@article{AllefeldBialonski2007,
  author    = {Allefeld, Carsten and Bialonski, Stephan},
  title     = {Detecting synchronization clusters in multivariate time series via coarse-graining of Markov chains},
  series = {Physical Review E},
  volume    = {76},
  journal   = {Physical Review E},
  number    = {6},
  issn      = {2470-0053},
  doi       = {10.1103/PhysRevE.76.066207},
  pages     = {066207},
  year      = {2007},
  language  = {en}
}
@article{BialonskiSchindlerElgeretal.2008,
  author    = {Bialonski, Stephan and Schindler, K. and Elger, C. E. and Lehnertz, Klaus},
  title     = {Lateralized characteristics of the evolution of EEG correlation during focal onset seizures: a mechanism to prevent secondary generalization?},
  series = {Epilepsia},
  volume    = {49},
  journal   = {Epilepsia},
  issn      = {0013-9580},
  pages     = {11 -- 11},
  year      = {2008},
  abstract  = {Rationale: Previous studies [Topolnik et al., Cereb Cortex 2003; 13: 883; Schindler et al., Brain 2007; 130: 65] indicate that the termination of focal onset seizures may be causally related to an increase of global neuronal correlation during the second half of the seizures. This increase was observed to occur earlier in complex partial seizures than in secondarily generalized seizures. We here address the question whether such an increase of neuronal correlation prior to seizure end is indeed a global phenomenon, involving both hemispheres or whether there are side-specific differences. Methods: We analyzed 20 focal onset seizures (10 complex partial, 10 secondarily generalized seizures) recorded in 13 patients who underwent presurgical evaluation of focal epilepsies of different origin. EEG was recorded intracranially from bilaterally implanted subdural strip and intrahippocampal depth electrodes. Utilizing a moving window approach, we investigated the evolution of the maximum cross correlation for all channel combinations during seizures. For each moving window the mean value of the maximum cross correlation (MCC) between all electrode contacts was computed separately for each hemisphere. After normalization of seizure durations, MCC values of the ipsi- and contralateral hemisphere for all seizures were determined. Results: We observed that the MCC of the contralateral hemisphere in complex partial seizures increased during the first half of the seizure, whereas, for the same time interval, the MCC of the ipsilateral hemisphere even declined below the level of the pre-seizure period. In contrast, no significant differences between both hemispheres could be observed for secondarily generalized seizures where both hemispheres showed a simultaneous increase of MCC during the second half of the seizures. The level of MCC for the contralateral hemisphere was higher for complex partial seizures than for secondarily generalized seizures during the first half of the seizure. Conclusions: Our findings indicate that there are indeed lateralized differences in the evolution of global neuronal correlation during complex partial and secondarily generalized seizures. The observed contralateral increase of neuronal correlation during complex partial seizures might indicate an emerging self-organizing mechanism for preventing the spread of seizure activity.},
  language  = {en}
}
@article{BialonskiAllefeldWellmeretal.2008,
  author    = {Bialonski, Stephan and Allefeld, C. and Wellmer, J. and Elger, C. and Lehnertz, K.},
  title     = {An approach to identify synchronization clusters within the epileptic network},
  series = {Klinische Neurophysiologie},
  volume    = {39},
  journal   = {Klinische Neurophysiologie},
  number    = {1},
  doi       = {10.1055/s-2008-1072881},
  pages     = {A79},
  year      = {2008},
  language  = {en}
}
@article{SchindlerBialonskiHorstmannetal.2008,
  author    = {Schindler, Kaspar A. and Bialonski, Stephan and Horstmann, Marie-Therese and Elger, Christian E. and Lehnertz, Klaus},
  title     = {Evolving functional network properties and synchronizability during human epileptic seizures},
  series = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  volume    = {18},
  journal   = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  number    = {3},
  issn      = {1089-7682},
  doi       = {10.1063/1.2966112},
  pages     = {033119},
  year      = {2008},
  language  = {en}
}
@article{LehnertzBialonskiHorstmannetal.2009,
  author    = {Lehnertz, Klaus and Bialonski, Stephan and Horstmann, Marie-Therese and Krug, Dieter and Rothkegel, Alexander and Staniek, Matth{\"a}us and Wagner, Tobias},
  title     = {Synchronization phenomena in human epileptic brain networks},
  series = {Journal of neuroscience methods},
  volume    = {183},
  journal   = {Journal of neuroscience methods},
  number    = {1},
  issn      = {0165-0270},
  doi       = {10.1016/j.jneumeth.2009.05.015},
  pages     = {42 -- 48},
  year      = {2009},
  language  = {en}
}
@article{HorstmannBialonskiNoenningetal.2010,
  author    = {Horstmann, Marie-Therese and Bialonski, Stephan and Noenning, Nina and Mai, Heinke and Prusseit, Jens and Wellmer, J{\"o}rg and Hinrichs, Hermann and Lehnertz, Klaus},
  title     = {State dependent properties of epileptic brain networks: Comparative graph-theoretical analyses of simultaneously recorded EEG and MEG},
  series = {Clinical Neurophysiology},
  volume    = {121},
  journal   = {Clinical Neurophysiology},
  number    = {2},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1388-2457},
  doi       = {10.1016/j.clinph.2009.10.013},
  pages     = {172 -- 185},
  year      = {2010},
