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COMPARISON OF MATHEMATICAL MODELS FOR THE USE OF ENROFLOXACIN IN DOGS
Author(s) -
Miroslav Vasilev,
Galya Shivacheva
Publication year - 2019
Publication title -
applied researches in technics technologies and education
Language(s) - English
Resource type - Journals
eISSN - 1314-8796
pISSN - 1314-8788
DOI - 10.15547/artte.2019.02.004
Subject(s) - akaike information criterion , enrofloxacin , mathematics , ordinary differential equation , differential equation , differential (mechanical device) , process (computing) , statistics , mathematical analysis , computer science , chemistry , thermodynamics , physics , antibiotics , biochemistry , ciprofloxacin , operating system
This article analyzes the process of changing the concentration of enrofloxacin in blood plasma in dogs after a single intravenous injection of the substance. Three mathematical models are proposed algebraic and two models, based on a differential equation of first and second order. Identification of their parameters has been performed. Based on Akaike information criterion corrected as the best model was chosen the represented by a second-order differential equation. Three equations are identified and the exact numerical values of their parameters are obtained. For the evaluation and comparison of the three models, Akaike information criterion was used. The best results showed the second-order differential model. It will be used in future developments.

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