• DOI:10.5506/APhysPolB.50.1369
• Corpus ID: 189897957

Termination Mechanisms of Turing Patterns in Growing Systems

@article{Morgado2019TerminationMO,
  title={Termination Mechanisms of Turing Patterns in Growing Systems},
  author={Gabriel Morgado and Laurence Signon and Bogdan Nowakowski and Annie Lemarchand},
  journal={Acta Physica Polonica B},
  year={2019}
}

• G. Morgado, L. Signon, +1 author A. Lemarchand
• Published 14 June 2019
• Materials Science
• Acta Physica Polonica B

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.