论文标题
肿瘤生长与营养：肿瘤斑块的稳定性
Tumor growth with nutrients: stability of the tumor patches
论文作者
论文摘要
在本文中，我们研究了具有养分的肿瘤生长模型。模型中呈现的肿瘤细胞的接触抑制导致拥挤的肿瘤斑块的演变。我们研究肿瘤斑块的规律性，因为营养素的扩散强度$ d $降低。特别是，我们表明，对于小$ d> 0 $，肿瘤斑块的边界停留在以$ d = 0 $获得的光滑肿瘤斑块边界的一个小社区中，相对于Hausdorff距离均匀。
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.
