The epileptic process as nonlinear deterministic dynamics in a stochastic environment: an evaluation on mesial temporal lobe epilepsy.
The theory of deterministic chaos addresses simple deterministic dynamics in which nonlinearity gives rise to complex temporal behavior. Although biological neuronal networks such as the brain are highly complicated, a number of studies provide growing evidence that nonlinear time series analysis of brain electrical activity in patients with epilepsy is capable of providing potentially useful diagnostic information. In the present study, this analysis framework was extended by introducing a new measure xi, designed to discriminate between nonlinear deterministic and linear stochastic dynamics. For the evaluation of its discriminative power, xi was extracted from intracranial multi-channel EEGs recorded during the interictal state in 25 patients with unilateral mesial temporal lobe epilepsy. Strong indications of nonlinear determinism were found in recordings from within the epileptogenic zone, while EEG signals from other sites mainly resembled linear stochastic dynamics. In all investigated cases, this differentiation allowed to retrospectively determine the side of the epileptogenic zone in full agreement with results of the presurgical workup.
Andrzejak
R G
RG
Department of Epileptology, Medical Center, University of Bonn, Sigmund Freud Str. 25, 53105, Bonn, Germany. ralphandrzejak@yahoo.de
Widman
G
G
Lehnertz
K
K
Rieke
C
C
David
P
P
Elger
C E
CE
D000293:Adolescent; D000328:Adult; D002648:Child; D016002:Discriminant Analysis; D004569:Electroencephalography / Q000379:methods / Q000706:statistics & numerical data*; D004833:Epilepsy, Temporal Lobe / Q000503:physiopathology; D005260:Female; D006801:Humans; D008297:Male; D008875:Middle Aged; D017711:Nonlinear Dynamics; D012189:Retrospective Studies; D013269:Stochastic Processes