Institute for complex systems (ISC), National research council (CNR), Sesto Fiorentino, Italy
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I am a computational neuroscientist with a physics background. My main field of interest is the development and application of methods to quantify the synchronization between two or more electrophysiological signals.
In recent years the focus of my attention has been on discrete signals and measures of spike train synchrony such as the SPIKE-distance. Currently, I concentrate on the development of methods to measure spike train synchrony between neuronal populations.
Before I worked on continuous signals, e.g. intracranial EEGs from epilepsy patients, and the objective was to evaluate the usefulness of synchronization measures for epileptic seizure prediction by means of a statistical validation.
In the past, another part of my work dealt with simulations of neuronal models (Hodgkin-Huxley, Fitzhugh-Nagumo) under the influence of noise. Finally, I did some work on nonlinear dynamics and nonlinear time series analysis.
Since 2010 I am on a permanent position as "Primo ricercatore" (senior researcher, equivalent to an associate professor) at the Institute of Complex Systems (ISC, Head of Section: Antonio Politi) within the National Research Council (CNR) in Florence, Italy.
From 2007 to 2009 I was an EU Marie Curie Outgoing International Fellow (OIF). This fellowship lasted for three years and involved an international collaboration between two institutes in the US and in Italy. For the first two years (the outgoing phase) I was at the Institute of Nonlinear Science (INLS, Director: Henry D.I. Abarbanel) at the University of California, San Diego (UCSD), Ca, USA, while for the final year (the reintegration phase) I returned to the Institute of Complex Systems in Florence. In the two years before I was an EU Marie Curie Intra-European Fellow (EIF) at the Institute of Complex Systems.
Before that I worked at the John von Neumann Institute of Computing (NIC) at the Research Center Juelich, Germany (Director: Peter Grassberger) where I obtained my PhD in physics in 2003 (awarded by the University of Wuppertal, Germany). During this time I was also associated with the Neurophysics group (Head: Klaus Lehnertz) at the Department of Epilepsy at the University of Bonn, Germany (Director: Christian E. Elger).
 Malvestio I, Kreuz T, Andrzejak RG: Robustness and versatility of a nonlinear interdependence method for directional coupling detection from spike trains. Physical Review E, in press (2017).
 Kreuz T, Satuvuori E, Mulansky M: SPIKE-order. Scholarpedia, 12(7):42441 (2017).
 Satuvuori E, Mulansky M, Bozanic N, Malvestio I, Zeldenrust F, Lenk K, Kreuz T: Measures of spike train synchrony for data with multiple time-scales. JNeurosci Methods 287, 25: https://doi.org/10.1016/j.jneumeth.2017.05.028 and arXiv  (2017).
 Kreuz T, Satuvuori E, Pofahl M, Mulansky M: Leaders and followers: Quantifying consistency in spatio-temporal propagation patterns. New J. Phys., 19, 043028: https://doi.org/10.1088/1367-2630/aa68c3, and arXiv  (2017).
 Mulansky M, Kreuz T: PySpike - A Python library for analyzing spike train synchrony. Software X 5, 183 and arXiv  (2016).
 Mulansky M, Bozanic N, Sburlea A, Kreuz T: A guide to time-resolved and parameter-free measures of spike train synchrony. IEEE (in press) and arXiv  (2015).
 Kreuz T, Mulansky M, Bozanic N: SPIKY: A graphical user interface for monitoring spike train synchrony. JNeurophysiol 113, 3432 (2015) .
 Bozanic N, Mulansky M, Kreuz T: SPIKY. Scholarpedia 9(12), 32344 (2014).
 Andrzejak RG, Mormann F, Kreuz T: Detecting determinism from point processes. Physical Review E 90, 062906 (2014) .
 Kreuz T: SPIKE-distance. Scholarpedia 7(12):30652 (2012).
 Houghton C, Kreuz T: On the efficient calculation of van Rossum distances. Network: Computation in neural systems 23, 48 (2012) .
 Kreuz T: Measures of neuronal signal synchrony. Scholarpedia 6(12), 11922 (2011).
 Kreuz T: Measures of spike train synchrony. Scholarpedia 6(10), 11934 (2011).
 Andrzejak RG, Kreuz T: Characterizing unidirectional couplings between point processes and flows. European Physics Letters 96, 50012 (2011) .
 Chicharro D, Kreuz T, Andrzejak RG: What can spike train distances tell us about the neural code? J Neurosci Methods 199, 146 (2011) .
 Kreuz T, Chicharro D, Greschner M, Andrzejak RG: Time-resolved and time-scale adaptive measures of spike train synchrony. J Neurosci Methods 195, 92 (2011) .
 Haas JS*, Kreuz T*, Torcini A, Politi A, Abarbanel HDI: Rate maintenance and resonance in the entorhinal cortex. Eur J Neurosci 32, 1930 (2010) .
 Kreuz T, Chicharro D, Andrzejak RG, Haas JS, Abarbanel HDI: Measuring multiple spike train synchrony. J Neurosci Methods 183, 287 (2009) .
 Kreuz T, Haas JS, Morelli A, Abarbanel HDI, Politi A: Measuring spike train synchrony. J Neurosci Methods 165, 151 (2007) .
 Kreuz T, Luccioli S, Torcini A: Coherence Resonance due to correlated noise in neuronal models. Neurocomputing 70, 1970 (2007) .
 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) .
 Kreuz T, Luccioli S, Torcini A: Double coherence resonance in neuron models driven by discrete correlated noise. Phys. Rev. Lett. 97, 238101 (2006) .
 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) .
 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).
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 .