Understanding cardiac alternans: A piecewise linear modeling framework

DOI10.1063/1.3518362zbMath1311.92056OpenAlexW1995557929WikidataQ42768623 ScholiaQ42768623MaRDI QIDQ5251333

Rüdiger Thul, Stephen Coombes

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3518362

zbMATH Keywords

intracellular calciumaction potential durationcardiac alternans

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50) Physiology (general) (92C30) Cell biology (92C37) Biological rhythms and synchronization (92B25)

Related Items (11)

Mathematical frameworks for oscillatory network dynamics in neuroscience ⋮ Synchrony in networks of coupled non-smooth dynamical systems: Extending the master stability function ⋮ Calcium buffers and L-type calcium channels as modulators of cardiac subcellular alternans ⋮ Limit cycles of continuous and discontinuous piecewise-linear differential systems in \(\mathbb{R}^3\) ⋮ Limit cycles in planar continuous piecewise linear systems ⋮ A direct transition to chaos in hysteretic systems with focus dynamics ⋮ Effects of calcium-channel noise on dynamics of excitation-contraction coupling in paced cardiac cells ⋮ Complex patterns of subcellular cardiac alternans ⋮ The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line ⋮ Limit sets of discontinuous vector fields on two-dimensional manifolds ⋮ Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems

Cites Work

• The effect of ion pumps on the speed of travelling waves in the fire-diffuse-fire model of Ca\(^{2+}\) release
• Nagumo's equation

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