Fluctuating reaction rates and their application to problems of gene expression
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics Volume 67 Issue 6
Page 061906-1-061906-8
published_at 2003-06
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| File | |
| Title ( eng ) |
Fluctuating reaction rates and their application to problems of gene expression
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| Creator | |
| Source Title |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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| Volume | 67 |
| Issue | 6 |
| Start Page | 061906-1 |
| End Page | 061906-8 |
| Abstract |
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 |
Physics [ 420 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
American Physical Society
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| Date of Issued | 2003-06 |
| Rights |
Copyright (c) 2003 The American Physical Society
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| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[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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