Regular wave propagation out of noise in chemical active media.

A pacemaker, regularly emitting chemical waves, is created out of noise when an excitable photosensitive Belousov-Zhabotinsky medium, strictly unable to autonomously initiate autowaves, is forced with a spatiotemporal patterned random illumination. These experimental observations are also reproduced numerically by using a set of reaction-diffusion equations for an activator-inhibitor model, and further analytically interpreted in terms of genuine coupling effects arising from parametric fluctuations. Within the same framework we also address situations of noise-sustained propagation in subexcitable media.

[1]  J. Tyson,et al.  Target patterns in a realistic model of the Belousov–Zhabotinskii reaction , 1980 .

[2]  F Moss,et al.  Noise-induced spiral waves in astrocyte syncytia show evidence of self-organized criticality. , 1998, Journal of neurophysiology.

[3]  Kenneth Showalter,et al.  Reaction Mechanism for Light Sensitivity of the Ru(bpy)32+-Catalyzed Belousov−Zhabotinsky Reaction , 1997 .

[4]  R. M. Noyes,et al.  Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction , 1974 .

[5]  A. Zhabotinsky,et al.  Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System , 1970, Nature.

[6]  Kenneth Showalter,et al.  Chemical waves and patterns , 1995 .

[7]  Lutz Schimansky-Geier,et al.  Noise-Sustained Pulsating Patterns and Global Oscillations in Subexcitable Media , 1999 .

[8]  E. Hunt,et al.  Noise Sustained Propagation of a Signal in Coupled Bistable Electronic Elements , 1998 .

[9]  A. Winfree.  Spiral Waves of Chemical Activity , 1972, Science.

[10]  Johnson,et al.  Spatiotemporal Stochastic Resonance in a System of Coupled Diode Resonators. , 1996, Physical review letters.

[11]  V. I. Krinsky,et al.  Image processing using light-sensitive chemical waves , 1989, Nature.

[12]  Arun V. Holden,et al.  Computational biology of the heart , 1998, The Mathematical Gazette.

[13]  B. Hess,et al.  Gel systems for the Belousov-Zhabotinskii reaction , 1991 .

[14]  L. Kuhnert,et al.  Analysis of the modified complete Oregonator accounting for oxygen sensitivity and photosensitivity of Belousov-Zhabotinskii systems , 1990 .

[15]  Bulsara,et al.  Array enhanced stochastic resonance and spatiotemporal synchronization. , 1995, Physical review letters.

[16]  A. Goldbeter,et al.  Biochemical Oscillations And Cellular Rhythms: Contents , 1996 .

[17]  Casademunt,et al.  Brownian motion of spiral waves driven by spatiotemporal structured noise , 2000, Physical review letters.

[18]  K. Schulten,et al.  Noise-induced synchronous neuronal oscillations. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Dmitry E. Postnov,et al.  INTERACTING COHERENCE RESONANCE OSCILLATORS , 1999 .

[20]  W. Ditto,et al.  Taming spatiotemporal chaos with disorder , 1995, Nature.

[21]  J. M. Sancho,et al.  Noise in spatially extended systems , 1999 .

[22]  K. Showalter,et al.  Noise-supported travelling waves in sub-excitable media , 1998, Nature.

[23]  W. Ditto,et al.  Noise Enhanced Propagation , 1998 .

[24]  Alexander B. Neiman,et al.  Noise-Enhanced Phase Synchronization in Excitable Media , 1999 .

[25]  A. Mikhailov.  Selected topics in fluctuational kinetics of reactions , 1989 .