We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

The sudden and apparently unpredictable nature of seizures is one of the most disabling
aspects of the disease epilepsy. A method capable of predicting the occurrence of seizures …

Normal brain function requires interactions between spatially separated, and functionally
specialized, macroscopic regions, yet the directionality of these interactions in large-scale …

Multivariate time series analysis is extensively used in neurophysiology with the aim of
studying the relationship between simultaneously recorded signals. Recently, advances on …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

The quantification of phase synchrony between neuronal signals is of crucial importance for
the study of large-scale interactions in the brain. Two methods have been used to date in …

Objective: An important issue in epileptology is the question whether information extracted
from the EEG of epilepsy patients can be used for the prediction of seizures. Several studies …

The recent past years have seen a noticeable increase of interest for
electroencephalography (EEG) to analyze functional connectivity through brain sources …

Information processing in the brain is thought to rely on the convergence and divergence of
oscillatory behaviors of widely distributed brain areas. This information flow is captured in its …

The association between neural oscillations and functional integration is widely recognized
in the study of human cognition. Large-scale synchronization of neural activity has also been …