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 language | English |
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Pages (from-to) | 5541-5553 |
Journal | International Journal of Modern Physics B |
Volume | 17 |
Issue number | 29 |
DOIs | |
Publication status | Published - 2003 |
Externally published | Yes |