We consider a leaky integrate-and-fire neuron with deterministic subthreshold dynamics and
a firing threshold that evolves as an Ornstein-Uhlenbeck process. The formulation of this …

We present results of an extensive numerical study of the dynamics of networks of integrate-
and-fire neurons connected randomly through inhibitory interactions. We first consider …

The highly variable dynamics of neocortical circuits observed in vivo have been
hypothesized to represent a signature of ongoing stochastic inference but stand in apparent …

The dynamics of neural networks is often characterized by collective behavior and quasi-
synchronous events, where a large fraction of neurons fire in short time intervals, separated …

The response of a neuronal population to afferent drive can be expected to be sensitive to
both the distribution and dynamics of membrane voltages within the population. Voltage …

For the integrate-and-fire model with or without reversal potentials, we consider how
correlated inputs affect the variability of cellular output. For both models, the variability of …

Transmission of signals within the brain is essential for cognitive function, but it is not clear
how neural circuits support reliable and accurate signal propagation over a sufficiently large …

Inhibition is a key aspect of neural dynamics playing a fundamental role for the emergence
of neural rhythms and the implementation of various information coding strategies. Inhibitory …

A complex interplay of single-neuron properties and the recurrent network structure shapes
the activity of cortical neurons. The single-neuron activity statistics differ in general from the …

Field models provide an elegant mathematical framework to analyze large-scale patterns of
neural activity. On the microscopic level, these models are usually based on either a firing …