A new dimension to Turing patterns

Details A new dimension to Turing patterns A new dimension to Turing patterns

2002-11-14

arxiv.org/abs/cond-mat/0211283v2

Physica D, vol. 168-169C, pp. 35-44 (2002)

Physics

Condensed Matter

Statistical Mechanics

Movies available here at http://www.lce.hut.fi/research/polymer/turing.shtml

Scientific paper

10.1016/S0167-2789(02)00493-1

It is well known that simple reaction-diffusion systems can display very rich pattern formation behavior. Here we have studied two examples of such systems in three dimensions. First we investigate the morphology and stability of a generic Turing system in three dimensions and then the well-known Gray-Scott model. In the latter case, we added a small number of morphogen sources in the system in order to study its robustness and the formation of connections between the sources. Our results raise the question of whether Turing patterning can produce an inductive signaling mechanism for neuronal growth.

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