On Two-Compartment Pharmacokinetic Model with Delay on the Basis of the Michaelis&minus;Menten Dynamics: Decomposition Method

Vasiliy P. Martsenyuk; Igor Ye. Andrushchak

doi:10.1615/JAutomatInfScien.v41.i8.30

Journal of Automation and Information Sciences

Editor-in-Chief: Arkadiy A. Chikriy (open in a new tab)

Associate Editors: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

Indexed in

On Two-Compartment Pharmacokinetic Model with Delay on the Basis of the Michaelis−Menten Dynamics: Decomposition Method

Volume 41, Issue 8, 2009, pp. 24-37

DOI: 10.1615/JAutomatInfScien.v41.i8.30

Get access

Vasiliy P. Martsenyuk
Ternopol State I.Ya. Gorbachevskiy Medical University, Ukraine

Igor Ye. Andrushchak
Lutsk Technical University, Lutsk

ABSTRACT

Two-compartment pharmacokinetic model is offered, in which for description of drug flow between compartments the Michaelis−Menten dynamics and time delay, caused by biological transformations delays, are used. Search of approximated solution of the system of equations is done by the decomposition method based on the Adominian polynomials.

KEY WORDS: two-compartment pharmacokinetic model, drug flow between compartments, Michaelis-Menten dynamics, time delay, approximated solution, decomposition method, Adominian polynomials

403 Article views 8 Article downloads Metrics

403 VIEWS 8 DOWNLOADS Google
Scholar CITATIONS

Articles with similar content:

INVESTIGATING DIFFERENT WCSPH DISCRETIZATION METHODS USED FOR WEDGE IMPACT PROBLEMS International Journal of Fluid Mechanics Research, Vol.49, 2022, issue 4
Jafar Gerdabi, Mohammad A. Esmaeili-Sikarudi, Amir H. Nikseresht

Sensitivity of Multidimensional Discrete Linear Models with Delays Journal of Automation and Information Sciences, Vol.28, 1996, issue 3-4
A.I. Ruban

Validation of a Hybrid Navier-Stokes/DSMC Method for Multiscale Transient and Steady-State Gas Flows International Journal for Multiscale Computational Engineering, Vol.6, 2008, issue 1
Giannandrea Abbate, Barend J. Thijsse, Chris R. Kleijn

A MULTIZONE ADAPTIVE PARALLEL SCHEME FOR SOLIDIFICATION IN A RECTANGULAR CAVITY International Heat Transfer Conference 11, Vol.20, 1998, issue
W. K. Chui, James Glimm, Yang Qiangsheng , F. Tangerman , V. Prasad, R. K. Sahoo, H. Zhang

MODELING THE NONLINEAR FLOW BEHAVIOR FOR HORIZONTAL WELL PRODUCTION IN AN UNDERGROUND POROUS-MEDIA FORMATION Journal of Porous Media, Vol.18, 2015, issue 1
Cong Lu, Jianchun Guo, Dan-Ling Wang, Ren-Shi Nie

Latest Issue

Modeling of Configurations Formed when Using Microneedle Systems Gennadiy V. Sandrakov , Sergey I. Lyashko, Elena S. Bondar , Nataliya I. Lyashko , Vladimir V. Semenov Properties of Large Deviations of Empirical Estimates in a Stochastic Optimization Problem for a Homogeneous Random Field Pavel S. Knopov, Evgeniya J. Kasitskaya The Dynamics of One Arms Race Mathematical Model with a Delay Andrey V. Shatyrko, Denis Ya. Khusainov, Bedrik Puzha , Veronika Novotna Some Ways to Modeling Input Data for Information Search in the Library of Standards when Solving Semantics Problems Nadezhda K. Tymofijeva Method for Constructing Primitive Polynomials for Cryptographic Subsystems of Dependable Automated Systems Gennadiy N. Gulak Complete Asymptotics of Approximations by Certain Singular Integrals in Mathematical Modeling Konstantin N. Zhyhallo Index, Volume 52, 2020