Weibull Distribution Function Based on an Empirical Mathematical Model for Inactivation of Escherichia coli by Pulsed Electric Fields

Authors: Rodrigo D.1; Barbosa-Cánovas G.V.2; Martínez A.3; Rodrigo M.1

Source: Journal of Food Protection®, Volume 66, Number 6, 1 June 2003 , pp. 1007-1012(6)

Publisher: International Association for Food Protection

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Abstract:

The pulsed electric field inactivation kinetics of Escherichia coli suspended in orange juices with three different concentrations of carrot juice (0, 20, and 60%) was studied. Electric field strengths ranged from 25 to 40 kV/cm, and treatment times ranged from 40 to 340 mus. Experimental data were fitted to Bigelow, Hülsheger, and Weibull distribution functions, and the Weibull function provided the best fit (with the lowest mean square error). The dependency of each model's kinetic constant on electric field strength and carrot juice concentration was studied. A secondary model was developed to describe the relationship of Weibull parameters a and n to electric field strength and carrot juice concentration. An empirical mathematical model based on the Weibull distribution function, relating the natural logarithm of the survival fraction to treatment time, electric field strength, and carrot juice concentration, was developed. Parameters were estimated by a nonlinear regression. The results of this study indicate that the error rate for the model's predictions was 6.5% and that the model was suitable for describing E. coli inactivation.

Document Type: Research article

Affiliations: 1: Instituto de Agroqúinodotmica y Tecnología de Alimentos, Consejo Superior de Investigaciones Científicas, Apartado de Correos 73, 46100 Burjassot, Valencia, Spain mica y Tecnología de Alimentos, Consejo Superior de Investigaciones Científicas, Apartado de Correos 73, 46100 Burjassot, Valencia, Spain "> 2: Department of Biological System Engineering, Washington State University, Pullman, Washington 99164-6120, USA 3: Instituto de Agroqúinodotmica y Tecnología de Alimentos, Consejo Superior de Investigaciones Científicas, Apartado de Correos 73, 46100 Burjassot, Valencia, Spainmica y Tecnología de Alimentos, Consejo Superior de Investigaciones Científicas, Apartado de Correos 73, 46100 Burjassot, Valencia, Spain">

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