Abstract
Neural field models are used to study macroscopic spatiotemporal 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.
- Received 13 April 2014
DOI:https://doi.org/10.1103/PhysRevE.90.010901
©2014 American Physical Society