R-leaping: accelerating the stochastic simulation algorithm by reaction leaps

A novel algorithm is proposed for the acceleration of the exact stochastic simulation algorithm by a predefined number of reaction firings (R-leaping) that may occur across several reaction channels. In the present approach, the numbers of reaction firings are correlated binomial distributions and t...

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Bibliographic Details
Published in:The Journal of chemical physics Vol. 125; no. 8; p. 084103
Main Authors: Auger, Anne, Chatelain, Philippe, Koumoutsakos, Petros
Format: Journal Article
Language:English
Published: United States 28.08.2006
ISSN:0021-9606
Online Access:Get more information
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Summary:A novel algorithm is proposed for the acceleration of the exact stochastic simulation algorithm by a predefined number of reaction firings (R-leaping) that may occur across several reaction channels. In the present approach, the numbers of reaction firings are correlated binomial distributions and the sampling procedure is independent of any permutation of the reaction channels. This enables the algorithm to efficiently handle large systems with disparate rates, providing substantial computational savings in certain cases. Several mechanisms for controlling the accuracy and the appearance of negative species are described. The advantages and drawbacks of R-leaping are assessed by simulations on a number of benchmark problems and the results are discussed in comparison with established methods.
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ISSN:0021-9606
DOI:10.1063/1.2218339