Noise induced synchronization in a neuronal oscillator

被引:28
作者
Pakdaman, K
Mestivier, D
机构
[1] INSERM, U444, Fac Med St Antoine, F-75571 Paris 21, France
[2] Univ Paris 07, INSERM, U444, F-75251 Paris 5, France
关键词
random dynamical system; Lyapunov exponent; synchronization; neuron;
D O I
10.1016/j.physd.2003.12.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Neuronal oscillators engage into quasiperiodic or phase locked discharges when driven by a weak periodic signal. These responses contrast with those evoked by weak aperiodic noise-like forcing mimicking realistic stimuli. The latter produce synchronous firing across neuronal populations, reflecting reliable firing. We analyze this phenomenon using random dynamical system theory applied to a biophysical neuronal oscillator model. We show that in agreement with experimental observations, weak noise-like forcing leads invariably to discharge synchrony of neuronal oscillators. In terms of neuronal coding, our result shows that neurons can reliably encode realistic broad-band noise-like signals, even though they may not do so for periodic signals. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:123 / 137
页数:15
相关论文
共 39 条
[31]   Noise-induced coherent oscillations in randomly connected neural networks [J].
Pham, J ;
Pakdaman, K ;
Vibert, JF .
PHYSICAL REVIEW E, 1998, 58 (03) :3610-3622
[32]   Complex responses of living neurons to pacemaker inhibition: A comparison of dynamical models [J].
Stiber, M ;
Pakdaman, K ;
Vibert, JF ;
Boussard, E ;
Segundo, JP ;
Nomura, T ;
Sato, S ;
Doi, S .
BIOSYSTEMS, 1997, 40 (1-2) :177-188
[33]   GLOBAL BIFURCATION STRUCTURE IN PERIODICALLY STIMULATED GIANT-AXONS OF SQUID [J].
TAKAHASHI, N ;
HANYU, Y ;
MUSHA, T ;
KUBO, R ;
MATSUMOTO, G .
PHYSICA D, 1990, 43 (2-3) :318-334
[34]   White-noise stimulation of the Hodgkin-Huxley model [J].
Takahata, T ;
Tanabe, S ;
Pakdaman, K .
BIOLOGICAL CYBERNETICS, 2002, 86 (05) :403-417
[35]   Noise-induced transition in excitable neuron models [J].
Tanabe, S ;
Pakdaman, K .
BIOLOGICAL CYBERNETICS, 2001, 85 (04) :269-280
[36]   Perturbation methods for Lyapunov exponents [J].
Wihstutz, V .
STOCHASTIC DYNAMICS, 1999, :209-239
[37]  
Winfree A.T., 1980, GEOMETRY BIOL TIME, V8
[38]   Response of a pacemaker neuron model to stochastic pulse trains [J].
Yamanobe, T ;
Pakdaman, K .
BIOLOGICAL CYBERNETICS, 2002, 86 (02) :155-166
[39]   Synthetic analysis of periodically stimulated excitable and oscillatory membrane models [J].
Yoshino, K ;
Nomura, T ;
Pakdaman, K ;
Sato, S .
PHYSICAL REVIEW E, 1999, 59 (01) :956-969