A field theory of neural nets: I: Derivation of field equations
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- Griffith, J.S. Bulletin of Mathematical Biophysics (1963) 25: 111. doi:10.1007/BF02477774
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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.