Title :
A Mathematical Model of Tumors Attacked by the Immune System
Author :
Li Lin ; Zhang Jian
Author_Institution :
Sch. of Biomed. Eng., Capital Med. Univ., Beijing
Abstract :
A mathematical model with a time delay of tumors attacked by the immune system is studied. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibra, and global stability are analyzed. The conditions under which the equilibrium is globally stable are given and the criteria for existence of bifurcation will be shown.
Keywords :
bifurcation; delays; physiological models; tumours; bifurcation; immune system; mathematical model; time delay; tumors; Bifurcation; Biomedical engineering; Delay effects; Equations; Immune system; Kinetic theory; Mathematical analysis; Mathematical model; Neoplasms; Stability;
Conference_Titel :
Bioinformatics and Biomedical Engineering, 2008. ICBBE 2008. The 2nd International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-1747-6
Electronic_ISBN :
978-1-4244-1748-3
DOI :
10.1109/ICBBE.2008.245
