A new dimension to Turing patterns

T. Leppänen, M.E.J. Karttunen, K. Kaski, R.A. Barrio, L. Zhang

    Research output: Contribution to journalArticleAcademicpeer-review

    25 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. Keywords: Pattern formation; Reaction–diffusion system; Mathematical biology
    Original languageEnglish
    Pages (from-to)35-44
    JournalPhysica D : Nonlinear Phenomena
    Volume168-169
    DOIs
    Publication statusPublished - 2002

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