Beyond turing

• Verfasst von: Veerman, Frits [VerfasserIn]
• Verfasst von: Mercker, Moritz [VerfasserIn]
• Verfasst von: Marciniak-Czochra, Anna [VerfasserIn]
• Titel: Beyond turing
• Titelzusatz: far-from-equilibrium patterns and mechano-chemical feedback
• Verf.angabe: Frits Veerman, Moritz Mercker, Anna Marciniak-Czochra
• E-Jahr: 2021
• Jahr: 08 November 2021
• Umfang: 18 S.
• Fussnoten: Gesehen am 06.12.2021
• Titel Quelle: Enthalten in: Royal Society (London)Philosophical transactions of the Royal Society of London / A
• Ort Quelle: London : Royal Society, 1990
• Jahr Quelle: 2021
• Band/Heft Quelle: 379(2021), 2213, Artikel-ID 20200278, Seite 1-18
• ISSN Quelle: 1471-2962
• DOI: doi:10.1098/rsta.2020.0278
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: evolution equations
• Sach-SW: far-from-equilibrium patterns
• Sach-SW: mechano-chemical models
• Sach-SW: pattern formation
• Sach-SW: reaction-diffusion
• K10plus-PPN: 1780386699

Abstract

Turing patterns are commonly understood as specific instabilities of a spatially homogeneous steady state, resulting from activator-inhibitor interaction destabilized by diffusion. We argue that this view is restrictive and its agreement with biological observations is problematic. We present two alternatives to the classical Turing analysis of patterns. First, we employ the abstract framework of evolution equations to enable the study of far-from-equilibrium patterns. Second, we introduce a mechano-chemical model, with the surface on which the pattern forms being dynamic and playing an active role in the pattern formation, effectively replacing the inhibitor. We highlight the advantages of these two alternatives vis-à-vis the classical Turing analysis, and give an overview of recent results and future challenges for both approaches. - - This article is part of the theme issue ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’.