The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Modeling and Simulating Chemical Reactions
Open accessAbstract
Abstract. Many students are familiar with the idea of modeling chemical reactions in terms of ordinary differential equations. However, these deterministic reaction rate equations are really a certain large-scale limit of a sequence of finer-scale probabilistic models. In studying this hierarchy of models, students can be exposed to a range of modern ideas in applied and computational mathematics. This article introduces some of the basic concepts in an accessible manner and points to some challenges that currently occupy researchers in this area. Short, downloadable MATLAB codes are listed and described.
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Cites
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Gillespie, D. T. (1977) · The Journal of Physical Chemistry · doi:10.1021/j100540a008 · Cited by 10,136
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Higham, D. J. (2001) · SIAM Review · doi:10.1137/s0036144500378302 · Cited by 3,154
Self-citationA new algorithm for Monte Carlo simulation of Ising spin systems
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Cited by
Catalyst: Fast and flexible modeling of reaction networks
Loman, T. E., Ma, Y., Ilin, V., Gowda, S., Korsbo, N., Yewale, N., Rackauckas, C., & Isaacson, S. A. (2023) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1011530 · Cited by 47
Metadata
- Authors
- Higham, D. J.
- Venue
- SIAM Review
- Published
- 2008-01-01
- Volume
- 50
- Issue
- 2
- Pages
- 347-368
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W2131766020
- Cited by
- 353
- References
- 36
- FWCI
- 10.23
- Type
- journal article
- Language
- en
- Open access
- green
- Funders
- EPSRC (GR/S62383/01)
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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.