论文标题
两相肿瘤生长模型中的界面动力学
Interface Dynamics in a Two-phase Tumor Growth Model
论文作者
论文摘要
我们研究了两个空间尺寸的肿瘤生长模型，其中肿瘤细胞的增殖导致肿瘤结构域的扩展以及周围正常组织迁移到外部真空中。该模型具有两个移动的界面，可分隔肿瘤，正常组织和外部真空。我们证明了局部的存在和强溶液的独特性，从近乎径向的初始配置开始。假定肿瘤的迁移率低于正常组织，这与粘性指法中众所周知的萨夫曼 - 泰勒条件保持一致。
We study a tumor growth model in two space dimensions, where proliferation of the tumor cells leads to expansion of the tumor domain and migration of surrounding normal tissues into the exterior vacuum. The model features two moving interfaces separating the tumor, the normal tissue, and the exterior vacuum. We prove local-in-time existence and uniqueness of strong solutions for their evolution starting from a nearly radial initial configuration. It is assumed that the tumor has lower mobility than the normal tissue, which is in line with the well-known Saffman-Taylor condition in viscous fingering.
