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Appearance and suppression of Turing patterns under a periodically forced feed
Turing instability is a general and straightforward mechanism of pattern formation in reaction–diffusion systems, and its relevance has been demonstrated in different biological phenomena. Still, there are many open questions, especially on the robustness of the Turing mechanism. Robust patterns mus...
Autores principales: | , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9814632/ https://www.ncbi.nlm.nih.gov/pubmed/36697882 http://dx.doi.org/10.1038/s42004-022-00800-6 |
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author | Dúzs, Brigitta Holló, Gábor Kitahata, Hiroyuki Ginder, Elliott Suematsu, Nobuhiko J. Lagzi, István Szalai, István |
author_facet | Dúzs, Brigitta Holló, Gábor Kitahata, Hiroyuki Ginder, Elliott Suematsu, Nobuhiko J. Lagzi, István Szalai, István |
author_sort | Dúzs, Brigitta |
collection | PubMed |
description | Turing instability is a general and straightforward mechanism of pattern formation in reaction–diffusion systems, and its relevance has been demonstrated in different biological phenomena. Still, there are many open questions, especially on the robustness of the Turing mechanism. Robust patterns must survive some variation in the environmental conditions. Experiments on pattern formation using chemical systems have shown many reaction–diffusion patterns and serve as relatively simple test tools to study general aspects of these phenomena. Here, we present a study of sinusoidal variation of the input feed concentrations on chemical Turing patterns. Our experimental, numerical and theoretical analysis demonstrates that patterns may appear even at significant amplitude variation of the input feed concentrations. Furthermore, using time-dependent feeding opens a way to control pattern formation. The patterns settled at constant feed may disappear, or new patterns may appear from a homogeneous steady state due to the periodic forcing. |
format | Online Article Text |
id | pubmed-9814632 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-98146322023-01-10 Appearance and suppression of Turing patterns under a periodically forced feed Dúzs, Brigitta Holló, Gábor Kitahata, Hiroyuki Ginder, Elliott Suematsu, Nobuhiko J. Lagzi, István Szalai, István Commun Chem Article Turing instability is a general and straightforward mechanism of pattern formation in reaction–diffusion systems, and its relevance has been demonstrated in different biological phenomena. Still, there are many open questions, especially on the robustness of the Turing mechanism. Robust patterns must survive some variation in the environmental conditions. Experiments on pattern formation using chemical systems have shown many reaction–diffusion patterns and serve as relatively simple test tools to study general aspects of these phenomena. Here, we present a study of sinusoidal variation of the input feed concentrations on chemical Turing patterns. Our experimental, numerical and theoretical analysis demonstrates that patterns may appear even at significant amplitude variation of the input feed concentrations. Furthermore, using time-dependent feeding opens a way to control pattern formation. The patterns settled at constant feed may disappear, or new patterns may appear from a homogeneous steady state due to the periodic forcing. Nature Publishing Group UK 2023-01-03 /pmc/articles/PMC9814632/ /pubmed/36697882 http://dx.doi.org/10.1038/s42004-022-00800-6 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Dúzs, Brigitta Holló, Gábor Kitahata, Hiroyuki Ginder, Elliott Suematsu, Nobuhiko J. Lagzi, István Szalai, István Appearance and suppression of Turing patterns under a periodically forced feed |
title | Appearance and suppression of Turing patterns under a periodically forced feed |
title_full | Appearance and suppression of Turing patterns under a periodically forced feed |
title_fullStr | Appearance and suppression of Turing patterns under a periodically forced feed |
title_full_unstemmed | Appearance and suppression of Turing patterns under a periodically forced feed |
title_short | Appearance and suppression of Turing patterns under a periodically forced feed |
title_sort | appearance and suppression of turing patterns under a periodically forced feed |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9814632/ https://www.ncbi.nlm.nih.gov/pubmed/36697882 http://dx.doi.org/10.1038/s42004-022-00800-6 |
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