The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction System
Abstract
Recent experiments on the chlorite-iodide-malonic acid-starch reaction in a gel reactor give the first evidence of the existence of the symmetry breaking, reaction-diffusion structures predicted by Turing in 1952. A five-variable model that describes the temporal behavior of the system is reduced to a two-variable model, and its spatial behavior is analyzed. Structures have been found with wavelengths that are in good agreement with those observed experimentally. The gel plays a key role by binding key iodine species, thereby creating the necessary difference in the effective diffusion coefficients of the activator and inhibitor species, iodide and chlorite ions, respectively.
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Citations
Cites
The chemical basis of morphogenesis
Turing, A. M. (1952) · Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences · doi:10.1098/rstb.1952.0012 · Cited by 11,733
Murray, J. D. (1989) · Springer eBooks · doi:10.1007/978-3-662-08539-4 · Cited by 2,090
Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
Castets, V., Dulos, E., Boissonade, J., & De Kepper, P. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.2953 · Cited by 1,238
A Pre-pattern formation mechanism for animal coat markings
Murray, J. D. (1981) · Journal of Theoretical Biology · doi:10.1016/0022-5193(81)90334-9 · Cited by 367
Handbook of Electrochemical Constants
Parsons, R., & Salzberg, H. W. (1960) · Journal of The Electrochemical Society · doi:10.1149/1.2427572 · Cited by 336
Parameter space for turing instability in reaction diffusion mechanisms: A comparison of models
Murray, J. D. (1982) · Journal of Theoretical Biology · doi:10.1016/0022-5193(82)90063-7 · Cited by 172
Turing instabilities with nearly equal diffusion coefficients
Pearson, J. E., & Horsthemke, W. (1989) · The Journal of Chemical Physics · doi:10.1063/1.456051 · Cited by 75
Turing bifurcation and stationary patterns in the ferroin-catalyzed Belousov-Zhabotinskii reaction
Rovinskii, A. B. (1987) · The Journal of Physical Chemistry · doi:10.1021/j100301a036 · Cited by 34
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Pattern Formation by Interacting Chemical Fronts
Lee, K. J., McCormick, W. D., Ouyang, Q., & Swinney, H. L. (1993) · Science · doi:10.1126/science.261.5118.192 · Cited by 379
A chemical approach to designing Turing patterns in reaction-diffusion systems.
Lengyel, I., & Epstein, I. R. (1992) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.89.9.3977 · Cited by 344
Self-citationSpatial pattern formation in chemical and biological systems
Maini, P. K., Painter, K. J., & Nguyen Phong Chau, H. (1997) · Journal of the Chemical Society, Faraday Transactions · doi:10.1039/a702602a · Cited by 334
Reaction–diffusion processes at the nano- and microscales
Epstein, I. R., & Xu, B. (2016) · Nature Nanotechnology · doi:10.1038/nnano.2016.41 · Cited by 284
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Metadata
- Authors
- Lengyel, I., & Epstein, I. R.
- Venue
- Science
- Published
- 1991-02-08
- Volume
- 251
- Issue
- 4994
- Pages
- 650-652
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2068769173
- Cited by
- 537
- References
- 8
- FWCI
- 16.72
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lengyel, I., & Epstein, I. R. (1991). Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction System. Science. https://doi.org/10.1126/science.251.4994.650
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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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