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 …
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
Although MEG/EEG signals are highly variable, systematic changes in distinct frequency
bands are commonly encountered. These frequency-specific changes represent robust …
bands are commonly encountered. These frequency-specific changes represent robust …
How spike generation mechanisms determine the neuronal response to fluctuating inputs
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 …
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
We use a neural mass model to address some important issues in characterising functional
integration among remote cortical areas using magnetoencephalography or …
integration among remote cortical areas using magnetoencephalography or …
Multiscale modeling of brain dynamics: from single neurons and networks to mathematical tools
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 …
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
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 …
acts as a major source of noise. Here, we investigate the effects of the noise filtering by …
Modelling event-related responses in the brain
The aim of this work was to investigate the mechanisms that shape evoked
electroencephalographic (EEG) and magneto-encephalographic (MEG) responses. We …
electroencephalographic (EEG) and magneto-encephalographic (MEG) responses. We …
Maximum likelihood estimation of a stochastic integrate-and-fire neural model
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 …
which some linear filtering process is followed by a nonlinear, probabilistic spiking stage …
Population dynamics of interacting spiking neurons
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 …
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 …
kinetic equations, which are derived by a moment closure, directly from the original large …