Evaluation of the Weibull and log normal distribution functions as survival models of Escherichia coli under isothermal and non isothermal conditions

Kinetics of Escherichia coli inactivation employing hydrogen peroxide at varying temperatures, pH and concentrations

“…The Weibullian distribution was used as a model to describe the spectrum of resistances of the population to experimental factors (Peleg & Cole, 1998;Aragao, Corradini, Normand, & Peleg, 2007).…”

Modelling heat-disinfestation of dried fruits on “biological model” larvae Ephestia kuehniella (Zeller)

“…The Weibull model has often been used in modeling time to failure in reliability (electronic and mechanical systems) and quality control work in engineering (Smith, 1991). Due to its flexibility, the distribution has also been applied in the field of life data analysis (Fleming, 2001; van Boekel, 2002) for death in biomedical organisms, ecological organisms, microorganisms (Aragao, Corradini, Normand, & Peleg, 2007;Mafart, Couvert, Gaillard, & Leguerinel, 2002) and enzymes and in nutrient degradation (Corradini & Peleg, 2004). While the conventional first-order model implicitly assumes that larvae populations are homogeneous from the point of view of their heat resistance, in this work we assumed that at a given temperature the time of heat exposure, which caused the death of a larvae, is variable from one individual to another and that the dispersion of individual heat resistance is governed by a Weibull distribution.…”

Modeling thermal degradation of litchi texture: Comparison of WeLL model and conventional methods

“…In 2003, world-renowned scientists participated in IFT's second Research Summit to advance the understanding of microbial inactivation kinetics, with the conclusion that models for non-log linear survivor curves should be identified (Heldman & Newsome, 2003). The most studied alternative model is the Weibull-Log logistic (WeLL) model, which is capable of describing non-linear survival curve and has been demonstrated to be applicable in thermal microbial inactivation process (Peleg & Cole, 1998;Mafart et al, 2002;Corradini & Peleg, 2004b;Aragao, Corradini, Nonmand, & Peleg, 2007;Buzrul & Alpas, 2007). WeLL model is built on the notion that degradation or inactivation curve is the cumulative form of the temporal distribution of events that resulted in destruction of the affected molecules, requiring no specific mechanism (Corradini & Peleg, 2004a).…”