ArticleEurophysics letters2008
Generation of finite wave trains in excitable media.
Article in Europhysics letters, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
7 citing papers in PubMed.
- Designing reaction-cross-diffusion systems with Turing and wave instabilities.Journal of mathematical biology · 2025Article
- Article
- conditions for Turing and wave instabilities in reaction-diffusion systems.Journal of mathematical biology · 2023Article
- Kramers Rate Theory of Pacemaker Dynamics in Noisy Excitable Media.Physical review letters · 2022Article
- Article
- Fronts and waves of actin polymerization in a bistability-based mechanism of circular dorsal ruffles.Nature communications · 2017Article
- Nonlinear and Stochastic Dynamics in the Heart.Physics reports · 2014Article
Corrections and comments
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Authors and funding
5 authors.
Funding
Abstract
Spatiotemporal control of excitable media is of paramount importance in the development of new applications, ranging from biology to physics. To this end, we identify and describe a qualitative property of excitable media that enables us to generate a sequence of traveling pulses of any desired length, using a one-time initial stimulus. The wave trains are produced by a transient pacemaker generated by a one-time suitably tailored spatially localized finite amplitude stimulus, and belong to a family of fast pulse trains. A second family, of slow pulse trains, is also present. The latter are created through a clumping instability of a traveling wave state (in an excitable regime) and are inaccessible to single localized stimuli of the type we use. The results indicate that the presence of a large multiplicity of stable, accessible, multi-pulse states is a general property of simple models of excitable media.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.