Dynamics of lattice spins as a model of arrhythmia

Details Dynamics of lattice spins as a model of arrhythmia Dynamics of lattice spins as a model of arrhythmia

1999-04-29

arxiv.org/abs/physics/9904067v1

Phys. Rev. E 60, 7262 (1999)

Physics

Biological Physics

17 pages, revtex, 3 figures

Scientific paper

10.1103/PhysRevE.60.7262

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.

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