TY  - JOUR
AU  - Rigatos, G.
TI  - Nonlinear optimal control for the multi-variable tumor-growth dynamics
JF  - COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
J2  - COMPUT METHOD BIOMEC
VL  - 28
PY  - 2023
IS  - 4
SP  - 529
EP  - 557
PG  - 29
SN  - 1025-5842
DO  - 10.1080/10255842.2023.2297660
UR  - https://m2.mtmt.hu/api/publication/36138196
ID  - 36138196
AB  - The multivariable tumor-growth dynamic model has been widely used to describe the inhibition of tumor-cells proliferation under the simultaneous infusion of multiple chemotherapeutic drugs. In this article, a nonlinear optimal (H-infinity) control method is developed for the multi-variable tumor-growth model. First, differential flatness properties are proven for the associated state-space description. Next, the state-space description undergoes approximate linearization with the use of first-order Taylor series expansion and through the computation of the associated Jacobian matrices. The linearization process takes place at each sampling instant around a time-varying operating point which is defined by the present value of the system's state vector and by the last sampled value of the control inputs vector. For the approximately linearized model of the system a stabilizing H-infinity feedback controller is designed. To compute the controller's gains an algebraic Riccati equation has to be repetitively solved at each time-step of the control algorithm. The global stability properties of the control scheme are proven through Lyapunov analysis. Finally, the performance of the nonlinear optimal control method is compared against a flatness-based control approach.
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Siket, Máté
AU  - Eigner, György
AU  - Kovács, Levente
TI  - Sensitivity and identifiability analysis of a third-order tumor growth model
T2  - 2020 IEEE 15th International Conference of System of Systems Engineering (SoSE 2020)
PB  - Institute of Electrical and Electronics Engineers (IEEE)
CY  - Piscataway (NJ)
SN  - 9781728180519
PY  - 2020
SP  - 417
EP  - 421
PG  - 5
DO  - 10.1109/SoSE50414.2020.9130530
UR  - https://m2.mtmt.hu/api/publication/31620010
ID  - 31620010
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Siket, Máté
AU  - Eigner, György
AU  - Drexler, Dániel András
AU  - Rudas, Imre
AU  - Kovács, Levente
TI  - State and Parameter Estimation of a Mathematical Carcinoma Model under Chemotherapeutic Treatment
JF  - APPLIED SCIENCES-BASEL
J2  - APPL SCI-BASEL
VL  - 10
PY  - 2020
IS  - 24
PG  - 17
SN  - 2076-3417
DO  - 10.3390/app10249046
UR  - https://m2.mtmt.hu/api/publication/31799283
ID  - 31799283
LA  - English
DB  - MTMT
ER  -