Dimensionality effects in Turing pattern formation

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

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9 Citations (Scopus)

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: Pattern formation; reaction-diffusion system; mathematical biology
Original languageEnglish
Pages (from-to)5541-5553
JournalInternational Journal of Modern Physics B
Volume17
Issue number29
DOIs
Publication statusPublished - 2003
Externally publishedYes

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    Leppänen, T., Karttunen, M. E. J., Kaski, K., & Barrio, R. A. (2003). Dimensionality effects in Turing pattern formation. International Journal of Modern Physics B, 17(29), 5541-5553. https://doi.org/10.1142/S0217979203023240