Homogeneizacion reiterada de un problema de contorno unidimensional

The asymptotic homogenization method is applied to homogenize a one-dimensional family of elliptic boundary value problems with periodic and rapidly oscillating coefficients which depend on two fast variables. The homogenized problem, the local problems and the corresponding effective coefficient are obtained. A necessary and sufficient condition for constructing an asymptotic solution with periodic terms is demonstrated. Based on a Maximum Principle the proximity between the solutions of the homogenized and original problems is proved. Some numerical computations are used to illustrate the mathematical justificationEl metodo de homogeneizacion asintotica es aplicado para homogeneizar una familia unidimensional de problemas elıpticos, con coeficientes periodicos y rapidamente oscilantes que dependen de dos variables rapidas. El problema homogeneizado, los problemas locales y los correspondientes coeficientes efectivos son obtenidos. Una condicion necesaria y suficiente para la construccion de una solucion asintotica con terminos periodicos es demostrada. Basados en el principio del maximo, se demuestra la proximidad entre la soluci´on del problema homogeneizado y la del problema original. Se propone un ejemplo numerico para ilustrar la justificacion matematica

Reiterated homogenization of a two-point boundary value problem

El metodo de homogeneizacion asintotica es aplicado para homogeneizar una familia unidimensional de problemas elıpticos, con coeficientes periodicos y rapidamente oscilantes que dependen de dos variables rapidas. El problema homogeneizado, los problemas locales y los correspondientes coeficientes efectivos son obtenidos. Una condicion necesaria y suficiente para la construccion de una solucion asintotica con terminos periodicos es demostrada. Basados en el principio del maximo, se demuestra la proximidad entre la soluci´on del problema homogeneizado y la del problema original. Se propone un ejemplo numerico para ilustrar la justificacion matematica.The asymptotic homogenization method is applied to homogenize a one-dimensional family of elliptic boundary value problems with periodic and rapidly oscillating coefficients which depend on two fast variables. The homogenized problem, the local problems and the corresponding effective coefficient are obtained. A necessary and sufficient condition for constructing an asymptotic solution with periodic terms is demonstrated. Based on a Maximum Principle the proximity between the solutions of the homogenized and original problems is proved. Some numerical computations are used to illustrate the mathematical justificatio

Propensity-score analysis reveals that sex is not a prognosis factor for mortality in intensive care unit-admitted patients with septic bacteremia

ABSTRACT: Objective: Men have been considered to have a higher incidence of infectious diseases, with controversy over the possibility that sex could influence the prognosis of the infection. This study aimed to explore this assumption in patients admitted to the intensive care unit (ICU) with septic bacteremia. Methods: A retrospective analysis (2006-2017) of septic patients with microbiologically confirmed bacteremia (n=440) was performed. Risk of ICU and in-hospital mortality in males versus females was compared by univariate analysis and a propensity score analysis integrating their clinical characteristics. Results: Sepsis more frequently occurred in males (80.2% vs 76.1%) as well as in-hospital (48.0% vs 41.3%) and ICU (39.9% vs 36.5%) mortality. Univariate analyses showed that males had a higher Charlson comorbidity index and worse McCabe prognostic score. However, the propensity score in 296 matched patients demonstrated that females had higher risk of both ICU (OR 1.39; 95% CI 0.89-2.19) and in-hospital mortality (OR 1.18; 95% CI 0.77-1.83), but without statistical significance. Conclusion: Males with sepsis had worse clinical characteristics when admitted to the ICU, but sex had no influence on mortality. These data contribute to helping reduce the sex-dependent gap present in healthcare provision