Abstract
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 −1 e −1/2βp.
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Griffith, J.S. A field theory of neural nets: I: Derivation of field equations. Bulletin of Mathematical Biophysics 25, 111–120 (1963). https://doi.org/10.1007/BF02477774
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DOI: https://doi.org/10.1007/BF02477774