ArticleJournal of mathematical neuroscience2015
Modeling focal epileptic activity in the Wilson-cowan model with depolarization block.
Article in Journal of mathematical neuroscience, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- Modelling dysfunction-specific interventions for seizure termination in epilepsy.NPJ systems biology and applications · 2025Article
- Molecular and neuropathological determinants of neuronal dysfunction in Alzheimer's disease.bioRxiv : the preprint server for biology · 2025Article
- Personalized whole-brain neural mass models reveal combined Aβ and tau hyperexcitable influences in Alzheimer's disease.Communications biology · 2024Article
- In-vivo neuronal dysfunction by Aβ and tau overlaps with brain-wide inflammatory mechanisms in Alzheimer's disease.Frontiers in aging neuroscience · 2024Article
- Spatial organisation of the mesoscale connectome: A feature influencing synchrony and metastability of network dynamics.PLoS computational biology · 2023Article
- Revealing the combined roles of Aβ and tau in Alzheimer's disease via a pathophysiological activity decoder.bioRxiv : the preprint server for biology · 2023Article
- Development of Mechanistic Neural Mass (mNM) Models that Link Physiology to Mean-Field Dynamics.Frontiers in network physiology · 2022Article
- Predictive coding models for pain perception.Journal of computational neuroscience · 2021Article
- A taxonomy of seizure dynamotypes.eLife · 2020Article
- Article
- A mean-field approach to the dynamics of networks of complex neurons, from nonlinear Integrate-and-Fire to Hodgkin-Huxley models.Journal of neurophysiology · 2020Article
- Role of paroxysmal depolarization in focal seizure activity.Journal of neurophysiology · 2019Review
- Multiscale recordings reveal the dynamic spatial structure of human seizures.Neurobiology of disease · 2019Review
- Minimal model of interictal and ictal discharges "Epileptor-2".PLoS computational biology · 2018Article
- Cross-scale effects of neural interactions during human neocortical seizure activity.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- The influence of depolarization block on seizure-like activity in networks of excitatory and inhibitory neurons.Journal of computational neuroscience · 2017Article
- Human seizures couple across spatial scales through travelling wave dynamics.Nature communications · 2017Article
- Stochastic Network Models in Neuroscience: A Festschrift for Jack Cowan. Introduction to the Special Issue.Journal of mathematical neuroscience · 2016Article
- Dynamic transition of neuronal firing induced by abnormal astrocytic glutamate oscillation.Scientific reports · 2016Article
- Slow Spatial Recruitment of Neocortex during Secondarily Generalized Seizures and Its Relation to Surgical Outcome.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2015Article
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13 authors.
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Abstract
unlabelledMeasurements of neuronal signals during human seizure activity and evoked epileptic activity in experimental models suggest that, in these pathological states, the individual nerve cells experience an activity driven depolarization block, i.e. they saturate. We examined the effect of such a saturation in the Wilson-Cowan formalism by adapting the nonlinear activation function; we substituted the commonly applied sigmoid for a Gaussian function. We discuss experimental recordings during a seizure that support this substitution. Next we perform a bifurcation analysis on the Wilson-Cowan model with a Gaussian activation function. The main effect is an additional stable equilibrium with high excitatory and low inhibitory activity. Analysis of coupled local networks then shows that such high activity can stay localized or spread. Specifically, in a spatial continuum we show a wavefront with inhibition leading followed by excitatory activity. We relate our model simulations to observations of spreading activity during seizures. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1186/s13408-015-0019-4) contains supplementary material 1.
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