Skip to main content
Log in

Interaction of cycles

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

Abstract

We discuss under the McCulloch and Pitts assumptions for neural nets a circuit consisting ofk cycles such that one cycle is activated by an outside stimulus and sends an impulse to a second cycle which in its turn sends an impulse to the next cycle, etc., up to thekth cycle, which sends an impulse to a response. We thus have a “series” ofk cycles “interacting”. We give several theorems regarding the response patterns of such circuits under the additional constraint that the stimulus acts but once, and at the time it acts the circuit is at rest.

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

  • Householder, A. S. and Landahl, H. D. 1945.Mathematical Biophysics of the Central Nervous System. Bloomington, Indiana: The Principia Press.

    MATH  Google Scholar 

  • McCulloch, W. S. and W. Pitts. 1943. “A Logical Calculus of Ideas Immanent in Nervous Activity.”Bull. Math. Biophysics,5, 115–133.

    Article  MATH  MathSciNet  Google Scholar 

  • Rashevsky, N. 1945. “Mathematical Biophysics of Abstraction and Logical Thinking.”Bull. Math. Biophysics,7, 133–148.

    Article  Google Scholar 

  • Rashevsky, N. “Some remarks on the Boolean Algebra of Nervous Nets in Mathematical Biophysics.”Bull. Math. Biophysics,7, 203–211.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roberts, J.B. Interaction of cycles. Bulletin of Mathematical Biophysics 10, 123–129 (1948). https://doi.org/10.1007/BF02477487

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02477487

Keywords

Navigation