Generalized Heisenberg algebras and k-generalized Fibonacci numbers

It is shown how some of the recent results of de Souza et al. [1] can be generalized to describe Hamiltonians whose eigenvalues are given as k-generalized Fibonacci numbers. Here k is an arbitrary integer and the cases considered by de Souza et al. corespond to k=2.Comment: 8 page

Engineering New Bone via a Minimally Invasive Route Using Human Bone Marrow-Derived Stromal Cell Aggregates, Microceramic Particles, and Human Platelet-Rich Plasma Gel

There is a rise in the popularity of arthroscopic procedures in orthopedics. However, the majority of cell based bone tissue engineered constructs rely on solid pre-formed scaffolding materials, which require large incisions and extensive dissections for placement at the defect site. Thus, they are not suitable for minimally invasive techniques. The aim of this study was to develop a clinically relevant, easily moldable, bone tissue engineered construct (TEC), amenable to minimally invasive techniques, using human mesenchymal stromal cells (hMSC) and calcium phosphate micro particles in combination with an in-situ forming platelet rich plasma (PRP) gel obtained from human platelets. Most conventional TECs rely on seeding and culturing single cell suspensions of hMSCs on scaffolds. However, for generating TECs amenable to the minimally invasive approach, it was essential to aggregate the hMSCs in vitro prior to seeding them on the scaffolds as unaggregated MSCs did not generate any bone. 24 hours of in vitro aggregation was determined to be optimal for maintaining cell viability in vitro and bone formation in vivo. Moreover, no statistically significant difference was observed in the amount of bone formed when the TECs were implanted via an open approach or a minimally invasive route. TECs generated using MSCs from three different human donors generated new bone through the minimally invasive route in a reproducible manner, suggesting that these TECs could be a viable alternative to pre-formed scaffolds employed through an open surgery for treating bone defects

Detection of Plasmodium falciparum in laboratory-reared and naturally infected wild mosquitoes using near-infrared spectroscopy.

There is an urgent need for high throughput, affordable methods of detecting pathogens inside insect vectors to facilitate surveillance. Near-infrared spectroscopy (NIRS) has shown promise to detect arbovirus and malaria in the laboratory but has not been evaluated in field conditions. Here we investigate the ability of NIRS to identify Plasmodium falciparum in Anopheles coluzzii mosquitoes. NIRS models trained on laboratory-reared mosquitoes infected with wild malaria parasites can detect the parasite in comparable mosquitoes with moderate accuracy though fails to detect oocysts or sporozoites in naturally infected field caught mosquitoes. Models trained on field mosquitoes were unable to predict the infection status of other field mosquitoes. Restricting analyses to mosquitoes of uninfectious and highly-infectious status did improve predictions suggesting sensitivity and specificity may be better in mosquitoes with higher numbers of parasites. Detection of infection appears restricted to homogenous groups of mosquitoes diminishing NIRS utility for detecting malaria within mosquitoes

Assessment of Three Mitochondrial Genes (16S, Cytb, CO1) for Identifying Species in the Praomyini Tribe (Rodentia: Muridae)

The Praomyini tribe is one of the most diverse and abundant groups of Old World rodents. Several species are known to be involved in crop damage and in the epidemiology of several human and cattle diseases. Due to the existence of sibling species their identification is often problematic. Thus an easy, fast and accurate species identification tool is needed for non-systematicians to correctly identify Praomyini species. In this study we compare the usefulness of three genes (16S, Cytb, CO1) for identifying species of this tribe. A total of 426 specimens representing 40 species (sampled across their geographical range) were sequenced for the three genes. Nearly all of the species included in our study are monophyletic in the neighbour joining trees. The degree of intra-specific variability tends to be lower than the divergence between species, but no barcoding gap is detected. The success rate of the statistical methods of species identification is excellent (up to 99% or 100% for statistical supervised classification methods as the k-Nearest Neighbour or Random Forest). The 16S gene is 2.5 less variable than the Cytb and CO1 genes. As a result its discriminatory power is smaller. To sum up, our results suggest that using DNA markers for identifying species in the Praomyini tribe is a largely valid approach, and that the CO1 and Cytb genes are better DNA markers than the 16S gene. Our results confirm the usefulness of statistical methods such as the Random Forest and the 1-NN methods to assign a sequence to a species, even when the number of species is relatively large. Based on our NJ trees and the distribution of all intraspecific and interspecific pairwise nucleotide distances, we highlight the presence of several potentially new species within the Praomyini tribe that should be subject to corroboration assessments

FIBONACCI-HORNER DECOMPOSITION OF THE MATRIX EXPONENTIAL AND THE FUNDAMENTAL SYSTEM OF SOLUTIONS

This paper concerns the Fibonacci-Horner decomposition of the matrix powers A n and the matrix exponential e tA (A ∈ M(r; C), t ∈ R), which is derived fromthe combinatorial properties of the generalized Fibonacci sequences in the algebra of square matrices. More precisely, e tA is expressed in a natural way in the so–called Fibonacci-Horner basis with the aid of the dynamical solution of the associated ordinary differential equation. Two simple processes for computing the dynamical solution and the fundamental system of solutions are given. The connection to Verde-Star’s approach is discussed. Moreover, an extension to the computation of f(A), where f is an analytic function is initiated. Finally, some illustrative examples are presented

Variabilité dans les composants métiers multivues

International audienceLa capacité des composants réutilisables d'être changés et adaptés aux exigences des concepteurs est une propriété essentielle pour leur développement, particulièrement pour le développement des composants métiers (CM). Dans cet article, nous nous focalisons sur la réutilisation des CM dans différents systèmes d'information (SI) du même domaine métier. Pour ce faire, nous nous basons sur le concept de variabilité, défini comme la capacité d'un système à être changé ou adapté aux besoins de l'utilisateur afin d'être réutilisé dans de multiples contextes. Ainsi, nous proposons de concevoir des CMs supportant la variabilité, en capturant les similarités et les variations entre SI qui partagent des comportements communs, dans un but de réutilisation de ces CMs dans diffÈrents contextes

A New Best Approximation Result in (S) Convex Metric Spaces

Consider a self-mapping T defined on the union of p subsets of a metric space, and T is said to be p cyclic if TAi⊆Ai+1 for i=1,…,p with Ap+1=A1. In this article, we introduce the notion of S convex structure, and we acquire a best proximity point for p cyclic contraction in S convex metric spaces