Microscopic Variability Alters Macroscopic Rotation Speed in Stochastic Spiral Waves
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915658789289984 |
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| author | Kamphuis, Jolien Kabus, Desmond Hupkes, Hermen Jan De Coster, Tim |
| author_facet | Kamphuis, Jolien Kabus, Desmond Hupkes, Hermen Jan De Coster, Tim |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_21710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Microscopic Variability Alters Macroscopic Rotation Speed in Stochastic Spiral Waves Kamphuis, Jolien Kabus, Desmond Hupkes, Hermen Jan De Coster, Tim Pattern Formation and Solitons Mathematical Physics Biological Physics 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. |
| title | Microscopic Variability Alters Macroscopic Rotation Speed in Stochastic Spiral Waves |
| topic | Pattern Formation and Solitons Mathematical Physics Biological Physics |
| url | https://arxiv.org/abs/2511.21710 |