信阳师范学院学报（自然科学版）Issue(3)：326-330,5.DOI:10.3969/j.issn.1003-0972.2015.03.004
基于非局部流的癌细胞浸润组织模型分析
Analyses on a Nonlocal Flux Model for Cancer Cell Invasion of Surrounding Tissue
摘要
Abstract
In the modeling of cancer cell invasion of the extracellular matrix, a nonlocal reaction-diffusion-advec-tion model was recently proposed to describe the interactions between cancer cells, extracellular matrix and matrix de-grading enzymes.Under no-flux boundary conditions and some appropriate assumptions on initial data, it was shown that the model possesses an unique global classical solution which is uniformly bounded.Furthermore, under the addi-tional assumptions and some other technical assumptions, it was proved that any classical solution of the model approa-ches the spatially uniform state as the time goes to infinity.关键词
非局部流/黏附/整体存在性/有界性/渐近行为Key words
nonlocal flux/adhesion/global existence/boundedness/asymptotic behavior分类
数理科学引用本文复制引用
张娜,雷梁..基于非局部流的癌细胞浸润组织模型分析[J].信阳师范学院学报（自然科学版）,2015,(3):326-330,5.基金项目
国家自然科学基金项目 （）
