Dimensionality effects in Turing pattern formation

Details Dimensionality effects in Turing pattern formation Dimensionality effects in Turing pattern formation

2003-06-05

arxiv.org/abs/cond-mat/0306121v1

Int. J. Mod. Phys. B vol. 17, 5541-5553 (2003).

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1142/S0217979203023240

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.

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