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Article Dans Une Revue Acta Physica Polonica B Année : 2019

Termination Mechanisms of Turing Patterns in Growing Systems

Résumé

The question of the termination of a periodic spatial structure of Turing type 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.
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Dates et versions

hal-02324016 , version 1 (21-10-2019)

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Gabriel Morgado, Laurence Signon, Bogdan Nowakowski, Annie Lemarchand. Termination Mechanisms of Turing Patterns in Growing Systems. Acta Physica Polonica B, 2019, 50 (7), pp.1369. ⟨10.5506/APhysPolB.50.1369⟩. ⟨hal-02324016⟩
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