Co-operative populations of neurons: mean field models of mesoscopic brain activity

DTJ Liley, BL Foster, I Bojak - Computational Systems Neurobiology, 2012 - Springer
While the basic units of computation in the brain are the neuronal cells, their sheer number,
complexity of structural organisation and widespread connectivity make it difficult, if not …

[HTML][HTML] Mean-fields and neural masses

K Friston - PLoS Computational Biology, 2008 - journals.plos.org
This issue's front section features a special Review: The Dynamic Brain: From Spiking
Neurons to Neural Masses and Cortical Fields. I was asked to write this Editorial on behalf of …

Mean-field models for EEG/MEG: from oscillations to waves

Á Byrne, J Ross, R Nicks, S Coombes - Brain topography, 2022 - Springer
Neural mass models have been used since the 1970s to model the coarse-grained activity
of large populations of neurons. They have proven especially fruitful for understanding brain …

A mean-field approach to the dynamics of networks of complex neurons, from nonlinear Integrate-and-Fire to Hodgkin–Huxley models

M Carlu, O Chehab, L Dalla Porta… - Journal of …, 2020 - journals.physiology.org
We present a mean-field formalism able to predict the collective dynamics of large networks
of conductance-based interacting spiking neurons. We apply this formalism to several …

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 …

Neural masses and fields: modeling the dynamics of brain activity

D Pinotsis, P Robinson, P beim Graben… - Frontiers in …, 2014 - frontiersin.org
Biophysical modeling of brain activity has a long and illustrious history (Ermentrout, 1998;
Deco et al., 2008; Coombes, 2010) and has recently profited from technological advances …

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 …

Towards a theory of cortical columns: From spiking neurons to interacting neural populations of finite size

T Schwalger, M Deger, W Gerstner - PLoS computational biology, 2017 - journals.plos.org
Neural population equations such as neural mass or field models are widely used to study
brain activity on a large scale. However, the relation of these models to the properties of …

Population dynamics under the Laplace assumption

AC Marreiros, SJ Kiebel, J Daunizeau, LM Harrison… - Neuroimage, 2009 - Elsevier
In this paper, we describe a generic approach to modelling dynamics in neuronal
populations. This approach models a full density on the states of neuronal populations but …

The dynamic brain: from spiking neurons to neural masses and cortical fields

G Deco, VK Jirsa, PA Robinson… - PLoS computational …, 2008 - journals.plos.org
The cortex is a complex system, characterized by its dynamics and architecture, which
underlie many functions such as action, perception, learning, language, and cognition. Its …