@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} }