Title :
Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatments
Author :
Ledzewicz, Urszula ; Maurer, Helmut ; Schättler, Heinz
Author_Institution :
Dept. of Math. & Stat., Southern Illinois Univ. Edwardsville, Edwardsville, IL, USA
Abstract :
A mathematical model for the scheduling of a combination of anti-angiogenic and chemotherapeutic agents is considered as a multi-input optimal control problem. Numerical results that are based on an explicit equation for a singular control confirm as optimal a structure of protocols that administer the anti-angiogenic agent according to the optimal monotherapy control and the cytotoxic agent at maximum dose at the end of therapy.
Keywords :
bang-bang control; medical control systems; radiation therapy; singular optimal control; tumours; antiangiogenic treatment; bang-bang control; chemotherapy treatment; cytotoxic agent; multiinput optimal control; optimal monotherapy control; singular control; Biological system modeling; Cancer; Equations; Immune system; Mathematical model; Medical treatment; Neoplasms; Optimal control; Protocols; Statistics;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400735
