56 resultados para Anomaly. Geometry non-Euclidean geometry. History of mathematics. Mathematics research

em BORIS: Bern Open Repository and Information System - Berna - Suiça


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We explore a generalisation of the L´evy fractional Brownian field on the Euclidean space based on replacing the Euclidean norm with another norm. A characterisation result for admissible norms yields a complete description of all self-similar Gaussian random fields with stationary increments. Several integral representations of the introduced random fields are derived. In a similar vein, several non-Euclidean variants of the fractional Poisson field are introduced and it is shown that they share the covariance structure with the fractional Brownian field and converge to it. The shape parameters of the Poisson and Brownian variants are related by convex geometry transforms, namely the radial pth mean body and the polar projection transforms.

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Aims: Angiographic evidence of edge dissections has been associated with a risk of early stent thrombosis. Optical coherence tomography (OCT) is a high-resolution technology detecting a greater number of edge dissections -particularly non-flow-limiting- compared to angiography. Their natural history and clinical implications remain unclear. The objectives of the present study were to assess the morphology, healing response, and clinical outcomes of OCT-detected edge dissections using serial OCT imaging at baseline and at one year following drug-eluting stent (DES) implantation. Methods and results: Edge dissections were defined as disruptions of the luminal surface in the 5 mm segments proximal and distal to the stent, and categorised as flaps, cavities, double-lumen dissections or fissures. Qualitative and quantitative OCT analyses were performed every 0.5 mm at baseline and one year, and clinical outcomes were assessed. Sixty-three lesions (57 patients) were studied with OCT at baseline and one-year follow-up. Twenty-two non-flow-limiting edge dissections in 21 lesions (20 patients) were identified by OCT; only two (9%) were angiographically visible. Flaps were found in 96% of cases. The median longitudinal dissection length was 2.9 mm (interquartile range [IQR] 1.6-4.2 mm), whereas the circumferential and axial extensions amounted to 1.2 mm (IQR: 0.9-1.7 mm) and 0.6 mm (IQR: 0.4-0.7 mm), respectively. Dissections extended into the media and adventitia in seven (33%) and four (20%) cases, respectively. Eighteen (82%) OCT-detected edge dissections were also evaluated with intravascular ultrasound which identified nine (50%) of these OCT-detected dissections. No stent thrombosis or target lesion revascularisation occurred up to one year. At follow-up, 20 (90%) edge dissections were completely healed on OCT. The two cases exhibiting persistent dissection had the longest flaps (2.81 mm and 2.42 mm) at baseline. Conclusions: OCT-detected edge dissections which are angiographically silent in the majority of cases are not associated with acute stent thrombosis or restenosis up to one-year follow-up.

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The human olfactory bulb (OB) is the first relay station of the olfactory pathway and may have the potential for postnatal neurogenesis in early childhood. In animals, chronic stress affects the OB and olfactory functioning. For humans, it has been shown that major depressive disorder is accompanied by reduced OB volume and reduced olfactory function. However, it is not clear if major stress in childhood development also affects olfactory functioning and OB volume in humans. OB volume was measured and olfactory function was tested in 17 depressive patients with and 10 without a history of severe childhood maltreatment (CM). CM patients exhibited a significantly reduced olfactory threshold and identification ability. The OB volume of the CM patients was significantly reduced to 80% of the non-CM patients. In conclusion, postnatal neurogenesis might be by reduced in CM, which may affect olfactory function of the brain in later life. Alternatively, a reduced OB volume may enhance psychological vulnerability in the presence of adverse childhood conditions although other areas not analyzed in this study may also be involved.

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We sought to assess the outcome of asymptomatic patients with very severe aortic stenosis.

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OBJECTIVES: Information on the significance of dental care in older adults is limited. We hypothesized that regular dental visits has an effect on the number of remaining teeth and periodontal conditions in older subjects. MATERIALS AND METHODS: 1020 randomly selected individuals age 60 - 96 from the Swedish National Study on Aging and Care Blekinge received a comprehensive oral health examination. RESULTS: Dentate women and men had, on average 18.4 teeth (SD +7.6,) and 18.9 teeth (SD + 7.5) respectively (NS). In the youngest group (60 and 66 years old) with less than one dental visit per year, 37% had >20 teeth, compared with 73% among those with at least annual visits. Among the old-old, comparable figures were 1.8 % and 37% respectively. Across age groups, bleeding on probing was 23 %.When adjusting for age, and number of teeth GLM univariate analysis failed to demonstrate an effect of dental visit frequency on alveolar bone loss (p = 0.18), the number of periapical lesions (p = 0.65), or the number of endodontically treated teeth ( p = 0.41). Frequent dental visitors had more teeth than infrequent visitors (p = 0.001). CONCLUSIONS: Tooth loss and alveolar bone loss severity increase with age. Individuals with regular dental visits retained more teeth but the frequency of dental visits had no impact on plaque deposits, gingival inflammation, or alveolar bone levels.

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