A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties

AN Burkitt - Biological cybernetics, 2006 - Springer
The integrate-and-fire neuron model describes the state of a neuron in terms of its
membrane potential, which is determined by the synaptic inputs and the injected current that …

A neural mass model for MEG/EEG:: coupling and neuronal dynamics

O David, KJ Friston - NeuroImage, 2003 - Elsevier
Although MEG/EEG signals are highly variable, systematic changes in distinct frequency
bands are commonly encountered. These frequency-specific changes represent robust …

How spike generation mechanisms determine the neuronal response to fluctuating inputs

N Fourcaud-Trocmé, D Hansel… - Journal of …, 2003 - Soc Neuroscience
This study examines the ability of neurons to track temporally varying inputs, namely by
investigating how the instantaneous firing rate of a neuron is modulated by a noisy input with …

Evaluation of different measures of functional connectivity using a neural mass model

O David, D Cosmelli, KJ Friston - Neuroimage, 2004 - Elsevier
We use a neural mass model to address some important issues in characterising functional
integration among remote cortical areas using magnetoencephalography or …

Multiscale modeling of brain dynamics: from single neurons and networks to mathematical tools

C Siettos, J Starke - Wiley Interdisciplinary Reviews: Systems …, 2016 - Wiley Online Library
The extreme complexity of the brain naturally requires mathematical modeling approaches
on a large variety of scales; the spectrum ranges from single neuron dynamics over the …

Dynamics of the firing probability of noisy integrate-and-fire neurons

N Fourcaud, N Brunel - Neural computation, 2002 - ieeexplore.ieee.org
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 …

Modelling event-related responses in the brain

O David, L Harrison, KJ Friston - NeuroImage, 2005 - Elsevier
The aim of this work was to investigate the mechanisms that shape evoked
electroencephalographic (EEG) and magneto-encephalographic (MEG) responses. We …

Maximum likelihood estimation of a stochastic integrate-and-fire neural model

L Paninski, E Simoncelli… - Advances in Neural …, 2003 - proceedings.neurips.cc
Recent work has examined the estimation of models of stimulus-driven neural activity in
which some linear filtering process is followed by a nonlinear, probabilistic spiking stage …

Population dynamics of interacting spiking neurons

M Mattia, P Del Giudice - Physical Review E, 2002 - APS
A dynamical equation is derived for the spike emission rate ν (t) of a homogeneous network
of integrate-and-fire (IF) neurons in a mean-field theoretical framework, where the activity of …

An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex

D Cai, L Tao, M Shelley… - Proceedings of the …, 2004 - National Acad Sciences
A coarse-grained representation of neuronal network dynamics is developed in terms of
kinetic equations, which are derived by a moment closure, directly from the original large …