DocumentCode
612464
Title
Existence and uniqueness of weak solutions for a coupled mathematical model of tumor invasive process
Author
Li Zhang ; Shu Tang Liu
Author_Institution
Bus. Sch., Shandong Univ. of Political Sci. & Law, Jinan, China
fYear
2013
fDate
25-28 May 2013
Firstpage
688
Lastpage
692
Abstract
We concern a coupled system of nonlinear partial differential equations modeling the invasive tumor growth of the malignant brain tumor glioblastoma multiforme. When a nonlinear term represents the proliferation rate of the tumor cells, the existence and uniqueness of weak solutions for this system are proved by the Schauder fixed-point theorem and duality technique.
Keywords
brain models; cancer; cellular biophysics; nonlinear differential equations; partial differential equations; reaction-diffusion systems; tumours; Schauder fixed-point theorem; coupled mathematical model; duality technique; invasive tumor growth; malignant brain tumor glioblastoma multiforme; nonlinear partial differential equations; proliferation rate; weak solutions; Biological system modeling; Brain modeling; Cancer; Educational institutions; Equations; Mathematical model; Tumors; Existence; Reaction-diffusion system; Tumor growth; Uniqueness; Weak solution;
fLanguage
English
Publisher
ieee
Conference_Titel
Complex Medical Engineering (CME), 2013 ICME International Conference on
Conference_Location
Beijing
Print_ISBN
978-1-4673-2970-5
Type
conf
DOI
10.1109/ICCME.2013.6548338
Filename
6548338
Link To Document