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The Extinction and Persistence of Tumor Evolution Influenced by External Fluctuations and Periodic Treatment

文献类型：期刊论文

作者Li, Dongxi1; Cheng, Fangjuan2
刊名QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
出版日期2019-12-01
卷号18期号:3页码:873-886
关键词Extinction Persistence External fluctuations Periodic treatment
ISSN号1575-5460
DOI10.1007/s12346-019-00317-9
通讯作者Li, Dongxi(dxli0426@126.com)
英文摘要This paper investigates the extinction and persistence of tumor evolution influenced by external fluctuations and periodic treatment. Firstly, a mathematical model describing the evolution of tumor cells with immunization under external fluctuations and periodic treatment is established based on stochastic differential equation. Then, making use of the methods of Ito's formula, the sufficient conditions for extinction and persistence are derived by rigorous mathematical proofs. Finally, numerical simulations are applied to illustrate and verify the conclusions. The results of this work provide the theoretical basis for designing more effective and precise therapeutic strategies to eliminate cancer cells, especially for combining the immunotherapy and the traditional tools.
WOS关键词CANCER ; MODEL ; IMMUNOTHERAPY ; COMPETITION ; GROWTH ; CELLS
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000494890400008
出版者SPRINGER BASEL AG
源URL[http://ir.ia.ac.cn/handle/173211/28848]  
专题数字内容技术与服务研究中心_听觉模型与认知计算
通讯作者Li, Dongxi
作者单位1.Taiyuan Univ Technol, Coll Data Sci, Taiyuan 030024, Shanxi, Peoples R China
2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Li, Dongxi,Cheng, Fangjuan. The Extinction and Persistence of Tumor Evolution Influenced by External Fluctuations and Periodic Treatment[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS,2019,18(3):873-886.
APA Li, Dongxi,&Cheng, Fangjuan.(2019).The Extinction and Persistence of Tumor Evolution Influenced by External Fluctuations and Periodic Treatment.QUALITATIVE THEORY OF DYNAMICAL SYSTEMS,18(3),873-886.
MLA Li, Dongxi,et al."The Extinction and Persistence of Tumor Evolution Influenced by External Fluctuations and Periodic Treatment".QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 18.3(2019):873-886.

入库方式： OAI收割

来源：自动化研究所

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