无压缩极限下的年龄结构肿瘤模型
Incompressible limit for an age-structured tumor model
AI总结：
本文研究了年龄结构肿瘤模型在无压缩极限下的收敛性，揭示了其与Hele-Shaw自由边界问题的关联。
摘要：
本文考虑了一个考虑肿瘤细胞生命周期的年龄结构机械模型。该模型通过引入年龄变量来考虑肿瘤生长的过程。肿瘤生长的基本过程与经典肿瘤模型相同，即生长由压力限制的细胞增殖和细胞远离高压区域的过程驱动。本文的主要贡献是建立年龄结构模型的解收敛到一个满足Hele-Shaw自由边界问题的极限。该极限问题描述了肿瘤根据非线性达西定律生长时的几何运动。
英文摘要：
In this paper, we consider an age-structured mechanical model for tumor growth. This model takes into account the life-cycle of tumor cells by including an age variable. The underlying process for tumor growth is the same as classical tumor models, where growth is driven by pressure-limited cell proliferation, and cell movement away from regions of high pressure. The main contribution of this paper is establishing the convergence of solutions of the age-structured model to a limit satisfying a Hele-Shaw free boundary problem. This limiting problem describes the geometric motion of the tumor as it grows according to a nonlinear Darcy's law.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
