Abstract
Objectives: The main objective of the current study was to present a further example which showed that a nontraditional mathematical modeling method can be advantageously used for the development of mathematical models in pharmacokinetics. An additional objective was to motivate researchers working in the field of pharmacokinetics to use a modeling method based on the theory of dynamic systems in their research work. Method: The current study is a companion piece of the earlier study by Kramer et al. Therefore the data published in the study cited here were used. As stated above, an advanced modeling method based on the theory of dynamic systems was employed. Conclusions: All mathematical models developed, successfully described the data of all volunteers investigated in the previous study by Kramer et al. and in the current study. The modeling method used in the current study is universal, comprehensive, and flexible. Therefore, it can be used to developed mathematical models not only in pharmacokinetics but also in several other scientific and practical fields.
Highlights
Digoxin is widely used in clinical practice for treatment of congestive heart failure (CHF) and atrial fibrillation (AF) or an acute coronary syndrome (ACS) [1,2,3,4]
The current study is a companion piece of the previous study by Kramer et al [1], the data published in the previous study by Kramer et al [1] are used, with the main objective to provide a further example which shows a successful use of an advanced mathematical modeling method based on the theory of dynamic systems in mathematical modeling in pharmacokinetics [5,6,7,8,9,10,11,12,13,14,15,16]
An advanced mathematical modeling method based on the theory of dynamic systems was employed to develop mathematical models of the pharmacokinetic behavior of digoxin in the volunteers investigated in the previous study by Kramer et al [1], and in the current study
Summary
Digoxin is widely used in clinical practice for treatment of congestive heart failure (CHF) and atrial fibrillation (AF) or an acute coronary syndrome (ACS) [1,2,3,4]. The current study is a companion piece of the previous study by Kramer et al [1], the data published in the previous study by Kramer et al [1] are used, with the main objective to provide a further example which shows a successful use of an advanced mathematical modeling method based on the theory of dynamic systems in mathematical modeling in pharmacokinetics [5,6,7,8,9,10,11,12,13,14,15,16]. Previous examples presenting an advantageous use of the modeling method used in the current study can be found in the articles available online, which can be downloaded free of cost from the following web pages of the author: http://www.uef.sav.sk/durisova.htm and http://www.uef.sav.sk/advanced.htm. The current study continued to inform pharmacokinetic community about benefits linked to the use of computational tools from the theory of dynamic systems in mathematical modeling in pharmacokinetics
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