4 citations · 7 across the 2 of their papers we have counts for
3 papers
math.AP2018★ 4 cited
Global-in-time classical solutions and qualitative properties for the NNLIF neuron model with synaptic delay
María J. Cáceres, Pierre Roux, Delphine Salort +1
The Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model is widely used to describe the dynamics of neural networks after a diffusive approximation of the mean-field limit of a s…
math.AP2017★ 3 cited
Towards a realistic NNLIF model: Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods
María J. Cáceres, Ricarda Schneider
The Network of Noisy Leaky Integrate and Fire (NNLIF) model describes the behavior of a neural network at mesoscopic level. It is one of the simplest self-contained mean-field mode…
math.AP2016
Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models
María J. Cáceres, Ricarda Schneider
Excitatory and inhibitory nonlinear noisy leaky integrate and fire models are often used to describe neural networks. Recently, new mathematical results have provided a better unde…