THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL | |
Arshad, Sadia3; Yildiz, Tugba Akman3; Baleanu, Dumitru1; Tang, Yifa2 | |
刊名 | UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS |
2020 | |
卷号 | 82期号:2页码:181-196 |
关键词 | Fractional-order tumor model Caputo fractional derivative Cancer Obesity |
ISSN号 | 1223-7027 |
英文摘要 | This work investigates the tumor-obesity model via a fractional operator to analyze the interactions between cancer and obesity, since fractional derivatives capture the long formation of cancerous tumor cells that might takes years to develop. It is known that fat cells enhance the development of cancerous tumor cells. To examine how the immune system is influenced due to fat cells, interactions of four types of cell population, namely tumor cells, immune cells, normal cells and fat cells are examined. We investigate the equilibrium points and discuss their stability analytically. Numerical simulations are carried out to verify the analytical results, demonstrating that a low fat diet results in a smaller tumor burden as compared to a high-caloric diet. |
资助项目 | Scientific and Technological Research Council of Turkey (TUBITAK)[TBAG-117F473] ; National Natural Science Foundation of China[11771438] |
WOS研究方向 | Mathematics ; Physics |
语种 | 英语 |
出版者 | UNIV POLITEHNICA BUCHAREST, SCI BULL |
WOS记录号 | WOS:000538163300018 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51560] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Arshad, Sadia |
作者单位 | 1.Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan |
推荐引用方式 GB/T 7714 | Arshad, Sadia,Yildiz, Tugba Akman,Baleanu, Dumitru,et al. THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS,2020,82(2):181-196. |
APA | Arshad, Sadia,Yildiz, Tugba Akman,Baleanu, Dumitru,&Tang, Yifa.(2020).THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL.UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS,82(2),181-196. |
MLA | Arshad, Sadia,et al."THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL".UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS 82.2(2020):181-196. |
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