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Origins: Brain and Self Organization

By: Karl Pribram | Book details

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whose intervals are integral multiples of a particular value, and the improvement of the signal-to-noise ratio of sub- threshold stimuli [11] [44] It also excludes explicitly supra-threshold stimuli (e.g., [11] [27]. From a biological viewpoint (i.e., physiological, psycho-physical, etc.) signal-to-noise ratio improvement is interesting always, both when revealing sub-liminal stimuli and regardless of the afferent discharges pattern (e.g. see Figures 1-II, 2-b, 8-c), and when making the no less significant supra-threshold ones more recognizable. Therefore, the biological domain within which stochastic resonance can be applied does not cover entirely that where living receptors perform; furthermore, the excluded portion includes important situations. These two features impose bounds on the biological value of stochastic resonance. A theory that covered the entire range of sub- and supra-threshold stimuli that pervade everyday life would have a broader, more meaningful domain of applicability, and be more valuable for physiologists. Even better yet in physiological terms would be theories that, in addition to fidelity improvement in the entire range, explained other noise-induced consequences (see above). So that this is not misinterpreted, we add our agreement with those who believe stochastic resonance to be an important theoretical construct with many significant applications in the practical sciences already, and more are to come.Clearly, the role of noise in neural coding is a multi- disciplinary subject; it has attracted, and profited by, the joint contribution of several experimental and formal approaches. A balanced perspective, useful for any scientific endeavor, is particularly desirable (though it may be harder to achieve) when, as here, viewpoints are multiple and reflect disparate backgrounds. Needed, obviously, is a first evaluation based on the entire picture and all disciplines. This overall evaluation, though very necessary, is not sufficient. Just as important is one enunciated after extraction of the chapter from the multi-disciplinary context, and voiced in strictly biological terms. Indeed, when attempting a balanced perspective of noise and neural coding, evaluations based on strictly biological criteria are indispensable ingredients. Biologically, then, this research endeavor, finding a rationale in the natural history of everyday life, generating over decades a coherent set of experimental observations, and drawing sensible biological conclusions, has demonstrated a life of its own and delineated a clearcut identity. Judged as such, detached from other viewpoints and independent of otherwise significant considerations, noise and neuronal processing stands by itself as a self contained, genuine and significant chapter in the Physiology of the Nervous System. It goes without saying that parallel theoretical developments provided indispensable conceptual frameworks for understanding formal issues, for planning further experimental approaches, and so forth.
Acknowledgments
This work was supported by Trent H. Wells jr. Inc.
References
[1] J. C. Allen, W. M. Schaffer and D. Rosko, "Chaos reduces species extinction by amplifying local population noise", Nature, vol. 364, pp. 229-232, 1993.
[2] D. J. Amit, Modelling Brain Function, The World of Attractor Neural Networks, Cambridge: Cambridge University Press, 1989.
[3] F. T. Arecchi and A. Califano, "Low frequency hopping phenomena in a nonlinear system with many attractors", Physics Letters A, vol. 101, pp. 443-446, 1984.
[4] F. G. Ball and J. A. Rice, "Stochastic models for ion channels", Mathematical Biosciences, vol. 112, pp. 189-206, 1992.
[5] R. Benzi, G. Parisi, A. Sutera and A. Vulpiani, "Stochastic resonance in climatic change", Tellus, vol. 34, pp. 10-16, 1982.
[6] P. C. Bressloff and J. G. Taylor, "Discrete time leaky integrator network with synaptic noise", Neural Networks, vol. 4, pp. 789-801, 1991.
[7] D. R. Brillinger, "The identification of point process systems", Annals of Probability,vol. 3, pp. 909-924, 1975.

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