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Predictability of epileptic seizures - Content -. Introduction and motivation Comparitive investigation: Predictive performance of measures of synchronization Statistical validation of seizure predictions: The method of measure profile surrogates Summary and outlook.
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Predictability of epileptic seizures - Content - • Introduction and motivation • Comparitive investigation: Predictive performance of measures of synchronization • Statistical validation of seizure predictions: The method of measure profile surrogates • Summary and outlook
Predictability of epileptic seizures - Introduction: Epilepsy - • ~ 1 % of world population suffers from epilepsy • ~ 22 % cannot be treated sufficiently • ~ 70 % can be treated with antiepileptic drugs • ~ 8 % might profit from epilepsy surgery • Exact localization of seizure generating area • Delineation from functionally relevant areas • Aim: Tailored resection ofepileptic focus
L R EEG containing onset of a seizure (preictal and ictal)
L R EEG in the seizure-free period (interictal)
Predictability of epileptic seizures - Motivation I - Open questions: • Does a preictal state exist? • Do characterizing measures allow a reliable detection of this state? Goals / Perspectives: • Increasing the patient‘s quality of life • Therapy on demand (Medication, Prevention) • Understanding seizure generating processes
Predictability of epileptic seizures - Motivation II - State of the art: • Reports on the existence of a preictal state, mainly based on univariate measures • Gradual shift towards the application of bivariate measures • Little experience with continuous multi-day recordings • No comparison of different characterizing measures • Mostly no statistical validation of results
Predictability of epileptic seizures - Motivation III - Why bivariate measures? • Synchronization phenomena key feature for establishing the communication between different regions of the brain • Epileptic seizure: Abnormal synchronization of neuronal ensembles • First promising results on short datasets: “Drop ofsynchronization” before epileptic seizures * * Mormann, Kreuz, Andrzejak et al., Epilepsy Research, 2003; Mormann, Andrzejak, Kreuz et al., Phys. Rev. E, 2003
Predictability of epileptic seizures - Procedure - Continuous EEG – multichannel recordings Calculation of a characterizing measure Investigation of suitability for prediction by means of a seizure prediction statistics - Sensitivity Performance - Specificity Estimation of statistical significance
Chan. 1 Chan. 2 Predictability of epileptic seizures - Moving window analysis - Window
Chan. 1 Chan. 2 Predictability of epileptic seizures - Moving window analysis - Window
Chan. 1 Chan. 2 Predictability of epileptic seizures - Moving window analysis - Window
Chan. 1 Chan. 2 Predictability of epileptic seizures - Moving window analysis - … Window
Reliable seperation preictal interictal impossible ! Predictability of epileptic seizures - Example: Drop of synchronization as a predictor - Time [Days] For this channel combination: sensitive not sensitive not specific specific
Clearly improved seperation preictal interictal Significant ? Seizure times surrogates Predictability of epileptic seizures - Example: Drop of synchronization as a predictor - Selection of best channel combination : Time [Days]
Predictability of epileptic seizures - Content - • Introduction and motivation • Comparitive investigation: Predictive performance of measures of synchronization • Statistical validation of seizure predictions: The method of measure profile surrogates • Summary and outlook
Predictability of epileptic seizures - Procedure - Continuous EEG – multichannel recordings Calculation of a characterizing measure Investigation of suitability for prediction by means of a seizure prediction statistics - Sensitivity Performance - Specificity Estimation of statistical significance
I. Database Seizures Time [h]
Predictability of epileptic seizures - Procedure - Continuous EEG – multichannel recordings Calculation of a characterizing measure Investigation of suitability for prediction by means of a seizure prediction statistics - Sensitivity Performance - Specificity Estimation of statistical significance
