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可兴奋介质中的空间相干共振。

Spatial coherence resonance in excitable media.

作者信息

Perc Matjaz

机构信息

Department of Physics, Faculty of Education, University of Maribor, Koroska cesta 160, SI-2000 Maribor, Slovenia.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):016207. doi: 10.1103/PhysRevE.72.016207. Epub 2005 Jul 13.

Abstract

We study the phenomenon of spatial coherence resonance in a two-dimensional model of excitable media with FitzHugh-Nagumo local dynamics. In particular, we show that there exists an optimal level of additive noise for which an inherent spatial scale of the excitable media is best pronounced. We argue that the observed phenomenon occurs due to the existence of a noise robust excursion time that is characteristic for the local dynamics whereby the diffusion constant, representing the rate of diffusive spread, determines the actual resonant spatial frequency. Additionally, biological implications of presented results in the field of neuroscience are outlined.

摘要

我们研究了具有FitzHugh-Nagumo局部动力学的二维可激发介质模型中的空间相干共振现象。特别地,我们表明存在一个最佳的加性噪声水平,在该水平下可激发介质的固有空间尺度最为显著。我们认为,观察到的现象是由于存在一个对噪声具有鲁棒性的偏移时间,这是局部动力学的特征,其中代表扩散传播速率的扩散常数决定了实际的共振空间频率。此外,还概述了本文结果在神经科学领域的生物学意义。

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