Relating network connectivity to dynamics: opportunities and challenges for theoretical neuroscience

C Curto, K Morrison - Current opinion in neurobiology, 2019 - Elsevier
Highlights•Relating network connectivity to dynamics poses a serious theoretical
challenge.•Network science concepts may have limited relevance in a neuroscience …

Нелинейные динамические модели нейронов: обзор

АС Дмитричев, ДВ Касаткин… - Известия высших …, 2018 - cyberleninka.ru
Тема исследования. Представлен обзор основных динамических моделей нейронной
активности и обсуждаются индивидуальные особенности их поведения, которые могут …

[PDF][PDF] Nonlinear dynamical models of neurons

AS Dmitrichev, DV Kasatkin, VV Klinshov… - Izvestiya VUZ …, 2018 - researchgate.net
Topic. A review of the basic dynamical models of neural activity is presented and individual
features of their behavior are discussed, which can be used as a basis for the subsequent …

[HTML][HTML] Graph-theoretical derivation of brain structural connectivity

G Giacopelli, M Migliore, D Tegolo - Applied Mathematics and Computation, 2020 - Elsevier
Brain connectivity at the single neuron level can provide fundamental insights into how
information is integrated and propagated within and between brain regions. However, it is …

On the structure of cortical microcircuits inferred from small sample sizes

M Vegué, R Perin, A Roxin - Journal of Neuroscience, 2017 - Soc Neuroscience
The structure in cortical microcircuits deviates from what would be expected in a purely
random network, which has been seen as evidence of clustering. To address this issue, we …

Firing rate distributions in spiking networks with heterogeneous connectivity

M Vegué, A Roxin - Physical Review E, 2019 - APS
Mean-field theory for networks of spiking neurons based on the so-called diffusion
approximation has been used to calculate certain measures of neuronal activity which can …

The effects of within-neuron degree correlations in networks of spiking neurons

CR Laing, C Bläsche - Biological cybernetics, 2020 - Springer
We consider the effects of correlations between the in-and out-degrees of individual neurons
on the dynamics of a network of neurons. By using theta neurons, we can derive a set of …

Relating local connectivity and global dynamics in recurrent excitatory-inhibitory networks

Y Shao, S Ostojic - PLOS Computational Biology, 2023 - journals.plos.org
How the connectivity of cortical networks determines the neural dynamics and the resulting
computations is one of the key questions in neuroscience. Previous works have pursued two …

The mean field approach for populations of spiking neurons

G La Camera - Computational Modelling of the Brain: Modelling …, 2021 - Springer
Mean field theory is a device to analyze the collective behavior of a dynamical system
comprising many interacting particles. The theory allows to reduce the behavior of the …

Examining the low-voltage fast seizure-onset and its response to optogenetic stimulation in a biophysical network model of the hippocampus

L Zhang, Z Ma, Y Yu, B Li, S Wu, Y Liu… - Cognitive Neurodynamics, 2024 - Springer
Low-voltage fast (LVF) seizure-onset is one of the two frequently observed temporal lobe
seizure-onset patterns. Depth electroencephalogram profile analysis illustrated that the peak …