Global boundedness of classical solutions to a two species cancer invasion haptotaxis model with tissue remodeling

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Dai, Feng^1,2  Liu, Bin^1,2 

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China

关键词: Haptotaxis;    Cancer invasion;    Global boundedness;    Tissue remodeling;    A priori estimates;   

DOI  :  10.1016/j.jmaa.2019.123583

来源: Elsevier

【 摘 要 】

In this paper, we deal with a haptotaxis cancer invasion model describing the migration and proliferation of two families of cancer cells, the epithelial-mesenchymal transition between two families cancer cells, the dynamics of matrix degrading enzymes, and the evolution and re-modeling of the extracellular matrix. Under appropriate regularity assumptions on initial data, by making some a priori estimates and applying iterative techniques, we establish the global existence and uniform boundedness of the unique classical solution in two-dimensional spatial domain for arbitrary cancer cells proliferation rates and in three-dimensional spatial setting for large cancer cells proliferation rates. These results improve and extend previously known ones. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free