Formal asymptotic expansions have long been used to study the singularly perturbed Allen-Cahn type equations and reaction-diffusion systems, including in particular the FitzHugh-Nagumo system. Despite their successful role, it has been largely unclear whether or not such expansions really represent the actual profile of solutions with rather general initial data. By combining our earlier result...

Complete List of Authors: Galli, Giulia; Kingston University, Department of Psychology Santarnecchi, Emiliano; Harvard University, Berenson-Allen Center for Non-Invasive Brain Stimulation Feurra, Matteo; National Research University Higher School of Economics, School of Psychology Bonifazi, Marco; Azienda Ospedaliera Universitaria Senese, Neurologia e Neurofisiologia Clinica Rossi, Simone; Azie...

A real aether model of the vacuum proposed by Allen Rothwarf(1) based upon a degenerate Fermion fluid, composed of polarizable particle-antiparticle pairs, leads to a big bang model of the universe where the velocity of light varies inversely with the square root of the cosmological time. Here this model is used to determine the time dependence of certain fundamental constants, i.e., permittivi...

We study the evolution of fronts in a bistable equation with time-delayed global feedback in the fast reaction and slow diffusion regime. This equation generalizes the Hodgkin-Grafstein and Allen-Cahn equations. We derive a nonlinear equation governing the motion of fronts, which includes a term with delay. In the one-dimensional case this equation is linear. We study the motion of one- and two...

In this paper, we give a classification of (finite or countable) א0categorical coloured linear orders, generalizing Rosenstein’s characterization of א0-categorical linear orderings. We show that they can all be built from coloured singletons by concatenation and Qn-combinations (for n ≥ 1). We give a method using coding trees to describe all structures in our list.

This study examines the ability of Deaf children with cochlear implants to perceive and produce the following speech features: Vowel Height, Vowel Place, Consonant Place of Articulation (anterior and back), Continuance and Consonant Voicing. Seven children between 3;4 and 4;10 with a minimum of 18 months of experience with their implants served as participants. Perception of the features was as...

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Although listening quality measurement is well standardized the MOS scale may be to fine and not so easy for interpretation of results, for example for mobile operators. Therefore we thought that in some cases mapping to acceptability scale with less points would be more useful and we tried to find how to map these two scales on each other. For our purposes we used three points scale. We had an...

This paper studies improving joint segmentation and registration by introducing auxiliary labels for anatomy that has similar appearance to the target anatomy while not being part of that target. Such auxiliary labels help avoid false positive labelling of non-target anatomy by resolving ambiguity. A known registration of a segmented atlas can help identify where a target segmentation should li...