Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Zheng, Jiayue¹  Xing, Ruixiang¹ 

[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

关键词: Tumor growth;    Free boundary problem;    Symmetry-breaking bifurcation;    Nonlinear elliptic equation;   

DOI  :  10.1016/j.jde.2019.09.055

来源: Elsevier

【 摘 要 】

We study a free boundary problem modeling solid tumor growth with ECM and MDE interactions. The production rate of MDE by tumor cells is a nonlinear function depending on nutrients and MDE. This nonlinear term is more complicated. For this model, we can not give the explicit expressions or integral expressions for MDE terms while we only get the existence and uniqueness. At first, we show the existence and the uniqueness of radially symmetric stationary solutions. Then the existence of symmetry-breaking solutions bifurcating from the radially symmetric stationary solutions is obtained. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free