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CHAOS IN BRAIN
Proceedings of the Workshop

University of Bonn, Germany, 10-12 March 1999


CONTENTS

FRONT MATTER
i
LECTURES
CORTICAL DYNAMICS – EXPERIMENTS AND MODELS
STEFAN ROTTER and AD AERTSEN
3
IS NONLINEARITY EVIDENT IN TIME SERIES OF BRAIN ELECTRICAL ACTIVITY?
THOMAS SCHREIBER
13
FINDING AND CHARACTERIZING UNSTABLE FIXED POINTS BY CONTROLLING SYSTEM DYNAMICS
DANIEL T. KAPLAN
23
DETECTION OF PHASE LOCKING FROM NOISY DATA: APPLICATION TO MAGNETOENCEPHALOGRAPHY
MICHAEL ROSENBLUM, PETER TASS, JÜRGEN KURTHS, JENS VOLKMANN, ALFONS SCHNITZLER and HANS-JOACHIM FREUND
34
DYNAMICAL ANALYSIS IN CLINICAL PRACTICE
P. E. RAPP and T. I. SCHMAH
52
RHYTHMS OF THE BRAIN: BETWEEN RANDOMNESS AND DETERMINISM
F.H. LOPES DA SILVA, J.P.M. PIJN, J.A. GORTER, E. VAN VLIET, E.W. DAALMAN and W. BLANES
63
PRE-ICTAL CHANGES OF THE EEG DYNAMICS IN EPILEPTIC PATIENTS: CLINICAL AND NEUROBIOLOGICAL IMPLICATIONS
M. BAULAC, M. LE VAN QUYEN, J. MARTINERIE, S. CLEMENCEAU, C. ADAM and F. VARELA
77
SPATIO-TEMPORAL DYNAMICS OF EPILEPTOGENIC NETWORKS
M. Le Van Quyen, J. Martinerie and F.J. Varela
86
PRE–ICTAL CHANGES AND EEG ANALYSES WITHIN THE FRAMEWORK OF LYAPUNOV THEORY
H. R. MOSER, P. F. MEIER, H. G. WIESER and B. WEBER
96
EPILEPSY – WHEN CHAOS FAILS
J. CHRIS SACKELLARES, LEONTDAS D. IASEMIDIS, DENG-SHAN SHIAU, ROBIN L. GILMORE and STEVEN N. ROPER
112
POSSIBLE CLINICAL AND RESEARCH APPLICATIONS OF NONLINEAR EEG ANALYSIS IN HUMANS
KLAUS LEHNERTZ, RALPH G. ANDRZEJAK, JOCHEN ARNHOLD, GUIDO WIDMAN, WIELAND BURR, PETER DAVID and CHRISTIAN E. ELGER
134
DYNAMICS OF EEG SIGNALS DURING PETIT-MAL EPILEPTIC SEIZURES
R. FRIEDRICH
156
DETECTION OF EPILEPTIC DYNAMICS IN NEUROMAGNETIC SIGNALS: SPECTRAL ANALYSES VERSUS CHARACTERISTICS OF CORRELATION FUNCTION
E. BOHL, R. KENZLER, T. ELBERT, B. ROCKSTROH and CH. ELGER
164
NONLINEAR METHODS FOR EVOKED POTENTIAL ANALYSIS AND MODELING
BEN H. JANSEN
173
FROM SLOW POTENTIALS TO CHAOS: PROCESSING IN THE BRAIN AND CONTROLLING THE BRAIN
HUBERT PREIßL and WERNER LUTZENBERGER
194
POSTERS
DETECTION OF DETERMINISTIC DYNAMICS IN SHORT DISCRETE TIME SERIES
ALESSANDRA CELLETTI, CLAUDE FROESCHLÉ, IGOR V. TETKO and ALESSANDRO E.P. VILLA
213
CHARACTERIZATION OF LINEAR AND NONLINEAR STRUCTURE IN HIGH-DIMENSIONAL, SPATIALLY EXTENDED SYSTEMS: THE ALGORITHM OF MULTICHANNEL NONLINEAR CROSS PREDICTION
C. J. STAM and W.S. PRITCHARD
217
