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Pattern formation in a Turing's type model with minimal reactional complexity
MedLine Citation:
PMID:  10719635     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
Turing's original reaction network is systematically studied, particularly in what concerns: (a) Its ability to produce patterns in a predictable way. (b) The feasibility of its concentration-independent sink term. Despite the widely accepted view that Turing's original model presents some inherent inability to produce regular structures, the pattern formation properties of this model are found to obey the predictions of the corresponding Linear Stability Analysis in the one-dimension and in 'small' two-dimensional systems. An 'Enzymatic' variation of the original Turing's Model is introduced, where the unrealistic sink term is substituted by an enzymatic degradation. It seems that reaction networks of this type can inspire a promising search for chemical or biochemical experimental systems with pattern formation properties, even in the absence of high non-linearities. It is pointed out that temporal oscillations, impossible for the original Turing's Model, are stable and persistent in its Enzymatic variation.
Authors:
Almirantis
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Publication Detail:
Type:  JOURNAL ARTICLE    
Journal Detail:
Title:  Computers & chemistry     Volume:  24     ISSN:  0097-8485     ISO Abbreviation:  Comput. Chem.     Publication Date:  2000 Mar 
Date Detail:
Created Date:  2000-03-16     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  7607706     Medline TA:  Comput Chem     Country:  ENGLAND    
Other Details:
Languages:  Eng     Pagination:  159-70     Citation Subset:  -    
Affiliation:
Institute of Biology, NRC Demokritos, Athens, Greece. yalmir@mail.demokritos.gr
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