The DOI matches its Crossref record.
Approximate accelerated stochastic simulation of chemically reacting systems
Open accessAbstract
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 10
- 1976, J. Comput. Phys., 22, 403, 10.1016/0021-9991(76)90041-3 · DOI · Paper page
- 1977, J. Phys. Chem., 81, 2340, 10.1021/j100540a008 · DOI · Paper page
- 1967, J. Appl. Probab., 4, 413, 10.2307/3212214 · DOI
- 1992, Physica A, 188, 404, 10.1016/0378-4371(92)90283-V · DOI · Paper page
- 1997, Proc. Natl. Acad. Sci. U.S.A., 94, 814, 10.1073/pnas.94.3.814 · DOI
- 1998, Genetics, 149, 1633, 10.1093/genetics/149.4.1633 · DOI · Paper page
- 1998, Phys. Rev. E, 58, 2598, 10.1103/PhysRevE.58.2598 · DOI
- 2000, J. Phys. Chem. A, 104, 1876, 10.1021/jp993732q · DOI · Paper page
- 2001, Nature (London), 409, 391, 10.1038/35053181 · DOI
- 2000, J. Chem. Phys., 113, 297, 10.1063/1.481811 · DOI
Cited by
Modelling and analysis of gene regulatory networks
Karlebach, G., & Shamir, R. (2008) · Nature Reviews Molecular Cell Biology · doi:10.1038/nrm2503 · Cited by 1,296
Control, exploitation and tolerance of intracellular noise
Rao, C. V., Wolf, D. M., & Arkin, A. P. (2002) · Nature · doi:10.1038/nature01258 · Cited by 1,006
Rules for Modeling Signal-Transduction Systems
Hlavacek, W. S., Faeder, J. R., Blinov, M. L., Posner, R. G., Hucka, M., & Fontana, W. (2006) · Science's STKE · doi:10.1126/stke.3442006re6 · Cited by 350
Matera, S., Schneider, W. F., Heyden, A., & Savara, A. (2019) · ACS Catalysis · doi:10.1021/acscatal.9b01234 · Cited by 222
McCollum, J. M., Peterson, G. D., Cox, C. D., Simpson, M. L., & Samatova, N. F. (2006) · Computational Biology and Chemistry · doi:10.1016/j.compbiolchem.2005.10.007 · Cited by 182
Metadata
- Authors
- Gillespie, D. T.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Approximate accelerated stochastic simulation of chemically reacting systems. https://app.cochat.ai/papers/10.1063/1.1378322
- The paper
- Gillespie, D. T. (2001). Approximate accelerated stochastic simulation of chemically reacting systems. The Journal of Chemical Physics. https://doi.org/10.1063/1.1378322
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.