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Derivation of a neural field model from a network of theta neurons
Physical Review E
Neural field models are used to study macroscopic spatio-temporal patterns in the cortex. Their derivation from networks of model neurons normally involves a number of assumptions, which may not be correct. Here we present an exact derivation of a neural field model from an infinite network of theta neurons, the canonical form of a Type I neuron. We demonstrate the existence of a "bump" solution in both a discrete network of neurons and in the corresponding neural field model.doi:10.1103/physreve.90.010901 pmid:25122239 fatcat:zywg33byivawtb3vh4clr5rwbq