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 …

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 …

EEG nonstationarity during intracranially recorded seizures: statistical and dynamical analysis

T Dikanev, D Smirnov, R Wennberg… - Clinical …, 2005 - Elsevier
OBJECTIVE: The investigation of nonstationarity in complex, multivariable signals, such as
electroencephalographic (EEG) recordings, requires the application of different and novel …

Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity

K Lehnertz, CE Elger - Physical review letters, 1998 - APS
We evaluate the capability of nonlinear time series analysis to extract features from brain
electrical activity (EEG) predictive of epileptic seizures. Time-resolved analysis of the EEG …

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 …

Improved spatial characterization of the epileptic brain by focusing on nonlinearity

RG Andrzejak, F Mormann, G Widman, T Kreuz… - Epilepsy research, 2006 - Elsevier
An advanced characterization of the complicated dynamical system brain is one of science's
biggest challenges. Nonlinear time series analysis allows characterizing nonlinear …

[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 …