2 papers
math.AP2025
Approximation and stability results for the parabolic FitzHugh-Nagumo system with combined rapidly oscillating sources
Eduardo Cerpa, MatÃas Courdurier, Esteban Hernández +2
The use of high-frequency currents in neurostimulation has received increased attention in recent years due to its varied effects on tissues and cells. Nonlinear differential equat…
q-bio.NC2025
Analysis of Neural Activation in Time-dependent Membrane Capacitance Models
MatÃas Courdurier, Leonel E. Medina, Esteban Paduro
Most models of neurons incorporate a capacitor to account for the marked capacitive behavior exhibited by the cell membrane. However, such capacitance is widely considered constant…