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    Noise-induced temporal dynamics in Turing systems

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    Type
    Article
    Authors
    Schumacher, Linus J.
    Woolley, Thomas E.
    Baker, Ruth E.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2013-04-25
    Permanent link to this record
    http://hdl.handle.net/10754/598979
    
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    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.
    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 E
    DOI
    10.1103/PhysRevE.87.042719
    PubMed ID
    23679461
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.87.042719
    Scopus Count
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