Article ID Journal Published Year Pages File Type
5024504 Nonlinear Analysis: Real World Applications 2017 20 Pages PDF
Abstract
We consider a free boundary tumor model with vasculature which supply nutrients to the tumor, so that ∂σ∂n+β(σ−σ¯)=0 holds on the boundary, where a positive constant β is the rate of nutrient supply to the tumor and σ¯ is the nutrient concentration outside the tumor. The tumor cells proliferate at a rate μ. We show that for each μ2,μ4,μ6,μ8,⋯, symmetry-breaking stationary solutions bifurcate from the radially symmetric stationary solutions.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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