DOI: https://doi.org/10.14710/jfma.v8i1.24852

TWO-COMPARTMENT PHARMACOKINETIC MODELS WITH SINGLE AND DOUBLE ELIMINATION RATES FOR ORAL ADMINISTRATION OF TWO DRUGS

Rhenata Juwita  -  Universitas Islam Negeri Sunan Gunung Djati, Indonesia
*Diny Zulkarnaen orcid scopus  -  Universitas Islam Negeri Sunan Gunung Djati, Indonesia
Mia Siti Khumaeroh  -  Universitas Islam Negeri Sunan Gunung Djati, Indonesia

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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.
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Keywords: Pharmacokinetics model, Wagner-Nelson method, parameter estimation, Laplace transform.

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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