1 citations · 1 across the 4 of their papers we have counts for
5 papers
On the Integrate-and-Fire model with superlinear drift
Benoît Perthame, Clément Rieutord, Delphine Salort
The Nonlinear Integrate-and-Fire equation is a fundamental model for neural assemblies, describing the dynamics of the density of neurons with a given potential. Its standard formu…
Asymptotic dynamics of inhibitory networks for the NNLIF Model in the large-delay limit
Clément Rieutord, Delphine Salort
We investigate the impact of large synaptic delays on the emergence of periodic dynamics in inhibitory neuronal networks, within the framework of the NNLIF model. Inspired by the w…
A Fokker-Planck equation with superlinear drift at infinity for Integrate-and-Fire model
Benoît Perthame, Clément Rieutord, Delphine Salort
The Integrate-and-Fire model is a Fokker-Planck equation arising in neuroscience. It describes the evolution of the probability density of the neuronal membrane potential and fitti…
Strongly nonlinear age structured equation,time-elapsed model and large delays
Benoît Perthame, Delphine Salort, Clément Rieutord
The time-elapsed model for neural networks is a nonlinear age structured equationwhere the renewal term describes the network activity and influences the dischargerate, possibly wi…
New portions of and a lower bound on the Hausdorff distance between and
Clément Rieutord, Carlos Gustavo Moreira, Harold Erazo
Let and be the Markov and Lagrange spectra, respectively. It is known that is contained in and Freiman showed in 1968 that . In 2018 the…