The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
The Quasi-Steady-State Assumption: A Case Study in Perturbation
Abstract
The quasi-steady-state assumption (QSSA) of biochemistry is studied as an approximation that is important in itself and also that exemplifies an approach to ODE systems with an initial fast transient. Simple estimates of the two relevant time scales of the underlying problem are made. These estimates lead to a dimensionless formulation containing a different small parameter from that which is customary. Earlier results on the QSSA are surveyed in the context of the new nondimensionalization. It is shown that more comprehensive and simpler error estimates can now be made. Some general methodological hints are drawn from this example
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Cites
Theory of Ordinary Differential Equations
Coddington, E. A., Levinson, N., & Teichmann, T. (1956) · Physics Today · doi:10.1063/1.3059875 · Cited by 6,124
(1978) · Biochemical Education · doi:10.1016/0307-4412(78)90049-3 · Cited by 5,046
Enzyme structure and mechanism
Fersht, A. (1977) · Medical Entomology and Zoology · Cited by 2,875
Enzyme structure and mechanism
Elmore, D. T. (1978) · Endeavour · doi:10.1016/0160-9327(78)90081-9 · Cited by 2,710
Applications of Centre Manifold Theory
Carr, J. (1981) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-5929-9 · Cited by 1,909
Asymptotic methods in analysis
de Bruijn, N. G. (1958) · International Linear Collider · Cited by 1,332
A Note on the Kinetics of Enzyme Action
Briggs, G. E., & Haldane, J. B. S. (1925) · Biochemical Journal · doi:10.1042/bj0190338 · Cited by 1,327
Haynes, L. J. (1983) · Endeavour · doi:10.1016/0160-9327(83)90064-9 · Cited by 799
Mathematics Applied to Deterministic Problems in the Natural Sciences
Lin, C. C., & Segel, L. A. (1988) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971347 · Cited by 591
Self-citationAsymptotic Methods in Analysis
Fedoryuk, M. V. (1989) · Encyclopaedia of Mathematical Sciences · doi:10.1007/978-3-642-61310-4_2 · Cited by 508
Cited by
Control of DNA Strand Displacement Kinetics Using Toehold Exchange
Zhang, D. Y., & Winfree, E. (2009) · Journal of the American Chemical Society · doi:10.1021/ja906987s · Cited by 1,444
Rao, C. V., & Arkin, A. P. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1545446 · Cited by 656
Classic and contemporary approaches to modeling biochemical reactions
Chen, W. W., Niepel, M., & Sorger, P. K. (2010) · Genes & Development · doi:10.1101/gad.1945410 · Cited by 286
Levine, H. (2001) · Bulletin of Mathematical Biology · doi:10.1006/bulm.2001.0240 · Cited by 268
Systems biology—an engineering perspective
Kremling, A., & Saez-Rodriguez, J. (2007) · Journal of Biotechnology · doi:10.1016/j.jbiotec.2007.02.009 · Cited by 76
Metadata
- Authors
- Segel, L. A., & Slemrod, M.
- Venue
- SIAM Review
- Published
- 1989-09
- Volume
- 31
- Issue
- 3
- Pages
- 446-477
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W2002164453
- Cited by
- 717
- References
- 19
- FWCI
- 4.45
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
