Dynamical mechanism of atrial fibrillation: A topological approach

DOI10.1063/1.5003259zbMath1390.92038arXiv1703.10680OpenAlexW2604473795WikidataQ48264549 ScholiaQ48264549MaRDI QIDQ4644301

Christopher D. Marcotte, Roman O. Grigoriev

Publication date: 30 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10680

zbMATH Keywords

wave collapseatrial fibrillationwave coalescence

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Physiology (general) (92C30)

Cites Work

• Initiation of propagation in a one-dimensional excitable medium
• Singular perturbation theory of traveling waves in excitable media (A review)
• Vulnerability in one-dimensional excitable media
• Minimal model for human ventricular action potentials in tissue
• Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
• Computerized mapping of fibrillation in normal ventricular myocardium
• The world of the complex Ginzburg-Landau equation
• A Geometrical Theory for Spiral Waves in Excitable Media
• RE-ENTRANT ROTATING WAVES IN A BEELER–REUTER BASED MODEL OF TWO-DIMENSIONAL CARDIAC ELECTRICAL ACTIVITY
• Spiral breakup in model equations of action potential propagation in cardiac tissue
• Exact coherent structures and chaotic dynamics in a model of cardiac tissue
• Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation
• Pattern formation outside of equilibrium

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