论文标题
营养消耗和供应引起的肿瘤边界不稳定性
Tumor boundary instability induced by nutrient consumption and supply
论文作者
论文摘要
我们研究了养分消耗和供应所引起的肿瘤边界不稳定性，该肿瘤基于对细胞密度模型的不可压缩极限而得出的Hele-Shaw模型。我们在两种情况下分析了边界稳定性/不稳定性：1）行驶波的前部； 2）径向对称边界。在每种情况下，我们都会研究体外和体内两个不同养分供应方案下的边界行为。我们的主要结论是，对于任何一种情况，无论营养消耗率如何，体外机构始终稳定肿瘤的边界。但是，当肿瘤细胞积极消耗营养并且营养供应受体内状态时，可能会发生边界不稳定性。
We investigate the tumor boundary instability induced by nutrient consumption and supply based on a Hele-Shaw model derived from taking the incompressible limit of a cell density model. We analyze the boundary stability/instability in two scenarios: 1) the front of the traveling wave; 2) the radially symmetric boundary. In each scenario, we investigate the boundary behaviors under two different nutrient supply regimes, in vitro, and in vivo. Our main conclusion is that for either scenario, the in vitro regime always stabilizes the tumor's boundary regardless of the nutrient consumption rate. However, boundary instability may occur when the tumor cells aggressively consume nutrients, and the nutrient supply is governed by the in vivo regime.
