Stiffness in stochastic chemically reacting systems: The implicit tau-leaping method

We show how stiffness manifests itself in the simulation of chemical reactions at both the continuous-deterministic level and the discrete-stochastic level. Existing discrete stochastic simulation methods, such as the stochastic simulation algorithm and the (explicit) tau-leaping method, are both ex...

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Bibliographic Details
Published in:The Journal of chemical physics 2003-12, Vol.119 (24), p.12784-12794
Main Authors: Rathinam, Muruhan, Petzold, Linda R., Cao, Yang, Gillespie, Daniel T.
Format: Article
Language:English
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Summary:We show how stiffness manifests itself in the simulation of chemical reactions at both the continuous-deterministic level and the discrete-stochastic level. Existing discrete stochastic simulation methods, such as the stochastic simulation algorithm and the (explicit) tau-leaping method, are both exceedingly slow for such systems. We propose an implicit tau-leaping method that can take much larger time steps for many of these problems.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.1627296