Qualitative analysis of a mean field model of tumor-immune system competition

被引：39

作者：

De Angelis, E

Jabin, PE

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[2] Ecole Normale Super, CNRS, UMR 8553, Dept Matemat & Applicat, F-75230 Paris 05, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 02期

关键词：

Vlasov kinetic theory; Cauchy problem; cell population; tumor-immune competition;

D O I：

10.1142/S0218202503002453

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the qualitative analysis of a model related to the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. We prove the existence of solutions to the Cauchy problem related to the model. The asymptotic behavior in time of our solutions is also investigated.

引用

页码：187 / 206

页数：20

共 9 条

[1] Generalized kinetic (Boltzmann) models: Mathematical structures and applications [J].