Literature DB >> 17741380

Modeling of turing structures in the chlorite--iodide--malonic Acid--starch reaction system.

I Lengyel, I R Epstein.   

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.

Entities:  

Year:  1991        PMID: 17741380     DOI: 10.1126/science.251.4994.650

Source DB:  PubMed          Journal:  Science        ISSN: 0036-8075            Impact factor:   47.728


  21 in total

1.  A chemical approach to designing Turing patterns in reaction-diffusion systems.

Authors:  I Lengyel; I R Epstein
Journal:  Proc Natl Acad Sci U S A       Date:  1992-05-01       Impact factor: 11.205

2.  Pattern formation of stationary transcellular ionic currents in Fucus.

Authors:  M Léonetti; E Dubois-Violette; F Homblé
Journal:  Proc Natl Acad Sci U S A       Date:  2004-07-01       Impact factor: 11.205

3.  Stationary multiple spots for reaction-diffusion systems.

Authors:  Juncheng Wei; Matthias Winter
Journal:  J Math Biol       Date:  2007-12-05       Impact factor: 2.259

4.  Towards an integrated experimental-theoretical approach for assessing the mechanistic basis of hair and feather morphogenesis.

Authors:  K J Painter; G S Hunt; K L Wells; J A Johansson; D J Headon
Journal:  Interface Focus       Date:  2012-02-15       Impact factor: 3.906

5.  Chemical morphogenesis: recent experimental advances in reaction-diffusion system design and control.

Authors:  István Szalai; Daniel Cuiñas; Nándor Takács; Judit Horváth; Patrick De Kepper
Journal:  Interface Focus       Date:  2012-03-28       Impact factor: 3.906

6.  The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology.

Authors:  Hans G Othmer; Kevin Painter; David Umulis; Chuan Xue
Journal:  Math Model Nat Phenom       Date:  2009-01-01       Impact factor: 4.157

7.  History dependence and the continuum approximation breakdown: the impact of domain growth on Turing's instability.

Authors:  Václav Klika; Eamonn A Gaffney
Journal:  Proc Math Phys Eng Sci       Date:  2017-03-15       Impact factor: 2.704

Review 8.  Reaction-diffusion processes at the nano- and microscales.

Authors:  Irving R Epstein; Bing Xu
Journal:  Nat Nanotechnol       Date:  2016-04       Impact factor: 39.213

9.  From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ.

Authors:  Andrew L Krause; Václav Klika; Thomas E Woolley; Eamonn A Gaffney
Journal:  J R Soc Interface       Date:  2020-01-15       Impact factor: 4.118

10.  Pattern Formation over Multigraphs.

Authors:  Andras Gyorgy; Murat Arcak
Journal:  IEEE Trans Netw Sci Eng       Date:  2017-07-21
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