2,161 research outputs found

    Pharmacokinetics, in-vitro activity, therapeutic efficacy and clinical safety of aztreonam vs. cefotaxime in the treatment of complicated urinary tract infections

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    The minimal inhibitory concentrations (MICs) of aztreonam and cefotaxime were determined against 400 isolates from urological in-patients with complicated and/or hospital acquired urinary tract infections (UTI). Against the Gram-negative rods the activities of both antibiotics were comparable except for higher activity of aztreonam against Pseudomonas aeruginosa. The pharmacokinetic study in nine elderly patients showed a prolonged plasma half life of aztreonam (2.7 h) as compared to younger volunteers (1.6-1.9 h). In a prospective randomized study 39 urological patients with complicated and/or hospital acquired UTI were treated with 1 g aztreonam or cefotaxime iv twice daily for 4 to 15 days. Cure was obtained in 5 out of 18 patients in the aztreonam and 7 out of 20 patients in the cefotaxime group. There were 3 superinfections, 7 relapses and 3 reinfections in the aztreonam group and 1 failure, 1 superinfection, 6 relapses and 5 reinfections in the cefotaxime group. There was no significant difference in therapeutic efficacy between the two antibiotics. Both antibiotics were tolerated well and seem to be equally effective in the treatment of complicated UTI caused by sensitive organisms

    Extremal Properties of Ultraspherical Polynomials

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    AbstractFor the polynomials Pl(x) = al0 + al1x + ... + allxl (of degree l) we consider the problem of maximizing a weighted product of the absolute values of the highest coefficients ∏nl = 1 |allβl among all polynomials P1, ..., Pn for which the weighted sum of squares ∑nl = 1 βlP2l(x) is bounded by 1 on the interval [−1, 1]. By an application of a duality result the solutions (depending on the weights βl ≥ 0) of these problems are determined. The "optimal" polynomials are the orthonormal polynomials with respect to a probability measure minimizing a weighted product of determinants of Hankel matrices (the solution of the dual problem). For a special class of weights β1, ..., βn the optimal polynomials can be represented in terms of ultraspherical polynomials. Thus some new extremal properties are obtained for these polynomials which generalize the well known fact that among all polynomials Pn of degree n with |Pn(x)| ≤ 1 (on [−1, 1]) the maximum of the highest coefficient is obtained for the Chebyshev polynomial of the first kind. The results are illustrated in several examples

    D-optimal designs via a cocktail algorithm

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    A fast new algorithm is proposed for numerical computation of (approximate) D-optimal designs. This "cocktail algorithm" extends the well-known vertex direction method (VDM; Fedorov 1972) and the multiplicative algorithm (Silvey, Titterington and Torsney, 1978), and shares their simplicity and monotonic convergence properties. Numerical examples show that the cocktail algorithm can lead to dramatically improved speed, sometimes by orders of magnitude, relative to either the multiplicative algorithm or the vertex exchange method (a variant of VDM). Key to the improved speed is a new nearest neighbor exchange strategy, which acts locally and complements the global effect of the multiplicative algorithm. Possible extensions to related problems such as nonparametric maximum likelihood estimation are mentioned.Comment: A number of changes after accounting for the referees' comments including new examples in Section 4 and more detailed explanations throughou

    Anisotropic Radial Layout for Visualizing Centrality and Structure in Graphs

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    This paper presents a novel method for layout of undirected graphs, where nodes (vertices) are constrained to lie on a set of nested, simple, closed curves. Such a layout is useful to simultaneously display the structural centrality and vertex distance information for graphs in many domains, including social networks. Closed curves are a more general constraint than the previously proposed circles, and afford our method more flexibility to preserve vertex relationships compared to existing radial layout methods. The proposed approach modifies the multidimensional scaling (MDS) stress to include the estimation of a vertex depth or centrality field as well as a term that penalizes discord between structural centrality of vertices and their alignment with this carefully estimated field. We also propose a visualization strategy for the proposed layout and demonstrate its effectiveness using three social network datasets.Comment: Appears in the Proceedings of the 25th International Symposium on Graph Drawing and Network Visualization (GD 2017
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