Kinetic description and numerical study of a network of resonate and fire neurons

par M. Nicolas Zadeh (Université Libre de Bruxelles)

jeudi 14 nov. 2024, 10:00 → 11:00 Europe/Paris

Grenoble

An important feature of some neurons is their ability to display resonant-like properties. The resonate and fire (RF) model (Izhikevich, 2001) allows for a simple description of such neurons, for a meager computational cost. We will first present a mean-field description of a network of interconnected RF neurons, following the kinetic formalism.

Then a numerical approximation finite differences scheme designed to tackle the equation will be seen, having mass and positivity preservation properties. Some simulations giving validity to the mean-field approach conclude the talk.