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Título del libro: Physics Of Emergence And Organization
Título del capítulo: Turing systems: A general model for complex patterns in nature

Autores UNAM:
RAFAEL ANGEL BARRIO PAREDES;
Autores externos:

Idioma:
Inglés
Año de publicación:
2008
Palabras clave:

Biophysics; Complex systems; Nonlinear systems; Turing systems


Resumen:

More than half a century ago Alan Turing showed that a system of nonlinear reaction-diffusion equations could produce spatial patterns that are stationary and robust, a phenomenon known as "diffusion driven instability". This remarkable fact was largely ignored for twenty years. However, in the last decade, Turing systems have been a matter of intense and active research, because they are suitable to model a wide variety of phenomena found in Nature, ranging from Turing?s original idea of describing morphogenesis from an egg, and applications to the colouring of skins of animals, to the physics of chemical reactors and catalyzers, the physiology of the heart, semiconductor devices, and even to geological formations. In this paper I review the main properties of the Turing instability using a generic reaction-diffusion model, and I give examples of recent applications of Turing models to different problems of pattern formation. © 2008 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.


Entidades citadas de la UNAM: