Thomas Kreuz: Publications

Journal articles                Book chapters                Selected abstracts                Further abstracts                Thesis

Journal articles:                                                                                                                            

Haas JS*, Kreuz T*, Torcini A, Politi A, Abarbanel HDI:
Spiking neurons maintain their rate despite strong inputs.
submitted (2007).

Kreuz T, Haas JS, Morelli A, Abarbanel HDI, Politi A:
Measuring spike train synchrony.
J Neurosci Methods 165, 151 (2007) [PDF].

Kreuz T, Luccioli S, Torcini A:
Coherence Resonance due to correlated noise in neuronal models.
Neurocomputing 70, 1970 (2007) [PDF].

Torcini A, Luccioli S, Kreuz T:
Coherent Response of the Hodgkin-Huxley neuron in the high input regime.
Neurocomputing 70, 1943 (2007).

Kreuz T, Mormann F, Andrzejak RG, Kraskov A, Lehnertz K, Grassberger P:
Measuring synchronization in coupled model systems: A comparison of different approaches.
Phys D 225, 29 (2007) [PDF].

Kreuz T, Luccioli S, Torcini A:
Double coherence resonance in neuron models driven by discrete correlated noise.
Phys. Rev. Lett. 97, 238101 (2006) [PDF].

Luccioli S, Kreuz T, Torcini A:
Dynamical response of the Hodgkin-Huxley model in the high-input regime.
Phys. Rev. E 73, 041902 (2006).

Andrzejak RG, Mormann F, Widman G, Kreuz T, Elger CE, Lehnertz K:
Improved spatial characterization of the epileptic brain by focusing on nonlinearity.
Epilepsy Research 69, 30 (2006).

Mormann F, Kreuz T, Rieke C, Andrzejak RG, Kraskov A, David P, Elger CE, Lehnertz K:
On the predictability of epileptic seizures.
Clin. Neurophysiol. 116, 569 (2005).

Kreuz T, Andrzejak RG, Mormann F, Kraskov A, Stoegbauer H, Elger CE, Lehnertz K, Grassberger P:
Measure profile surrogates: A method to validate the performance of epileptic seizure prediction algorithms.
Phys. Rev. E 69, 061915 (2004) [PDF].

Kraskov A, Kreuz T, Andrzejak RG, Stoegbauer H, Nadler W, Grassberger P:
Extracting phases from aperiodic signals.
arXiv:cond-mat/0409382.

Andrzejak RG, Kraskov A, Stoegbauer H, Mormann F, Kreuz T:
On the necessity, strengths and caveats of bivariate surrogate techniques.
Phys. Rev. E 68, 066202 (2003).

Quian Quiroga R, Kraskov A, Kreuz T, and Grassberger P:
Reply to "Comment on 'Performance of different synchronization measures in real data: A case study on
electroencephalographic signals.'".
Phys. Rev. E 67, 063902 (2003).

Rieke C, Mormann F, Andrzejak RG, Kreuz T, David P, Elger CE, Lehnertz K:
Discerning nonstationarity from nonlinearity in seizure-free and pre-seizure EEG recordings from epilepsy patients.
IEEE Trans. Biomed. Eng. 50, 634 (2003).

Mormann F, Kreuz T, Andrzejak RG, David P, Lehnertz K, Elger CE:
Epileptic seizures are preceded by a decrease in synchronization.
Epilepsy Res. 53, 171 (2003).

Mormann F, Andrzejak RG, Kreuz T, Rieke C, David P, Elger CE, Lehnertz K:
Automated detection of a pre-seizure state based on a decrease in synchronization in intracranial EEG recordings
from epilepsy patients.
Phys. Rev. E 67, 021912 (2003).

Lehnertz K, Mormann F, Kreuz T, Andrzejak RG, Rieke C, David P, Elger CE:
Seizure prediction by nonlinear EEG analysis.
IEEE Trans. Biomed. Eng. (Special Issue), 22 (1), 57 (2003).

