Stochastic resonance in models of neuronal ensembles

Two recently suggested mechanisms for the neuronal encoding of sensory information involving the effect of stochastic resonance with aperiodic time-varying inputs are considered. It is shown, using theoretical arguments and numerical simulations, that the nonmonotonic behavior with increasing noise of the correlation measures used for the so-called aperiodic stochastic resonance ~ASR! scenario does not rely on the cooperative effect typical of stochastic resonance in bistable and excitable systems. Rather, ASR with slowly varying signals is more properly interpreted as linearization by noise. Consequently, the broadening of the ‘‘resonance curve’’ in the multineuron stochastic resonance without tuningscenario can also be explained by this linearization. Computation of the input-output correlation as a function of both signal frequency and noise for the model system further reveals conditions where noise-induced firing with aperiodic inputs will benefit from stochastic resonance rather than linearization by noise. Thus, our study clarifies the tuning requirements for the optimal transduction of subthreshold aperiodic signals. It also shows that a single deterministic neuron can perform as well as a network when biased into a suprathreshold regime. Finally, we show that the inclusion of a refractory period in the spike-detection scheme produces a better correlation between instantaneous firing rate and input signal. @S1063-651X~97!01102-1#

[1]  Fox,et al.  Second-order algorithm for the numerical integration of colored-noise problems. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[2]  Bulsara,et al.  Cooperative behavior in the periodically modulated Wiener process: Noise-induced complexity in a model neutron. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Joseph D. Bryngelson,et al.  Fluctuations and order: The new synthesis , 1997 .

[4]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[5]  Jung,et al.  Spatiotemporal stochastic resonance in excitable media. , 1995, Physical review letters.

[6]  L. Gammaitoni,et al.  Stochastic resonance and the dithering effect in threshold physical systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Santucci,et al.  Stochastic resonance as a bona fide resonance. , 1995, Physical review letters.

[8]  Thomas T. Imhoff,et al.  Noise-enhanced information transmission in rat SA1 cutaneous mechanoreceptors via aperiodic stochastic resonance. , 1996, Journal of neurophysiology.

[9]  Anders Krogh,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[10]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.

[11]  Frank Moss,et al.  Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance , 1993, Nature.

[12]  Carson C. Chow,et al.  Aperiodic stochastic resonance. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[14]  Wiesenfeld,et al.  Stochastic resonance on a circle. , 1994, Physical review letters.

[15]  Klaus Schulten,et al.  NOISE INDUCED LIMIT CYCLES OF THE BONHOEFFER-VAN DER POL MODEL OF NEURAL PULSES. , 1985 .

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

[17]  Mannella,et al.  Fast and precise algorithm for computer simulation of stochastic differential equations. , 1989, Physical review. A, General physics.

[18]  J. Jack,et al.  Electric current flow in excitable cells , 1975 .

[19]  A. Longtin Stochastic resonance in neuron models , 1993 .

[20]  John P. Miller,et al.  Broadband neural encoding in the cricket cereal sensory system enhanced by stochastic resonance , 1996, Nature.

[21]  Carson C. Chow,et al.  Stochastic resonance without tuning , 1995, Nature.

[22]  André Longtin,et al.  Synchronization of the stochastic Fitzhugh-Nagumo equations to periodic forcing , 1995 .

[23]  Carson C. Chow,et al.  Aperiodic stochastic resonance in excitable systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[24]  Bulsara,et al.  Time-interval sequences in bistable systems and the noise-induced transmission of information by sensory neurons. , 1991, Physical review letters.

[25]  Mark Millonas,et al.  Fluctuations and Order , 1996 .