2 citations · 4 across the 3 of their papers we have counts for
4 papers
Propagation failure in heterogeneous FitzHugh--Nagumo systems via coupled upper and lower solutions
Matías Courdurier, Esteban Paduro
Traveling waves are fundamental objects in reaction--diffusion systems; however, spatial heterogeneities can distort or inhibit their propagation. Determining whether a given heter…
Analysis of Neural Activation in Time-dependent Membrane Capacitance Models
Matías 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…
The impact of high frequency-based stability on the onset of action potentials in neuron models
Eduardo Cerpa, Nathaly Corrales, Matías Courdurier +2
This paper studies the phenomenon of conduction block in model neurons using high-frequency biphasic stimulation (HFBS). The focus is investigating the triggering of undesired onse…
Approximation and stability results for the parabolic FitzHugh-Nagumo system with combined rapidly oscillating sources
Eduardo Cerpa, Matías 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…