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A nondegenerate convective-reaction-density-dependent diffusion model of in vitro glioblastoma tumor growth

Stepien, T. L.; Rutter, E. M.; Kuang, Y.

2020-03-12 cancer biology
10.1101/2020.03.12.988832 bioRxiv
Show abstract

We propose a model for in vitro glioblastoma multiforme brain tumor growth, which uses density-dependent diffusion to capture both the proliferative and migratory behavior of the cancer cells. The model is compared to well-known experimental data and is analyzed for the existence of traveling wave solutions.

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