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All Journal Journal of Fundamental Mathematics and Applications (JFMA)
Juwita, Rhenata
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Decision Sciences, Operations Research & Management

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TWO-COMPARTMENT PHARMACOKINETIC MODELS WITH SINGLE AND DOUBLE ELIMINATION RATES FOR ORAL ADMINISTRATION OF TWO DRUGS Juwita, Rhenata; Zulkarnaen, Diny; Khumaeroh, Mia Siti
Journal of Fundamental Mathematics and Applications (JFMA) Vol 8, No 1 (2025)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v8i1.24852

Abstract

This paper presents two pharmacokinetic models with two compartments, incorporating both single and double elimination rates for the oral administration of two drugs. The models allow for the estimation of the absorption, distribution, and elimination rate constants. This estimation is performed in two phases based on the time intervals. The first phase estimates the distribution and elimination rates using concentration data from larger time data points, employing residual techniques and least squares error. In contrast, the absorption rate estimation is conducted using the Wagner-Nelson method for smaller time intervals. Prior to these estimations, an analytical solution is required, for which Laplace transformation is utilized. Finally, graphical simulations are performed to observe the dynamics of drug concentrations throughout the processes of absorption, distribution, and elimination. Additionally, these simulations facilitate a comparison between the actual data of drug concentrations in each compartment and their respective approximations.
Co-Authors Diny Zulkarnaen, Diny Khumaeroh, Mia Siti