Title :
Control theoretic approach to combined anticancer therapies
Author_Institution :
Dept. of Autom. Control, Silesian Univ. of Technol., Gliwice, Poland
Abstract :
A model of a combination of antiangiogenic treatment and chemotherapy is proposed and analyzed. The model is a modified Hahnfeldt model and the analysis has two goals: first of all we check stability of the equilibrium point of the model to find conditions leading to tumour eradication for constant dosing and periodic treatment then we propose an optimization problem and give necessary conditions of its solution. We discuss modifications of the model which enable more realistic description of treatment effects.
Keywords :
medical control systems; optimisation; patient treatment; antiangiogenic treatment; anticancer therapies; chemotherapy; constant dosing; control theoretic approach; modified Hahnfeldt model; optimization problem; periodic treatment; tumour eradication; Analytical models; Cancer; Drugs; Equations; Mathematical model; Tumors;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4577-0912-8
DOI :
10.1109/MMAR.2011.6031364
