期刊
ANNALS OF APPLIED PROBABILITY
卷 23, 期 2, 页码 529-583出版社
INST MATHEMATICAL STATISTICS-IMS
DOI: 10.1214/12-AAP841
关键词
Reaction networks; chemical reactions; cellular processes; multiple time scales; Markov chains; averaging; scaling limits; quasi-steady state assumption
资金
- NSF [DMS 05-53687, 08-05793]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1106424] Funding Source: National Science Foundation
A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is developed for determining appropriate choices of the exponents that can be applied to large complex networks. When the scaling implies subnetworks have different time-scales, the subnetworks can be approximated separately, providing insight into the behavior of the full network through the analysis of these lower-dimensional approximations.
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