Microscopic Variability Alters Macroscopic Rotation Speed in Stochastic Spiral Waves

arXiv (Cornell University)

Abstract

We present a general theory for noise-induced corrections to the angular velocity of spiral waves. Stochasticity produces two second-order effects: an instantaneous term from heterogeneity that always slows rotation, and an orbital-drift term from temporal fluctuations that can either accelerate or decelerate it. For our parameters, orbital drift is weaker, producing a net slowdown. Analytical predictions match Barkley-model simulations with temporal noise. Examination of additional noise types in silico confirms angular velocity slowing. This mechanism provides a robust route by which stochasticity reshapes spiral dynamics in excitable media, with direct implications for arrhythmias and neural wave propagation.

Authors 3

1. Desmond Kabus Aachen Laboratory of Experimental Cardiology Mathematical Institute

   Leiden University · Leiden University Medical Center · University of Applied Sciences Leiden

   Affiliation as printed

   Laboratory of Experimental Cardiology , LUMC , Leiden , the Netherlands

   Mathematical Institute , Leiden University , Leiden , the Netherlands

2. Hermen Jan Hupkes Aachen Mathematical Institute

   Leiden University · University of Applied Sciences Leiden

   Affiliation as printed

   Mathematical Institute , Leiden University , Leiden , the Netherlands

3. Tim De Coster