2 papers
physics.bio-ph2025
Mean-field analysis of a neural network with stochastic STDP
Pascal Helson, Etienne Tanré, Romain Veltz
Analysing biological spiking neural network models with synaptic plasticity has proven to be challenging both theoretically and numerically. In a network with N all-to-all connecte…
math.PR2025
Analysis of a mean-field limit of interacting two-dimensional nonlinear integrate-and-fire neurons
Romain Veltz
We study the solutions of a McKean-Vlasov stochastic differential equation (SDE) driven by a Poisson process. In neuroscience, this SDE models the mean field limit of a system of $…