Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/39904
Title: | Pharmacokinetic/Pharmacodynamic Anesthesia Model Incorporating psi-Caputo Fractional Derivatives |
Author: | Zaitri, Mohamed Abdelaziz Zitane, Hanaa Torres, Delfim F. M. |
Keywords: | Pharmacokinetic/Pharmacodynamic model Fractional calculus ψ-Caputo fractional derivative Numerical simulations |
Issue Date: | 2023 |
Publisher: | Elsevier |
Abstract: | We present a novel Pharmacokinetic/Pharmacodynamic (PK/PD) model for the induction phase of anesthesia, incorporating the $\psi$-Caputo fractional derivative. By employing the Picard iterative process, we derive a solution for a nonhomogeneous $\psi$-Caputo fractional system to characterize the dynamical behavior of the drugs distribution within a patient's body during the anesthesia process. To explore the dynamics of the fractional anesthesia model, we perform numerical analysis on solutions involving various functions of $\psi$ and fractional orders. All numerical simulations are conducted using the MATLAB computing environment. Our results suggest that the $\psi$ functions and the fractional order of differentiation have an important role in the modeling of individual-specific characteristics, taking into account the complex interplay between drug concentration and its effect on the human body. This innovative model serves to advance the understanding of personalized drug responses during anesthesia, paving the way for more precise and tailored approaches to anesthetic drug administration. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/39904 |
DOI: | 10.1016/j.compbiomed.2023.107679 |
ISSN: | 0010-4825 |
Publisher Version: | https://doi.org/10.1016/j.compbiomed.2023.107679 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[548]Zaitri-Zitane-Torres.pdf | 851.7 kB | Adobe PDF | View/Open |
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