ON THE GLOBAL DYNAMICS OF A MODEL FOR TUMOR IMMUNOTHERAPY

被引：50

作者：

Kirschner, Denise ^{[1
]}

Tsygvintsev, Alexei ^{[2
]}

机构：

[1] Univ Michigan, Sch Med, Dept Microbiol & Immunol, Ann Arbor, MI 48109 USA

[2] Ecole Normale Super Lyon, Unit Math Pures & Appl, F-69364 Lyon 07, France

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2009年 / 6卷 / 03期

关键词：

METASTATIC MELANOMA; MATHEMATICAL-MODEL; INTERLEUKIN-2; LYMPHOCYTES;

D O I：

10.3934/mbe.2009.6.573

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model was developed that explored the immune response to tumors that was used to study a special type of treatment [ 3]. This treatment approach uses elements of the host to boost its immune response in the hopes that the host can clear the tumor. This model was extensively studied using numerical simulation, however no global analytical results were originally presented. In this work we explore the global dynamics to show under what conditions tumor clearance can be achieved.

引用

页码：573 / 583

页数：11

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