Non-Markovian Effect on Gene Transcriptional Systems  

作　　者：冯燕陵 董建敏 汤旭磊 

机构地区：[1]The First Hospital of Lanzhou University [2]Institute of Modern Physics,Chinese Academy of Sciences

出　　处：《Chinese Physics Letters》2016年第10期163-166,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 11405223 and 81370970;the Youth Innovation Promotion Association of Chinese Academy of Sciences

摘　　要：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.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.

关 键 词：in IS of on 

分 类 号：Q78[生物学—分子生物学]