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W2031497507 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." @default.
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W2031497507 date "2010-04-14" @default.
W2031497507 modified "2023-10-12" @default.
W2031497507 title "Transient Localized Patterns in Noise-Driven Reaction-Diffusion Systems" @default.
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W2031497507 doi "https://doi.org/10.1103/physrevlett.104.158301" @default.
W2031497507 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/2882887" @default.
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