Skip to main content
Log in

Correlation “waves” in brain-like structures

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

A correspondence is established between a tangible model of brain structure (and function) and a system of observer-observed interactions. The observed quantities are “stimuli” in the form of signal amplitude distributions in a mass of neuron-like units; the observer is a set of neurons (not circumscribed in a local region) in which a distributed parameter mirrors the stimulus history of the set, i.e., represents a “memory”. Utilizing the theory of the Perceptron, a contemporary brain model, it is demonstrated that large systems composed of many observer-observed interactions exhibit quantum mechanical behavior on a “macroscopic” scale. This behavior entails wave-like phenomena and the need of applying the superposition mechanics to system information content calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Bellman, R. 1961.Adaptive Control Processes. Princeton, N.J.: Princeton University.

    MATH  Google Scholar 

  • Beurle, R. L. 1962Aspects of the Theory of Artificial Intelligence. C. A. Muses, New York: Plenum, 19.

    Google Scholar 

  • Farley, B., and W. A. Clark. 1954.IRE Trans. on Information Theory,IT-4, 76.

    Article  MathSciNet  Google Scholar 

  • Fessard, A. 1961.Sensory Communication. W. Rosenblith, Ed. New York: Wiley Press, 585.

    Google Scholar 

  • Freud, S. 1896.Origins of Psycho-Analysis. New York: Basic Press.

    Google Scholar 

  • Gerard, R. W. 1960.Handbook of Physiology Neurophysiology,III. Washington, D.C.: A.P.S.

    Google Scholar 

  • Lande, A. 1955.Foundations of Quantum Theory. New Haven, Conn.: Yale University Press.

    MATH  Google Scholar 

  • — 1956.Amer. J. Physics,24, 56.

    Article  MATH  Google Scholar 

  • — 1957.Phys. Rev.,108, 891.

    Article  MATH  MathSciNet  Google Scholar 

  • Lashley, K. S. 1929.Brain Mechanisms and Intelligence. Chicago, Ill.: University of Chicago Press.

    Book  Google Scholar 

  • Rapaport, A. 1950.Bull. Math. Biophysics,12, 109.

    Article  Google Scholar 

  • Rashevsky, N. 1938.Mathematical Biophysics. Chicago, Ill.: University of Chicago Press.

    MATH  Google Scholar 

  • Rochester, N. 1956.IRE Trans. on Information Theory.IT-2.

  • Rosenblatt, F. 1959.Mechanisation of Thought-Processes.1. London: H.M. Stationary Office, 419.

    Google Scholar 

  • — 1962.Principles of Neurodynamics. Washington, D.C.: Spartan Press.

    MATH  Google Scholar 

  • Shimbel, A. 1950.Bull. Math. Biophysics. 12, 241.

    Article  Google Scholar 

  • Uttley, A. M. 1958.Proc. 1st Int’l. Congress on Cybernetics. Namur, Belgium, 830.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bernhard, R. Correlation “waves” in brain-like structures. Bulletin of Mathematical Biophysics 27, 435–447 (1965). https://doi.org/10.1007/BF02476848

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02476848

Keywords

Navigation