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arXiv · 2604.13391

Dynamical Theory of Elastic Synchronization of Cardiomyocytes

Akinari Tomiie·Nariya Uchida
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Abstract

We study synchronization of two cardiomyocytes mediated by elastic interactions through the substrate. Modeling each cell as an oscillating force dipole governed by a Rayleigh-type equation, we derive an effective mechanical coupling from the elastic response of the surrounding medium. Using phase reduction theory, supported by direct numerical simulations, we obtain a dynamical phase description for two cardiomyocytes that predicts geometry-dependent selection of synchronized states. Depending on the mutual orientation, the cells robustly converge to either in-phase or anti-phase beating, yielding an orientation-dependent state map with a nontrivial state boundary. The synchronization time also depends strongly on the distance and mutual orientation of the cells. These results bridge earlier energetic two-body theory and dynamical single-cell theory, and provide a dynamical framework for elastic synchronization of cardiomyocytes.

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Akinari Tomiie, Nariya Uchida. 2026-05-14. Dynamical Theory of Elastic Synchronization of Cardiomyocytes. https://doi.org/10.7566/jpsj.95.073001

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