| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Non-Markovian Effect on Gene Transcriptional Systems |
| Yan-Ling Feng1, Jian-Min Dong2, Xu-Lei Tang1** |
1The First Hospital of Lanzhou University, Lanzhou 730000
2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000
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| Cite this article: |
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Yan-Ling Feng, Jian-Min Dong, Xu-Lei Tang 2016 Chin. Phys. Lett. 33 108701 |
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Abstract The time delays in both synthesis and degradation reactions, reflecting the non-Markovian behavior, are introduced in the stochastic gene transcriptional dynamics. The effects of the time delays on the stationary probability distribution, mean first passage time and stochastic resonance are discussed in detail based on the delayed stochastic differential equation and the corresponding delay Fokker–Planck equation. The time delays in synthesis reactions and in degradation reactions play a completely opposite role. The time delay in synthesis (degradation) reaction enhances (reduces) the mean first passage time, and tends to reduce (enhance) the signal-to-noise ratio. Finally, the effect of Gauss-distributed time delays on the transcriptional system is explored to test whether the previous approximation of employing a certain delay time works well or not.
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Received: 27 May 2016
Published: 27 October 2016
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| PACS: |
87.17.-d
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(Cell processes)
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87.57.cm
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(Noise)
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11405223 and 81370970, and the Youth Innovation Promotion Association of Chinese Academy of Sciences. |
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