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DY: Fachverband Dynamik und Statistische Physik
DY 56: Poster - Statistical Physics
DY 56.21: Poster
Donnerstag, 19. März 2015, 16:00–18:00, Poster A
Wilson-Cowan oscillators as minimal bifurcation models of Non-REM sleep — •Annika Reinke1, Arne Weigenand1, and Jens Christian Claussen2,1 — 1Institut für Neuro- und Bioinformatik, Univ. Lübeck — 2Computational Systems Biology Lab, Jacobs Univ. Bremen
When sleep deepens to sleep stages N2 and N3, specific oscillations emerge, namely speep spindles in N2, and slow oscillations and K complexes in N3. While several models, after sufficient fit of parameters, can be made to reproduce experimental data, often several parameter sets or even slightly different models yield similar match with data. This calls for a simplification of the models. Here we adopt standard models of neural oscillators that are generic for a normal form of the same bifurcation phenomenology, and compare them to EEG time series. We conclude that a simple Wilson-Cowan oscillator can be adapted to exhibit the essential bifurcations when transiting to N2 and N3, including the canard phenomenon associated with the onset of the anharmonic sleep oscillations.