Discretization and Stability Analysis for a Generalized Type Nonlinear Pharmacokinetic Models-Reference-Cited by-同舟云学术

Discretization and Stability Analysis for a Generalized Type Nonlinear Pharmacokinetic Models

Published:2023-12-01 Issue:4 Volume:36 Page:1675-1691
ISSN:2147-1762
Container-title:Gazi University Journal of Science
language:
Short-container-title:

Author:

KOCABIYIK Mehmet¹^ORCID,YAKIT ONGUN Mevlüde²^ORCID

Affiliation:

1. BURDUR MEHMET AKİF ERSOY ÜNİVERSİTESİ

2. SULEYMAN DEMIREL UNIVERSITY

Abstract

Estimating the effects of drugs at different stages is directly proportional to the duration of recovery and the duration of pulling through with the disease. It is very important to estimate the effects of drugs at different stages. For this reason, solving Pharmacokinetic models which investigate these effects are very important. In this study, numerical solutions of one, two, and three-compartment nonlinear Pharmacokinetic models have been studied. Distributed order differential equations have been used for the solution. Numerical solutions have been found with the density function contained in distributed order differential equations and different values of this function. A nonstandard finite difference scheme has been used for numerical solutions. Finally, stability analyses of equilibrium points of the obtained discretized system have also been researched with the help of the Matignon criterion.

Funder

Scientific and Technological Research Council of Turkey

Publisher

Gazi University Journal of Science

Subject

Multidisciplinary,General Engineering

Reference50 articles.

1. [1] Shargel, L., Yu, A.B.C., “Applied Biopharmaceutics and Pharmacokinetics”, 7th ed., McGraw-Hill, (2017).

2. [2] Michealis, L., Menten, M.L., “Die Kinetik der Invertinwirking”, Biochemische Zeitschrift, 49: 333–369, (1913).

3. [3] Widmark, E., Tandberg, J., “Uber die bedingungen f’tir die Akkumulation Indifferenter Narkoliken Theoretische Bereckerunger”, Biochemische Zeitschrift, 147: 358–369, (1924).

4. [4] Holford, N.H.G., Sheiner, L.B., “Kinetics of pharmacologic response”, Pharmacology and Therapeutics, 16: 143–166, (1982).

5. [5] Beringer, P., Nguyen, M., Hoem, N., Louie, S., Gill, M., Gurevitch, M., Wong-Beringer, A., “Absolute bioavailability and pharmacokinetics of linezolid in hospitalized patients given enteral feedings”. Antimicrobial Agents and Chemotherapy, 49(9): 3676-3681, (2005).