Selection of the Mathematical Model for the Use of Enrofloxacin in Cats

Abstract

The process of changing the concentration of enrofloxacin in blood plasma in cats after single intravenous injection was identified by three mathematical models -algebraic and two models represented respectively by a first order differential equation and a second order differential equation. In order to select the best model of the three, the Akaike information criterion corrected is used. With the most identification parameters differs the model based on a second-order differential equation. The lowest value of the Akaike information criterion corrected was also obtained with it. This fact gives reason to choose it for the best model for describing the research process. 298 CONCLUSIONThe process of change in the concentration of the drug enrofloxacin in the blood plasma of cats after a single intravenous injection was identified by three mathematical modelsalgebraic, first-order differential and second-order differential. The corrected Akayke information criterion was used to select the "optimal" model. Its lowest value is obtained in a mathematical model based on a second order differential equation and different from the other two with more identification parameters -three in number. ARTTEApplied Researches in Technics, Technologies and Education