzkx.qdu.edu.cn/EN/10.13306/j.1672-3813.2023.02.005     OR     https://fzkx.qdu.edu.cn/EN/Y2023/V20/I2/38