Noise-induced temporal dynamics in Turing systems

Linus J. Schumacher, Thomas E. Woolley, Ruth E. Baker

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We examine the ability of intrinsic noise to produce complex temporal dynamics in Turing pattern formation systems, with particular emphasis on the Schnakenberg kinetics. Using power spectral methods, we characterize the behavior of the system using stochastic simulations at a wide range of points in parameter space and compare with analytical approximations. Specifically, we investigate whether polarity switching of stochastic patterns occurs at a defined frequency. We find that it can do so in individual realizations of a stochastic simulation, but that the frequency is not defined consistently across realizations in our samples of parameter space. Further, we examine the effect of noise on deterministically predicted traveling waves and find them increased in amplitude and decreased in speed. © 2013 American Physical Society.
Original languageEnglish (US)
JournalPhysical Review E
Volume87
Issue number4
DOIs
StatePublished - Apr 25 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: We gratefully acknowledge the U.K.'s Engineering and Physical Sciences Research Council (EPSRC) for funding through a studentship (L.J.S.) at the Life Science Interface programme of the University of Oxford's Doctoral Training Centre. This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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