Non-Markovian Effect on Gene Transcriptional Systems

The time delays in both synthesis and degradation reactions, reflecting the non-Markovian behavior, are intro- duced in the stochastic gene transcriptional dynamics. The effects of the time delays on the stationary proba- bility distribution, mean first passage time and stochastic resonance are disc...

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Bibliographic Details
Published in:Chinese physics letters 2016-10, Vol.33 (10), p.163-166
Main Author: 冯燕陵 董建敏 汤旭磊
Format: Article
Language:English
Subjects:
基因转录系统
非马尔可夫
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Summary:The time delays in both synthesis and degradation reactions, reflecting the non-Markovian behavior, are intro- duced in the stochastic gene transcriptional dynamics. The effects of the time delays on the stationary proba- bility 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 Causs-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.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/33/10/108701