Characterization of K-Complexes and Slow Wave Activity in a Neural Mass Model

Arne Weigenand, Michael Schellenberger Costa*, Hong Viet Victor Ngo, Jens Christian Claussen, Thomas Martinetz

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

NREM sleep is characterized by two hallmarks, namely K-complexes (KCs) during sleep stage N2 and cortical slow oscillations (SOs) during sleep stage N3. While the underlying dynamics on the neuronal level is well known and can be easily measured, the resulting behavior on the macroscopic population level remains unclear. On the basis of an extended neural mass model of the cortex, we suggest a new interpretation of the mechanisms responsible for the generation of KCs and SOs. As the cortex transitions from wake to deep sleep, in our model it approaches an oscillatory regime via a Hopf bifurcation. Importantly, there is a canard phenomenon arising from a homoclinic bifurcation, whose orbit determines the shape of large amplitude SOs. A KC corresponds to a single excursion along the homoclinic orbit, while SOs are noise-driven oscillations around a stable focus. The model generates both time series and spectra that strikingly resemble real electroencephalogram data and points out possible differences between the different stages of natural sleep.

Original languageEnglish
JournalPLoS computational biology
Volume10
Issue number11
DOIs
Publication statusPublished - 1 Nov 2014

Fingerprint

sleep
Sleep Stages
Sleep
oscillation
Orbit
Oscillation
orbits
Cortex
bifurcation
cortex
Orbits
Noise
Electroencephalography
Canard
Homoclinic Bifurcation
electroencephalography
Model
Hopf bifurcation
Excursion
Homoclinic Orbit

Bibliographical note

© 2014 Weigenand et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits
unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Cite this

Weigenand, A., Schellenberger Costa, M., Ngo, H. V. V., Claussen, J. C., & Martinetz, T. (2014). Characterization of K-Complexes and Slow Wave Activity in a Neural Mass Model. PLoS computational biology, 10(11). https://doi.org/10.1371/journal.pcbi.1003923
Weigenand, Arne ; Schellenberger Costa, Michael ; Ngo, Hong Viet Victor ; Claussen, Jens Christian ; Martinetz, Thomas. / Characterization of K-Complexes and Slow Wave Activity in a Neural Mass Model. In: PLoS computational biology. 2014 ; Vol. 10, No. 11.
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Weigenand, A, Schellenberger Costa, M, Ngo, HVV, Claussen, JC & Martinetz, T 2014, 'Characterization of K-Complexes and Slow Wave Activity in a Neural Mass Model', PLoS computational biology, vol. 10, no. 11. https://doi.org/10.1371/journal.pcbi.1003923

Characterization of K-Complexes and Slow Wave Activity in a Neural Mass Model. / Weigenand, Arne; Schellenberger Costa, Michael; Ngo, Hong Viet Victor; Claussen, Jens Christian; Martinetz, Thomas.

In: PLoS computational biology, Vol. 10, No. 11, 01.11.2014.

Research output: Contribution to journalArticle

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Weigenand A, Schellenberger Costa M, Ngo HVV, Claussen JC, Martinetz T. Characterization of K-Complexes and Slow Wave Activity in a Neural Mass Model. PLoS computational biology. 2014 Nov 1;10(11). https://doi.org/10.1371/journal.pcbi.1003923