An integral equation describing the time evolution of the population activity in a
homogeneous pool of spiking neurons of the integrate-and-fire type is discussed. It is …

Hebbian learning allows a network of spiking neurons to store and retrieve spatio-temporal
patterns with a time resolution of 1 ms, despite the long postsynaptic and dendritic …

We derive return maps and phase diagrams to identify mechanisms of synchronization of
pulse-coupled oscillators and emphasize the importance of temporal delays and inhibitory …

Inhibitory neurons, although relatively few in number, exert powerful control over brain
circuits. They stabilize network activity in the face of strong feedback excitation and actively …

It is generally believed that a neuron is a threshold element that fires when some variable u
reaches a threshold. Here we pursue the question of whether this picture can be justified …

Modeling work in neuroscience can be classified using two different criteria. The first one is
the complexity of the model, ranging from simplified conceptual models that are amenable to …

We demonstrate that single-variable integrate-and-fire models can quantitatively capture the
dynamics of a physiologically detailed model for fast-spiking cortical neurons. Through a …

Biological structures can be seen as collections of special devices coordinated by a matrix of
organization. Devices are dif? cult to evolve and are meticulously conserved through the …

The collective behavior of interconnected spiking nerve cells is investigated. It is shown that
a variety of model systems exhibit the same short-time behavior and rapidly converge to …

An organism which interacts with its environment must be capable of receiving sensory input
from the environment. It has to process the sensory information, recognize food sources or …