2 citations · 4 across the 6 of their papers we have counts for
8 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…
Single-axis high-energy X-ray diffraction tomography for elastic residual strain: uniqueness and stability of solutions in the presence of equilibrium constraints
Christopher Wensrich, Sean Holman, Matias Courdurier +1
It is well-established that single-axis Transverse Ray Transform tomography data from high-energy X-ray diffraction is insufficient for general reconstruction of three-dimensional…
Uniqueness of solutions in high-energy x-ray based `eigenstrain tomography' and other inverse eigenstrain problems: Counter examples and necessary conditions for well-posedness
Christopher Wensrich, Sean Holman, William Lionheart +2
Eigenstrain tomography combines diffraction-based strain measurement with elasticity theory to reconstruct full three-dimensional residual stress fields within solids. Notwithstand…
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…
General reconstruction of elastic strain fields from their Longitudinal Ray Transform
Chris Wensrich, Sean Holman, William Lionheart +4
We develop an algorithm for reconstruction of elastic strain fields from their Longitudinal Ray Transform (LRT) in either two or three dimensions. In general, the LRT only determin…
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…
Direct inversion of the Longitudinal Ray Transform for 2D residual elastic strain fields
C. M. Wensrich, S. Holman, M. Courdurier +3
We examine the problem of Bragg-edge elastic strain tomography from energy resolved neutron transmission imaging. A new approach is developed for two-dimensional plane-stress and p…
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…