The Mathematical Institute, University of Oxford, Eprints Archive

Noise-induced temporal dynamics in Turing systems

Schumacher, L J and Woolley, T E and Baker, R E (2013) Noise-induced temporal dynamics in Turing systems. Physical Review E, 87 (4). 042719.

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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.

Item Type:Article
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:1765
Deposited By: Sara Jolliffe
Deposited On:01 Feb 2014 09:42
Last Modified:29 May 2015 19:27

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