Type
ArticleKAUST Grant Number
KUK-C1-013-04Date
2013-04-25Permanent link to this record
http://hdl.handle.net/10754/598979
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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.Citation
Schumacher LJ, Woolley TE, Baker RE (2013) Noise-induced temporal dynamics in Turing systems. Phys Rev E 87. Available: http://dx.doi.org/10.1103/PhysRevE.87.042719.Sponsors
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).Publisher
American Physical Society (APS)Journal
Physical Review EPubMed ID
23679461ae974a485f413a2113503eed53cd6c53
10.1103/PhysRevE.87.042719
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