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Non-Markovian Effect on Gene Transcriptional Systems
Feng, Yan-Ling1; Dong, Jian-Min2; Tang, Xu-Lei1
刊名CHINESE PHYSICS LETTERS
2016-10-01
卷号33页码:4
ISSN号0256-307X
DOI10.1088/0256-307X/33/10/108701
英文摘要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.
资助项目National Natural Science Foundation of China[11405223] ; National Natural Science Foundation of China[81370970] ; Youth Innovation Promotion Association of Chinese Academy of Sciences
WOS关键词BISTABLE KINETIC-MODEL ; EXACT STOCHASTIC SIMULATION ; MEAN 1ST-PASSAGE TIME ; CORRELATED NOISES ; REGULATORY SYSTEM ; DELAY ; OSCILLATOR ; NETWORKS ; RESONANCE ; DRIVEN
WOS研究方向Physics
语种英语
出版者IOP PUBLISHING LTD
WOS记录号WOS:000386125200039
资助机构National Natural Science Foundation of China ; Youth Innovation Promotion Association of Chinese Academy of Sciences
内容类型期刊论文
源URL[http://119.78.100.186/handle/113462/43564]  
专题中国科学院近代物理研究所
通讯作者Tang, Xu-Lei
作者单位1.Lanzhou Univ, Hosp 1, Lanzhou 730000, Peoples R China
2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
推荐引用方式
GB/T 7714
Feng, Yan-Ling,Dong, Jian-Min,Tang, Xu-Lei. Non-Markovian Effect on Gene Transcriptional Systems[J]. CHINESE PHYSICS LETTERS,2016,33:4.
APA Feng, Yan-Ling,Dong, Jian-Min,&Tang, Xu-Lei.(2016).Non-Markovian Effect on Gene Transcriptional Systems.CHINESE PHYSICS LETTERS,33,4.
MLA Feng, Yan-Ling,et al."Non-Markovian Effect on Gene Transcriptional Systems".CHINESE PHYSICS LETTERS 33(2016):4.
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