Andrzejak RG, Mormann F, Kreuz T, Rieke C, Kraskov A, Elger CE, Lehnertz K:
Testing the null hypothesis of the non-existence of a pre-seizure state.
Phys. Rev. E 67, 010901 (2003).

Quian Quiroga R, Kreuz T, and Grassberger P:
Event Synchronization: A simple and fast method to measure synchronicity and time delay patterns.
Phys.Rev. E, 66, 041904 (2002).

Quian Quiroga R, Kraskov A, Kreuz T, and Grassberger P:
Performance of different synchronization measures in real data: A case study on electroencephalographic signals.
Phys. Rev. E, 65, 041903 (2002).

Lehnertz K, Andrzejak RG, Arnhold J, Kreuz T, Mormann F, Rieke C, Widman G, Elger CE:
Nonlinear EEG analysis in epilepsy: Its possible use for interictal focus localization, seizure anticipation, and prevention.
J. Clin. Neurophysiol. 18, 209-222 (2001).

Book chapters:                                                                                                                              

Andrzejak RG, Kreuz T, Mormann F, Lehnertz K and Elger CE:
Surrogate time series improve the capability of nonlinear measures to characterize the epileptic process.
In: Klonowski (ed.) Simplicity behind complexity. Pabst Science Publishers, Berlin, pp. 360-366 (2004).

Elger CE, Mormann F, Kreuz T, Andrzejak RG, Rieke C, Sowa R, Florin S, David P, Lehnertz K:
Characterizing the spatio-temporal dynamics of the epileptogenic process with nonlinear EEG analysis.
In: R. Tetzlaff (Hrsg.) Proceedings of the 7th IEEE International Workshop on Cellular Neural Networks and Their
Applications. World Scientific, Singapore, 228-242 (2002).

Lehnertz K, Andrzejak RG, Kreuz T, Mormann F, Rieke C, David P, Elger CE:
Analysis of EEG data in epilepsy.
In: Nardulli G & Stramaglia S: Modelling biomedical signals. World Scientific, Singapore (2002).

Selected Abstracts and Conference Contributions:                                                                      

Kreuz T, Haas JS, Morelli A, Abarbanel HDI, Politi A:
Measuring spike train synchrony and reliability
CNS Conference, Toronto, Canada: BMC Neuroscience 8, 79 (2007).

Kreuz T, Andrzejak RG, Kraskov A, Mormann F, Lehnertz K, Grassberger P:
Measuring synchronization in coupled model systems: A comparison of different approaches.
Conference Proceedings "Topical problems of nonlinear wave physics", NWP, Russia (2005).

Kreuz T, Andrzejak RG, Kraskov A, Mormann F, Stoegbauer H, Elger CE, Grassberger P, Lehnertz K:
Measuring synchronization and directionality in EEG time series from epilepsy patients: An application to seizure prediction
American Epilepsy Society, Annual Meeting, New Orleans, USA: Epilepsia 45 (7), 243 (2004).

Kreuz T, Andrzejak RG, Kraskov A, Mormann F, Stoegbauer H, Elger CE, Grassberger P, Lehnertz K:
Time profile surrogates: A new method to validate the performance of seizure prediction algorithms.
American Epilepsy Society, Annual Meeting, Boston, USA: Epilepsia 44 (9), 231 (2003).

Kreuz T, Andrzejak RG, Kraskov A, Mormann F, Stoegbauer H, Elger CE, Grassberger P, Lehnertz K:
Validating the performance of epileptic seizure prediction algorithms using simulated annealing.
Conference Proceedings "Topical problems of nonlinear wave physics", NWP, Russia (2003).

Kreuz T, Kraskov A, Andrzejak RG, Mormann F, Rieke C, Grassberger P, Elger CE, Lehnertz K:
Seizure prediction: Quantifying the performance of measures in distinguishing pre-ictal from inter-ictal states.
American Epilepsy Society, Annual Meeting, Seattle, USA: Epilepsia 43 (7), 48 (2002).

