Identification of an anticancerous drug model in brain tissues using Adomian/Alienor methods

In this paper, non‐linear compartment modelling is used to study drug transport of anticancerous substance across brain tissues. The aim of the work is to identify the pharmacokinetic parameters of the model created.

A combination of the Adomian decomposition method and the Alienor reducing transformation method were used to solve the identification problem as if it were a classical one‐dimensional minimization problem.

The numerical results using this methodology have shown that local therapeutic method should be preferred, when it comes to evaluate the rate (of healthy cells/cancerous cells), especially when, somehow, the drug transition into the tumour is speeded up. The combination method of Adomian and Alienor proved a successful strategy, and could take into account many of the pharmacokinetic parameters as necessary and use well‐known algorithms.

It is believed that this modest work can be considered as preliminary steps for improving local drug administration.

The study has shown that pharmacokinetic/pharmacodynamic modelling can help to understand the drug behaviour in such complex media and hence avoid the most threatening side effects by predicting the toxicity threshold of a drug and therefore minimize the therapeutic index.

Shows the powerful tools of Adomian and Alienor techniques that can be applied successfully in biomedical applications.