Role of complexing agents in the appearance of Turing patterns

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In this paper we study a four-species reaction-diffusion system where Turing patterns are stabilized by the presence of fast reversible reactions between the morphogens and two different mobile complexing agents (CAs) that are not necessarily in excess. We provide a quantitative explanation of how t...

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Autor principal: Strier, Damián
Publicado: 2004
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v69_n6_p10_Strier
http://hdl.handle.net/20.500.12110/paper_1063651X_v69_n6_p10_Strier
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_1063651X_v69_n6_p10_Strier
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spelling paper:paper_1063651X_v69_n6_p10_Strier2023-06-08T16:04:02Z Role of complexing agents in the appearance of Turing patterns Strier, Damián In this paper we study a four-species reaction-diffusion system where Turing patterns are stabilized by the presence of fast reversible reactions between the morphogens and two different mobile complexing agents (CAs) that are not necessarily in excess. We provide a quantitative explanation of how the interaction with the CA changes the size of the Turing space making it possible to observe patterns even in a region where the free diffusion coefficients of the relevant species are equal, as is usually the case in real systems. Our analytical treatment gives a series of mathematical relations that can be helpful for those designing experiments where Turing patterns are expected to appear. We also show how the mobility of CAs affect the characteristic size of the pattern. Finally, we provide an example of biological interest in order to illustrate the main procedures and results. © 2004 The American Physical Society. Fil:Strier, D.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v69_n6_p10_Strier http://hdl.handle.net/20.500.12110/paper_1063651X_v69_n6_p10_Strier
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In this paper we study a four-species reaction-diffusion system where Turing patterns are stabilized by the presence of fast reversible reactions between the morphogens and two different mobile complexing agents (CAs) that are not necessarily in excess. We provide a quantitative explanation of how the interaction with the CA changes the size of the Turing space making it possible to observe patterns even in a region where the free diffusion coefficients of the relevant species are equal, as is usually the case in real systems. Our analytical treatment gives a series of mathematical relations that can be helpful for those designing experiments where Turing patterns are expected to appear. We also show how the mobility of CAs affect the characteristic size of the pattern. Finally, we provide an example of biological interest in order to illustrate the main procedures and results. © 2004 The American Physical Society.
author Strier, Damián
spellingShingle Strier, Damián
Role of complexing agents in the appearance of Turing patterns
author_facet Strier, Damián
author_sort Strier, Damián
title Role of complexing agents in the appearance of Turing patterns
title_short Role of complexing agents in the appearance of Turing patterns
title_full Role of complexing agents in the appearance of Turing patterns
title_fullStr Role of complexing agents in the appearance of Turing patterns
title_full_unstemmed Role of complexing agents in the appearance of Turing patterns
title_sort role of complexing agents in the appearance of turing patterns
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v69_n6_p10_Strier
http://hdl.handle.net/20.500.12110/paper_1063651X_v69_n6_p10_Strier
work_keys_str_mv AT strierdamian roleofcomplexingagentsintheappearanceofturingpatterns
_version_ 1768544515329622016

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