II. Bivariate measures - Overview - Synchronization Directionality • Cross Correlation Cmax • Mutual Information I • Indices of phase synchronization • based on • and using • Nonlinear interdependencies SsandHs • Event synchronization Q • - Shannon entropy (se) • - Conditional probabilty (cp) • Circular variance (cv) - Hilbert phase (H) - Wavelet phase (W) • Nonlinear interdependencies SaandHa • Delay asymmetry q
Cmax I Cmax I Cmax I 1.0 1.0 1.0 0.5 0.5 0.5 0.0 0.0 0.0 II. Bivariate measures - Cross correlation and mutual information - * * * * * *
II. Bivariate measures - Phase synchronization -
II. Bivariate measures - Nonlinear interdependencies - No coupling: X
II. Bivariate measures - Nonlinear interdependencies - Strong coupling:
II. Bivariate measures - Event synchronization and Delay asymmetry I - Chan. 1 Chan. 2 Time [s]
Predictability of epileptic seizures - Procedure - Continuous EEG – multichannel recordings Calculation of a characterizing measure Investigation of suitability for prediction by means of a seizure prediction statistics - Sensitivity Performance - Specificity Estimation of statistical significance
III. Seizure prediction statistics - Steps of analysis - • Measure profiles of all neighboring channel combinations • Statistical approach: • Comparison of preictal and interictal • amplitude distributions • Measure of discrimination: Area below the • Receiver-Operating-Characteristics (ROC) - Curve Mormann, Kreuz, Rieke et al., Clin Neurophysiol 2005
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity ROC-Area 1 - Specificity
III. Seizure prediction statistics: ROC Sensitivity ROC-Area Sensitivity ROC-Area Sensitivity ROC-Area Sensitivity ROC-Area 1 - Specificity
III. Seizure prediction statistics: Example Time [days] e Sensitivity ROC-Area 1 - Specificity
III. Seizure prediction statistics - Parameter of analysis - • Smoothing of measure profiles (s = 0; 5 min) • Length of the preictal interval (d = 5; 30; 120; 240 min) • ROC hypothesis H • - Preictal drop (ROC-Area > 0, ) • - Preictal peak (ROC-Area < 0, ) For each channel combination 2 * 4 * 2 = 16 combinations Optimization criterion for each measure:Best mean over patients Mormann, Kreuz, Rieke et al., Clin Neurophysiol 2005
Predictability of epileptic seizures - Procedure - Continuous EEG – multichannel recordings Calculation of a characterizing measure Investigation of suitability for prediction by means of a seizure prediction statistics - Sensitivity Performance - Specificity Estimation of statistical significance
IV. Statistical Validation - Problem: Over-optimization - Given performance: Significant or statistical fluctuation? Good measure: „Correspondence“ seizure times -measure profile To test against null hypothesis: Correspondence has to be destroyed Randomization of seizure times Randomization of measure profiles I. Seizure times surrogates II. Measure profile surrogates
IV. Statistical Validation - Seizure times surrogates - • Random permutation of the time intervals between actual seizures: Seizure times surrogates • Calculation of the seizure prediction statistics for the original as well as for 19 surrogate seizure times ( p=0.05) Andrzejak, Mormann, Kreuz et al., Phys Rev E, 2003
- Results: Measure profiles of phase synchronization - Channel combination Time [days]
Results - Evaluation schemes - • Discrimination of amplitude distributions Interictal Preictal • Global effect: • All Interictal All Preictal (1) • Local effect: • Interictal per channel comb Preictcal per channel comb (#comb) Mormann, Kreuz, Rieke et al., Clin Neurophysiol 2005
- First evaluation scheme - Channel combination Time [days]
Results: First evaluation scheme | ROC-Area | Measures
Results - Evaluation schemes - • Discrimination of amplitude distributions Interictal Preictal • Global effect: • All Interictal All Preictal (1) • Local effect: • Interictal per channel comb Preictcal per channel comb (#comb) Mormann, Kreuz, Rieke et al., Clin Neurophysiol 2005
- Second evaluation scheme - Channel combination Time [days]
- Second evaluation scheme - Channel combination Time [days]