A field theory of neural nets: I: Derivation of field equations
- J. S. Griffith
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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 −1 e −1/2βp .
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- A field theory of neural nets: I: Derivation of field equations
The bulletin of mathematical biophysics
Volume 25, Issue 1 , pp 111-120
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- Kluwer Academic Publishers
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- J. S. Griffith (1)
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- 1. King's College, Cambridge, England