Publications Featured
- Andrzejak RG, Espinoso A, García-Portugués E, Pewsey A, Epifanio J, Leguia MG and Schindler K (2023): High expectations on phase locking: Better quantifying the concentration of circular data. Chaos 33, 091106
- Source codes at Downloads tab
- Andrzejak RG and Espinoso A (2023): Chimera states in multiplex networks: Chameleon-like across-layer synchronization. Chaos 33, 053112
- Source codes at Downloads tab
- Andrzejak RG, Zaveri HP, Schulze‐Bonhage A, Leguia MG, Stace, WC, Richardson MP, Kuhlman L and Lehnertz, K (2023). Seizure forecasting: Where do we stand? Epilepsia. 64, S62-S71.
- Espinoso A and Andrzejak RG, (2022): Phase irregularity: A conceptually simple and efficient approach to characterize electroencephalographic recordings from epilepsy patients. Physical Review E. 105, 034212
- Andrzejak RG, (2021): Chimeras confined in fractal boundaries in the complex plane Chaos, 31, 053104
- Link to Supplementary Figures. Source codes at Downloads tab. Summary video at Research tab.
- Leguia MG, Andrzejak RG, Rummel C, Fan JM, Mirro EA, Tcheng TK, Rao VR & Baud, MO (2021). Seizure cycles in focal epilepsy. JAMA Neurology. 78, 454-463
- Ruzzene G, Omelchenko I, Sawicki J, Zakharova A, Schöll E, Andrzejak RG (2020). Remote pacemaker control of chimera states in multilayer networks of neurons. Physical Review E, 102(5), 052216.
- Martínez CGB, Niediek J, Mormann F & Andrzejak RG (2020) Seizure onset zone lateralization using a nonlinear analysis of micro versus macro electroencephalographic recordings during seizure-free stages of the sleep-wake cycle from epilepsy patients. Frontiers in Neurology 11, 1057
- Andrzejak RG, Ruzzene G, Schöll E, Omelchenko I (2020) Two populations of coupled quadratic maps exhibit a plentitude of symmetric and symmetry broken dynamics. Chaos, 30, 033125
- Supplementary Figures, source codes available at Downloads
- Schöll E, Zakharova A, Andrzejak RG (2019). Chimera States in Complex Networks. Frontiers in Applied Mathematics and Statistics, 5, 62.
- Ruzzene G, Omelchenko I, Schöll E, Zakharova A, Andrzejak RG (2019) Controlling chimera states via minimal coupling modification. Chaos. 29, 051103.
- Leguia MG, Martínez CGB, Malvestio I, Campo AT, Rocamora R, Levnajic Z, Andrzejak RG (2019) Inferring directed networks using a rank-based connectivity measure. Physical Review E. 99, 012319
- Source codes available at Downloads
- Andrzejak RG, Ruzzene G, Malvestio I, Schindler K, Schöll E, Zakharova A (2018) Mean field phase synchronization between chimera states. Chaos. 28, 091101
- Malvestio I, Kreuz T, Andrzejak RG (2017) Robustness and versatility of a nonlinear interdependence method for directional coupling detection from spike trains. Physical Review E. 96, 022203.
- Source codes available at Downloads
- Leguia MG, Andrzejak RG, Levnajić Z (2017) Evolutionary optimization of network reconstruction from derivative-variable correlations. Journal of Physics A: Mathematical and Theoretical. 50, 334001
- Andrzejak RG, Ruzzene G, Malvestio I (2017) Generalized synchronization between chimera states. Chaos. 27, 053114
- Source codes available at Downloads
- Laiou P, Andrzejak RG (2017) Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics. Physical Review E. 95, 012210
- Satuvuori E, Mulansky M, Bozanic N, Malvestio I, Zeldenrust F, Lenk K, Kreuz T. 2017. Measures of spike train synchrony for data with multiple time scales. Journal of Neuroscience Methods. 287:25-38
- Satuvuori, E, Malvestio, I, & Kreuz, T (2017). Measures of spike train synchrony and directionality. In Mathematical and Theoretical Neuroscience (pp. 201-222). Springer, Cham.
