A new dimension to Turing patterns

Teemu Leppänen, Mikko Karttunen, Kimmo Kaski, R.A. Barrio, Limei Zhang

    Research output: Contribution to journalArticleScientificpeer-review

    23 Citations (Scopus)

    Abstract

    It is well known that simple reaction-diffusion systems can display very rich pattern formation behaviour. 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 signalling mechanism for neuronal growth. (C) 2002 Elsevier Science B.V. All rights reserved.
    Original languageEnglish
    Article numberPII S0167-2789(02)00493-1
    Pages (from-to)35-44
    JournalPHYSICA D: NONLINEAR PHENOMENA
    Volume168-169
    DOIs
    Publication statusPublished - 2002
    MoE publication typeA1 Journal article-refereed

    Keywords

    • mathematical biology
    • pattern formation
    • reaction-diffusion systemMathematical biology; Pattern formation; Reaction-diffusion system

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