| 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.[ZHU Hui-yan,DING Qian,WANG Fang-juan,WANG Hai-lan.Dynamics Analysis on Tumor Growth Model with Periodic ImpulsiveInjection of IL-2 and Immune Effector Cells[J].Journal of University of South China(Science and Technology),2015,29(4):72~76.] |
| 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 |
| Dynamics Analysis on Tumor Growth Model with Periodic ImpulsiveInjection of IL-2 and Immune Effector Cells |
| 投稿时间：2015-05-07 |
| DOI： |
| 中文关键词: 肿瘤免疫疗法 周期脉冲 稳定性 |
| 英文关键词:tumor immunotherapy periodic pulse stability |
| 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) |
|
| 摘要点击次数: 682 |
| 全文下载次数: 617 |
| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| 关闭 |