DocumentCode
116422
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
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
6987
Lastpage
6992
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7040487
Filename
7040487
Link To Document