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

Aziz Belmiloudi (1) , S. Corre (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LEES - Laboratoire Écologie, Évolution, Symbiose [UMR 6556 – Poitiers]

Mots clés: Bidomain type system; Multiple time-varying delays; Existence; Uniqueness; Stability; Cardiac electrophysiology; Ionic models; FitzHugh–Nagumo type model; Mitchell–Shaeffer model

Domaines: Analyse numérique [math.NA]

Aziz Belmiloudi, S. Corre. Mathematical modeling and analysis of dynamic effects of multiple time-varying delays on electrophysiological wave propagation in the heart. Nonlinear Analysis: Real World Applications, 2019, 47, pp.18-44. ⟨10.1016/j.nonrwa.2018.09.025⟩. ⟨hal-02057888⟩