When Time Breaks Down: The Three‐Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias

  title={When Time Breaks Down: The Three‐Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias},
  author={Arthur Winfree and John J. Tyson},
  journal={Physics Today},
The Description for this book, When Time Breaks Down: The Three-Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias, will be forthcoming. 

Effect of Strength and Timing of Transmembrane Current Pulses on Isolated Ventricular Myocytes

Cellular Response to Premature Stimuli: Effects of amplitude and timing of transmembrane current pulses affect trans Membrane potential (Vm) and action potential duration (APD) in isolated myocytes.

Effect of Shock‐Induced Changes in Transmembrane Potential on Reentrant Waves and Outcome During Cardioversion of Isolated Rabbit Hearts

Experimental data directly relating these mechanisms to the termination of reentry in whole hearts are lacking, and several theories exist for the mechanisms of defibrillation, but these mechanisms are lacking.

Nonlinear dynamics of physiological function and control.

Nonlinear dynamics is nonlinear dynamics, which offers ways to classify both normal and abnormal dynamics, and to analyze bifurcations occurring in physiological dynamics.

Computer modelling of cardiac arrhythmias

The following text is a review of mathematical models and computer simulation projects aimed at reproducing cardiac arrhythmogenic processes, operation of artificial pacemakers, and

Dynamical mechanism of atrial fibrillation: A topological approach.

It is found that the process of continuous excitation waves breaking up into discontinuous pieces plays no role whatsoever in maintaining spatiotemporal complexity, and this complexity is maintained as a dynamical balance between wave coalescence and wave collapse.

The Cardiac Conducting System and Its Autonomic Control

The specialised cardiac conducting system includes the sinoatrial node, the internodal tracts, the atrioventricular nodes, the bundle of His, the right and left bundle branches, and the Purkinje network.

Reaction-Diffusion Patterns and Waves: From Chemical Reactions to Cardiac Arrhythmias

  • M. Bär
  • Chemistry
    Spirals and Vortices
  • 2019
Reaction-diffusion processes are behind many instances of pattern formation in chemical reactions and biological systems. Continuum reaction-diffusion equations have proved useful models for a wide

Cardiac Electrophysiological Experiments in Numero, Part III: Simulation of Arrhythmias and Pacing

The arrhythmia simulation is reviewed and models of arrhythmogenic processes, fibrillation and defibrillation, and of heart‐pacemaker interaction are discussed, and the future potential of mathematical and computer models of different cardiac processes are discussed.

Model of Cardiac Tissue as a conductive System with Interacting pacemakers and Refractory Time

The model of the cardiac tissue as a conductive system with two interacting pacemakers and a refractory time is proposed and the phase locking areas are investigated in detail to predict the behavior of excitable systems with two pacemaker, depending on the type and intensity of their interaction and the initial phase.