Dimensionality effects in Turing pattern formation
Soft Condensed Matter
2009-11-10 v1
Abstract
The problem of morphogenesis and Turing instability are revisited from the point of view of dimensionality effects. First the linear analysis of a generic Turing model is elaborated to the case of multiple stationary states, which may lead the system to bistability. The difference between two- and three-dimensional pattern formation with respect to pattern selection and robustness is discussed. Preliminary results concerning the transition between quasi-two-dimensional and three-dimensional structures are presented and their relation to experimental results are addressed.
Keywords
Cite
@article{arxiv.cond-mat/0306121,
title = {Dimensionality effects in Turing pattern formation},
author = {Teemu Leppanen and Mikko Karttunen and Kimmo Kaski and Rafael A. Barrio},
journal= {arXiv preprint arXiv:cond-mat/0306121},
year = {2009}
}