Transient and periodic spatiotemporal structures in a reaction-diffusion-mechanics system

We study transient spatiotemporal structures induced by a weak space-time localized stimulus in an excitable contractile fiber within a two-component globally coupled reaction-diffusion model. The model which we develop allows us to analyze various regimes of excitation spreading and determine origi...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2016-01, Vol.26 (1), p.013101-013101
Main Authors: Kostin, V A, Osipov, G V
Format: Article
Language:English
Subjects:
Diffusion
Excitation
Isometric Contraction
Models, Theoretical
Numerical Analysis, Computer-Assisted
Periodicity
Spatio-Temporal Analysis
Time Factors
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Summary:We study transient spatiotemporal structures induced by a weak space-time localized stimulus in an excitable contractile fiber within a two-component globally coupled reaction-diffusion model. The model which we develop allows us to analyze various regimes of excitation spreading and determine origin of the induced structures for various contraction types (defined by the fiber fixation) and global coupling strengths. One of the most notable effects we observed is the after-excitation effect. It leads to emergence of multiple excitation pulses excited by a single external stimulus and can result in long-lasting transient activity and appearance of new oscillatory attractor regimes, including the ones with multiple phase clusters.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4938736