4.6 Article

White noise-induced spiral waves and multiple spatial coherence resonances in a neuronal network with type I excitability

Journal

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 392, Issue 6, Pages 1361-1374

Publisher

ELSEVIER
DOI: 10.1016/j.physa.2012.11.049

Keywords

Spiral wave; Spatial coherence resonance; Neuronal network; Type I excitability

Funding

  1. National Natural Science Foundation of China [11072135, 10772101]
  2. Fundamental Research Funds for Central Universities [1330219127]
  3. Hong Kong Research Grants Council under the GRF Grant [CityU1109/12E]

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White noise-induced pattern formation is studied in a network composed of Morris-Lecar neuronal models with type I excitability and with initial values higher than that of the resting potential. The appearance and disappearance of spiral waves, as well as the transitions between spiral wave patterns with different kinds of complexity characterized by the normalized spatial autocorrelation function, enable changes in the order of the network so as to exhibit a scenario with two or more locally maximal peaks, as can be clearly seen in the signal to noise ratio curves, as the noise intensity is adjusted from small to large in a wide range. A possible physical mechanism of the multiple resonances based on the dynamics of type I excitability and initial values is provided. The potential biological significance of the noise-induced spiral waves is discussed. (c) 2012 Elsevier B.V. All rights reserved.

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