  abstract  = {Objective To investigate whether functional brain networks of epilepsy patients treated with antiepileptic medication differ from networks of healthy controls even during the seizure-free interval. Methods We applied different rules to construct binary and weighted networks from EEG and MEG data recorded under a resting-state eyes-open and eyes-closed condition from 21 epilepsy patients and 23 healthy controls. The average shortest path length and the clustering coefficient served as global statistical network characteristics. Results Independent on the behavioral condition, epileptic brains exhibited a more regular functional network structure. Similarly, the eyes-closed condition was characterized by a more regular functional network structure in both groups. The amount of network reorganization due to behavioral state changes was similar in both groups. Consistent findings could be achieved for networks derived from EEG but hardly from MEG recordings, and network construction rules had a rather strong impact on our findings. Conclusions Despite the locality of the investigated processes epileptic brain networks differ in their global characteristics from non-epileptic brain networks. Further methodological developments are necessary to improve the characterization of disturbed and normal functional networks. Significance An increased regularity and a diminished modulation capability appear characteristic of epileptic brain networks.},
  language  = {en}
}
@article{BialonskiHorstmannLehnertz2010,
  author    = {Bialonski, Stephan and Horstmann, Marie-Therese and Lehnertz, Klaus},
  title     = {From brain to earth and climate systems: Small-world interaction networks or not?},
  series = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  volume    = {20},
  journal   = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  number    = {1},
  publisher = {AIP Publishing},
  address   = {Melville, NY},
  issn      = {1089-7682},
  doi       = {10.1063/1.3360561},
  pages     = {013134},
  year      = {2010},
  abstract  = {We consider recent reports on small-world topologies of interaction networks derived from the dynamics of spatially extended systems that are investigated in diverse scientific fields such as neurosciences, geophysics, or meteorology. With numerical simulations that mimic typical experimental situations, we have identified an important constraint when characterizing such networks: indications of a small-world topology can be expected solely due to the spatial sampling of the system along with the commonly used time series analysis based approaches to network characterization.},
  language  = {en}
}
@article{BialonskiWendlerLehnertz2011,
  author    = {Bialonski, Stephan and Wendler, Martin and Lehnertz, Klaus},
  title     = {Unraveling spurious properties of interaction networks with tailored random networks},
  series = {Plos one},
  volume    = {6},
  journal   = {Plos one},
  number    = {8},
  publisher = {Plos},
  address   = {San Francisco},
  doi       = {10.1371/journal.pone.0022826},
  pages     = {e22826},
  year      = {2011},
  abstract  = {We investigate interaction networks that we derive from multivariate time series with methods frequently employed in diverse scientific fields such as biology, quantitative finance, physics, earth and climate sciences, and the neurosciences. Mimicking experimental situations, we generate time series with finite length and varying frequency content but from independent stochastic processes. Using the correlation coefficient and the maximum cross-correlation, we estimate interdependencies between these time series. With clustering coefficient and average shortest path length, we observe unweighted interaction networks, derived via thresholding the values of interdependence, to possess non-trivial topologies as compared to Erd{\"o}s-R{\´e}nyi networks, which would indicate small-world characteristics. These topologies reflect the mostly unavoidable finiteness of the data, which limits the reliability of typically used estimators of signal interdependence. We propose random networks that are tailored to the way interaction networks are derived from empirical data. Through an exemplary investigation of multichannel electroencephalographic recordings of epileptic seizures - known for their complex spatial and temporal dynamics - we show that such random networks help to distinguish network properties of interdependence structures related to seizure dynamics from those spuriously induced by the applied methods of analysis.},
  language  = {en}
}
@article{KeutmannStaatLaack2018,
  author    = {Keutmann, Sabine and Staat, Manfred and Laack, Walter van},
  title     = {Untersuchung der thermischen Auswirkung von therapeutischem Ultraschall},
  volume    = {7},
  number    = {10},
  publisher = {Deutscher {\"A}rzte-Verl.},
  address   = {K{\"o}ln},
  issn      = {2193-5793},
  pages     = {518 -- 522},
  year      = {2018},
  abstract  = {Zusammenfassung: In der Orthop{\"a}die z{\"a}hlt der therapeutische Ultraschall als Mittel zur Pr{\"a}vention und Therapiebegleitung. Er hat mechanische, thermische und physiko-chemische Auswirkungen auf den menschlichen K{\"o}rper. Um mehr Erkenntnisse {\"u}ber die thermischen Auswirkungen zu erlangen, wurden Versuche an einem Hydrogel-Phantom und an Probanden durchgef{\"u}hrt. Dabei entstand eine signifikante Erw{\"a}rmung des Gewebes, welche beim Probandenversuch an der Oberfl{\"a}che und beim Hydrogelversuch in der Tiefe gemessen wurde. Summary: In orthopaedics, therapeutic ultrasound is a tool of prevention and therapy support. It has mechanical, thermal and physico-chemical effects on the human body. Tests with a hydrogel phantom and with human probands have been performed in order to obtain more knowledge about their thermal effects. Both tests measured temperature increases in cell tissue, on the surface with the human proband test and in depth with the hydrogel phantom test.},
  language  = {de}
}
@article{BialonskiLehnertz2013,
  author    = {Bialonski, Stephan and Lehnertz, Klaus},
  title     = {Assortative mixing in functional brain networks during epileptic seizures},
  series = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  volume    = {23},
  journal   = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  number    = {3},
  doi       = {10.1063/1.4821915},
  pages     = {033139},
  year      = {2013},
  language  = {en}
}