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Efficient step size selection for the tau-leaping simulation method
Abstract
The tau-leaping method of simulating the stochastic time evolution of a well-stirred chemically reacting system uses a Poisson approximation to take time steps that leap over many reaction events. Theory implies that tau leaping should be accurate so long as no propensity function changes its value “significantly” during any time step τ. Presented here is an improved procedure for estimating the largest value for τ that is consistent with this condition. This new τ-selection procedure is more accurate, easier to code, and faster to execute than the currently used procedure. The speedup in execution will be especially pronounced in systems that have many reaction channels.
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Citations
Cited by
Roberts, E., Stone, J. E., & Luthey‐Schulten, Z. (2013) · Journal of Computational Chemistry · doi:10.1002/jcc.23130 · Cited by 117
Doyle, F. J., & Stelling, J. (2006) · Journal of The Royal Society Interface · doi:10.1098/rsif.2006.0143 · Cited by 60
Simoni, G., Reali, F., Priami, C., & Marchetti, L. (2019) · WIREs Systems Biology and Medicine · doi:10.1002/wsbm.1459 · Cited by 26
Hössjer, O., Bechly, G., & Gauger, A. (2018) · Springer Proceedings in Mathematics & Statistics · doi:10.1007/978-3-030-02825-1_12 · Cited by 8
Metadata
- Authors
- Cao, Y., Gillespie, D. T., & Petzold, L. R.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2006-01-28
- Volume
- 124
- Issue
- 4
- Pages
- 044109-044109
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2011432832
- Cited by
- 628
- References
- 0
- FWCI
- 12.03
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Efficient step size selection for the tau-leaping simulation method. https://app.cochat.ai/papers/10.1063/1.2159468
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- Cao, Y., Gillespie, D. T., & Petzold, L. R. (2006). Efficient step size selection for the tau-leaping simulation method. The Journal of Chemical Physics. https://doi.org/10.1063/1.2159468
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