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
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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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