Abstract
A classical model of neuronal signal transmission describing the presence of both a threshold and a saturation in the neuron response is considered. This model is used to analyze the transduction by the neuron of various types of information-carrying input signals in the presence of noise. Improvement by noise of the performance via stochastic resonance is established for transmission in both the threshold and the saturation regimes. Stochastic resonance at saturation is a novel form, expressing that the distortion experienced by large input signals transmitted at saturation, can be reduced by addition of noise.
Similar content being viewed by others
References
Gammaitoni, L., Ha¨ nggi, P., Jung, P. and Marchesoni, F.: Stochastic resonance, Reviews of Modern Physics, 70 (1998), 223-287.
Bulsara, A., Jacobs, E. W., Zhou, T., Moss, F. and Kiss, L.: Stochastic resonance in a single neuron model: Theory and analog simulation, Journal of Theoretical Biology, 152 (1991), 531-555.
Longtin, A.: Stochastic resonance in neuron models. Journal of Statistical Physics, 70 (1993), 309-327.
Sakumura, Y. and Aihara, K.: Stochastic resonance and coincidence detection in single neurons, Neural Processing Letters, 16 (2002), 235-242.
Douglass, J. K., Wilkens, L., Pantazelou, E. and Moss, F.: Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance, Nature, 365 (1993), 337-340.
Collins, J. J., Imhoff, T. T. and Grigg, P.: Noise-enhanced information transmission in rat SA1 cutaneous mechanoreceptors via aperiodic stochastic resonance, Journal of Neurophysiology, 76 (1996), 642-645.
Stacey, W. C. and Durand, D. M.: Stochastic resonance improves signal detection in hippocampal CA1 neurons, Journal of Neurophysioloyy, 83 (2000), 1394-1402.
Moss, F., Ward, L. M. and Sannita, W. G.: Stochastic resonance and sensory information processing: A tutorial and a review of application, Clinical Neurophysiology, 115 (2004), 267-281.
Rousseau, D., Rojas Varela, J. and Chapeau-Blondeau, F.: Stochastic resonance for nonlinear sensors with saturation, Physical Review E, 67 (021102) (2003), 1-6.
Koch, C.: Biophysics of Computation: Information Processing in Single Neurons. New York: Oxford University Press, 1999.
Chapeau-Blondeau, F. and Chauvet, G.: Dynamic properties of a biologically motivated neural network model, International Journal of Neural Systems, 3 (1992), 371-378.
Chapeau-Blondeau, F. and Godivier, X.: Theory of stochastic resonance in signal transmission by static nonlinear systems, Physical Review E, 55 (1997), 1478-1495.
Collins, J. J., Chow, C. C. and Imhoff, T. T.: Aperiodic stochastic resonance in excitable systems, Physical Review E, 52 (1995), R3321-R3324.
Chapeau-Blondeau, F. and Rojas-Varela, J.: Nonlinear signal propagation enhanced by noise via stochastic resonance, International Journal of Bifurcation and Chaos, 10 (2000), 1951-1959.
Collins, J. J., Chow, C. C., Capela, A. C. and Imhoff, T. T.: Aperiodic stochastic resonance, Physical Review E, 54 (1996), 5575-5584.
Chapeau-Blondeau, F., Godivier, X. and Chambet, N.: Stochastic resonance in a neuron model that transmits spike trains, Physical Review E, 53: (1996), 1273-1275.
Godivier, X. and Chapeau-Blondeau, F.: Noise-enhanced transmission of spike trains in the neuron, Europhysics Letters, 35 (1996), 473-477.
Lee, S. G. and Kim, S.: Parameter dependene of stochastic resonance in the stochastic Hodgkin-Huxley neuron, Physical Review E, 60 (1999), 826-880.
Levin, J. E. and Miller, J. P.: Broadband neural encoding in the cricket cercal sensory system enhanced by stochastic resonance, Nature, 380 (1996), 165-168.
Lindner, B., Schimansky-Geier, L. and Longtin. A.: Maximizing spike train coherence or incoherence in the leaky integrate-and-fire model, Physical Review E, 66: (031916)(2002), 1-6.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rousseau, D., Chapeau-blondeau, F. Neuronal Signal Transduction Aided by Noise at Threshold and at Saturation. Neural Processing Letters 20, 71–83 (2004). https://doi.org/10.1007/s11063-004-0740-6
Issue Date:
DOI: https://doi.org/10.1007/s11063-004-0740-6