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.
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.
McCulloch, W. S. and W. Pitts. 1943. “A Logical Calculus of Ideas Immanent in Nervous Activity.”Bull. Math. Biophysics,5, 115–133.
Rashevsky, N. 1945. “Mathematical Biophysics of Abstraction and Logical Thinking.”Bull. Math. Biophysics,7, 133–148.
Rashevsky, N. “Some remarks on the Boolean Algebra of Nervous Nets in Mathematical Biophysics.”Bull. Math. Biophysics,7, 203–211.
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1007/BF02477487