Literature DB >> 19159264

Deterministic limit of stochastic chemical kinetics.

Daniel T Gillespie1.   

Abstract

An analysis is presented of the approximating assumptions that underlie a recently proposed derivation of the traditional deterministic reaction rate equation from a discrete-stochastic formulation of chemical kinetics. It is shown that if the system is close enough to the thermodynamic limit, in which the molecular populations and the containing volume all approach infinity in such a way that the molecular concentrations remain finite, then the required approximating assumptions will be justified for practically all spatially homogeneous systems that one is likely to encounter.

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Year:  2009        PMID: 19159264      PMCID: PMC2651820          DOI: 10.1021/jp806431b

Source DB:  PubMed          Journal:  J Phys Chem B        ISSN: 1520-5207            Impact factor:   2.991


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