Reducing the master equations for noisy chemical reactions
Journal of Chemical Physics Volume 119 Issue 13
Page 6629-6634
published_at 2003-10-01
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| File | |
| Title ( eng ) |
Reducing the master equations for noisy chemical reactions
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| Creator | |
| Source Title |
Journal of Chemical Physics
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| Volume | 119 |
| Issue | 13 |
| Start Page | 6629 |
| End Page | 6634 |
| Abstract |
A reduced description for noisy chemical reactions in small systems is presented. By applying the projection operator formalism to the chemical master equation, we show that even when the number of molecules of an intermediate chemical species is small, its elimination from the description is possible provided that its characteristic time scale is short. The resulting master equation of the reduced system includes additional terms of a diffusive kind. The characteristic time of the eliminated chemical species contributes toward the fluctuations of the downstream chemical species, as well as the dispersion of the eliminated component does.
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| NDC |
Physics [ 420 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
American Institute of Physics
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| Date of Issued | 2003-10-01 |
| Rights |
Copyright (c) 2001 American Institute of Physics.
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| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0021-9606
[DOI] 10.1063/1.1603738
[NCID] AA00694991
[DOI] http://dx.doi.org/10.1063/1.1603738
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