Mind the last spike—firing rate models for mesoscopic populations of spiking neurons

T Schwalger, AV Chizhov - Current opinion in neurobiology, 2019 - Elsevier
Highlights•Generalized integrate-and-fire (GIF) models permit efficient extraction of point
neuron parameters, which reproduce the spiking behavior of multiple cell types and are …

Republished: Dynamics of stochastic integrate-and-fire networks

GK Ocker - Physical Review X, 2023 - APS
The neural dynamics generating sensory, motor, and cognitive functions are commonly
understood through field theories for neural population activity. Classic neural field theories …

Theoretically provable spiking neural networks

SQ Zhang, ZH Zhou - Advances in Neural Information …, 2022 - proceedings.neurips.cc
Spiking neural networks have attracted increasing attention in recent years due to their
potential of handling time-dependent data. Many algorithms and techniques have been …

Shot noise in next-generation neural mass models for finite-size networks

VV Klinshov, SY Kirillov - Physical Review E, 2022 - APS
Neural mass models is a general name for various models describing the collective
dynamics of large neural populations in terms of averaged macroscopic variables. Recently …

Brain signal predictions from multi-scale networks using a linearized framework

E Hagen, SH Magnusson, TV Ness… - PLOS Computational …, 2022 - journals.plos.org
Simulations of neural activity at different levels of detail are ubiquitous in modern
neurosciences, aiding the interpretation of experimental data and underlying neural …

Oscillations in a Fully Connected Network of Leaky Integrate-and-Fire Neurons with a Poisson Spiking Mechanism

G Dumont, J Henry, CO Tarniceriu - Journal of Nonlinear Science, 2024 - Springer
Understanding the mechanisms that lead to oscillatory activity in the brain is an ongoing
challenge in computational neuroscience. Here, we address this issue by considering a …

Low-dimensional firing-rate dynamics for populations of renewal-type spiking neurons

B Pietras, N Gallice, T Schwalger - Physical Review E, 2020 - APS
The macroscopic dynamics of large populations of neurons can be mathematically analyzed
using low-dimensional firing-rate or neural-mass models. However, these models fail to …

Replica-mean-field limits for intensity-based neural networks

F Baccelli, T Taillefumier - SIAM Journal on Applied Dynamical Systems, 2019 - SIAM
Neural computations emerge from myriad neuronal interactions occurring in intricate spiking
networks. Due to the inherent complexity of neural models, relating the spiking activity of a …

Brain Network Dynamics and Multiscale Modelling of Neurodegenerative Disorders: A Review

H Shaheen, R Melnik - arxiv preprint arxiv:2410.23445, 2024 - arxiv.org
It is essential to understand the complex structure of the human brain to develop new
treatment approaches for neurodegenerative disorders (NDDs). This review paper …

Mesoscopic modeling of hidden spiking neurons

S Wang, V Schmutz, G Bellec… - Advances in Neural …, 2022 - proceedings.neurips.cc
Can we use spiking neural networks (SNN) as generative models of multi-neuronal
recordings, while taking into account that most neurons are unobserved? Modeling the …