A constructive mean-field analysis of multi population neural networks with random synaptic weights and stochastic inputs

OD Faugeras, JD Touboul, B Cessac - Frontiers in computational …, 2009 - frontiersin.org
We deal with the problem of bridging the gap between two scales in neuronal modeling. At
the first (microscopic) scale, neurons are considered individually and their behavior …

Metastable resting state brain dynamics

P Beim Graben, A Jimenez-Marin, I Diez… - Frontiers in …, 2019 - frontiersin.org
Metastability refers to the fact that the state of a dynamical system spends a large amount of
time in a restricted region of its available phase space before a transition takes place …

[HTML][HTML] A novel density-based neural mass model for simulating neuronal network dynamics with conductance-based synapses and membrane current adaptation

CH Huang, CCK Lin - Neural Networks, 2021 - Elsevier
Despite of its success in understanding brain rhythms, the neural mass model, as a low-
dimensional mean-field network model, is phenomenological in nature, so that it cannot …

Conductance-based refractory density approach: comparison with experimental data and generalization to lognormal distribution of input current

AV Chizhov - Biological cybernetics, 2017 - Springer
The conductance-based refractory density (CBRD) approach is an efficient tool for modeling
interacting neuronal populations. The model describes the firing activity of a statistical …

Simplest relationship between local field potential and intracellular signals in layered neural tissue

AV Chizhov, A Sanchez-Aguilera, S Rodrigues… - Physical Review E, 2015 - APS
The relationship between the extracellularly measured electric field potential resulting from
synaptic activity in an ensemble of neurons and intracellular signals in these neurons is an …

A biophysical observation model for field potentials of networks of leaky integrate-and-fire neurons

P beim Graben, S Rodrigues - Frontiers in Computational …, 2013 - frontiersin.org
We present a biophysical approach for the coupling of neural network activity as resulting
from proper dipole currents of cortical pyramidal neurons to the electric field in extracellular …

Empirical modeling and prediction of neuronal dynamics

P Fisco-Compte, D Aquilué-Llorens, N Roqueiro… - Biological …, 2024 - Springer
Mathematical modeling of neuronal dynamics has experienced a fast growth in the last
decades thanks to the biophysical formalism introduced by Hodgkin and Huxley in the …

[PDF][PDF] Механизмы изменения динамической сложности паттернов физиологических сигналов

ОЕ Дик, АД Ноздрачев - Петерб. ун-та, 2019 - infran.ru
Любая физиологическая система способна адаптироваться к постоянно изменяющимся
условиям среды, в силу чего ее физиологическим показателям свойственна …

Adaptation and inhibition control pathological synchronization in a model of focal epileptic seizure

A Buchin, CC Kerr, G Huberfeld, R Miles, B Gutkin - eneuro, 2018 - eneuro.org
Pharmacoresistant epilepsy is a common neurological disorder in which increased neuronal
intrinsic excitability and synaptic excitation lead to pathologically synchronous behavior in …

Firing-rate model of a population of adaptive neurons

AY Buchin, AV Chizhov - Biophysics, 2010 - Springer
A firing rate (FR) model for a population of adaptive leaky integrate-and-fire neurons has
been proposed. Unlike known FR models, it describes more precisely the unsteady firing …