Stochastic and deterministic resonances for excitable systems

被引:122
作者
Longtin, A
Chialvo, DR
机构
[1] Univ Ottawa, Dept Phys, Ottawa, ON K1N 6N5, Canada
[2] Rockefeller Univ, Ctr Studies Phys & Biol, New York, NY 10021 USA
关键词
D O I
10.1103/PhysRevLett.81.4012
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The dependence of four firing statistics in neuronal excitable systems is studied as a function of noise intensity and sinusoidal forcing period. For a range of biologically relevant frequencies, we find that the noise amplitude optimizing these statistics depends on the forcing period T, and that stochastic resonance with time-scale matching occurs. Results are explained by the interplay of generic static and dynamic threshold properties of excitable systems. [S0031-9007(98)07562-0].
引用
收藏
页码:4012 / 4015
页数:4
相关论文
共 29 条
[1]   ON THE RESONANCE STRUCTURE IN A FORCED EXCITABLE SYSTEM [J].
ALEXANDER, JC ;
DOEDEL, EJ ;
OTHMER, HG .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1990, 50 (05) :1373-1418
[2]   Cooperative behavior in periodically driven noisy integrate-fire models of neuronal dynamics [J].
Bulsara, AR ;
Elston, TC ;
Doering, CR ;
Lowen, SB ;
Lindenberg, K .
PHYSICAL REVIEW E, 1996, 53 (04) :3958-3969
[3]   Tuning in to noise [J].
Bulsara, AR ;
Gammaitoni, L .
PHYSICS TODAY, 1996, 49 (03) :39-45
[4]   NONLINEAR DYNAMICS OF CARDIAC EXCITATION AND IMPULSE PROPAGATION [J].
CHIALVO, DR ;
JALIFE, J .
NATURE, 1987, 330 (6150) :749-752
[5]   Stochastic resonance in models of neuronal ensembles [J].
Chialvo, DR ;
Longtin, A ;
MullerGerking, J .
PHYSICAL REVIEW E, 1997, 55 (02) :1798-1808
[6]  
CHIALVO DR, 1993, J STAT PHYS, V70, P309
[7]   STOCHASTIC RESONANCE WITHOUT TUNING [J].
COLLINS, JJ ;
CHOW, CC ;
IMHOFF, TT .
NATURE, 1995, 376 (6537) :236-238
[8]   APERIODIC STOCHASTIC RESONANCE IN EXCITABLE SYSTEMS [J].
COLLINS, JJ ;
CHOW, CC ;
IMHOFF, TT .
PHYSICAL REVIEW E, 1995, 52 (04) :R3321-R3324
[9]   NOISE-INDUCED LINEARIZATION [J].
DYKMAN, MI ;
LUCHINSKY, DG ;
MANNELLA, R ;
MCCLINTOCK, PVE ;
SHORT, HE ;
STEIN, ND ;
STOCKS, NG .
PHYSICS LETTERS A, 1994, 193 (01) :61-66
[10]   PHASE LOCKING, PERIOD DOUBLING, AND CHAOTIC PHENOMENA IN EXTERNALLY DRIVEN EXCITABLE SYSTEMS [J].
FEINGOLD, M ;
GONZALEZ, DL ;
PIRO, O ;
VITURRO, H .
PHYSICAL REVIEW A, 1988, 37 (10) :4060-4063