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Development of a bivariate mathematical model to characterize simultaneously the dose-time-responses of pro-oxidant agents
Published by the American Society of Agricultural and Biological Engineers, St. Joseph, Michigan www.asabe.orgCitation: Paper number 131620326 , 2013 Kansas City, Missouri, July 21 - July 24, 2013. (doi: http://dx.doi.org/10.13031/aim.20131620326 ) @2013
Authors: Thomas P Curran, Miguel Ángel Prieto Lage, Yvonne Anders, José Antonio Vázquez Álvarez, Miguel Anxo Murado García
Keywords: oxidation reactions; mathematical modeling; non-linear responses; modeling biological processes; process engineering.
A pseudo-mechanistic model is proposed which is based on the accumulative Weibull's function, and represents a formal transfer from the field of the dose-response relationships. It allows researchers to obtain the simultaneous solution of a series of oxidation activities as a function of concentration and time. It describes satisfactorily simulations in which reaction compounds interact through a second order kinetic scheme. Its application is simple: it provides parametric estimates, which characterize the oxidative process; facilitates rigorous comparisons between the effects of distinct compounds in different systems; reduces the sensitivity to the experimental error; and its mathematical form constitutes a useful orientation to prepare more economic and efficient trial designs. The model was assayed, firstly, using the kinetic simulation of the oxidative process, and finally, it was applied to a variety of experimental data from other authors in different systems and conditions, obtaining highly satisfactory results in all cases. In all experimental data tested, the calculated parameters were always statistically significant (Student’s t-test, α = 0.05), the equations were consistent (Fisher’s F-test) and the goodness of fit (adj R2, adjusted coefficient of multiple determination) were up to 0.98.(Download PDF) (Export to EndNotes)