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Emergent patterns from probabilistic generalizations of lateral activation and inhibition.

Willis, L and Kabla, A (2016) Emergent patterns from probabilistic generalizations of lateral activation and inhibition. J R Soc Interface, 13.

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Abstract

The combination of laterally activating and inhibiting feedbacks is well known to spontaneously generate spatial organization. It was introduced by Gierer and Meinhardt as an extension of Turing's great insight that two reacting and diffusing chemicals can spontaneously drive spatial morphogenesis per se In this study, we develop an accessible nonlinear and discrete probabilistic model to study simple generalizations of lateral activation and inhibition. By doing so, we identify a range of modes of morphogenesis beyond the familiar Turing-type modes; notably, beyond stripes, hexagonal nets, pores and labyrinths, we identify labyrinthine highways, Kagome lattices, gyrating labyrinths and multi-colour travelling waves and spirals. The results are discussed within the context of Turing's original motivating interest: the mechanisms which underpin the morphogenesis of living organisms.

Item Type: Article
Uncontrolled Keywords: lateral inhibition nonlinear stochastic model pattern formation Models, Theoretical
Subjects: UNSPECIFIED
Divisions: Div C > Biomechanics
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:31
Last Modified: 23 Nov 2017 04:24
DOI: