ArticlePLoS computational biology2014
Characterization of K-complexes and slow wave activity in a neural mass model.
Article in PLoS computational biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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19 citing papers in PubMed.
- Closed-loop modulation of sleep in children undergoing intracranial recordings.Cell reports. Medicine · 2026Trial
- Heterogeneous synaptic homeostasis: A novel mechanism boosting information propagation in the cortex.PLoS computational biology · 2025Article
- A topological method of generating action potentials and electroencephalography oscillations in a surface network.Royal Society open science · 2025Article
- Neural mass modeling reveals that hyperexcitability underpins slow-wave sleep changes in children with epilepsy.Epilepsia · 2025Article
- Modeling of whole brain sleep electroencephalogram using deep oscillatory neural network.Frontiers in neuroinformatics · 2025Article
- Spike-spindle coupling during sleep and its mechanism explanation in childhood focal epilepsy.Cognitive neurodynamics · 2024Article
- Altered sleep spindles and slow waves during space shuttle missions.NPJ microgravity · 2021Article
- Article
- Canard solutions in neural mass models: consequences on critical regimes.Journal of mathematical neuroscience · 2021Article
- Reversed and increased functional connectivity in non-REM sleep suggests an altered rather than reduced state of consciousness relative to wake.Scientific reports · 2021Article
- Computational Evidence for a Competitive Thalamocortical Model of Spikes and Spindle Activity in Rolandic Epilepsy.Frontiers in computational neuroscience · 2021Article
- Neural mass modeling of slow-fast dynamics of seizure initiation and abortion.PLoS computational biology · 2020Article
- NREM sleep in the rodent neocortex and hippocampus reflects excitable dynamics.Nature communications · 2019Article
- Sleep Modelling across Physiological Levels.Clocks & sleep · 2019Review
- Effects of Cholinergic Neuromodulation on Thalamocortical Rhythms During NREM Sleep: A Model Study.Frontiers in computational neuroscience · 2019Article
- Classifying dynamic transitions in high dimensional neural mass models: A random forest approach.PLoS computational biology · 2018Article
- A Thalamocortical Neural Mass Model of the EEG during NREM Sleep and Its Response to Auditory Stimulation.PLoS computational biology · 2016Article
- Timing matters: open-loop stimulation does not improve overnight consolidation of word pairs in humans.The European journal of neuroscience · 2016Article
- Modeling the effect of sleep regulation on a neural mass model.Journal of computational neuroscience · 2016Article
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5 authors.
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No grant is acknowledged in the PubMed record.
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.
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