Pharmacokinetic parameters identification using the combined Alienor/Adomian methods
Abstract
Purpose
A two‐compartmental open model to study metabolism/elimination that arise in clinical observation and pharmacokinetics, is presented. The purpose of this work is to show how it is possible to combine the two methods of Alienor and Adomian with observability identification and controllability principles to optimize drug doses.
Design/methodology/approach
Cliniciansa try to know how to detect patients at high risk of 5‐Fu (intravnous administration). The approach is to use a two‐compartmental open model to study its metabolism/elimination and assume that it has a nonlinear behaviour. The methodology chosen brings together two proven techniques to solve the arising differential system. A case study “5‐Fu pharmacokinetics” provides an illustrative application of the combined methods.
Findings
On the basis of the numerical results obtained in the case study it was found that a chart could be set up for individual dose adjustment according to individual parameters relating to dose and plasma concentration. The use of mathematical modeling in this field was shown to be justified.
Research limitations/implications
This research is especially important in the pharmaceutical industry since it allows the prediction of drug behaviour in the body. In future work, we will consider the controllability of this problem.
Practical implications
Improved mathematical modelling would allow physicians to treat patients in an optimal way without compromising their comfort or safety. The practitioner would need only to follow a specified procedure.
Originality/value
The new procedure will be especially important to the pharmaceutical industry and this methodology, combined with statistical analysis, will help to improve drug benefits.
Keywords
Citation
Zaidi, Z., Bezzina, M. and Cherruault, Y. (2005), "Pharmacokinetic parameters identification using the combined Alienor/Adomian methods", Kybernetes, Vol. 34 No. 7/8, pp. 1142-1158. https://doi.org/10.1108/03684920510605948
Publisher
:Emerald Group Publishing Limited
Copyright © 2005, Emerald Group Publishing Limited