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High hydrostatic pressure inactivation kinetics of Escherichia coli ATCC 25922 and Salmonella enterica subsp. enterica serovar Typhimurium ATCC 14028 ( S. typhimurium) in a low acid mamey pulp at four pressure levels (300, 350, 400, and 450 MPa), different exposure times (0-8 min), and temperature of 25 ± 2℃ were obtained. Survival curves showed deviations from linearity in the form of a tail (upward concavity). The primary models tested were the Weibull model, the modified Gompertz equation, and the biphasic model. The Weibull model gave the best goodness of fit ( R > 0.956, root mean square error < 0.290) in the modeling and the lowest Akaike information criterion value. Exponential-logistic and exponential decay models, and Bigelow-type and an empirical models for b'( P) and n( P) parameters, respectively, were tested as alternative secondary models. The process validation considered the two- and one-step nonlinear regressions for making predictions of the survival fraction; both regression types provided an adequate goodness of fit and the one-step nonlinear regression clearly reduced fitting errors. The best candidate model according to the Akaike theory information, with better accuracy and more reliable predictions was the Weibull model integrated by the exponential-logistic and exponential decay secondary models as a function of time and pressure (two-step procedure) or incorporated as one equation (one-step procedure). Both mathematical expressions were used to determine the t parameter, where the desired reductions ( 5D) (considering d = 5 ( t) as the criterion of 5 Log reduction (5 D)) in both microorganisms are attainable at 400 MPa for 5.487 ± 0.488 or 5.950 ± 0.329 min, respectively, for the one- or two-step nonlinear procedure.

Resumen -El propósito de este trabajo fue determinar el tamaño de muestra adecuado, para detectar diferencias estadísticas en análisis de varianza de los caracteres de xilema, en brotes anuales de aguacate. Para esto, fueron registradas en tres árboles con altura contrastante las variables frecuencia, área, perímetro y diámetro de los vasos del xilema. A partir de 50 observaciones de cada árbol, se realizaron 5.000 remuestreos no paramétricos, para cada repetición de 2 a 50 campos microscópicos. A partir del tamaño de muestra de 15 repeticiones, las desviaciones en los cinco estadísticos son mínimas, por lo que se propone como el mínimo para el muestreo de dichas variables.Términos para indexación: Persea americana, análisis de varianza, bootstrap, vasos del xilema. Sample size determination of avocado shoot xylem characters by resamplingAbstract -The objective of this work was to determine the suitable sample size, to detect statistical differences in the analysis of variance of xylem characters, in annual shoots of avocado trees. For this, xylem characters of three trees with contrasting height were registered for frequency, area, perimeter and diameter of xylem vessels. Starting from 50 observations from each tree, a total of 5.000 non parametric bootstraps were done for each of the replicates from 2 to 50 microscopic fields. Starting from a sample size of 15 replicates, the deviations in the five statistical estimates are minimal, so it is proposed as the minimum for sampling the mentioned variables.