- Andrzejak RG, Rummel C, Mormann F, Schindler K (2016) All together now: Analogies between chimera state collapses and epileptic seizures. Scientific Reports. 6. 23000
- Mormann F, Andrzejak RG (2016) Seizure Prediction: Making mileage on the long and winding road (commentary). Brain. 139, 1625-1627
- Schindler K, Rummel C, Andrzejak RG, Goodfellow M, Zubler F, Abela E, Wiest R, Pollo C, Steimer A, Gast H (2016) Ictal time-irreversible intracranial EEG signals as markers of the epileptogenic zone. Clinical Neurophysiology. 127, 3051-3058
- Rummel C, Abela E, Andrzejak RG, Hauf M, Pollo C, Müller M, Weisstanner C, Wiest R, Schindler K (2015) Resected Brain Tissue, Seizure Onset Zone and Quantitative EEG Measures: Towards Prediction of Post-Surgical Seizure Control. PLOS ONE. 10 (10), e0141023
- Andrzejak RG, David O, Gnatkovsky V, Wendling F, Bartlomei F, Francione S, Kahane P, Schindler K, de Curtis M. (2015) Localization of epileptogenic zone on pre-surgical intracranial EEG recordings: toward a validation of quantitative signal analysis approaches. Brain Topography. 28, 823-837
- Andrzejak RG, Mormann F, Kreuz T (2014) Detecting determinism from point processes. Physical Review E. 90, 062906
- Source codes available at Downloads
- Naro D, Rummel C, Schindler K, Andrzejak RG (2014) Detecting determinism with improved sensitivity in time series: Rank-based nonlinear predictability score. Physical Review E. 90, 032913
- Source codes available at Downloads
- Rocamora R, Andrzejak RG, Jimenez-Conde J, Elger CE (2013) Sleep modulation of epileptic activity in mesial and neocortical temporal lobe epilepsy: a study with depth and subdural electrodes. Epilepsy & Behavior. 28, 185-190.
- Kreuz T, Chicharro D, Houghton C, Andrzejak RG, Mormann F (2013) Monitoring spike train synchrony. Journal of Neurophysiology. 109, 1457-1472
- Andrzejak RG, Schindler K, Rummel C (2012) Nonrandomness, nonlinear dependence, and nonstationarity of electroencephalographic recordings from epilepsy patients. Physical Review E. 86, 046206
- Data (Bern-Barcelona EEG database) and source codes available at Downloads
- Serrà J, Kantz H, Serra X, Andrzejak RG (2012) Predictability of Music Descriptor Time Series and its Application to Cover Song Detection. IEEE Transactions on Audio, Speech and Language Processing. 20, 514 - 525
- Faes L, Andrzejak RG, Ding M, and Kugiumtzis D (2012) Methodological Advances in Brain Connectivity. Computational and Mathematical Methods in Medicine. 2012, 492902
- Andrzejak RG, Kreuz T (2011) Characterizing unidirectional couplings between point processes and flows. Europhysics Letters. 96, 50012
- Chicharro D, Kreuz T, Andrzejak RG (2011) What can time scale parametric spike train distances tell us about the neural code? Journal of Neuroscience Methods. 199, 146-165
- Chicharro, D. (2011) On the spectral formulation of Granger causality. Biological cybernetics. 105, 331-347.
- Andrzejak RG, Chicharro D, Lehnertz K, Mormann F (2011) Using bivariate signal analysis to characterize the epileptic focus: The benefit of surrogates. Physical Review E. 83, 046203
- Kreuz T, Chicharro D, Greshner M, Andrzejak RG (2011) Time-resolved and time-scale adaptive measures of spike train synchrony. Journal of Neuroscience Methods. 195, 92-106
- Andrzejak RG (2011) Nonlinear time series analysis in a nutshell. In: Osorio et al. (eds.) Epilepsy: The Intersection of Neurosciences, Biology, Mathematics, Engineering and Physics. 125
- Andrzejak RG, Chicharro D, Elger CE, Mormann F (2009) Seizure prediction: Any better than chance? Clinical Neurophysiology. 120, 1465-1478
- Chicharro D, Andrzejak RG (2009) Reliable detection of directional couplings using rank statistics. Physical Review E. 80, 026217
- Source codes available at Downloads
- Serrà J, Serra X, Andrzejak RG (2009) Cross recurrence quantification for cover song identification. New Journal of Physics. 11, 093017
- Kreuz T, Chicharro D, Andrzejak RG, Haas JS, Abarbanel HDI (2009) Measuring multiple spike train synchrony. Journal of Neuroscience Methods. 183, 287-299
- Mormann F, Osterhage H, Andrzejak RG, Weber B, Fernandez G, Fell J, Elger CE, Lehnertz K (2008) Independent delta/theta rhythms in the human hippocampus and entorhinal cortex. Frontiers in Human Neuroscience. 2, 3
- Mormann F, Andrzejak RG, Elger CE, Lehnertz K. (2007) Seizure prediction: The long and winding road. Brain. 130, 314-333
- Kreuz T, Mormann F, Andrzejak RG, Kraskov A, Lehnertz K, Grassberger P. (2007) Measuring synchronization in coupled model systems: a comparison of different approaches. Physica D. 225, 29-42
- Andrzejak RG, Ledberg A, Deco G (2006) Detecting event-related time-dependent directional couplings. New Journal of Physics. 8, 6
- Source codes available at Downloads
- Andrzejak RG, Mormann F, Widman G, Kreuz T, Elger CE, Lehnertz K (2006) Improved characterization of the epileptic brain by focusing on nonlinearity. Epilepsy Research. 69, 30-44
- Müller A, Osterhage H, Sowa R, Andrzejak RG, Mormann F, Lehnertz, K (2006) A distributed computing system for multivariate time series analyses of multichannel neurophysiological data. Journal of Neuroscience Methods. 152, 190-201
- Smirnov DA, Andrzejak RG (2005) Detection of weak directional coupling: Phase-dynamics approach versus state-space approach. Physical Review E. 71, 036207
Publications of Andrzejak RG before he founded the Nonlinear Time Series Analysis Group.
