Big Ducks in the Heart: Canard Analysis Can Explain Large Early Afterdepolarizations in Cardiomyocytes
From MaRDI portal
Publication:4964238
DOI10.1137/19M1300777zbMath1460.92052OpenAlexW3045199599MaRDI QIDQ4964238
Richard Bertram, Theodore Vo, Joshua Kimrey
Publication date: 25 February 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1300777
Related Items (6)
Fast-slow analysis as a technique for understanding the neuronal response to current ramps ⋮ Mixed-Mode Oscillations in Coupled FitzHugh–Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities ⋮ Mathematical birth of early afterdepolarizations in a cardiomyocyte model ⋮ Bifurcation Analysis on a Generation of Early Afterdepolarization in a Mathematical Cardiac Model ⋮ Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes ⋮ Hunting $\varepsilon$: The Origin and Validity of Quasi-Steady-State Reductions in Enzyme Kinetics
Uses Software
Cites Work
- Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model
- Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model
- Geometric singular perturbation theory for ordinary differential equations
- Mathematical physiology. I: Cellular physiology
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Mixed-Mode Oscillations with Multiple Time Scales
- The Geometry of Slow Manifolds near a Folded Node
- Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
- Canards in \(\mathbb{R}^3\)
- Unnamed Item
This page was built for publication: Big Ducks in the Heart: Canard Analysis Can Explain Large Early Afterdepolarizations in Cardiomyocytes