Název:
Irregularity of turing patterns in the Thomas model with a unilateral term
Autoři:
Rybář, Vojtěch ; Vejchodský, Tomáš Typ dokumentu: Příspěvky z konference Konference/Akce: Programs and Algorithms of Numerical Mathematics /17./, Dolní Maxov (CZ), 2014-06-08 / 2014-06-13
Rok:
2015
Jazyk:
eng
Abstrakt: In this contribution we add a unilateral term to the Thomas model and investigate the resulting Turing patterns. We show that the unilateral term yields nonsymmetric and irregular patterns. This contrasts with the approximately symmetric and regular patterns of the classical Thomas model. In addition, the unilateral term yields Turing patterns even for smaller ratio of diffusion constants. These conclusions accord with the recent findings about the influence of the unilateral term in a model for mammalian coat patterns. This indicates that the observed effects of the unilateral term are general and apply to a variety of systems.
Klíčová slova:
reactin-diffusion system; Thomas model; Turing instability Číslo projektu: 328008 Zdrojový dokument: Programs and algorithms of numerical mathematics 17. Proceedings of seminar, ISBN 978-80-85823-64-6 Poznámka: Související webová stránka: http://hdl.handle.net/10338.dmlcz/702683
Instituce: Matematický ústav AV ČR
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Informace o dostupnosti dokumentu:
Dokument je dostupný v repozitáři Akademie věd. Původní záznam: http://hdl.handle.net/11104/0246501