Efficient and accurate large-scale networks are a fundamental tool in modeling brain areas,
to advance our understanding of neuronal dynamics. However, their implementation faces …

In this work, we introduce a novel reduced order model technique, based on the Proper
Orthogonal Decomposition method, for dynamical systems with multiple timescales. The …

Dendritic spines are small membranous protrusions that receive synaptic inputs from other
neurons, enabling the initiation of dendritic N-methyl-D-aspartic (NMDA) spikes and somatic …

We introduce economical versions of standard implicit ODE solvers that are specifically
tailored for the efficient and accurate simulation of neural networks. The specific versions of …

In this paper, our research focuses on investigating the behavior of the FitzHugh-Nagumo
(FHN) equation dynamics, a mathematical model that describes the spiking behavior of …