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  - 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  - 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  - Ngamga, Eulalie Joelle
A1  - Bialonski, Stephan
A1  - Marwan, Norbert
A1  - Kurths, Jürgen
A1  - Geier, Christian
A1  - Lehnertz, Klaus
T1  - Evaluation of selected recurrence measures in discriminating pre-ictal and inter-ictal periods from epileptic EEG data
JF  - Physics Letters A
N2  - We investigate the suitability of selected measures of complexity based on recurrence quantification analysis and recurrence networks for an identification of pre-seizure states in multi-day, multi-channel, invasive electroencephalographic recordings from five epilepsy patients. We employ several statistical techniques to avoid spurious findings due to various influencing factors and due to multiple comparisons and observe precursory structures in three patients. Our findings indicate a high congruence among measures in identifying seizure precursors and emphasize the current notion of seizure generation in large-scale epileptic networks. A final judgment of the suitability for field studies, however, requires evaluation on a larger database.
Y1  - 2016
U6  - http://dx.doi.org/10.1016/j.physleta.2016.02.024
SN  - 0375-9601
VL  - 380
IS  - 16
SP  - 1419
EP  - 1425
PB  - Elsevier
CY  - Amsterdam
ER  -