Scale-invariant structures of spiral wavesc

Daniel Sohn, Konstantinos Aronis, Hiroshi Ashikaga

Research output: Contribution to journalArticlepeer-review


Background: Although rotors are thought to be one of the potential mechanisms that maintains spiral waves, the outcome of rotor ablation therapy has been disappointing. To improve our understanding of the mechanism of spiral waves, we developed a multi-scale approach to quantifying the complex interactions among cardiac components as the organizing manifolds of information flow. Method: We described rotors in a numerical model of two-dimensional cardiac excitation in a series of spatiotemporal scales by generating a renormalization group, and quantified the Lagrangian coherent structures (LCS) of information flow. To quantify the scale-invariant structures, we compared the value of finite-time Lyapunov exponent (FTLE) between the two corresponding components of the lattice in each spatiotemporal scale of the renormalization group with that of the original microscopic scale. Results: Both the repelling and attracting LCS changed across the different spatial and temporal scales of the renormalization group. However, despite the change across the scales, some LCS were scale-invariant. The patterns of those scale-invariant structures were not obvious from the trajectory of the rotors based on the traditional voltage mapping of the cardiac system. Conclusions: The Lagrangian coherent structures of information flow underlying spiral waves are preserved across multiple spatiotemporal scales.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Jun 28 2018


  • Coherent structures
  • Fibrillation
  • Information theory
  • Pattern formation
  • Renormalization group
  • Spiral waves

ASJC Scopus subject areas

  • General

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