3 citations · 3 across the 1 of their papers we have counts for
3 papers
q-bio.NC2020
An understanding of the physical solutions and the blow-up phenomenon for Nonlinear Noisy Leaky Integrate and Fire neuronal models
María J. Cáceres, Alejandro Ramos-Lora
The Nonlinear Noisy Leaky Integrate and Fire neuronal models are mathematical models that describe the activity of neural networks. These models have been studied at a microscopic…
math.AP2018
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…