Bifurcation Analysis for a Free Boundary Problem Mo deling Growth of Solid Tumor with Inhibitors |
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Authors: | Wang Ze-jia Xu Jian-lei Li Jing-hua |
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Institution: | College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022 |
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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. |
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Keywords: | free boundary problem bifurcation analysis solid tumor |
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