- Mormann F, Kreuz T, Rieke C, Andrzejak RG, Kraskov A, Elger CE, Lehnertz K (2005) On the predictability of epileptic seizures. Clinical Neurophysiology. 116, 569–587
- Kraskov A, Stögbauer H, Andrzejak RG, Grassberger P (2005) Hierarchical clustering using mutual information. Europhysics Letters. 70, 278-284
- Kreuz T, Andrzejak RG, Mormann F, Kraskov A, Stögbauer H, Elger CE, Lehnertz, K, Grassberger P (2004) Measure profile surrogates: A method to validate the performance of epileptic seizure prediction algorithms. Physical Review E. 69, 061915
- Rieke C, Mormann F, Andrzejak RG, Lehnertz K (2004) Improved statistical test for nonstationarity using recurrence time statistics. Physical Review E. 69, 046111
- Andrzejak RG, Kraskov A, Stögbauer H, Mormann F, Kreuz T (2003) Bivariate surrogate techniques: Necessity, strengths and caveats. Physical Review E. 68, 066202
- Andrzejak RG, Mormann F, Kreuz T, Rieke C, Kraskov A, Elger CE, Lehnertz K (2003) Testing the null hypothesis of the non-existence of a pre-seizure state. Physical Review E. 67, 010901
- Mormann F, Kreuz T, Andrzejak RG, David P, Lehnertz K, Elger CE (2003) Epileptic seizures are preceded by a decrease in synchronization. Epilepsy Research. 53, 173-185
- Mormann F, Andrzejak RG, Kreuz T, Rieke C, David P, Elger CE, Lehnertz K (2003) Automated preictal state detection based on a decrease in synchronization in intracranial electroencephalography recordings from epilepsy patients. Physical Review E. 67, 021912
- Rieke C, Mormann F, Andrzejak RG, Kreuz T, David P, Elger CE, Lehnertz K (2003) Discerning nonstationarity from nonlinearity in seizure-free and pre-seizure EEG recordings from epilepsy patients. IEEE Transactions on Biomedical Engineering. 50, 643-639
- Lehnertz K, Mormann F, Kreuz T, Andrzejak RG, Rieke C, David P, Elger CE (2003) Seizure prediction by nonlinear EEG analysis. IEEE Engineering in Medicine and Biology, Magazine. 22, 57-63
- Rieke C, Sternickel K, Andrzejak RG, David P, Lehnertz K (2002) Measuring nonstationarity by analyzing the loss of recurrence in dynamical systems. Physical Review Letters. 88, 244102
- Andrzejak RG, Widman G, Lehnertz K, Rieke C, David P, Elger CE (2001) The epileptic process as nonlinear deterministic dynamics in a stochastic environment- An evaluation on mesial temporal lobe epilepsy. Epilepsy Research. 44, 129-140
- Andrzejak RG, Lehnertz K, Rieke C, Mormann F, David P, Elger CE (2001) Indications of nonlinear deterministic and finite dimensional structures in time series of brain electrical activity: Dependence on recording region and brain state. Physical Review E. 64, 061907
- Data (Bonn EEG time series download page) and source codes available at Downloads
- Lehnertz K, Andrzejak RG, Arnhold J, Kreuz T, Mormann F, Rieke C, Widman G, Elger CE (2001) Nonlinear EEG analysis in epilepsy: Its possible use for interictal focus localization, seizure anticipation, and prevention. Journal of Clinical Neurophysiology, 18, 209-222
- Elger CE, Widman G, Andrzejak R, Arnhold J, David P, Lehnertz K (2000) Nonlinear EEG analysis and its potential role in epileptology. Epilepsia. 41, Suppl.3, S34-S38
- Lehnertz K, Widman G, Andrzejak R, Arnhold J, Elger CE (1999) Is it possible to anticipate seizure onset by non-linear analysis of intracerebral EEG in human partial epilepsies? Revue Neurologique (Paris). 155 (6-7) 4547