SURROGATE DATA FOR NON–STATIONARY SIGNALS
ANDREAS SCHMITZ and THOMAS SCHREIBER
222
ANALYSIS OF FLUCTUATING DATA SETS OF DIFFUSION PROCESSES
SILKE SIEGERT, RUDOLF FRIEDRICH and PETER HÄNGGI
226
COMPLICATIONS IN APPLYING THE METHOD OF SURROGATE DATA TO EEG
D. KUGIUMTZIS
230
SPONTANEOUS SYNCHRONISATION IN A DISCRETE NEURAL NETWORK MODEL
DANIEL VOLK
234
PATTERNS OF COMPLEXITY AND COHERENT OSCILLATIONS IN A THALAMO-CORTICAL NETWORK MODEL
J. SCHWARZ, A. STEVENS, K. BRÄUER and M. BARTELS
238
NON-LINEAR COUPLING OF LOCAL FIELD POTENTIALS ACROSS CORTICAL SITES IN PARVALBUMIN-DEFICIENT MICE
ALESSANDRO E.P. VILLA, PIERRE DUTOIT, IGOR V. TETKO, WILLI HUNZIKER, MARCO CELIO and BEAT SCHWALLER
243
ANALYTICAL PROOF OF CHAOS IN SINGLE NEURONS AND CONSEQUENCES
LADISLAV ANDREY
247
EEG-DETECTED EPISODES OF LOW-DIMENSIONAL SELF-ORGANIZED CORTICAL ACTIVITY AND THE PROBLEM OF CHAOS IN THE BRAIN
R. CERF, E.H. EL OUASDAD and M. EL AMRI
251
CORRELATION DIMENSION AS A METHOD TO INVESTIGATE HUMAN REM-SLEEP
G. FRITZER and T. MAß
255
THE APPLICATION OF A NON-LINEAR ANALYSIS TECHNIQUE TO THE MONITORING OF ANESTHETIC EFFECTS IN THE RAT
P.L.C. VAN DEN BROEK, J. VAN EGMOND, C.M. VAN RIJN, R. DIRKSEN, A.M.L. COENEN and L.H.D.J. BOOIJ
259
DETECTION OF DETERMINISM IN EEG TIME SERIES FROM HUMAN SLEEP BY AN INTERSPIKE INTERVAL APPROACH
ANDREAS GALKA
263
DETECTING SPATIO–TEMPORAL INFORMATION FLOW IN THE CORTEX BY MUTUAL INFORMATION ANALYSIS OF MEG DATA
L.-H. HISS and B. POMPE
267
EVIDENCE OF INVERSE COVARIATION BETWEEN ALPHA POWER AND CORRELATION DIMENSION IN HUMAN BRAIN DYNAMICS
W.S. TIRSCH, M. KEIDEL, S. PERZ, H. SCHERB and G. SOMMER
271
CORRELATION SUMS FROM EEG TIME SERIES: A MEASURE TO QUANTIFY DEPTH OF ANESTHESIA
G. WIDMAN, B. REHBERG, A. HOEFT, K. LEHNERTZ and C.E. ELGER
275
DETECTION OF PHASE SYNCHRONIZATION IN HUMAN MEG DATA
P. TASS, J. GROSS, M.G. ROSENBLUM, A. SCHNITZLER, J. VOLKMANN, J. KURTHS and H.-J. FREUND
279
MEG-RECORDINGS OF SYLLABLES PERCEPTION: PERTURBATIONS FROM A STABLE STATE IN THE AUDITORY CORTEX
KLAUS MATHIAK, INGO HERTRICH, WERNER LUTZENBERGER and HERMANN ACKERMANN
283
MEASURING CHANGES IN COGNITIVE EVENT RELATED POTENTIALS
R. A. PITTENGER, A. M. ALBANO, R. C. JOSIASSEN and P. E. RAPP
288
FAST SUBDURAL SIGNALS IN HUMANS SHOW TASK- AND EVENT-RELATED CHANGES OF CONVENTIONAL AND NOVEL COUPLING MEASURES DURING COGNITIVE PROCESSES
ANDREAS BRUNS, REINHARD ECKHORN, HENNRIC JOKEIT and ALOIS EBNER
292
