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Phys Rev Lett. 2010 Apr 16;104(15):158301. Epub 2010 Apr 14.

Transient localized patterns in noise-driven reaction-diffusion systems.

Author information

1
Center for Theoretical Biological Physics, University of California San Diego, La Jolla, California 92093-0319, USA.

Abstract

Noise can induce excitable systems to make time-limited transitions between quiescent and active states. Here we investigate the possibility that these transitions occur locally in a spatially extended medium, leading to the occurrence of spatiotemporal patches of activation. We show that this can in fact occur in a parameter range such that there exist (in general unstable) localized solutions of the governing deterministic reaction-diffusion equations. Our work is motivated by a recent biological example showing transiently excited cell membrane regions.

PMID:
20482022
PMCID:
PMC2882887
DOI:
10.1103/PhysRevLett.104.158301
[Indexed for MEDLINE]
Free PMC Article

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