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摘要
In this article, we study a mathematical model for glioma cells outside tumor spheroid core. It contains matrix metalloproteases and nutrient concentrations, and takes into account of the effects of chemotaxis, haptotaxis, cell-cell adhesion, proliferation and shedding. The model consists of three semi-linear parabolic partial differential equations and an ordinary differential equation. By using the Banach fixed point theorem, the parabolic L-p-theory, the parabolic Schauder estimates and the extension method, we prove that this system has a unique global solution.
- 出版日期2013-7-1
- 单位广东工业大学
