期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
卷 17, 期 6, 页码 1775-1794出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2012.17.1775
关键词
Chemical master equations; slow manifold reduction; stochastic chemical reactions; Markov processes; autocatalytic reactions; spectral gap theory
资金
- NSF grant [DMS-0602219, DMS-0718036]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1122297] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1148230] Funding Source: National Science Foundation
Keizer's paradox refers to the observation that deterministic and stochastic descriptions of chemical reactions can predict vastly different long term outcomes. In this paper, we use slow manifold analysis to help resolve this paradox for four variants of a simple autocatalytic reaction. We also provide rigorous estimates of the spectral gap of important linear operators, which establishes parameter ranges in which the slow manifold analysis is appropriate.
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