| Abstract: |
| In this talk I will introduce a reaction-diffusion system modelling tumor invasion. The underlying partial differential equation system has cross-diffusion and density-dependent diffusion coefficient and involves the interactions of three quantities: tumor tissue density, acid concentration and normal tissue density. The most distinguished feature of this model is that the diffusion of tumor cells is influenced by the density of normal cells and diffusion degeneracy arises when normal cells are at their carrying capacity. Therefore, this system is strongly coupled and might be degenerate. I will review the known mathematical results of this system and present our new results of this system. |
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