Elif Köksal Ersöz (Université de Rennes, INSERM, LTSI)
Title: Multiple time-scale dynamics in neural mass models: canard solutions and critical regimes
Abstract: Epileptic seizures are very often hallmarked by pre-ictal phases which constitute a possible window of opportunity to trigger electrical stimulation with the objective to prevent seizure initiation. In this study, we consider a typical pre-ictal regime with complex bursting-type oscillations, which can be accurately reproduced by a neural mass model, which includes three interacting neuronal subpopulations with different synaptic kinetics. By analyzing the multiple time-scaled structure of the model, we identify the key role of the subpopulations of GABAergic interneurons. We unveil the existence of so-called “canard solutions” that can be encountered in specific non-linear dynamical systems. We detail how they organize the complex oscillations and excitability properties of the model. We show that boundaries between pathological epileptic discharges and physiological background activity are determined by the canard solutions.
References: Elif Köksal Ersöz and Fabrice Wendling. “Canard solutions in neural mass models: consequences on critical regimes.” The Journal of Mathematical Neuroscience 11.1 (2021): 1-27.
Elif Köksal Ersöz, Julien Modolo, Fabrice Bartolomei and Fabrice Wendling. “Neural mass modeling of slow-fast dynamics of seizure initiation and abortion.” PLoS Computational Biology 16.11 (2020): e1008430.
April 22nd 2022, 15:00, Zoom meeting
