We survey recent analytical approaches to studying the spatiotemporal dynamics of
continuum neural fields. Neural fields model the large-scale dynamics of spatially structured …

Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

This is a book on mathematical neuroscience, in which the unifying theme is wavelike
phenomena at multiple spatial and temporal scales. There are already several excellent …

We study the effects of noise on stationary pulse solutions (bumps) in spatially extended
neural fields. The dynamics of a neural field is described by an integrodifferential equation …

We analyze the spatiotemporal dynamics of a system of integro-differential equations that
describes a one-dimensional excitatory neuronal network with synaptic depression and …

Neural or cortical fields are continuous assemblies of mesoscopic models, also called
neural masses, of neural populations that are fundamental in the modeling of macroscopic …

In this chapter, neural field theory is used to model binocular rivalry waves. During binocular
rivalry, visual perception switches back and forth between different images presented to the …

Phase-amplitude coupling (PAC), a type of cross-frequency coupling (CFC) where the
phase of a low-frequency rhythm modulates the amplitude of a higher frequency, is …

In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area
of the primary motor cortex (M1). We will mathematically express as a fiber bundle the …

In this paper we show that the emergence of perceptual units in V1 can be explained in
terms of a physical mechanism of simmetry breaking of the mean field neural equation. We …