| 脉冲输注IL-2与免疫效应细胞的肿瘤免疫治疗动力学分析 |
| |
| 引用本文： | 朱惠延,丁倩,王芳娟,王海兰.脉冲输注IL-2与免疫效应细胞的肿瘤免疫治疗动力学分析[J].南华大学学报(自然科学版),2015,29(4):72-76. |
| |
| 作者姓名： | 朱惠延 丁倩 王芳娟 王海兰 |
| |
| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001 |
| |
| 基金项目： | 湖南省自然科学基金资助项目(14JJ2089);湖南省教育厅科学研究重点基金资助项目(14A128);湖南省自然科学基金资助项目(13JJ9008);湖南省研究生科研创新基金资助项目(2014SCX22) |
| |
| 摘 要： | 本文研究一类具脉冲输注方式的肿瘤免疫治疗三维脉冲微分方程模型.运用频闪映射、Floquet乘子理论及脉冲比较定理等分析方法,研究模型周期解的存在性和渐近稳定性,从而获得肿瘤灭绝的条件.通过数值模拟验证了所获理论结果的正确性.
|
| 关 键 词： | 肿瘤免疫疗法 周期脉冲 稳定性 |
| 收稿时间： | 2015/5/7 0:00:00 |
Dynamics Analysis on Tumor Growth Model with Periodic ImpulsiveInjection of IL-2 and Immune Effector Cells |
| |
| ZHU Hui-yan,DING Qian,WANG Fang-juan and WANG Hai-lan.Dynamics Analysis on Tumor Growth Model with Periodic ImpulsiveInjection of IL-2 and Immune Effector Cells[J].Journal of Nanhua University:Science and Technology,2015,29(4):72-76. |
| |
| Authors: | ZHU Hui-yan DING Qian WANG Fang-juan and WANG Hai-lan |
| |
| Institution: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
| |
| Abstract: | A periodic pulse differential equation model of tumor immunotherapy is established by considering the periodic and transient behavior of infusing immune cells.Using the comparison theorem and Floquet multiplier theory of the impulsive differential equation,the existence and asymptotic stability of the free-tumor periodic solution are given.Numerical simulations are carried to confirm the main theorems. |
| |
| Keywords: | tumor immunotherapy periodic pulse stability |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《南华大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《南华大学学报(自然科学版)》下载免费的PDF全文 |
|
