A system of partial differential equations representing stochastic neural fields was recently
proposed with the aim of modelling the activity of noisy grid cells when a mammal travels …

Many systems of partial differential equations have been proposed as simplified
representations of complex collective behaviours in large networks of neurons. In this …

The distinct timescales of synaptic plasticity and neural activity dynamics play an important
role in the brain's learning and memory systems. Activity-dependent plasticity reshapes …

Localized persistent neural activity can encode delayed estimates of continuous variables.
Common experiments require that subjects store and report the feature value (eg …

A system of partial differential equations representing stochastic neural fields was recently
proposed with the aim of modelling the activity of noisy grid cells when a mammal travels …

We consider a population of Hawkes processes modeling the activity of N interacting
neurons. The neurons are regularly positioned on the circle [− π, π], and the connectivity …

Working memory is commonly thought to be implemented in the brain by the persistent
activity of attractor neural networks. Compelling evidence exists for the implementation of …

Persistent neural activity in the non-human primate cortex can represent delayed estimates
of continuum variables in working memory. This activity appears as a “bump” that …