ArticleProceedings of the National Academy of Sciences of the United States of America2007
Noise can play an organizing role for the recurrent dynamics in excitable media.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2007. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Noise resistant synchronization and collective rhythm switching in a model of animal group locomotion.Royal Society open science · 2022Article
- Beating the curse of dimension with accurate statistics for the Fokker-Planck equation in complex turbulent systems.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Article
- Mechanisms of very fast oscillations in networks of axons coupled by gap junctions.Journal of computational neuroscience · 2010Article
- A genetic timer through noise-induced stabilization of an unstable state.Proceedings of the National Academy of Sciences of the United States of America · 2008Article
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3 authors.
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Abstract
We analyze patterns of recurrent activity in a prototypical model of an excitable medium in the presence of noise. Without noise, this model robustly predicts the existence of spiral waves as the only recurrent patterns in two dimensions. With small noise, however, we found that this model is also capable of generating coherent target patterns, another type of recurrent activity that is widely observed experimentally. These patterns remain essentially deterministic despite the presence of the noise, yet their existence is impossible without it. Their degree of coherence can also be made arbitrarily high for wide ranges of the parameters, which does not require fine-tuning. Our findings demonstrate the need to reexamine current modeling approaches to active biological media.
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