ArticleJournal of computational neuroscience2022
A unified physiological framework of transitions between seizures, sustained ictal activity and depolarization block at the single neuron level.
Article in Journal of computational neuroscience, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- From Computational Models to Clinical Decision-Making in Epilepsy: Bridging the Gap Between Theory and Practice.Brain topography · 2026Review
- Biophysically inspired mean-field model of neuronal populations driven by ion-exchange mechanisms.eLife · 2026Article
- Modular Model of Neuronal Activity That Captures the Dynamics of Main Molecular Targets of Antiepileptic Drugs.International journal of molecular sciences · 2026Article
- The accumulation of extracellular KScientific reports · 2025Article
- Article
- Epileptic seizure biophysics: the role of local voltage difference.Military Medical Research · 2025Article
- Miniaturized Iontronic Micropipettes for Precise and Dynamic Ionic Modulation of Neuronal and Astrocytic Activity.Small (Weinheim an der Bergstrasse, Germany) · 2025Article
- Modeling impairment of ionic regulation with extended Adaptive Exponential integrate-and-fire models.Journal of computational neuroscience · 2025Article
- Arbor-TVB: a novel multi-scale co-simulation framework with a case study on neural-level seizure generation and whole-brain propagation.Frontiers in computational neuroscience · 2025Article
- Article
- The Na+/K+-ATPase generically enables deterministic bursting in class I neurons by shearing the spike-onset bifurcation structure.PLoS computational biology · 2024Article
- The role of extracellular glutamate homeostasis dysregulated by astrocyte in epileptic discharges: a model evidence.Cognitive neurodynamics · 2024Article
- How neuronal morphology impacts the synchronisation state of neuronal networks.PLoS computational biology · 2024Article
- Bifurcations and bursting in the Epileptor.PLoS computational biology · 2024Article
- Examining the low-voltage fast seizure-onset and its response to optogenetic stimulation in a biophysical network model of the hippocampus.Cognitive neurodynamics · 2024Article
- An exploratory computational analysis in mice brain networks of widespread epileptic seizure onset locations along with potential strategies for effective intervention and propagation control.Frontiers in computational neuroscience · 2024Article
- Slow ion concentration oscillations and multiple states in neuron-glia interaction-insights gained from reduced mathematical models.Frontiers in network physiology · 2023Article
- Article
Corrections and comments
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The majority of seizures recorded in humans and experimental animal models can be described by a generic phenomenological mathematical model, the Epileptor. In this model, seizure-like events (SLEs) are driven by a slow variable and occur via saddle node (SN) and homoclinic bifurcations at seizure onset and offset, respectively. Here we investigated SLEs at the single cell level using a biophysically relevant neuron model including a slow/fast system of four equations. The two equations for the slow subsystem describe ion concentration variations and the two equations of the fast subsystem delineate the electrophysiological activities of the neuron. Using extracellular K
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