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 en Jefe: Arkadiy A. Chikriy (open in a new tab)

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

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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

Volumen 41, Edición 8, 2009, pp. 24-37

DOI: 10.1615/JAutomatInfScien.v41.i8.30

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

Igor Ye. Andrushchak
Lutsk Technical University, Lutsk

SINOPSIS

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.

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

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