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arXiv · 1906.06290

Terminaison mechanisms of Turing patterns in growing systems

Gabriel Morgado·Laurence Signon·Bogdan Nowakowski·Annie Lemarchand
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Abstract

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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Gabriel Morgado, Laurence Signon, Bogdan Nowakowski, Annie Lemarchand. 2019-06-14. Terminaison mechanisms of Turing patterns in growing systems. https://doi.org/10.5506/aphyspolb.50.1369

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