KMS Of Academy of mathematics and systems sciences, CAS
| THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL | |
| Arshad, Sadia1; Yildiz, Tugba Akman1; Baleanu, Dumitru2; Tang, Yifa3 | |
| 2020 | |
| Source Publication | UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
 |
| ISSN | 1223-7027 |
| Volume | 82Issue:2Pages:181-196 |
| Abstract | 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. |
| Keyword | Fractional-order tumor model Caputo fractional derivative Cancer Obesity |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Scientific and Technological Research Council of Turkey (TUBITAK)[TBAG-117F473] ; National Natural Science Foundation of China[11771438] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Multidisciplinary |
| WOS ID | WOS:000538163300018 |
| Publisher | UNIV POLITEHNICA BUCHAREST, SCI BULL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51561 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Arshad, Sadia |
| Affiliation | 1.COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan 2.Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| Recommended Citation 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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