Literature DB >> 23345689

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

T Amemiya1, T Ohmori, M Nakaiwa, T Yamamoto, T Yamaguchi.   

Abstract

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.

Keywords:  Belousov-Zhabotinsky (BZ) reaction; Noise; Nonlinear chemical reaction; Signal detection; Stochastic resonance; Two-parameter dynamical system

Year:  1999        PMID: 23345689      PMCID: PMC3455956          DOI: 10.1023/A:1005182817553

Source DB:  PubMed          Journal:  J Biol Phys        ISSN: 0092-0606            Impact factor:   1.365


  12 in total

1.  Spatiotemporal Stochastic Resonance in a System of Coupled Diode Resonators.

Authors: 
Journal:  Phys Rev Lett       Date:  1996-12-02       Impact factor: 9.161

2.  Oscillation and noise determine signal transduction in shark multimodal sensory cells.

Authors:  H A Braun; H Wissing; K Schäfer; M C Hirsch
Journal:  Nature       Date:  1994-01-20       Impact factor: 49.962

3.  Stochastic resonance on a circle.

Authors: 
Journal:  Phys Rev Lett       Date:  1994-04-04       Impact factor: 9.161

4.  Noise-enhanced tactile sensation.

Authors:  J J Collins; T T Imhoff; P Grigg
Journal:  Nature       Date:  1996-10-31       Impact factor: 49.962

5.  Characteristics of current induced potential oscillations of a triolein impregnated membrane placed between identical salt solutions.

Authors:  K Urabe; H Sakaguchi
Journal:  Biophys Chem       Date:  1996-03-07       Impact factor: 2.352

6.  Computation and the single neuron.

Authors:  C Koch
Journal:  Nature       Date:  1997-01-16       Impact factor: 49.962

7.  Stochastic resonance in non-dynamical systems without response thresholds.

Authors:  S M Bezrukov; I Vodyanoy
Journal:  Nature       Date:  1997-01-23       Impact factor: 49.962

8.  Noise-induced enhancement of signal transduction across voltage-dependent ion channels.

Authors:  S M Bezrukov; I Vodyanoy
Journal:  Nature       Date:  1995-11-23       Impact factor: 49.962

9.  Broadband neural encoding in the cricket cercal sensory system enhanced by stochastic resonance.

Authors:  J E Levin; J P Miller
Journal:  Nature       Date:  1996-03-14       Impact factor: 49.962

10.  Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance.

Authors:  J K Douglass; L Wilkens; E Pantazelou; F Moss
Journal:  Nature       Date:  1993-09-23       Impact factor: 49.962

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