Termination Mechanisms of Turing Patterns in Growing Systems
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Data
2019-04-24Autor
Morgado, Gabriel
Nowakowski, Bogdan
Lemarchand, Annie
Metadane
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The 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.