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Exploring wave propagation dynamics in heterogeneous excitable media: effects of intermittent cellular inactivation
Yaacov Biton1, Doron Braunstein2, Ella Smolik2
1Department of Physics, Ben-Gurion University of the Negev, Be'er, Sheva, Israel.
Abstract:
Spatially and temporally varying excitability is increasingly recognized as an important source of conduction instability in excitable media. In this study, we investigate the effects of localized intermittent cellular inactivation on wave propagation using a two-dimensional continuous FitzHugh-Nagumo reaction-diffusion model. A designated region of the medium was subjected to stochastic switching between excitable and weakly excitable states, thereby representing dynamic functional heterogeneity in otherwise homogeneous tissue. Systematic simulations revealed three distinct propagation regimes as a function of the density of intermittently inactive cells within the affected region. At low densities (<4%), planar waves traversed the heterogeneous zone with only minor local distortions and recovered global coherence. At intermediate densities (approximately 4%-18%), localized wave breaks promoted the initiation of persistent spiral activity. At higher densities (>18%), conduction through the heterogeneous region was severely disrupted, leading to wavefront fragmentation and failure of coherent propagation. These results show that temporally fluctuating local inactivation, even in the absence of fixed anatomical obstacles or deterministic ectopic drivers, is sufficient in this model to generate threshold-dependent transitions from stable propagation to reentrant-like dynamics. The findings support the idea that dynamic functional heterogeneity may provide a plausible mechanistic substrate for arrhythmogenic wave instability in cardiac-like excitable media, such as atrial fibrillation (AF), and motivate further investigation in more physiologically detailed models.
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