Appears in collection : 2022 - T1 - WS2 - Mathematical modeling and statistical analysis in neuroscience

In this talk, we are concerned with a kinetic model for neuron networks, where individual neurons are characterized by their voltage and conductance. The dynamics of the voltage is influenced by the conductance and when the voltage is reaching a threshold, it is immediately reset to a lower value. By exploring a series of simplified models, we aim to identify the cause of the emergence of time-periodic solutions in such Fokker-Planck equations.