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  - 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  -