具抑制剂和坏死核的血管化肿瘤生长模型的稳态解  

Stationary solution of a vascularized tumor model with inhibitor and necrotic core

作　　者：王泽佳 刘倩[1,2] 温立书 WANG Zejia;LIU Qian;WEN Lishu(College of Mathematics and Statistics,Jiangxi Normal University,330022,Nanchang;Jiujiang Experimental Middle School,332000,Jiujiang,Jiangxi;College of Science,Shenyang Aerospace University,110136,Shenyang,Liaoning,PRC)

机构地区：[1]江西师范大学数学与统计学院,南昌市330022 [2]九江实验中学,江西省九江市332000 [3]沈阳航空航天大学理学院,辽宁省沈阳市110136

出　　处：《曲阜师范大学学报（自然科学版）》2023年第4期1-8,F0002,共9页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(12231047,12161045,11861038);江西省自然科学基金(20232BAB201010)。

摘　　要：研究在抑制剂作用下含坏死核的血管化肿瘤生长模型自由边界问题.假设肿瘤是球对称形状,利用幂级数方法证明了在一定条件下模型稳态解的存在唯一性.This paper is concerned with a free boundary problem modeling the growth of vascularized tumor with inhibitor and necrotic core,in which the tumor is spherically symmetrical.The existence and uniqueness of the stationary solution of the model are established using the power series method.

关 键 词：肿瘤模型 血管化 坏死核 稳态解 

分 类 号：O175.2[理学—数学]