The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
Abstract
The capacity for multiple equilibria in an isothermal homogeneous continuous flow stirred tank reactor is determined by the reaction network. Examples show that there is a very delicate relationship between reaction network structure and the possibility of multiple equilibria. We suggest a new method for discriminating between networks that have the capacity for multiple equilibria and those that do not. Our method can be implemented using standard computer algebra software and gives answers for many reaction networks for which previous methods give no information.
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Cites
Construction of a genetic toggle switch in Escherichia coli
Gardner, T. S., Cantor, C. R., & Collins, J. J. (2000) · Nature · doi:10.1038/35002131 · Cited by 4,268
Robustness in simple biochemical networks
Barkai, N., & Leibler, S. (1997) · Nature · doi:10.1038/43199 · Cited by 1,513
Horn, F., & Jackson, R. (1972) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00251225 · Cited by 1,014
Feinberg, M. (1987) · Chemical Engineering Science · doi:10.1016/0009-2509(87)80099-4 · Cited by 744
Self-citationComplex balancing in general kinetic systems
Feinberg, M. (1972) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00255665 · Cited by 385
Self-citationThe existence and uniqueness of steady states for a class of chemical reaction networks
Feinberg, M. (1995) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00375614 · Cited by 367
Self-citationNecessary and sufficient conditions for complex balancing in chemical kinetics
Horn, F. (1972) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00255664 · Cited by 352
Elementary Chemical Reactor Analysis
(1989) · Elsevier eBooks · doi:10.1016/c2013-0-04290-9 · Cited by 335
Stability of Complex Reaction Networks
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Sontag, E. D. (2001) · IEEE Transactions on Automatic Control · doi:10.1109/9.935056 · Cited by 278
Cited by
Understanding bistability in complex enzyme-driven reaction networks
Craciun, G., Tang, Y., & Feinberg, M. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0602767103 · Cited by 300
Self-citationIdentifiability of chemical reaction networks
Craciun, G., & Pantea, C. (2008) · Journal of Mathematical Chemistry · doi:10.1007/s10910-007-9307-x · Cited by 146
A structural classification of candidate oscillatory and multistationary biochemical systems
Blanchini, F., Franco, E., & Giordano, G. (2014) · Bulletin of Mathematical Biology · doi:10.1007/s11538-014-0023-y · Cited by 54
Metadata
- Authors
- Craciun, G., & Feinberg, M.
- Venue
- SIAM Journal on Applied Mathematics
- Published
- 2005-01
- Volume
- 65
- Issue
- 5
- Pages
- 1526-1546
- ISSN
- 0036-1399 (ISSN-L)
- 1095-712X
- OpenAlex
- W1974915811
- Cited by
- 292
- References
- 26
- FWCI
- 13.89
- Type
- journal article
- Language
- en
- Open access
- closed
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- Craciun, G., & Feinberg, M. (2005). Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property. SIAM Journal on Applied Mathematics. https://doi.org/10.1137/s0036139904440278
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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