scholarly journals Accurate Approximation of the Volume Distribution of a High-Dimensional Ball near the Equator

2019 ◽  
Vol 25 (11) ◽  
pp. 1027-1032
Author(s):  
Sungbok Kim ◽  
Hyungseok Yun
1996 ◽  
Vol 16 (02) ◽  
pp. 151-163 ◽  
Author(s):  
W. Schneider ◽  
A. Wehmeier

SummaryMegakaryocytes are part of clonal hematopoiesis in chronic myeloproliferative disorders and are responsible for most of the clinical complications in this disease. About 30-40% of patients with polycythemia vera (PV) and essential thrombocythemia (ET) suffer from thrombotic complications, and microcirculatory disorders are common. Spontaneous bleeding mainly from the gastrointestinal tract is another complication that is especially prevalent in myelofibrosis and advanced stages of chronic myeloid leukemia.In vivo, the bone marrow is hypercellular and the concentration of megakaryocytes increased with characteristic morphological abnormalities. Megakaryocytes are enlarged and ploidy is increased in PV and ET but small mononuclear cells with decreased ploidy are a feature of CML. Despite spontaneous growth in cul-ture, megakaryocytes in chronic MPD are hypersensitive to added interleukin-3, interleukin-6 and GM-CSF.Platelets released from these megakaryocytes show abnormal morphology and ultrastructure, reflected in loss of storage granules and organelles, increased volume distribution and low buoyant density. Uptake, storage and secretion of platelet dense granule constituents is abnormal, and the plasma levels of platelet specific proteins which may also include growth factors for fibroblasts are elevated. At high platelet counts, spontaneous aggregation is observed, whereas agonist-induced aggregation in vitro with adrenaline, ADP and collagen is often defective. Platelet thromboxane generation may be stimulated, and production along the lipoxygenase pathway is decreased. Abnormalities of glycoprotein receptors and decreased fibrinogen binding have been reported but their clinical significance is uncertain. Several observations suggest that not only receptor defects but ineffective intracellular signalling may be responsible for platelet function abnormalities.No single underlying defect has been discovered that could explain this variety of pathological findings. Moreover, a combination of intrinsic megakaryocyte abnormalities and increased susceptibility of platelets to activation makes it difficult to differentiate secondary phenomena from effects of clonal hematopoiesis. How-ever, there are some clinical guidelines for therapy.Most elderly patients will be treated with cytoreductive therapy. Alkylating drugs and 32P have been shown to be leukemogenic, but even hydroxyurea may have a 10% incidence of leukemia induction after long-term therapy. Therapy with platelet-inhibitory drugs is often not sufficient to control thrombosis, and may aggravate a bleeding tendency, so that younger patients with PV and ET are increasingly treated with anagrelide or interferon alpha (A-IFN). Anagrelide is a quinazolin derivative that specifically inhibits megakaryocytopoiesis, while A-IFN may suppress clonal hematopoiesis by an unknown mechanism.


ABOUTOPEN ◽  
2020 ◽  
Vol 7 (1) ◽  
pp. 21-23
Author(s):  
Raffaele Di Fenza ◽  
Hedwige Gay ◽  
Martina Favarato ◽  
Isabella Fontana ◽  
Roberto Fumagalli

In severe acute respiratory distress syndrome (ARDS), characterized by the ratio of arterial partial pressure of oxygen over fraction of inspired oxygen (P/F) less than 150 mm Hg, pronation cycles are the only intervention that showed improved survival, in combination with protective ventilation. The physiological advantages of performing pronation cycles, such as the improvement of oxygenation, better tidal volume distribution with increased involvement of dorsal regions, and easier drainage of secretions, overcome the possible complications, that is, endotracheal tube occlusion or misplacement, pressure ulcers, and brachial plexus injury. However, the incidence of complications is dramatically lower in intensive care units with expertise, adopting prone positioning in daily practice. In this video we are proposing step by step an easy and ergonomic technique to perform pronation maneuvers in patients with severe ARDS. Recent literature suggests that a high percentage of these patients are treated without undergoing pronation cycles. The main purpose of this video is to help increase the number of intensive care units worldwide commonly performing pronation cycles in patients that have indications to be pronated, in order to decrease healthcare burden and costs directly caused by ARDS. Proper intensive care unit staff training is fundamental in minimizing the risks associated with the maneuver for both patients and operators; and diffusion of a safe technique encouraging the operators is the second main purpose of this video.


2011 ◽  
Vol 11 (3) ◽  
pp. 272
Author(s):  
Ivan Gavrilyuk ◽  
Boris Khoromskij ◽  
Eugene Tyrtyshnikov

Abstract In the recent years, multidimensional numerical simulations with tensor-structured data formats have been recognized as the basic concept for breaking the "curse of dimensionality". Modern applications of tensor methods include the challenging high-dimensional problems of material sciences, bio-science, stochastic modeling, signal processing, machine learning, and data mining, financial mathematics, etc. The guiding principle of the tensor methods is an approximation of multivariate functions and operators with some separation of variables to keep the computational process in a low parametric tensor-structured manifold. Tensors structures had been wildly used as models of data and discussed in the contexts of differential geometry, mechanics, algebraic geometry, data analysis etc. before tensor methods recently have penetrated into numerical computations. On the one hand, the existing tensor representation formats remained to be of a limited use in many high-dimensional problems because of lack of sufficiently reliable and fast software. On the other hand, for moderate dimensional problems (e.g. in "ab-initio" quantum chemistry) as well as for selected model problems of very high dimensions, the application of traditional canonical and Tucker formats in combination with the ideas of multilevel methods has led to the new efficient algorithms. The recent progress in tensor numerical methods is achieved with new representation formats now known as "tensor-train representations" and "hierarchical Tucker representations". Note that the formats themselves could have been picked up earlier in the literature on the modeling of quantum systems. Until 2009 they lived in a closed world of those quantum theory publications and never trespassed the territory of numerical analysis. The tremendous progress during the very recent years shows the new tensor tools in various applications and in the development of these tools and study of their approximation and algebraic properties. This special issue treats tensors as a base for efficient numerical algorithms in various modern applications and with special emphases on the new representation formats.


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