Bifurcation analysis for a free-boundary tumor model with angiogenesis and inhibitor-Reference-Cited by-同舟云学术

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Bifurcation analysis for a free-boundary tumor model with angiogenesis and inhibitor

Published:2018-06-14 Issue:1 Volume:2018 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Wang Zejia,Song Huijuan,Xu Suzhen

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangxi Province, China

Science and Technology Planning Project from Educational Commission of Jiangxi Province, China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-018-1014-y.pdf

Reference29 articles.

1. Araujo, R.P., McElwain, D.L.S.: A history of the study of solid tumour growth: the contribution of mathematical modeling. Bull. Math. Biol. 66, 1039–1091 (2004)

2. Cui, S.: Free boundary problems modeling tumor growth. Adv. Math. 38, 1–18 (2009)

3. Friedman, A.: A hierarchy of cancer models and their mathematical challenges. Discrete Contin. Dyn. Syst., Ser. B 4, 147–159 (2004)

4. Friedman, A.: Cancer models and their mathematical analysis. In: Friedman, A. (ed.) Tutorials in Mathematical Biosciences III, pp. 223–246. Springer, Berlin (2006)

5. Friedman, A.: Mathematical analysis and challenges arising from models of tumor growth. Math. Models Methods Appl. Sci. 17, 1751–1772 (2007)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bifurcation analysis of a free boundary problem modeling multilayered tumor growth with time delay;Journal of Differential Equations;2023-11

2. Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors;Journal of Differential Equations;2023-08

3. Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes;Journal of Differential Equations;2020-03

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