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

Stochasticity can play an important role in the dynamics of biologically relevant populations.
These span a broad range of scales: from intra-cellular populations of molecules to …

The architecture of cortex is flexible, permitting neuronal networks to store recent sensory
experiences as specific synaptic connectivity patterns. However, it is unclear how these …

Understanding the origin, nature, and functional significance of complex patterns of neural
activity, as recorded by diverse electrophysiological and neuroimaging techniques, is a …

Neural population equations such as neural mass or field models are widely used to study
brain activity on a large scale. However, the relation of these models to the properties of …

Cortical neurons emit seemingly erratic trains of action potentials or “spikes,” and neural
network dynamics emerge from the coordinated spiking activity within neural circuits. These …

Multistability refers to the coexistence of different stable states in nonlinear dynamical
systems. This phenomenon has been observed in laboratory experiments and in nature. In …

There has been a resurgence of interest in non-equilibrium stochastic processes in recent
years, driven in part by the observation that the number of molecules (genes, mRNA …

The human brain exhibits a distinct spatiotemporal organization that supports brain function
and can be manipulated via local brain stimulation. Such perturbations to local cortical …

N-methyl-D-aspartate receptor (NMDAR) hypofunction in parvalbumin-expressing (PV+)
inhibitory neurons (INs) may contribute to symptoms in patients with schizophrenia (SZ). This …