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- Title
具有Robin自由边界的坏死核双曲型 肿瘤生长模型的定性分析.
- Authors
胡蝶; 卫雪梅; 冯兆永; 刘成霞
- Abstract
The necrotic hyperbolic tumor growth model with Robin free boundary is studied. The model contains an elliptic equation describing the diffusion of nutrient in the tumor,an ordinary differential equation describing tumor radius,and three nonlinear first-order hyperbolic partial differential equations describing the evolution of proliferating cells,quiescent cells and dead cells,respectively. By applying the characteristic theory of hyperbolic equations and the Banach fixed point theorem,the existence and uniqueness of the global solution of the model are proved. It is proven that... R(t) = +∞ in the case KR = 0.
- Publication
Acta Scientiarum Naturalium Universitatis Sunyatseni / Zhongshan Daxue Xuebao, 2021, Vol 60, Issue 6, p150
- ISSN
2097-0137
- Publication type
Article
- DOI
10.13471/j.cnki.acta.snus.2021A006