Tumor growth with nutrients: stability of the tumor patches

2022/11/30 by Kim, Inwon, Lelmi, Jona · 1 citation
#35B65 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.17133

Abstract

In this paper, we study a tumor growth model with nutrients. The contact inhibition for the tumor cells, presented in the model, results in the evolution of a congested tumor patch. We study the regularity of the tumor patch as the nutrients' diffusion strength D diminishes. In particular, we show that for small D>0 the boundary of the tumor patch stays in a small neighborhood of the smooth tumor patch boundary obtained with D=0, uniformly with respect to the Hausdorff distance.

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