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

被引:69
作者
Gu, Hua-Guang [1 ]
Jia, Bing [1 ]
Li, Yu-Ye [1 ,2 ]
Chen, Guan-Rong [3 ]
机构
[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
[2] Chifeng Univ, Sch Math, Chifeng 024000, Inner Mongolia, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Spiral wave; Spatial coherence resonance; Neuronal network; Type I excitability; SMALL-WORLD CONNECTIVITY; PHASE RESETTING CURVES; STOCHASTIC RESONANCE; DYNAMICS; INFORMATION; SYNCHRONIZATION; VARIABILITY; PERIODICITY; RELIABILITY; MECHANISMS;
D O I
10.1016/j.physa.2012.11.049
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:1361 / 1374
页数:14
相关论文
共 70 条
[1]   THE MECHANISM OF STOCHASTIC RESONANCE [J].
BENZI, R ;
SUTERA, A ;
VULPIANI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (11) :L453-L457
[2]   Interaction of Cellular and Network Mechanisms in Spatiotemporal Pattern Formation in Neuronal Networks [J].
Bogaard, Andrew ;
Parent, Jack ;
Zochowski, Michal ;
Booth, Victoria .
JOURNAL OF NEUROSCIENCE, 2009, 29 (06) :1677-1687
[3]   Spatial coherence resonance near pattern-forming instabilities [J].
Carrillo, O ;
Santos, MA ;
García-Ojalvo, J ;
Sancho, JM .
EUROPHYSICS LETTERS, 2004, 65 (04) :452-458
[4]   NOISE ENHANCEMENT OF INFORMATION-TRANSFER IN CRAYFISH MECHANORECEPTORS BY STOCHASTIC RESONANCE [J].
DOUGLASS, JK ;
WILKENS, L ;
PANTAZELOU, E ;
MOSS, F .
NATURE, 1993, 365 (6444) :337-340
[5]   Type I membranes, phase resetting curves, and synchrony [J].
Ermentrout, B .
NEURAL COMPUTATION, 1996, 8 (05) :979-1001
[6]   Reliability, synchrony and noise [J].
Ermentrout, G. Bard ;
Galan, Roberto F. ;
Urban, Nathaniel N. .
TRENDS IN NEUROSCIENCES, 2008, 31 (08) :428-434
[7]   Noise in the nervous system [J].
Faisal, A. Aldo ;
Selen, Luc P. J. ;
Wolpert, Daniel M. .
NATURE REVIEWS NEUROSCIENCE, 2008, 9 (04) :292-303
[8]   Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling -: art. no. 158101 [J].
Galán, RF ;
Ermentrout, GB ;
Urban, NN .
PHYSICAL REVIEW LETTERS, 2005, 94 (15)
[9]   Reliability and stochastic synchronization in type I vs. type II neural oscillators [J].
Galan, Roberto F. ;
Ermentrout, G. Bard ;
Urban, Nathaniel N. .
NEUROCOMPUTING, 2007, 70 (10-12) :2102-2106
[10]   Stochastic resonance [J].
Gammaitoni, L ;
Hanggi, P ;
Jung, P ;
Marchesoni, F .
REVIEWS OF MODERN PHYSICS, 1998, 70 (01) :223-287