Cuntz-Krieger algebras and wavelets on fractals

We consider representations of Cuntz--Krieger algebras on the Hilbert space of square integrable functions on the limit set, identified with a Cantor set in the unit interval. We use these representations and the associated Perron-Frobenius and Ruelle operators to construct families of wavelets on these Cantor sets.Comment: 37 pages, LaTe

Cuntz–Krieger Algebras and Wavelets on Fractals

We consider representations of Cuntz–Krieger algebras on the Hilbert space of square integrable functions on the limit set, identified with a Cantor set in the unit interval. We use these representations and the associated Perron–Frobenius and Ruelle operators to construct families of wavelets on these Cantor sets

Remarks on Q-oscillators representation of Hopf-type boson algebras

We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra. Moreover we give a characterization of these models in terms of these quotients coupled to Euclidean Clifford algebra. A theorem is proved which provides representations of the models, induced from those of a certain type of quotient algebra

Physiological responses and energy cost of walking on the Gait Trainer with and without body weight support in subacute stroke patients

BACKGROUND: Robotic-assisted walking after stroke provides intensive task-oriented training. But, despite the growing diffusion of robotic devices little information is available about cardiorespiratory and metabolic responses during electromechanically-assisted repetitive walking exercise. Aim of the study was to determine whether use of an end-effector gait training (GT) machine with body weight support (BWS) would affect physiological responses and energy cost of walking (ECW) in subacute post-stroke hemiplegic patients. METHODS: Participants: six patients (patient group: PG) with hemiplegia due to stroke (age: 66 ± 15y; time since stroke: 8 ± 3 weeks; four men) and 6 healthy subjects as control group (CG: age, 76 ± 7y; six men). Interventions: overground walking test (OWT) and GT-assisted walking with 0%, 30% and 50% BWS (GT-BWS0%, 30% and 50%). Main Outcome Measures: heart rate (HR), pulmonary ventilation, oxygen consumption, respiratory exchange ratio (RER) and ECW. RESULTS: Intervention conditions significantly affected parameter values in steady state (HR: p = 0.005, V’E: p = 0.001, V'O(2): p < 0.001) and the interaction condition per group affected ECW (p = 0.002). For PG, the most energy (V’O(2) and ECW) demanding conditions were OWT and GT-BWS0%. On the contrary, for CG the least demanding condition was OWT. On the GT, increasing BWS produced a decrease in energy and cardiac demand in both groups. CONCLUSIONS: In PG, GT-BWS walking resulted in less cardiometabolic demand than overground walking. This suggests that GT-BWS walking training might be safer than overground walking training in subacute stroke patients

NONLINEAR DYNAMICS AND WAVELETS IN DISCRETE BIOMATHEMATICAL MODELS

A discrete ecoepidemiological model is considered. Its dynamics is studied by using wavelet decomposition

Review article: studies of fungi in the state of Amazonas, Brazil in the last 10 years

Fungi are eukaryotic beings, uni or multicellular and are present in our daily lives, both in the manufacture of food and in the proliferation of diseases. The occurrence of fungi of the phylum Basidiomycota is most frequently found in the forest, as it is in these places that fungi find the conditions that best guarantee their physiological needs, acting as the main decomposers of organic matter. The present work aims to carry out production analysis on fungi in Amazonas. The review consisted of analyzing scientific articles, dissertations and thesis in the field of mycology in the Amazon region available in the databases PubMed, Scielo, Lilacs, ScienceDirect and Google Scholar, in English and Portuguese. The data collection used the publication period between 2008 and 2018 as the inclusion criterion, the exclusion criterion was the keywords that were not in accordance with the analyzes proposed by the publication criteria. It was found that all related works on fungi are published in scientific journals in the areas of teaching (two), health (five) and the environment (four), with emphasis on the fungi Candida, Aspergillus and Penicillium. The Amazon Forest has been little investigated, mainly in relation to fungi research, which makes it urgent to know about the diversity of fungi, especially in areas of the Brazilian Amazon, where it needs to be measured

Electrochemiluminescent immunoassay enhancement driven by carbon nanotubes

Electrochemiluminescence (ECL) is a leading analytical technique for clinical monitoring and early disease diagnosis. Carbon nanotubes are used as efficient nanomaterials for ECL signal enhancement providing new insights into the mechanism for the ECL generation but also affording application in bead-based immunoassay and ECL microscopy-based bioimaging

Prevalence and time course of post-stroke pain: A multicenter prospective hospital-based study

OBJECTIVE: Pain prevalence data for patients at various stages after stroke. DESIGN: Repeated cross-sectional, observational epidemiological study. SETTING: Hospital-based multicenter study. SUBJECTS: Four hundred forty-three prospectively enrolled stroke survivors. METHODS: All patients underwent bedside clinical examination. The different types of post-stroke pain (central post-stroke pain, musculoskeletal pains, shoulder pain, spasticity-related pain, and headache) were diagnosed with widely accepted criteria during the acute, subacute, and chronic stroke stages. Differences among the three stages were analyzed with χ(2)-tests. RESULTS: The mean overall prevalence of pain was 29.56% (14.06% in the acute, 42.73% in the subacute, and 31.90% in the chronic post-stroke stage). Time course differed significantly according to the various pain types (P < 0.001). The prevalence of musculoskeletal and shoulder pain was higher in the subacute and chronic than in the acute stages after stroke; the prevalence of spasticity-related pain peaked in the chronic stage. Conversely, headache manifested in the acute post-stroke stage. The prevalence of central post-stroke pain was higher in the subacute and chronic than in the acute post-stroke stage. Fewer than 25% of the patients with central post-stroke pain received drug treatment. CONCLUSIONS: Pain after stroke is more frequent in the subacute and chronic phase than in the acute phase, but it is still largely undertreated

Roe enhancement of Paracentrotus lividus: Nutritional effects of fresh and formulated diets

Sea urchin gonads are exploited both for gastronomic and scientific purposes; thus, the production of large and mature gonads is essential. Natural populations of the Mediterranean Sea urchin Paracentrotus lividus are subject to increasing fishing ef- forts, due to continuous intensification of consumptions. Aquaculture practices may represent an answer, but the availability of artificial feeds accelerating the produc- tion of high-quality gonads in terms of size, taste, colour, firmness, maturity and via- bility of gametes is critical to boost the productions. The accessibility of cheap and effective feeds promoting the fattening of gonads and the quality of gametes is still a bottleneck slowing down the expansion of echinoculture practices. This investiga- tion is aimed at enabling the development of this strategic sector, by comparing the dietetic effects of fresh foods and a commercial feed for aquaculture, to four newly formulated feeds. The protein contents of diets were strongly related to the GSIs. The abundance of fatty acids appeared inversely related to the viability of embryos and abnormalities of larvae. The features of an ideal diet for this sea urchin were defined, based on the results of experimental trials, and the need for increasing levels of plant-derived proteins during the grow-out period was demonstrated