一种未血管化肿瘤生长模型整体解的证明

Prove of Global Solutions for a Model on Avascular Tumor Growth

研究了一种未血管化肿瘤生长模型的自由边界问题,模型与此类其它模型有着明显的不同,它引入新的运动项来描述肿瘤内细胞的运动,反映了肿瘤内细胞运动的"接触抑制"性质.运用Banach不动点理论和抛物型方程的L^P理论,证明了模型存在唯一整体解.

The author focused on a free boundary problem modelling growth of avascular tumors,this model gave distinct difference from other tumor models in which a new movement term used to show the movement of cells in tumor,and the new term also showed the property of the movement named ＂contact inhibition＂.With the fixed point theorem of Banach Space and the L^P theory of parabolic equations the author proved the existence and uniqueness of the global solutions of the problem.