2023/10/09 by Inwon Kim, Jona Lelmi · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Caveolin-1 and cellular processes #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth
paper · doi:10.1137/22m1542222
crossref issued 2023/10/09 · crossref published 2023/10/09 · crossref published-online 2023/10/09 · openalex publication_date 2023/10/09 · crossref created 2023/10/09 · crossref published-print 2023/10/31 · crossref deposited 2023/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03 · crossref indexed 2026/08/03
.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 \(D\gt 0\) 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.Keywordstumor growthcongested dynamicsstabilityWassersteinMSC codes35B6535Q92