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Local Isoperimetric Inequalities for Sectors on Surfaces and Cones

Acta Mathematica Sinica,English Series 2007年第7期23卷 1317-1326页

作者： Fernando GIMNEZ javier Orengo valverde Department de Matemdtica Aplicada University Politécnica de ValenciaCamino de Vera s/n46022SPAIN Department de Matemáticas University de Castilla la ManchaAvda.de Espaas/n02071AlbaceteSpain

On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also we study this prob... 详细信息

关键词： isoperimetric cones solid angle

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Potential of RP-UHPLC-DAD-MS for the qualitative and quantitative analysis of sofosbuvir in film coated tablets and profiling degradants

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Journal of Pharmaceutical Analysis 2017年第4期7卷 208-213页

作者： María del Mar Contreras Aránzazu Morales-Soto Antonio Segura-Carretero javier valverde Department of Analytical Chemistry Faculty of SciencesUniversity of GranadaAvenida Fuentenueva s/n18071 GranadaSpain Research and Development Functional Food Centre (CIDAF) Bioregión BuildingHealth Science Technological ParkAvda. Del Conocimiento s/n18016 GranadaSpain

Sofosbuvir is one of the new direct-acting antiviral drugs against hepatitis C virus(HCV) infection. This drug has recently been launched into the market, and generic versions of the medication are expected to be produced by local drug producers in some countries. Therefore, new methods are required to control sofosbuvir in pharmaceuticals. In the present study, a new method based on reversed phase(RP)-ultra-high performance liquid chromatography(UHPLC) coupled to diode array detection(DAD) and mass spectrometry(MS) was developed to facilitate the qualitative and quantitative analysis of sofosbuvir in film coated tablets. A wavelength of 260 nm was selected to perform a cost-effective quantification and the method showed adequate linearity,with an R^2 value of 0.9998, and acceptable values of accuracy(75%–102%) and precision(residual standard deviation < 5%). The detection and quantification limits were 0.07 μg/mL and 0.36 μg/mL, ***, the use of high-resolution MS enabled us to ensure the specificity, check impurities and better sensitivity. Therefore, this methodology promises to be suitable not only for the routine analysis of sofosbuvir in pharmaceutical dosage forms, but also for potential degradants.

关键词： Film coated tablets Mass spectrometry RP-UHPLC Sofosbuvir

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From Deterministic to Random Models: An Analysis of the New Spanish Overtaking Traffic Law

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Open Journal of Statistics 2023年第1期13卷 74-111页

作者： Enrique Castillo José Duato javier Girón Spanish Royal Academy of Engineering Don Pedro Madrid Spain Spanish Royal Academy of Sciences Valverde Madrid Spain

The purpose of the research is to analyze the new Spanish law of Traffic, which no longer permits exceeding by up to 20 km/hour the generic speed limits when overtaking on conventional roads. In this research, deterministic and random models are developed to analyze the associated safety risks. The deterministic model highlights the importance of dimensional analysis and provides dimensionless abacuses to analyze the problem. Next, Bayesian networks and Bayesian models are used to build a random model from the previous one, providing a general method to convert deterministic into random models. In addition, the problems of ignoring the dimensions of the variables and parameters are discussed, a common mistake to be corrected. Some examples and multidimensional graphics illustrate the huge reduction in safety and the need to review the existing end of prohibition signs, most of which must be removed. Shortly, the research results show that the distance required for overtaking with safety increases drastically.

关键词： Bayesian Network Modelling OpenBUGS Weibull Distribution

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