The bulletin of mathematical biophysics

, Volume 25, Issue 1, pp 111–120

A field theory of neural nets: I: Derivation of field equations

  • J. S. Griffith

DOI: 10.1007/BF02477774

Cite this article as:
Griffith, J.S. Bulletin of Mathematical Biophysics (1963) 25: 111. doi:10.1007/BF02477774


A model is described in which neural activity is represented by a field quantity ϕ, with the neurons as the sources of ϕ. It is shown that, with certain physically realistic assumptions, ϕ satisfies a moderately nonlinear differential equation. It is also found that this equation is isotropic and of second order if and only if the neuronal connectivity has a dependence on distance,p, of the formp−1e−1/2βp.

Copyright information

© The University of Chicago Press 1963

Authors and Affiliations

  • J. S. Griffith
    • 1
  1. 1.King's CollegeCambridgeEngland