Spiral breakup in a RD system of cardiac excitation due to front-back interaction

DOI10.1016/j.wavemoti.2018.02.010zbMath1465.35279OpenAlexW2790119792WikidataQ130141486 ScholiaQ130141486MaRDI QIDQ2190935

Toshiyuki Ogawa, M. Osman Gani

Publication date: 23 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2018.02.010

zbMATH Keywords

excitable mediaspiral waveperiodic traveling wavespiral breakupcardiac cell dynamics

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Numerical chaos (65P20) Numerical bifurcation problems (65P30) Biological rhythms and synchronization (92B25)

Related Items (3)

Periodic travelling wave solutions for a reaction-diffusion system on landscape fitted domains ⋮ Spiral Tip Identification via Deterministic Learning ⋮ Birth and death of spiral waves in a network of Hindmarsh-rose neurons with exponential magnetic flux and excitable media

Uses Software

• wavetrain

Cites Work

• Instability of periodic traveling wave solutions in a modified Fitzhugh-Nagumo model for excitable media
• Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations
• Alternans and spiral breakup in an excitable reaction-diffusion system: a simulation study
• Computing absolute and essential spectra using continuation
• Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations
• A Cellular Automaton Model of Excitable Media Including Curvature and Dispersion
• SPATIOTEMPORAL IRREGULARITY IN A TWO-DIMENSIONAL MODEL OF CARDIAC TISSUE
• SUPEREXCITABILITY INDUCED SPIRAL BREAKUP IN EXCITABLE SYSTEMS
• 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

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