Kreuz T, Kraskov A, Quian Quiroga R, Grassberger P, Andrzejak RG, Mormann F, Rieke C, Lehnertz K, Elger CE:
The capability of different interdependence measures to predict epileptic seizures.
American Epilepsy Society, Annual Meeting, Philadelphia, USA: Epilepsia 42 (7), 39 (2001).

Kreuz T, Quian Quiroga R, Grassberger P, Lehnertz K, Elger CE:
Interdependencies in intracranial EEG recordings of epilepsy patients: A comparison of different measures.
International Epilepsy Congress, Buenos Aires, Argentina: Epilepsia 42 (2), 49 (2001).

Kreuz T, Lehnertz K, David P, Elger CE:
Symbolic Dynamics: Reducing the information content of the EEG for interictal focus localization in mesial
temporal lobe epilepsy.
American Epilepsy Society, Annual Meeting, Los Angeles, USA: Epilepsia 41 (7), 212 (2000).

Further Abstracts and Conference Contributions:                                                                      

Andrzejak RG, Kreuz T, Mormann F, Kraskov A, Elger CE, Lehnertz K:
Nonlinearity: the key to a successful characterization of the spatial distribution of the epileptic process.
Epilepsia 45(7), 66 (2004).

Mormann F, Kraskov A, Kreuz T, Andrzejak RG, Osterhage H, Elger CE, Lehnertz K:
Seizure prediction: Influence of EEG band-pass filtering on the predictive performance of synchronization measures.
Epilepsia 45(7), 62 (2004).

Andrzejak RG, Kreuz T, Mormann M, Widman G, Elger CE, Lehnertz, K:
Surrogate Corrected Nonlinear Measures Allow Improved Focus Localization From Intracranial EEG Recordings In Epilepsy
Patients.
Dynamic Days Europe, Mallorca, Spain, (2004).

Quian Quiroga R, Kreuz T, Grassberger P:
A Very Simple and Fast Measure of Synchronization and Delay Between Signals.
AIP Conf. Proc. 676, 372 (2003).

Andrzejak RG, Kreuz T, Mormann F, Kraskov A, Rieke C, Elger CE, Lehnertz K:
Put your seizure prediction statistics to the test: The method of seizure time surrogates.
Epilepsia 44(9), 172 (2003).

Mormann F, Kreuz T, Rieke C, Andrzejak RG, Kraskov A, Elger CE, Lehnertz K:
On the predictability of seizures.
Epilepsia 44(9), 172 (2003).

Osterhage H, Mormann F, Kreuz T, Elger CE, Lehnertz K:
Synchronization and interdependence in intracranial EEG recordings from epilepsy patients: A comparative study.
Epilepsia 44(9), 232 (2003).

Andrzejak RG, Kraskov A, Kreuz T, Stoegbauer H, Mormann F, Lehnertz K, Grassberger P:
On the use of bivariate surrogates techniques in combination with nonlinear interdependence measures.
Conference Proceedings "Topical problems of nonlinear wave physics" NWP, Russia (2003).

Kraskov A, Stoegbauer H, Kreuz T, Andrzejak RG, Grassberger P:
New methods of calculating mutual information.
Conference Proceedings "Topical problems of nonlinear wave physics" NWP, Russia (2003).

Mormann F, Kreuz T, Rieke C, Andrzejak RG, Kraskov A, David P, Elger CE, Lehnertz K:
Epilepsy: Does a pre-seizure state really exist?
Conference Proceedings "Topical problems of nonlinear wave physics" NWP, Russia (2003).

Stoegbauer H, Kraskov A, Kreuz T, Andrzejak RG, Grassberger P:
Multivariate analysis: Characterization of physiological states from intracranial EEG recordings.
Conference Proceedings "Topical problems of nonlinear wave physics" NWP, Russia (2003).

Andrzejak RG, Rieke C, Mormann F, Kreuz T, David P, Elger CE, Lehnertz K:
On the influence of nonstationarity of the EEG on the capability of nonlinear surrogate measures to
characterize the spatial distribution of the epileptogenic process.
Epilepsia 43 (7), 43 (2002).

