17 citations · 20 across the 10 of their papers we have counts for
4 papers · 1 filter
On large networks of integrate-and-fire neurons with short-term synaptic plasticity
Quentin Cormier, Eva Löcherbach, Valentin Schmutz
This work studies the mean-field limit of large networks of interacting stochastic leaky integrate-and-fire (LIF) neurons subject to short-term synaptic depression (STD). The macro…
Dense networks of integrate-and-fire neurons: Spatially-extended mean-field limit of the empirical measure
Pierre-Emmanuel Jabin, Valentin Schmutz, Datong Zhou
The dynamics of spatially-structured networks of interacting stochastic neurons can be described by deterministic population equations in the mean-field limit. While this is kn…
On a finite-size neuronal population equation
Valentin Schmutz, Eva Löcherbach, Tilo Schwalger
Population equations for infinitely large networks of spiking neurons have a long tradition in theoretical neuroscience. In this work, we analyze a recent generalization of these e…
Mean-field limit of Age and Leaky Memory dependent Hawkes processes
Valentin Schmutz
We propose a mean-field model of interacting point processes where each process has a memory of the time elapsed since its last event (age) and its recent past (leaky memory), gene…