Termination Mechanisms of Turing Patterns in Growing Systems

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dc.contributor.authorMorgado, Gabriel
dc.contributor.authorNowakowski, Bogdan
dc.contributor.authorLemarchand, Annie
dc.contributor.organizationInstitute of Physical Chemistry, Polish Academy of Sciencesen
dc.contributor.organizationSorbonne Université, Centre National de la Recherche Scientifique (CNRS) Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Paris, Franceen
dc.contributor.organizationWarsaw University of Life Sciences (SGGW), Department of Physics, Warszawa, Polanden
dc.date.accessioned2022-03-15T12:24:32Z
dc.date.available2022-03-15T12:24:32Z
dc.date.issued2019-04-24
dc.description.abstractThe question of the termination of a periodic spatial structure of Turingtype in a growing system is addressed in a chemical engineering perspective and a biomimetic approach. The effects of the dynamical parameters on the stability and the wavelength of the structure are analytically studied and used to propose experimental conditions for which a Turing pattern stops by itself with a decreasing wavelength. The proposed mechanism is successfully checked by the numerical integration of the equations governing the dynamics of the activator and the inhibitor. We conclude that a local increase of the concentration of the reservoir which controls the injection rate of the inhibitor into the system can be used to achieve the appropriate termination of a Turing pattern.en
dc.identifier.citationMorgado, Gabriel & Signon, Laurence & Nowakowski, B. & Lemarchand, Annie. (2019). Termination Mechanisms of Turing Patterns in Growing Systems. Acta Physica Polonica B. 50. 1369. 10.5506/APhysPolB.50.1369.en
dc.identifier.doi10.5506/APhysPolB.50.1369
dc.identifier.issn1509-5770
dc.identifier.urihttps://open.icm.edu.pl/handle/123456789/21146
dc.language.isoen
dc.publisherJagiellonian University, Polish Academy of Art and Sciencesen
dc.rightsUznanie autorstwa 4.0 Międzynarodowe*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectnonlinear sciencesen
dc.subjectpattern formation and solitonsen
dc.titleTermination Mechanisms of Turing Patterns in Growing Systemsen
dc.typearticleen
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