Year: 2017
Author: Zejia Wang, Jianlei Xu, Jinghua Li
Communications in Mathematical Research , Vol. 33 (2017), Iss. 1 : pp. 85–96
Abstract
This paper is concerned with the bifurcation analysis for a free boundary problem modeling the growth of solid tumor with inhibitors. In this problem, surface tension coefficient plays the role of bifurcation parameter, it is proved that there exists a sequence of the nonradially stationary solutions bifurcate from the radially symmetric stationary solutions. Our results indicate that the tumor grown in vivo may have various shapes. In particular, a tumor with an inhibitor is associated with the growth of protrusions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.01.09
Communications in Mathematical Research , Vol. 33 (2017), Iss. 1 : pp. 85–96
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: free boundary problem bifurcation analysis solid tumor