BRAIN ACTIVITY DETECTED BY COMPLEXITY MEASUREMENTS: A METHODOLOGICAL APPROACH
R. MAMMOLITI, M.F. SANTARELLI, A. BENASSI and L. LANDINI
297
PHASE-LOCKING OF EVENT-RELATED ALPHA OSCILLATIONS
R. QUIAN QUIROGA, E. BAŞAR and M. SCHÜRMANN
301
NONLINEAR FILTERING IN WAVELET DOMAIN: APPLICATION TO SINGLE TRIAL ANALYSIS OF LIMBIC P300 POTENTIALS
A. EFFERN, K. LEHNERTZ, T. GRUNWALD, P. DAVID and C.E. ELGER
305
INFLUENCE OF THE POWER-SPECTRUM OF THE PRE-STIMULUS EEG ON THE CONSECUTIVE AUDITORY EVOKED POTENTIAL IN RATS
M.L.A. JONGSMA, C.M. VAN RIJN, R. QUIAN QUIROGA, W.J. VAN SCHAIJK, R. DIRKSEN and A.M.L. COENEN
309
EFFICIENT ARMA MODELING OF ECOG DATA OF EPILEPTIC PATIENTS DURING PRE-ICTAL, INTER-ICTAL AND ICTAL STATES
DORIS C. BORONOWSKI and POL D. SPANOS
313
CHARACTERIZATION OF NONLINEAR DYNAMICS IN THE SCALP EEG OF EPILEPTIC SEIZURES
U. MÖLLER, K. SCHMIDT, H. WITTE and M. FEUCHT
317
THE USE OF PRINCIPAL COMPONENT ANALYSIS IN THE ANALYSIS OF DEPTH RECORDINGS DURING EPILEPTIC SEIZURES
S. V. NOTLEY, S. J. ELLIOTT, L. E. SUNDSTROM, W. P. GRAY, D. LURTON and A. ROUGIER
321
DETECTING INTERDEPENDENCES IN INTRACRANIAL EEG RECORDINGS OF EPILEPSY PATIENTS
JOCHEN ARNHOLD, PETER GRASSBERGER, KLAUS LEHNERTZ and CHRISTIAN E. ELGER
325
LINEAR AND NONLINEAR ANALYSIS OF EEG FOR THE PREDICTION OF EPILEPTIC SEIZURES
D. KUGIUMTZIS and P. G. LARSSON
329
SENSITIVE MEASURES OF CONDITION CHANGE IN EEG DATA
L. M. HIVELY, P. C. GAILEY and V.A. PROTOPOPESCU
333
BURSTING DISCHARGES IN A MATHEMATICAL MODEL OF THE NEOCORTEX
CH. HAUPTMANN and F. GIANNAKOPOULOS
337
NONLINEAR DETERMINISTIC DYNAMICS IN SEIZURE FREE EEG EPOCHS AS AN INDICATOR OF THE EPILEPTOGENIC PROCESS: A COMPARISON OF THREE SURROGATE METHODS
R.G. ANDRZEJAK, G. WIDMAN, K. LEHNERTZ, P. DAVID and C. E. ELGER
340
EEG DIMENSIONAL COMPLEXITY MAPPING IN STROKE
M. MOLNÁR, Z. NAGY and J. KENÉZ
344
NONLINEAR DYNAMIC IN THE EEG OF SCHIZOPHRENIC PATIENTS AND ITS VARIATION WITH MENTAL TASKS
M. DRESSEL, B. AMBÜHL-BRAUN, R. DÜNKI, P.F. MEIER and T. ELBERT
348
NONLINEAR ANALYSIS OF EEG SLOW-WAVE ACTIVITY DURING SLEEP AND SLEEP REGULATION MODELING: A STUDY IN NARCOLEPTIC PATIENTS UNDER BED REST CONDITIONS
R. FERRI, S. PETTINATO, F. FERRILLO, L. NOBILI and M. BILLIARD
353
THE CORRELATION DIMENSION OF ABSENCE-LIKE PHENOMENA IN THE EEGs OF RATS
C.M. VAN RIJN, P.L.C. VAN DEN BROEK, R. DIRKSEN, J. VAN EGMOND and A.M.L. COENEN
357
BACK MATTER
363
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