12 citations · 20 across the 3 of their papers we have counts for
4 papers · 1 filter
Weak and strong connectivity regimes for a general time elapsed neuron network model
Stéphane Mischler, Cristobal Quiñinao, Qilong Weng
For large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models. Under general assumptions on the…
On a linear runs and tumbles equation
S Mischler, Q Weng
We consider a linear runs and tumbles equation in dimension d 1 for which we establish the existence of a unique positive and normalized steady state as well as its asymptoti…
General time elapsed neuron network model: well-posedness and strong connectivity regime
Q Weng
For large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models, indicating how the time elapsed s…
Relaxation in time elapsed neuron network models in the weak connectivity regime
S Mischler, Q Weng
In order to describe the firing activity of a homogenous assembly of neurons, we consider time elapsed models, which give mathematical descriptions of the probability density of ne…