Spatial coherence resonance on diffusive and small-world networks of Hodgkin-Huxley neurons

摘要

Spatial coherence resonance in a spatially extended system that is locallymodeled by Hodgkin-Huxley (HH) neurons is studied in this paper. We focus onthe ability of additive temporally and spatially uncorrelated Gaussian noise toextract a particular spatial frequency of excitatory waves in the medium,whereby examining also the impact of diffusive and small-world network topologydetermining the interactions amongst coupled HH neurons. We show that thereexists an intermediate noise intensity that is able to extract a characteristicspatial frequency of the system in a resonant manner provided the latter isdiffusively coupled, thus indicating the existence of spatial coherenceresonance. However, as the diffusive topology of the medium is relaxed via theintroduction of shortcut links introducing small-world properties amongstcoupled HH neurons, the ability of additive Gaussian noise to evoke orderedexcitatory waves deteriorates rather spectacularly, leading to the decoherenceof the spatial dynamics and with it related absence of spatial coherenceresonance. In particular, already a minute fraction of shortcut links sufficesto substantially disrupt coherent pattern formation in the examined system.