I. Vragović, ∗ E. Louis, C. Degli Esposti Boschi, and G. Ortega Departamento de Física Aplicada, Instituto Universitario de Materiales and Unidad Asociada CSIC-UA, Universidad de Alicante, E-03080 Alicante, Spain Unità di Ricerca INFM di Bologna, viale Berti-Pichat 6/2, 40127, Bologna, Italy Departamento de Física, F.C.E.N. Universidad de Buenos Aires and CONICET, Pabellón I, Ciudad Universitar...

This paper treats a free boundary problem in two-dimensional excitable media arising from a singular limiting problem of a FitzHugh–Nagumo-type reaction-diffusion system. The existence and uniqueness up to translations of two-dimensional traveling curved waves solutions is shown. To study the stability of the waves, the local and global existence and uniqueness of solutions to the free boundary...

We propose a new biological framework based on the Lynch et al. theory of Hybrid I/O Automata (HIOAs) for modeling and simulating excitable tissue. Within this framework, we view an excitable tissue as a composition of two main kinds of component: a diffusion medium and a collection of cells, both modeled as an HIOA. This approach yields a notion of decomposition that allows us to describe a ti...

Recovery rates from Middlebrook 7H11-selective 7H11 biplates and Lowenstein-Jensen slants (LJ) used with BACTEC 12B vials were compared for 5,399 specimens. For 578 specimens that were inoculated onto three media, 580 mycobacteria were isolated, including 277 (48%) Mycobacterium avium complex isolates, 230 (40%) Mycobacterium tuberculosis isolates, and 73 (12%) other mycobacteria. For BACTEC 12...

We consider an excitable medium moving with relative shear, subjected to a localised disturbance which, in a stationary medium, would produce a pair of spiral waves. The spiral waves so created are distorted and then broken by the motion of the medium. Such breaks generate new spiral waves, and so a \chain reaction" of spiral wave births and deaths is observed. This leads to a complicated spati...

We present limit theorems for a sequence of Piecewise Deterministic Markov Processes (PDMPs) taking values in a separable Hilbert space. This class of processes provides a rigorous framework for stochastic spatial models in which discrete random events are globally coupled with continuous space-dependent variables solving partial differential equations, e.g., stochastic hybrid models of excitab...

This paper proposes FlexToken, a new copy prevention scheme for digital rights such as tickets or coupons, which are circulated as pieces of paper in the real world. The important feature of this scheme is that digital rights are represented using two separate types of information: the contents and the token of the rights. The token represents the \genuineness" of the contents and distinguishes...

Geometry reasoning and proof form a major and challenging component in the K-121 mathematics curriculum. Although several computerized systems exist that help students learn and practice general geometry concepts, they do not target geometry proof problems, which are more advanced and difficult. Powerful geometry theorem provers also exist, however they typically employ advanced algebraic metho...

Synthesis by the hydrothermal method has various advantages, including low reaction temperature, three-dimensional substrate availability, and automatic polarization alignment during the process. In this review, powder synthesis, the fabrication of piezoelectric thin films, and their applications are introduced. A polycrystalline lead zirconate titanate (PZT) thin film was applied to a micro ul...

SOFTWARE: no other word so thoroughly connotes the practical and social effects of the digital revolution. Originally, the term was purely technical, and denoted the parts of a computer system that, unlike “hardware,” which was unchangeably manufactured in system electronics, could be altered freely. The first software amounted to the plug configuration of cables or switches on the outside pane...