Boundary-driven delayed-feedback control of spatiotemporal dynamics in excitable media

Fuente: arXiv
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Auteurs principaux: Echeverria-Alar, Sebastian, Rappel, Wouter-Jan
Format: Preprint
Publié: 2024
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author Echeverria-Alar, Sebastian
Rappel, Wouter-Jan
author_facet Echeverria-Alar, Sebastian
Rappel, Wouter-Jan
contents Scroll-wave instabilities in excitable domains are central to life-threatening arrhythmias, yet practical methods to stabilize these dynamics remain limited. Here, we investigate the effects of boundary layer heterogeneities in the spatiotemporal dynamics of a quasi-2D semidiscrete excitable model. We reveal that a novel boundary-driven mechanism suppresses meandering and chaotic spiral dynamics. We show how the strength of the heterogeneities mediates the emergence of this regulation through a pinning-unpinning-like transition. We derive a reduced 2D model and find that a decrease in bulk excitability and a boundary-driven delayed-feedback underlie the stabilization. Our results may point to alternative methods to control arrhythmias.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00183
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Boundary-driven delayed-feedback control of spatiotemporal dynamics in excitable media
Echeverria-Alar, Sebastian
Rappel, Wouter-Jan
Biological Physics
Scroll-wave instabilities in excitable domains are central to life-threatening arrhythmias, yet practical methods to stabilize these dynamics remain limited. Here, we investigate the effects of boundary layer heterogeneities in the spatiotemporal dynamics of a quasi-2D semidiscrete excitable model. We reveal that a novel boundary-driven mechanism suppresses meandering and chaotic spiral dynamics. We show how the strength of the heterogeneities mediates the emergence of this regulation through a pinning-unpinning-like transition. We derive a reduced 2D model and find that a decrease in bulk excitability and a boundary-driven delayed-feedback underlie the stabilization. Our results may point to alternative methods to control arrhythmias.
title Boundary-driven delayed-feedback control of spatiotemporal dynamics in excitable media
topic Biological Physics
url https://arxiv.org/abs/2409.00183