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 …

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 …

Physics of cardiac arrhythmogenesis

A Karma - Annu. Rev. Condens. Matter Phys., 2013 - annualreviews.org
A normal heartbeat is orchestrated by the stable propagation of an excitation wave that
produces an orderly contraction. In contrast, wave turbulence in the ventricles, clinically …

Advances in modeling ventricular arrhythmias: from mechanisms to the clinic

NA Trayanova, PM Boyle - Wiley Interdisciplinary Reviews …, 2014 - Wiley Online Library
Modern cardiovascular research has increasingly recognized that heart models and
simulation can help interpret an array of experimental data and dissect important …

Mechanisms of vortices termination in the cardiac muscle

D Hornung, VN Biktashev, NF Otani… - Royal Society …, 2017 - royalsocietypublishing.org
We propose a solution to a long-standing problem: how to terminate multiple vortices in the
heart, when the locations of their cores and their critical time windows are unknown. We …

The dynamics of spiral tip adjacent to inhomogeneity in cardiac tissue

J Zhang, J Tang, J Ma, JM Luo, XQ Yang - Physica A: Statistical Mechanics …, 2018 - Elsevier
Rotating spiral waves in cardiac tissue are implicated in life threatening cardiac arrhythmias.
Experimental and theoretical evidences suggest the inhomogeneities in cardiac tissue play …

Topological charge-density-vector method of identifying filaments of scroll waves

YJ He, YX Xia, JT Mei, K Zhou, C Jiang, JT Pan… - Physical Review E, 2023 - APS
Scroll waves have been found in a variety of three-dimensional excitable media, including
physical, chemical, and biological origins. Scroll waves in cardiac tissue are of particular …

Negative tension of scroll wave filaments and turbulence in three-dimensional excitable media and application in cardiac dynamics

S Alonso, M Bär, AV Panfilov - Bulletin of Mathematical Biology, 2013 - Springer
Scroll waves are vortices that occur in three-dimensional excitable media. Scroll waves have
been observed in a variety of systems including cardiac tissue, where they are associated …

Three-dimensional autonomous pacemaker in the photosensitive Belousov-Zhabotinsky medium

A Azhand, JF Totz, H Engel - Europhysics Letters, 2014 - iopscience.iop.org
In experiments with the photosensitive Belousov-Zhabotinsky reaction (PBZR) we found a
stable three-dimensional organizing center that periodically emits trigger waves of chemical …

Anomalous drift of spiral waves in heterogeneous excitable media

S Sridhar, S Sinha, AV Panfilov - … Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We study the drift of spiral waves in a simple model of heterogeneous excitable medium,
having gradients in the distribution of ion-channel expression or cellular coupling. We report …