Modeling of nonlinear chemical reaction systems and two-parameter stochastic resonance

被引:6
作者
Amemiya, T
Ohmori, T
Nakaiwa, M
Yamamoto, T
Yamaguchi, T
机构
[1] Natl Inst Mat & Chem Res, Dept Chem Syst, Tsukuba, Ibaraki 3058565, Japan
[2] Tokyo Metropolitan Coll Technol, Dept Elect Engn, Tokyo 140011, Japan
关键词
stochastic resonance; signal detection; noise; two-parameter dynamical system; nonlinear chemical reaction; Belousov-Zhabotinsky (BZ) reaction;
D O I
10.1023/A:1005182817553
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
The idea of stochastic resonance (SR) is extended to two-parameter dynamical systems based on the Oregonator model of the Belousov-Zhabotinsky (BZ) reaction. The first case presents the photosensitivity of the reaction, and light flux and a flow rate are the two control parameters. The second case presents the effect of temperature on the oscillatory behaviors, and temperature and a flow rate are the control parameters. Stochastic resonance is demonstrated in the first case in which a signal and noise are applied to the different inputs, respectively. The scenario and novel aspects of SR in two-parameter systems are discussed, and the possibility of the analogous SR in biological systems is also pointed out.
引用
收藏
页码:73 / 85
页数:13
相关论文
共 34 条
[1]   Two-parameter stochastic resonance in a model of the photosensitive Belousov-Zhabotinsky reaction in a flow system [J].
Amemiya, T ;
Ohmori, T ;
Nakaiwa, M ;
Yamaguchi, T .
JOURNAL OF PHYSICAL CHEMISTRY A, 1998, 102 (24) :4537-4542
[2]  
Amemiya T, 1998, ACH-MODELS CHEM, V135, P231
[3]  
[Anonymous], 1985, OSCILLATIONS TRAVELI
[4]   Periodically driven linear system with multiplicative colored noise [J].
Barzykin, AV ;
Seki, K ;
Shibata, F .
PHYSICAL REVIEW E, 1998, 57 (06) :6555-6563
[5]   Stochastic resonance in non-dynamical systems without response thresholds [J].
Bezrukov, SM ;
Vodyanoy, I .
NATURE, 1997, 385 (6614) :319-321
[6]   NOISE-INDUCED ENHANCEMENT OF SIGNAL-TRANSDUCTION ACROSS VOLTAGE-DEPENDENT ION CHANNELS [J].
BEZRUKOV, SM ;
VODYANOY, I .
NATURE, 1995, 378 (6555) :362-364
[7]   OSCILLATION AND NOISE DETERMINE SIGNAL-TRANSDUCTION IN SHARK MULTIMODAL SENSORY CELLS [J].
BRAUN, HA ;
WISSING, H ;
SCHAFER, K ;
HIRSCH, MC .
NATURE, 1994, 367 (6460) :270-273
[8]   Noise-enhanced tactile sensation [J].
Collins, JJ ;
Imhoff, TT ;
Grigg, P .
NATURE, 1996, 383 (6603) :770-770
[9]   Noise in human muscle spindles [J].
Cordo, P ;
Inglis, JT ;
Verschueren, S ;
Collins, JJ ;
Merfeld, DM ;
Rosenblum, S ;
Buckley, S ;
Moss, F .
NATURE, 1996, 383 (6603) :769-770
[10]   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