Steady dynamics of coupled conductance-based integrate-and-fire neuronal networks in the limit of small fluctuations is studied via the equilibrium states of a Fokker-Planck equation. An asymptotic approximation for the membrane-potential probability density function is derived and the corresponding gain curves are found. Validity conditions are discussed for the Fokker-Planck description and verified via direct numerical simulations.Physics, Fluids & PlasmasPhysics, MathematicalSCI(E)EI7ARTICLE2null8
The collective dynamics of neuronal networks can be complex even when simplified one-compartment spi...
A diffusion model for the description of neurons' membrane potential fluctuations is proposed. Thoug...
The integrate-and-fire neuron with exponential postsynaptic potentials is a frequently employed mode...
To describe the collective behavior of large ensembles of neurons in neuronal network, a kinetic the...
Populations of spiking neuron models have densities of their microscopic variables (e.g., single-cel...
The profile of transmembrane-channel expression in neurons is class dependent and a crucial determin...
International audienceIn terms of mathematical structure, the voltage-conductance kinetic systems fo...
This paper reviews our recent work addressing the role of both synaptic-input and connectivity-archi...
Abstract. We present a detailed theoretical framework for statistical descriptions of neuronal netwo...
International audienceThe voltage-conductance kinetic equation for integrate and fire neurons has be...
20 pagesInternational audienceWe investigate the dynamics of large-scale interacting neural populati...
International audienceWe present a mathematical analysis of a networks with Integrate-and-Fire neuro...
The voltage-conductance equation determines the probability distribution of a stochastic process des...
We present a mathematical analysis of a networks with Integrate-and-Fire neurons with conductance ba...
Minimal models for the explanation of decision-making in computational neuroscience are based on the...
The collective dynamics of neuronal networks can be complex even when simplified one-compartment spi...
A diffusion model for the description of neurons' membrane potential fluctuations is proposed. Thoug...
The integrate-and-fire neuron with exponential postsynaptic potentials is a frequently employed mode...
To describe the collective behavior of large ensembles of neurons in neuronal network, a kinetic the...
Populations of spiking neuron models have densities of their microscopic variables (e.g., single-cel...
The profile of transmembrane-channel expression in neurons is class dependent and a crucial determin...
International audienceIn terms of mathematical structure, the voltage-conductance kinetic systems fo...
This paper reviews our recent work addressing the role of both synaptic-input and connectivity-archi...
Abstract. We present a detailed theoretical framework for statistical descriptions of neuronal netwo...
International audienceThe voltage-conductance kinetic equation for integrate and fire neurons has be...
20 pagesInternational audienceWe investigate the dynamics of large-scale interacting neural populati...
International audienceWe present a mathematical analysis of a networks with Integrate-and-Fire neuro...
The voltage-conductance equation determines the probability distribution of a stochastic process des...
We present a mathematical analysis of a networks with Integrate-and-Fire neurons with conductance ba...
Minimal models for the explanation of decision-making in computational neuroscience are based on the...
The collective dynamics of neuronal networks can be complex even when simplified one-compartment spi...
A diffusion model for the description of neurons' membrane potential fluctuations is proposed. Thoug...
The integrate-and-fire neuron with exponential postsynaptic potentials is a frequently employed mode...