2 papers
math.NA2025
Dynamically consistent finite volume scheme for a bimonomeric simplified model with inflammation processes for Alzheimer's disease
Juan Barajas-Calonge, Mauricio A. Sepulveda Cortes, Nicolas Torres +1
A model of progression of Alzheimer's disease (AD) incorporating the interactions of A-monomers, oligomers, microglial cells and interleukins with neurons is considered. The res…
math.AP2023
Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks
Mauricio Sepulveda, Nicolas Torres, Luis Miguel Villada
The elapsed time equation is an age-structured model that describes the dynamics of interconnected spiking neurons through the elapsed time since the last discharge, leading to man…