Background: Modeling tools from the theory of dynamic systems are not commonly used in pharmacokinetic evaluations.Objective: Therefore, the objective of the current study was to show again that a modeling method employing toolsfrom the theory of dynamic systems can be advantageously used for mathematical modeling in pharmacokinetics.Two examples were given: an example with single dose administration of indomethacin and an example with singledose administration of methotrexate.Methods: An advanced modeling method employing computational and modeling tools from the theory of dynamic systems was used, see the following study: http://www.uef.sav.sk/advanced_files/ref-19.pdf Results: The determined model-based estimates of the main pharmacokinetic parameters of indomethacin were: thehalf-life of elimination were: 4.600 ± 0.080 [hr], clearance: 0.045±0.009 [l/kg/hr]. The metabolic ratio of methotrexate and 7-hydroxymethotrexate was approximately constant, the mean time of the formation of 7-hydroxymethotrexate from methotrexate increased, and the rate of the formation of 7-hydroxymethotrexate decreased, during the first three months of the treatment of the patients with psoriasis with methotrexate. Conclusion: The modeling method used can be employed to model the pharmacokinetics of any drug; when the pharmacokinetic behavior of a drug is a linear process.
