This paper is devoted to studying a free boundary problem modeling the effects of drug resistance and vasculature on the response of solid tumors to therapy.The model consists of a system of partial differential equat...This paper is devoted to studying a free boundary problem modeling the effects of drug resistance and vasculature on the response of solid tumors to therapy.The model consists of a system of partial differential equations governing intra-tumoral drug concentration and cancer cell density.By applying the Lp theory of parabolic equations and the Banach fixed point theorem,it is proved that this problem has a unique global classical solution.展开更多
文摘This paper is devoted to studying a free boundary problem modeling the effects of drug resistance and vasculature on the response of solid tumors to therapy.The model consists of a system of partial differential equations governing intra-tumoral drug concentration and cancer cell density.By applying the Lp theory of parabolic equations and the Banach fixed point theorem,it is proved that this problem has a unique global classical solution.