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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| Published in | Chinese physics letters Vol. 33; no. 10; pp. 163 - 166 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.10.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0256-307X 1741-3540 |
| DOI | 10.1088/0256-307X/33/10/108701 |
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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. |
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| Bibliography: | 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. 11-1959/O4 |
| ISSN: | 0256-307X 1741-3540 |
| DOI: | 10.1088/0256-307X/33/10/108701 |