The integrate-and-fire neuron with exponential postsynaptic potentials is a frequently
employed model to study neural networks. Simulations in discrete time still have highest …

Cortical neurons in vivo undergo a continuous bombardment due to synaptic activity, which
acts as a major source of noise. Here, we investigate the effects of the noise filtering by …

Delivery of neurotransmitter produces on a synapse a current that flows through the
membrane and gets transmitted into the soma of the neuron, where it is integrated. The …

We present a mathematical analysis of a networks with Integrate-and-Fire neurons with
conductance based synapses. Taking into account the realistic fact that the spike time is only …

We derive analytical formulas for the firing rate of integrate-and-fire neurons endowed with
realistic synaptic dynamics. In particular, we include the possibility of multiple synaptic inputs …

Firing-rate models provide a practical tool for studying the dynamics of trial-or population-
averaged neuronal signals. A wealth of theoretical and experimental studies has been …

We analyze the effect of noise in integrate-and-fire neurons driven by time-dependent input
and compare the diffusion approximation for the membrane potential to escape noise. It is …

We calculate the instantaneous firing rate of a stochastic integrate-and-fire neuron driven by
an arbitrary time-dependent signal up to second order in the signal amplitude. For cosine …

In a previous paper (Rudolph & Destexhe,), we proposed various models, the gIF neuron
models, of analytical integrate-and-fire (IF) neurons with conductance-based (COBA) …

Computational models offer a unique tool for understanding the network-dynamical
mechanisms which mediate between physiological and biophysical properties, and …