可激发介质中噪声诱导的局域化图案：振幅与持续性
Noise-Induced Localized Patterns in Excitable Media: Amplitude versus Persistence
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中文总结 AI 辅助
该研究针对可激发介质，以FitzHugh-Nagumo系统为对象，发现噪声的瞬时振幅与持续性是控制瞬态局域化图案形成的联合随机参数，为相关动力学机制提供了新见解。
中文摘要 AI 辅助
瞬态空间局域化活动是多种生物过程的基础，但控制其成核的涨落统计特性仍不明确。我们系统研究了空间扩展的FitzHugh-Nagumo可激发系统中的噪声诱导动力学，确定了三个区域：静息相、空间扩展交替相，以及以瞬态局域化激发斑块为特征的图案形成相。令人惊讶的是，斑块形成并不需要时间噪声关联：当高斯白噪声的振幅足够大时，它会产生局域化斑块；而当时间关联使较弱的涨落得以持续时，也能达到相同效果。我们的结果表明，瞬时振幅和持续性是可激发介质中瞬态图案形成的联合随机控制参数，这两个不同量通过积分噪声强度关联，该强度量化了用于成核激发的累积随机驱动力。此外，抑制剂响应时间随后决定了激发是保持局域化还是在整个系统中扩散。
英文摘要
Transient spatially localized activity underlies a broad range of biological processes, yet the statistical property of fluctuations that controls its nucleation remains unclear. We systematically investigate noise-induced dynamics in a spatially extended FitzHugh-Nagumo excitable system and identify three regimes: a quiescent phase, a spatially extended alternating phase, and a pattern-forming phase characterized by transient localized excitation patches. Surprisingly, we find that temporal noise correlations are not required for patch formation: Gaussian white noise produces localized patches when its amplitude is sufficiently large, whereas weaker fluctuations can achieve the same effect when temporal correlations allow them to persist. Our results identify the instantaneous amplitude and the persistence as joint stochastic control parameters for transient pattern formation in excitable media. These distinct quantities are linked through the integrated noise strength, which quantifies the accumulated stochastic forcing available to nucleate an excitation. In addition, the inhibitor response time subsequently determines whether the excitation remains localized or spreads throughout the system.
