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Cancer BiologybioRxiv
Preprint

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

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

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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