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arXiv · 2511.21710

Microscopic Variability Alters Macroscopic Rotation Speed in Stochastic Spiral Waves

Jolien Kamphuis·Desmond Kabus·Hermen Jan Hupkes·Tim De Coster
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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.

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Jolien Kamphuis, Desmond Kabus, Hermen Jan Hupkes, Tim De Coster. 2025-11-18. Microscopic Variability Alters Macroscopic Rotation Speed in Stochastic Spiral Waves. https://arxiv.org/abs/2511.21710

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