Dynamics of lattice spins as a model of arrhythmia.
We consider evolution of initial disturbances in spatially extended systems with autonomous rhythmic activity, such as the heart. We consider the case when the activity is stable with respect to very smooth (changing little across the medium) disturbances and construct lattice models for description of not-so-smooth disturbances, in particular, topological defects; these models are modifications of the diffusive XY model. We find that when the activity on each lattice site is very rigid in maintaining its form, the topological defects--vortices or spirals--nucleate a transition to a disordered, turbulent state.
Khlebnikov
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Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA.
D001145:Arrhythmias, Cardiac / Q000503:physiopathology*; D003198:Computer Simulation; D004594:Electrophysiology; D006329:Heart Conduction System / Q000502:physiology / Q000503:physiopathology; D006339:Heart Rate / Q000502:physiology; D006352:Heart Ventricles / Q000503:physiopathology; D008954:Models, Biological; D008956:Models, Chemical; D016276:Ventricular Function