Title :
Domain of attraction computation for tumor dynamics
Author :
Doban, Alina I. ; Lazar, Mircea
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
In this paper we propose the use of rational Lyapunov functions to estimate the domain of attraction of the tumor dormancy equilibrium of immune cells-malignant cells interaction dynamics. A procedure for computing rational Lyapunov functions is worked out, with focus on obtaining a meaningful domain of attraction for the considered tumor dynamics. A valid, nonconvex domain of attraction was obtained, which is consistent with non-trivial tumor evolutions from real-life.
Keywords :
Lyapunov methods; cellular biophysics; concave programming; evolutionary computation; tumours; domain of attraction computation; immune cells-malignant cells interaction dynamics; nonconvex domain of attraction; nontrivial tumor evolution; rational Lyapunov function; tumor dormancy equilibrium; tumor dynamics; Cancer; Direction-of-arrival estimation; Level set; Lyapunov methods; Sociology; Tumors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040487
