TY  - JOUR
A1  - Bialonski, Stephan
A1  - Ansmann, Gerrit
A1  - Kantz, Holger
T1  - Data-driven prediction and prevention of extreme events in a spatially extended excitable system
JF  - Physical Review E
Y1  - 2015
U6  - http://dx.doi.org/10.1103/PhysRevE.92.042910
SN  - 2470-0053
VL  - 92
IS  - 4
SP  - 042910
ER  - 
TY  - JOUR
A1  - Mulhern, Colm
A1  - Bialonski, Stephan
A1  - Kantz, Holger
T1  - Extreme events due to localization of energy
JF  - Physical Review E
Y1  - 2015
U6  - http://dx.doi.org/10.1103/PhysRevE.91.012918
SN  - 2470-0053
VL  - 91
IS  - 1
SP  - 012918
ER  - 
TY  - JOUR
A1  - Geier, Christian
A1  - Lehnertz, Klaus
A1  - Bialonski, Stephan
T1  - Time-dependent degree-degree correlations in epileptic brain networks: from assortative to dissortative mixing
JF  - Frontiers in Human Neuroscience
Y1  - 2015
U6  - http://dx.doi.org/10.3389/fnhum.2015.00462
SN  - 1662-5161
PB  - Frontiers Research Foundation
CY  - Lausanne
ER  - 
TY  - JOUR
A1  - Geier, Christian
A1  - Bialonski, Stephan
A1  - Elger, Christian E.
A1  - Lehnertz, Klaus
T1  - How important is the seizure onset zone for seizure dynamics?
JF  - Seizure
Y1  - 2015
U6  - http://dx.doi.org/10.1016/j.seizure.2014.10.013
SN  - 1059-1311
VL  - 25
SP  - 160
EP  - 166
ER  - 
TY  - JOUR
A1  - Lehnertz, Klaus
A1  - Ansmann, Gerrit
A1  - Bialonski, Stephan
A1  - Dickten, Henning
A1  - Geier, Christian
A1  - Porz, Stephan
T1  - Evolving networks in the human epileptic brain
JF  - Physica D: Nonlinear Phenomena
N2  - Network theory provides novel concepts that promise an improved characterization of interacting dynamical systems. Within this framework, evolving networks can be considered as being composed of nodes, representing systems, and of time-varying edges, representing interactions between these systems. This approach is highly attractive to further our understanding of the physiological and pathophysiological dynamics in human brain networks. Indeed, there is growing evidence that the epileptic process can be regarded as a large-scale network phenomenon. We here review methodologies for inferring networks from empirical time series and for a characterization of these evolving networks. We summarize recent findings derived from studies that investigate human epileptic brain networks evolving on timescales ranging from few seconds to weeks. We point to possible pitfalls and open issues, and discuss future perspectives.
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.physd.2013.06.009
SN  - 0167-2789
VL  - 267
SP  - 7
EP  - 15
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - JOUR
A1  - Bialonski, Stephan
A1  - Lehnertz, Klaus
T1  - Assortative mixing in functional brain networks during epileptic seizures
JF  - Chaos: An Interdisciplinary Journal of Nonlinear Science
Y1  - 2013
U6  - http://dx.doi.org/10.1063/1.4821915
VL  - 23
IS  - 3
SP  - 033139
ER  - 
TY  - CHAP
A1  - Bialonski, Stephan
A1  - Lehnertz, Klaus
T1  - From time series to complex networks: an overview
T2  - Recent Advances in Predicting and Preventing Epileptic Seizures: Proceedings of the 5th International Workshop on Seizure Prediction
N2  - The network approach towards the analysis of the dynamics of complex systems has been successfully applied in a multitude of studies in the neurosciences and has yielded fascinating insights. With this approach, a complex system is considered to be composed of different constituents which interact with each other. Interaction structures can be compactly represented in interaction networks. In this contribution, we present a brief overview about how interaction networks are derived from multivariate time series, about basic network characteristics, and about challenges associated with this analysis approach.
Y1  - 2013
SN  - 978-981-4525-36-7
U6  - http://dx.doi.org/10.1142/9789814525350_0010
SP  - 132
EP  - 147
ER  - 
TY  - BOOK
A1  - Bialonski, Stephan
T1  - Inferring complex networks from time series of dynamical systems: Pitfalls, misinterpretations, and possible solutions
Y1  - 2012
N1  - Bonn, Rheinische Friedrich-Wilhelms-Universität Bonn, Diss., 2012
PB  - Universitäts- und Landesbibliothek Bonn
CY  - Bonn
ER  - 
TY  - CHAP
A1  - Bialonski, Stephan
T1  - Are interaction clusters in epileptic networks predictive of seizures?
T2  - Epilepsy: The Intersection of Neurosciences, Biology, Mathematics, Engineering, and Physics
Y1  - 2016
SN  - 978-143983886-0
SP  - 349
EP  - 355
PB  - CRC Press
ER  - 
TY  - JOUR
A1  - Bialonski, Stephan
A1  - Wellmer, Jörg
A1  - Elger, Christian E.
A1  - Lehnertz, Klaus
T1  - Interictal focus localization in neocortical lesional epilepsies with synchronization cluster analysis
JF  - Epilepsia
Y1  - 2006
SN  - 0013-9580
VL  - 47
SP  - 36
ER  -