Abstract

Objective: To provide a further example showing a successful use of an advanced mathematical modeling method based on the theory of dynamic systems in pharmacokinetics. Method: The use of the method considered here was exemplified by modeling the formation of 7-hydroxymethotrexate (7OH-MTX) from methotrexate (MTX) in patients undergoing treatment for psoriasis with MTX. Results: The metabolic ratios of MTX to 7OH-MTX in plasma were constant during the first three months of the treatment of the patients for psoriasis. However, the mean time of formation of 7OH-MTX from MTX increased from 9.35 h to 15.59 h, and the rate of the formation of 7OH-MTX from MTX decreased from 0.5 l/h to 0.29 l/h during the same time interval. Conclusions: The advanced mathematical modeling method used in the current study is universal. Therefore, it can be used to develop mathematical models not only in pharmacokinetics but also in several scientific and practical fields.

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