Entropy and Complexity Analysis of Intracranially recorded EEG

We present an entropy and complexity analysis of intracranially recorded EEG from patients suffering from a left frontal lobe epilepsy. Our approach is based on symbolic dynamics and Shannon entropy. In particular, we will discuss the possibility to monitor long-term dynamical changes in brain electrical activity. This might offer an alternative approach for the analysis and more fundamental understanding of human epilepsies.

[1]  Werner Ebeling,et al.  PARTITION-BASED ENTROPIES OF DETERMINISTIC AND STOCHASTIC MAPS , 2001 .

[2]  Werner Ebeling,et al.  Prediction and entropy of nonlinear dynamical systems and symbolic sequences with LRO , 1997 .

[3]  C. Stam,et al.  Use of non-linear EEG measures to characterize EEG changes during mental activity. , 1996, Electroencephalography and clinical neurophysiology.

[4]  Klaus Lehnertz,et al.  POSSIBLE CLINICAL AND RESEARCH APPLICATIONS OF NONLINEAR EEG ANALYSIS IN HUMANS , 2000 .

[5]  Ebeling,et al.  Self-similar sequences and universal scaling of dynamical entropies. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  K. Lehnertz,et al.  Seizure prediction and the preseizure period , 2002, Current opinion in neurology.

[7]  Werner Ebeling,et al.  ENTROPY AND EXTENDED MEMORY IN DISCRETE CHAOTIC DYNAMICS , 1996 .

[8]  W. Ebeling,et al.  Finite sample effects in sequence analysis , 1994 .

[9]  J. Kurths,et al.  Quantitative analysis of heart rate variability. , 1995, Chaos.

[10]  C. Elger,et al.  CAN EPILEPTIC SEIZURES BE PREDICTED? EVIDENCE FROM NONLINEAR TIME SERIES ANALYSIS OF BRAIN ELECTRICAL ACTIVITY , 1998 .

[11]  Bärbel Schack,et al.  How to Construct a Microstate-Based Alphabet for Evaluating Information Processing in Time , 2004, Int. J. Bifurc. Chaos.

[12]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[13]  Olbrich,et al.  Chaos or noise: difficulties of a distinction , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  A M Dam.  Neuropathology of epilepsy. , 1990, Acta neurochirurgica. Supplementum.

[15]  J. D. Saddy,et al.  Symbolic dynamics of event-related brain potentials. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  K Lehnertz,et al.  Nonlinear EEG Analysis and Its Potential Role in Epileptology , 2000, Epilepsia.

[17]  N. Packard,et al.  Symbolic dynamics of noisy chaos , 1983 .

[18]  P. Rapp,et al.  The algorithmic complexity of neural spike trains increases during focal seizures , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[19]  P. Gaspard,et al.  Noise, chaos, and (ε,τ)-entropy per unit time , 1993 .

[20]  Katharina Wittfeld,et al.  Distances of Time Series Components by Means of Symbolic Dynamics , 2004, Int. J. Bifurc. Chaos.

[21]  D. Ruelle,et al.  Ergodic theory of chaos and strange attractors , 1985 .

[22]  H. Kantz,et al.  Nonlinear time series analysis , 1997 .