Non-linear time series analysis of intracranial EEG recordings in patients with epilepsy—an overview

K Lehnertz - International Journal of Psychophysiology, 1999 - Elsevier
Deterministic chaos offers a striking explanation for apparently irregular behavior, a
characteristic feature of brain electrical activity. The framework of the theory of non-linear …

Nonlinear EEG analysis and its potential role in epileptology

CE Elger, G Widman, R Andrzejak, J Arnhold… - …, 2000 - Wiley Online Library
Deterministic chaos offers a striking explanation for apparently irregular behavior of the
brain that is evidenced in the EEG. Recent developments in the physical–mathematical …

The epileptic process as nonlinear deterministic dynamics in a stochastic environment: an evaluation on mesial temporal lobe epilepsy

RG Andrzejak, G Widman, K Lehnertz, C Rieke… - Epilepsy research, 2001 - Elsevier
The theory of deterministic chaos addresses simple deterministic dynamics in which
nonlinearity gives rise to complex temporal behavior. Although biological neuronal networks …

Seizure prediction by non‐linear time series analysis of brain electrical activity

CE Elger, K Lehnertz - European Journal of Neuroscience, 1998 - Wiley Online Library
Brain electrical activity of 16 patients with temporal lobe epilepsy, recorded intracranially
during seizure‐free intervals as well as during transitions to the seizure state, was analysed …

Epilepsy and nonlinear dynamics

K Lehnertz - Journal of biological physics, 2008 - Springer
This overview summarizes findings obtained from analyzing electroencephalographic (EEG)
recordings from epilepsy patients with methods from the theory of nonlinear dynamical …

Nonlinear dynamical analysis of EEG and MEG: review of an emerging field

CJ Stam - Clinical neurophysiology, 2005 - Elsevier
Many complex and interesting phenomena in nature are due to nonlinear phenomena. The
theory of nonlinear dynamical systems, also called 'chaos theory', has now progressed to a …

[PDF][PDF] Nonlinear EEG analysis in epilepsy: Its possible use for interictal focus localization, seizure anticipation, and

K Lehnertz, RG Andrzejak, J Arnhold, T Kreuz… - Journal of Clinical …, 2001 - Citeseer
Several recent studies emphasize the high value of nonlinear EEG analysis particularly for
improved characterization of epileptic brain states. In this review the authors report their …

Electroencephalograms in epilepsy: analysis and seizure prediction within the framework of Lyapunov theory

HR Moser, B Weber, HG Wieser, PF Meier - Physica D: Nonlinear …, 1999 - Elsevier
Epileptic seizures are defined as the clinical manifestation of excessive and
hypersynchronous activity of neurons in the cerebral cortex and represent one of the most …

[PDF][PDF] Measurement and quantification of spatiotemporal dynamics of human epileptic seizures

LD Iasemidis, JC Principe, JC Sackellares - Nonlinear biomedical signal …, 2000 - Citeseer
Since its discovery by Hans Berger in 1929, the electroencephalogram (EEG) has been the
most utilized signal to clinically assess brain function. The enormous complexity of the EEG …

Dynamical regimes underlying epileptiform events: role of instabilities and bifurcations in brain activity

JLP Velazquez, MA Cortez, OC Snead III… - Physica D: Nonlinear …, 2003 - Elsevier
Epileptic seizures represent a sudden and transient change in the synchronised firing of
neuronal brain ensembles. While the transition of the collective neuronal activity towards the …