Kraskov A, Kreuz T, Quian Quiroga R, Grassberger P, Mormann F, Andrzejak RG, Elger CE, Lehnertz K:
Comparison of two phase synchronization analysis techniques for interictal focus lateralization in
mesial temporal lobe epilepsy.
Epilepsia 43 (7), 48 (2002).

Mormann F, Kreuz T, Andrzejak RG, Rieke C, Kraskov A, David P, Elger CE, Lehnertz K:
Preictal state detection in continuous intracranial EEG recordings based on decreased phase synchronization:
problems and pitfalls.
Epilepsia 43 (7), 121 (2002).

Quian Quiroga R, Kreuz T, Lehnertz K, Elger CE, Grassberger P:
Event Synchronization: A very simple and fast measure of synchronization and time delay patterns.
Epilepsia 43 (7), 49 (2002).

Rieke C, Andrzejak RG, Mormann F, Kreuz T, David P, Elger CE, Lehnertz K:
The influence of nonstationarity and segmentation size on the analysis of intracranial EEG recordings.
Epilepsia 43 (7), 49 (2002).

Stoegbauer H, Yang L, Grassberger P, Andrzejak RG, Kreuz T, Kraskov A, Elger CE, Lehnertz K:
Lateralization of the focal hemisphere in mesial temporal lobe epilepsy using independent component analysis.
Epilepsia 43 (7), 51 (2002).

Andrzejak RG, Kraskov A, Kreuz T, Mormann F, Grassberger P:
A comparison of the performance of different synchronization measures in combination with the method
of bivariate surrogates.
Conference Proceedings "International Conference on Synchronization of Chaotic and Stochastic Systems",
Saratov, Russia (2002).

Kraskov A, Kreuz T, Mormann F, Quian Quiroga R, Elger CE, Lehnertz K, Grassberger P:
Comparison of two phase synchronization analysis techniques: "Hilbert" and "Wavelet" phase synchronization.
Conference Proceedings "International Conference on Synchronization of Chaotic and Stochastic Systems",
Saratov, Russia (2002).

Andrzejak RG, Lehnertz K, Rieke C, Mormann F, Kreuz T, David P, Elger CE:
Focus lateralization in mesial temporal lobe epilepsy: A comparison of linear and nonlinear measures.
Epilepsia 42 (7), 98 (2001).

Kraskov A, Kreuz T, Quian Quiroga R, Grassberger P, Mormann F, Lehnertz K, Elger CE:
Phase synchronization using continuous Wavelet Transform of the EEG for interictal focus localization
in mesial temporal lobe epilepsy.
Epilepsia 42 (7), 38 (2001).

Mormann F, Lehnertz K, Andrzejak RG, Kreuz T, Rieke C, David P, Elger CE:
Preictal state detection in intracranial EEG recordings from epilepsy patients using the linear cross
correlation function.
Epilepsia 42 (7), 39 (2001).

Rieke C, Lehnertz K, Andrzejak RG, Mormann F, Kreuz T, David P, Elger CE:
Characterizing nonstationarities in the EEG of epilepsy patients.
Epilepsia 42 (7), 40 (2001).

Lehnertz K, Andrzejak RG, Mormann F, Kreuz T, David P, Elger CE:
Forecasting epileptic seizures: Adequacy of different EEG analysis techniques.
Epilepsia 41 (7), 212 (2000).

Thesis:                                                                                                                              

Kreuz T:
Measuring synchronization in model systems and electroencephalographic time series from epilepsy patients.
Interdisciplinary PhD thesis in physics, University of Wuppertal, Research Center Juelich (2003).
Supervisors: Prof. P. Grassberger, Research Center Juelich, Germany; Dr. K. Lehnertz, University of Bonn, Germany [PDF].

Kreuz T:
Symbolic dynamics in nonlinear model systems and time series of brain electrical activity.
Interdisciplinary Masters thesis in physics (German), University of Bonn (1999).
Supervisors: Prof. P. David, Prof. C. E. Elger, University of Bonn, Germany.