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REVISTA DE CHIMIE
Cite as: Rev. Chim.
https://doi.org/10.37358/Rev.Chim.1949

OSIM Nr. R102355
ISSN Online 2668-8212
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Revista de Chimie (Rev. Chim.), Year 2010, Volume 61, Issue 10,





Laurian Vlase, Marius Socol, Anca Ciurte, Dana Muntean, Ioan BAldea, Sorin E. Leucuta
Carbamazepine Kinetic Model Solved by a New Flow Graph Method

Abstract:

We have proposed an alternative method based on flow graph principles for solving the linear homogenous differential equation systems with constant coefficients used in kinetic analysis, no matter the number of the unknowns is. The classical method for solving these systems using flow graphs entails Laplace transforms before depicting a flow graph and the reverse transformation after using the Mason’s rules for calculus. Our method avoids the complicated calculus using Laplace transforms simplifying the graphing algorithm and permits to find the analytical solutions directly by inspecting the pharmaco-kinetic mechanism. Both methods provide the analytical solutions, eliminating the error propagation occurring in the numerical analysis. The numerical analysis and the alternative flow graph method were applied to a pharmacokinetic model (involving parent drug and metabolite kinetics, pre- and systemic metabolism, distribution) and the corresponding pharmaco-kinetic parameters have been compared. Keywords: flow graph, pharmacokinetics, carbamazepine, differential equation system

Issue: 2010, Volume 61, Issue 10
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