Skip to main content
SpringerLink
Log in

The linear theory of neuron networks: The static problem

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

Abstract

The construction of a theory of activity in neuron networks of arbitrary topological structure is commenced under the linear excitation hypothesis: we consider conditions for possible steady-state equilibria, deferring a dynamical treatment to the sequel.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature

  • Householder, A. S. 1941a. “A Theory of Steady-State Activity in Nerve-Fiber Networks: I. Definitions and Preliminary Lemmas.”Bull. Math. Biophysics,3, 63–70.

    Article  Google Scholar 

  • Householder, A. S. 1941b. “A Theory of Steady-State Activity in Nerve-Fiber Networks: II. The Simple Circuit.”Bull. Math. Biophysics,3, 105–112.

    Article  Google Scholar 

  • Householder, A. S. 1941c. “A Theory of Steady-State Activity in Nerve-Fiber Networks: III. The Simple Circuit in Complete Activity”.Bull. Math. Biophysics,3, 137–140.

    Article  Google Scholar 

  • Householder, A. S. 1942. “A Theory of Steady-State Activity in Nerve-Fiber Networks: IV.N p Circuits with a Common Synapse.”Bull. Math. Biophysics,4, 7–14.

    Article  MathSciNet  Google Scholar 

  • Pitts, Walter. 1942. “Some Observations on the Simple Neuron Circuit.”Bull. Math. Biophysics,4, 121–129.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The University of Chicago, Chicago, USA

    Walter Pitts

Authors
  1. Walter Pitts
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pitts, W. The linear theory of neuron networks: The static problem. Bulletin of Mathematical Biophysics 4, 169–175 (1942). https://doi.org/10.1007/BF02478112

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02478112

Keywords

Search

Navigation