Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical Model
The aim of this paper was to design a repeated drug administration strategy to reach and maintain the requested drug concentration in the body. Conservative designs require an exact knowledge of pharmacokinetic parameters, which is considered an unrealistic demand. The problem is usually resolved us...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-08-01
|
| Series: | Bioengineering |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2306-5354/10/8/921 |
| _version_ | 1797585444041392128 |
|---|---|
| author | Zuzana Vitková Martin Dodek Eva Miklovičová Jarmila Pavlovičová Andrej Babinec Anton Vitko |
| author_facet | Zuzana Vitková Martin Dodek Eva Miklovičová Jarmila Pavlovičová Andrej Babinec Anton Vitko |
| author_sort | Zuzana Vitková |
| collection | DOAJ |
| description | The aim of this paper was to design a repeated drug administration strategy to reach and maintain the requested drug concentration in the body. Conservative designs require an exact knowledge of pharmacokinetic parameters, which is considered an unrealistic demand. The problem is usually resolved using the trial-and-error open-loop approach; yet, this can be considered insufficient due to the parametric uncertainties as the dosing strategy may induce an undesired behavior of the drug concentrations. Therefore, the presented approach is rather based on the paradigms of system and control theory. An algorithm was designed that computes the required doses to be administered based on the blood samples. Since repeated drug dosing is essentially a discrete time process, the entire design considers the discrete time domain. We have also presented the idea of applying this methodology for the stabilization of an unstable model, for instance, a model of tumor growth. The simulation experiments demonstrated that all variants of the proposed control algorithm can reach and maintain the desired drug concentration robustly, i.e., despite the presence of parametric uncertainties, in a way that is superior to that of the traditional open-loop approach. It was shown that the closed-loop control with the integral controller and stabilizing state feedback is robust against large parametric uncertainties. |
| first_indexed | 2024-03-11T00:06:20Z |
| format | Article |
| id | doaj.art-3dc91dec66bf49b6a8057bdcef748d81 |
| institution | Directory Open Access Journal |
| issn | 2306-5354 |
| language | English |
| last_indexed | 2024-03-11T00:06:20Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Bioengineering |
| spelling | doaj.art-3dc91dec66bf49b6a8057bdcef748d812023-11-19T00:17:53ZengMDPI AGBioengineering2306-53542023-08-0110892110.3390/bioengineering10080921Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical ModelZuzana Vitková0Martin Dodek1Eva Miklovičová2Jarmila Pavlovičová3Andrej Babinec4Anton Vitko5Institute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 841 04 Bratislava, SlovakiaInstitute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 841 04 Bratislava, SlovakiaInstitute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 841 04 Bratislava, SlovakiaInstitute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 841 04 Bratislava, SlovakiaInstitute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 841 04 Bratislava, SlovakiaInstitute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 841 04 Bratislava, SlovakiaThe aim of this paper was to design a repeated drug administration strategy to reach and maintain the requested drug concentration in the body. Conservative designs require an exact knowledge of pharmacokinetic parameters, which is considered an unrealistic demand. The problem is usually resolved using the trial-and-error open-loop approach; yet, this can be considered insufficient due to the parametric uncertainties as the dosing strategy may induce an undesired behavior of the drug concentrations. Therefore, the presented approach is rather based on the paradigms of system and control theory. An algorithm was designed that computes the required doses to be administered based on the blood samples. Since repeated drug dosing is essentially a discrete time process, the entire design considers the discrete time domain. We have also presented the idea of applying this methodology for the stabilization of an unstable model, for instance, a model of tumor growth. The simulation experiments demonstrated that all variants of the proposed control algorithm can reach and maintain the desired drug concentration robustly, i.e., despite the presence of parametric uncertainties, in a way that is superior to that of the traditional open-loop approach. It was shown that the closed-loop control with the integral controller and stabilizing state feedback is robust against large parametric uncertainties.https://www.mdpi.com/2306-5354/10/8/921pharmacokineticscompartmental modelsclosed loop controlrepeated drug administrationrobust control |
| spellingShingle | Zuzana Vitková Martin Dodek Eva Miklovičová Jarmila Pavlovičová Andrej Babinec Anton Vitko Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical Model Bioengineering pharmacokinetics compartmental models closed loop control repeated drug administration robust control |
| title | Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical Model |
| title_full | Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical Model |
| title_fullStr | Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical Model |
| title_full_unstemmed | Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical Model |
| title_short | Robust Control of Repeated Drug Administration with Variable Doses Based on Uncertain Mathematical Model |
| title_sort | robust control of repeated drug administration with variable doses based on uncertain mathematical model |
| topic | pharmacokinetics compartmental models closed loop control repeated drug administration robust control |
| url | https://www.mdpi.com/2306-5354/10/8/921 |
| work_keys_str_mv | AT zuzanavitkova robustcontrolofrepeateddrugadministrationwithvariabledosesbasedonuncertainmathematicalmodel AT martindodek robustcontrolofrepeateddrugadministrationwithvariabledosesbasedonuncertainmathematicalmodel AT evamiklovicova robustcontrolofrepeateddrugadministrationwithvariabledosesbasedonuncertainmathematicalmodel AT jarmilapavlovicova robustcontrolofrepeateddrugadministrationwithvariabledosesbasedonuncertainmathematicalmodel AT andrejbabinec robustcontrolofrepeateddrugadministrationwithvariabledosesbasedonuncertainmathematicalmodel AT antonvitko robustcontrolofrepeateddrugadministrationwithvariabledosesbasedonuncertainmathematicalmodel |