Mathematical modeling and analysis of dynamic effects of multiple time-varying delays on electrophysiological wave propagation in the heart

DOI10.1016/j.nonrwa.2018.09.025zbMath1412.35337OpenAlexW2902442195WikidataQ129078137 ScholiaQ129078137MaRDI QIDQ1729247

S. Corre, Aziz Belmiloudi

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.09.025

zbMATH Keywords

stabilityexistenceuniquenesscardiac electrophysiologymultiple time-varying delaysbidomain type systemFitzhugh-Nagumo type modelionic modelsMitchell-Shaeffer model

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Particle methods and lattice-gas methods (76M28) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Applications of boundary value problems involving ordinary differential equations (34B60) Physiological flow (92C35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Electrochemistry (78A57)

Related Items

Time-varying delays in electrophysiological wave propagation along cardiac tissue and minimax control problems associated with uncertain bidomain type models ⋮ Cardiac memory phenomenon, time-fractional order nonlinear system and bidomain-torso type model in electrocardiology ⋮ Coupled lattice Boltzmann simulation method for bidomain type models in cardiac electrophysiology with multiple time-delays

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