Fluctuating reaction rates and their application to problems of gene expression
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 67 巻 6 号
061906-1-061906-8 頁
2003-06 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
Fluctuating reaction rates and their application to problems of gene expression
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| 作成者 | |
| 収録物名 |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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| 巻 | 67 |
| 号 | 6 |
| 開始ページ | 061906-1 |
| 終了ページ | 061906-8 |
| 抄録 |
A reduced description is presented for noisy chemical reactions in small systems, such as cells. We show that, even when the number of molecules of a chemical species is small, its elimination from the description is possible provided that its characteristic time scale is short. The resulting effective chemical reaction has a reaction rate which fluctuates in time. The strength of the fluctuations depends on the time scale of the eliminated species as well as its variance. We derive the master equation of the reduced system, which includes additional terms of a diffusive kind, yielding a contribution towards fluctuations from the eliminated species. The stochastic kinetic equation for the reduced system is also derived. Finally, these results are applied to some problems of gene expression.
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| NDC分類 |
物理学 [ 420 ]
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
American Physical Society
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| 発行日 | 2003-06 |
| 権利情報 |
Copyright (c) 2003 The American Physical Society
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| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[ISSN] 1539-3755
[DOI] 10.1103/PhysRevE.67.061906
[NCID] AA11558033
[DOI] http://dx.doi.org/10.1103/PhysRevE.67.061906
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