Dynamic models of large-scale brain activity

M Breakspear - Nature neuroscience, 2017 - nature.com
Movement, cognition and perception arise from the collective activity of neurons within
cortical circuits and across large-scale systems of the brain. While the causes of single …

Spatiotemporal dynamics of continuum neural fields

PC Bressloff - Journal of Physics A: Mathematical and …, 2011 - iopscience.iop.org
We survey recent analytical approaches to studying the spatiotemporal dynamics of
continuum neural fields. Neural fields model the large-scale dynamics of spatially structured …

[HTML][HTML] Mathematical framework for large-scale brain network modeling in The Virtual Brain

P Sanz-Leon, SA Knock, A Spiegler, VK Jirsa - Neuroimage, 2015 - Elsevier
In this article, we describe the mathematical framework of the computational model at the
core of the tool The Virtual Brain (TVB), designed to simulate collective whole brain …

[HTML][HTML] Effective connectivity: influence, causality and biophysical modeling

PA Valdes-Sosa, A Roebroeck, J Daunizeau, K Friston - Neuroimage, 2011 - Elsevier
This is the final paper in a Comments and Controversies series dedicated to “The
identification of interacting networks in the brain using fMRI: Model selection, causality and …

The contribution of geometry to the human connectome

JA Roberts, A Perry, AR Lord, G Roberts, PB Mitchell… - Neuroimage, 2016 - Elsevier
The human connectome is a topologically complex, spatially embedded network. While its
topological properties have been richly characterized, the constraints imposed by its spatial …

Model driven EEG/fMRI fusion of brain oscillations

PA Valdes‐Sosa, JM Sanchez‐Bornot… - Human brain …, 2009 - Wiley Online Library
This article reviews progress and challenges in model driven EEG/fMRI fusion with a focus
on brain oscillations. Fusion is the combination of both imaging modalities based on a …

Waves in neural media

PC Bressloff - Lecture notes on mathematical modelling in the life …, 2014 - Springer
This is a book on mathematical neuroscience, in which the unifying theme is wavelike
phenomena at multiple spatial and temporal scales. There are already several excellent …

Next-generation neural mass and field modeling

Á Byrne, RD O'Dea, M Forrester… - Journal of …, 2020 - journals.physiology.org
The Wilson–Cowan population model of neural activity has greatly influenced our
understanding of the mechanisms for the generation of brain rhythms and the emergence of …

Derivation of a neural field model from a network of theta neurons

CR Laing - Physical Review E, 2014 - APS
Neural field models are used to study macroscopic spatiotemporal patterns in the cortex.
Their derivation from networks of model neurons normally involves a number of …

Large-scale neural dynamics: simple and complex

S Coombes - NeuroImage, 2010 - Elsevier
We review the use of neural field models for modelling the brain at the large scales
necessary for interpreting EEG, fMRI, MEG and optical imaging data. Albeit a framework that …