Idealized multiple-timescale model of cortical spreading depolarization initiation and pre-epileptic hyperexcitability caused by \(\mathrm{Na_V}1.1/ SCN1A\) mutations

DOI10.1007/s00285-023-01917-5zbMath1511.92016MaRDI QIDQ6040846

Martin Krupa, Louisiane Lemaire, Mathieu Desroches, Massimo Mantegazza

Publication date: 22 May 2023

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

excitabilityepilepsysodium channelslow-fastdynamic bifurcationsmigraine

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Pathology, pathophysiology (92C32)

Cites Work

• Unnamed Item
• Unnamed Item
• Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons
• Bifurcations of mixed-mode oscillations in a three-variable autonomous Van der Pol-Duffing model with a cross-shaped phase diagram
• Transient responses of a modeled bursting neuron: Analysis with equilibrium and averaged nullclines
• Full system bifurcation analysis of endocrine bursting models
• Extracellular potassium dynamics in the hyperexcitable state of the neuronal ictal activity
• Spike-adding in parabolic bursters: the role of folded-saddle canards
• Mixed-Mode Oscillations with Multiple Time Scales
• BIFURCATIONS IN TWO-DIMENSIONAL HINDMARSH–ROSE TYPE MODEL
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards

This page was built for publication: Idealized multiple-timescale model of cortical spreading depolarization initiation and pre-epileptic hyperexcitability caused by \(\mathrm{Na_V}1.1/ SCN1A\) mutations