Terminaison mechanisms of Turing patterns in growing systems
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.
Cite
@article{arxiv.1906.06290,
title = {Terminaison mechanisms of Turing patterns in growing systems},
author = {Gabriel Morgado and Laurence Signon and Bogdan Nowakowski and Annie Lemarchand},
journal= {arXiv preprint arXiv:1906.06290},
year = {2019}
}