Tumor Growth with Nutrients: Regularity and Stability
Analysis of PDEs
2022-04-18 v1
Abstract
In this paper we study a tumor growth model with nutrients. The model presents dynamic patch solutions due to the contact inhibition among the tumor cells. We show that when the nutrients do not diffuse and the cells do not die, the tumor density exhibits regularizing dynamics. In particular, we provide contraction estimates, exponential rate of asymptotic convergence, and boundary regularity of the tumor patch. These results are in sharp contrast to the models either with nutrient diffusion or with death rate in tumor cells.
Cite
@article{arxiv.2204.07572,
title = {Tumor Growth with Nutrients: Regularity and Stability},
author = {Matt Jacobs and Inwon Kim and Jiajun Tong},
journal= {arXiv preprint arXiv:2204.07572},
year = {2022}
}