Bound states in point-interaction star-graphs

We discuss the discrete spectrum of the Hamiltonian describing a two-dimensional quantum particle interacting with an infinite family of point interactions. We suppose that the latter are arranged into a star-shaped graph with N arms and a fixed spacing between the interaction sites. We prove that the essential spectrum of this system is the same as that of the infinite straight "polymer", but in addition there are isolated eigenvalues unless N=2 and the graph is a straight line. We also show that the system has many strongly bound states if at least one of the angles between the star arms is small enough. Examples of eigenfunctions and eigenvalues are computed numerically.Comment: 17 pages, LaTeX 2e with 9 eps figure

Yeast biodiversity in vineyard environments is increased by human intervention

One hundred and five grape samples were collected during two consecutive years from 33 locations on seven oceanic islands of the Azores Archipelago. Grape samples were obtained from vineyards that were either abandoned or under regular cultivation involving common viticultural interventions, to evaluate the impact of regular human intervention on grape yeast biota diversity in vineyards. A total of 3150 yeast isolates were obtained and 23 yeast species were identified. The predominant species were Hanseniaspora uvarum, Pichia terricola, Starmerella bacillaris and Issatchenkia hanoiensis. The species Barnettozyma californica, Candida azymoides and Pichia cecembensis were reported in grapes or wine-associated environments for the first time. A higher biodiversity was found in active vineyards where regular human intervention takes place (Shannon index: 1.89 and 1.53 in the first and second years, respectively) when compared to the abandoned ones (Shannon index: 0.76 and 0.31). This finding goes against the assumptions that human intervention can destroy biodiversity and lead to homogeneity in the environment. Biodiversity indices were considerably lower in the year with the heaviest rainfall. This study is the first to report on the grape yeast communities from several abandoned vineyards that have undergone no human intervention.Joao Drumonde Neves is the recipient of a fellowship of the Azorean Government (M321/006/F/2008) and PROEMPREGO. This work was supported by the strategic programme UID/BIA/04050/2013 (POCI-01-0145-FEDER-007569) funded by national funds through the FCT I.P. and by the ERDF through the COMPETE2020 - Programa Operacional Competitividade e Internacionalizacao (POCI), and by national funds through FCT by the projects FCOMP-01-0124-008775, PTDC/AGR-ALI/103392/2008 and PTDC/AGR-ALI/121062/2010.info:eu-repo/semantics/publishedVersio

Exopolysaccharides May Increase Gastrointestinal Stress Tolerance of Lactobacillus reuteri

This study investigated a possible relationship between exopolysaccharides (EPS) production and the resistance to bile salts and low pH in intestinal strains of Lactobacillus reuteri. The strains displayed a mucoid phenotype, when grown in the presence of 10 % sucrose. Scanning electron microscopy (SEM) revealed strands of exopolysaccharide linking neighbouring cells. The strains (except L. reuteri B1/1) produced EPS in the range from 15.80 to 650.70 mg.l−1. The strains were tested for tolerance to bile salts (0.15; 0.3 %) and low pH (1.5—2.0—2.5—3.0). The survival rate, after the treatment with artificial gastric and intestinal juices, was determined by flow cytometric analysis. The strains of L. reuteri that produced 121—650 mg.l−1 of EPS showed a significantly higher tolerance (P < 0.001) to the gastric juice at pH 3 and 2.5, throughout the entire exposure time, in comparison to the strains that produced less than 20 mg.l−1 of EPS. L. reuteri L26, with the highest production of EPS, exhibited the highest survival rate (60 %) at pH 2 after the 120 minutes of in-cubation and was able to tolerate pH 1.5 for 30 minutes. Higher production of EPS significantly (P < 0.001) increased the strains’ tolerance against the intestinal juice in the presence of 0.15 and 0.3 % bile salts and was time dependent. L. reuteri L26 showed the highest tolerance (P < 0.001) against 0.3 % bile salts. This investigation revealed a positive correlation between the EPS production and the resistance of intestinal L. reuteri to the stress conditions of the gastrointestinal tract (GIT)

Influence of Flaxseed Oil on Fecal Microbiota, Egg Quality and Fatty Acid Composition of Egg Yolks in Laying Hens

Although there have been many attempts to produce omega-3 fatty acid-rich eggs using alpha-linolenic acid (ALA) that is a popular fatty acid in the poultry feed industry, only limited knowledge about the effects of ALA enriched diets on chicken fecal microbiota is currently available. Herein we examined the changes in the fecal microbiota composition, egg quality traits and fatty acid composition of the egg yolks of laying hens fed ALA-rich flaxseed oil for 8 weeks. The animals fed the experimental diets that contained 0 % (group C), 0.5 % (group T1), and 1.0 % (group T2) of flaxseed oil, respectively, and eggs and feces were obtained for the analyses. omega-3 fatty acids, including ALA, were increased in T1 and T2 compared with C. Furthermore, the freshness of eggs was improved with no side effects on the eggs. The diet also changed the fecal microbiota; Firmicutes was increased in T1 and T2 (48.6 to 83 and 79.6 %) and Bacteroidetes was decreased (40.2 to 8.8 and 4.2 %). Principal coordinate analysis revealed that Lactobacillus, among the 56 examined genera, was the most influenced bacterial group in terms of the fecal microbial community shifts. These results indicate that ALA-rich diets influenced both the egg and fecal microbiota in beneficial manners in laying hens although the association between the fatty acid composition of the egg yolk and the fecal microbiota was not clear. This study is a first step to understand the effect of flaxseed oil as well as intestinal microbiota of laying hens