Stochastic mixed-mode oscillations in the canards region of a cardiac action potential model

DOI10.1016/j.chaos.2022.112640OpenAlexW4295677978MaRDI QIDQ2680042

L. B. Ryashko, Philipp Kügler, Evdokiia Slepukhina, Irina Bashkirtseva

Publication date: 26 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112640

zbMATH Keywords

mixed-mode oscillationscanardsstochastic sensitivityrandom disturbancescardiac action potential model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ordinary differential equations and systems with randomness (34F05) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Relaxation oscillations for ordinary differential equations (34C26) Biological rhythms and synchronization (92B25) Pathology, pathophysiology (92C32)

Cites Work

• Unnamed Item
• Unnamed Item
• Stochastic sensitivity of 3D-cycles
• Chasse au canard
• Confidence tori in the analysis of stochastic 3D-cycles
• Stochastic spiking-bursting transitions in a neural birhythmic 3D model with the Lukyanov-Shilnikov bifurcation
• Noise-induced early afterdepolarizations in a three-dimensional cardiac action potential model
• The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction
• Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System
• Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
• Relaxation oscillation and canard explosion

This page was built for publication: Stochastic mixed-mode oscillations in the canards region of a cardiac action potential model