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Volume 33, Issue 1
Bifurcation Analysis for a Free Boundary Problem Modeling Growth of Solid Tumor with Inhibitors

Zejia Wang, Jianlei Xu & Jinghua Li

Commun. Math. Res., 33 (2017), pp. 85-96.

Published online: 2019-12

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  • 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.

  • AMS Subject Headings

35B35, 35K35, 35Q80

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zejiawang@jxnu.edu.cn (Zejia Wang)

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@Article{CMR-33-85, author = {Wang , ZejiaXu , Jianlei and Li , Jinghua}, title = {Bifurcation Analysis for a Free Boundary Problem Modeling Growth of Solid Tumor with Inhibitors}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {1}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.01.09}, url = {http://global-sci.org/intro/article_detail/cmr/13448.html} }
TY - JOUR T1 - Bifurcation Analysis for a Free Boundary Problem Modeling Growth of Solid Tumor with Inhibitors AU - Wang , Zejia AU - Xu , Jianlei AU - Li , Jinghua JO - Communications in Mathematical Research VL - 1 SP - 85 EP - 96 PY - 2019 DA - 2019/12 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.01.09 UR - https://global-sci.org/intro/article_detail/cmr/13448.html KW - free boundary problem, bifurcation analysis, solid tumor AB -

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.

Ze-jia Wang, Jian-lei Xu & Jing-hua Li. (2019). Bifurcation Analysis for a Free Boundary Problem Modeling Growth of Solid Tumor with Inhibitors. Communications in Mathematical Research . 33 (1). 85-96. doi:10.13447/j.1674-5647.2017.01.09
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