Mechanisms for the target patterns formation in a stochastic bistable excitable medium

Andrey Yu. Verisokin; Darya V. Verveyko; Dmitry E. Postnov

doi:10.1117/12.2315143

26 April 2018 Mechanisms for the target patterns formation in a stochastic bistable excitable medium

Andrey Yu. Verisokin, Darya V. Verveyko, Dmitry E. Postnov

Proceedings Volume 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV; 107172A (2018) https://doi.org/10.1117/12.2315143
Event: Saratov Fall Meeting 2017, 2017, Saratov, Russian Federation

Abstract

We study the features of formation and evolution of spatiotemporal chaotic regime generated by autonomous pacemakers in excitable deterministic and stochastic bistable active media using the example of the FitzHugh – Nagumo biological neuron model under discrete medium conditions. The following possible mechanisms for the formation of autonomous pacemakers have been studied: 1) a temporal external force applied to a small region of the medium, 2) geometry of the solution region (the medium contains regions with Dirichlet or Neumann boundaries). In our work we explore the conditions for the emergence of pacemakers inducing target patterns in a stochastic bistable excitable system and propose the algorithm for their analysis.

Citation Download Citation

Andrey Yu. Verisokin, Darya V. Verveyko, and Dmitry E. Postnov "Mechanisms for the target patterns formation in a stochastic bistable excitable medium", Proc. SPIE 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV, 107172A (26 April 2018); https://doi.org/10.1117/12.2315143

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