Nonlinear and stochastic dynamics in the heart

Z Qu, G Hu, A Garfinkel, JN Weiss - Physics reports, 2014 - Elsevier
In a normal human life span, the heart beats about 2–3 billion times. Under diseased
conditions, a heart may lose its normal rhythm and degenerate suddenly into much faster …

Cardiac alternans: from bedside to bench and back

Z Qu, JN Weiss - Circulation research, 2023 - Am Heart Assoc
Cardiac alternans arises from dynamical instabilities in the electrical and calcium cycling
systems of the heart, and often precedes ventricular arrhythmias and sudden cardiac death …

Alternans and spiral breakup in a human ventricular tissue model

KHWJ Ten Tusscher… - American Journal of …, 2006 - journals.physiology.org
Ventricular fibrillation (VF) is one of the main causes of death in the Western world.
According to one hypothesis, the chaotic excitation dynamics during VF are the result of …

Multiple-length-scale elastic instability mimics parametric resonance of nonlinear oscillators

F Brau, H Vandeparre, A Sabbah, C Poulard… - Nature Physics, 2011 - nature.com
Spatially confined rigid membranes reorganize their morphology in response to the imposed
constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing …

Role of calcium cycling versus restitution in the mechanism of repolarization alternans

EJ Pruvot, RP Katra, DS Rosenbaum… - Circulation …, 2004 - Am Heart Assoc
T-wave alternans, a powerful marker of arrhythmic events, results from alternation in action
potential duration (APD). The underlying cellular mechanism of APD alternans is unknown …

Suppression of alternans and conduction blocks despite steep APD restitution: electrotonic, memory, and conduction velocity restitution effects

EM Cherry, FH Fenton - American journal of physiology …, 2004 - journals.physiology.org
We examine the utility of the action potential (AP) duration (APD) restitution curve slope in
predicting the onset of electrical alternans when electrotonic and memory effects are …

Coupled dynamics of voltage and calcium in paced cardiac cells

Y Shiferaw, D Sato, A Karma - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
We investigate numerically and analytically the coupled dynamics of transmembrane
voltage and intracellular calcium cycling in paced cardiac cells using a detailed …

Nonlinear physics of electrical wave propagation in the heart: a review

S Alonso, M Bär, B Echebarria - Reports on Progress in Physics, 2016 - iopscience.iop.org
The beating of the heart is a synchronized contraction of muscle cells (myocytes) that is
triggered by a periodic sequence of electrical waves (action potentials) originating in the …

Predicting discrete-time bifurcations with deep learning

TM Bury, D Dylewsky, CT Bauch, M Anand… - Nature …, 2023 - nature.com
Many natural and man-made systems are prone to critical transitions—abrupt and potentially
devastating changes in dynamics. Deep learning classifiers can provide an early warning …

[HTML][HTML] Cardiac dynamics: alternans and arrhythmogenesis

G Tse, ST Wong, V Tse, YT Lee, HY Lin, JM Yeo - Journal of Arrhythmia, 2016 - Elsevier
Pre-existing heterogeneities present in cardiac tissue are essential for maintaining the
normal electrical and mechanical functions of the heart. Exacerbation of such …