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Approximate accelerated stochastic simulation of chemically reacting systems

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Gillespie, Daniel T.·2001·The Journal of Chemical Physics

Abstract

The stochastic simulation algorithm (SSA) is an essentially exact procedure for numerically simulating the time evolution of a well-stirred chemically reacting system. Despite recent major improvements in the efficiency of the SSA, its drawback remains the great amount of computer time that is often required to simulate a desired amount of system time. Presented here is the “τ-leap” method, an approximate procedure that in some circumstances can produce significant gains in simulation speed with acceptable losses in accuracy. Some primitive strategies for control parameter selection and error mitigation for the τ-leap method are described, and simulation results for two simple model systems are exhibited. With further refinement, the τ-leap method should provide a viable way of segueing from the exact SSA to the approximate chemical Langevin equation, and thence to the conventional deterministic reaction rate equation, as the system size becomes larger.

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Research works printed but not linked: 10

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Metadata

Authors
Gillespie, D. T.
Venue
The Journal of Chemical Physics
Published
2001-07-22
Volume
115
Issue
4
Pages
1716-1733
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2084924279
Cited by
1,884
References
0
FWCI
6.08
Type
journal article
Language
en
Open access
green

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