THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL

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	THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL
	Arshad, Sadia 1; Yildiz, Tugba Akman 1; Baleanu, Dumitru 2; Tang, Yifa 3
	2020
发表期刊	UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
ISSN	1223-7027
卷号	82 期号:2 页码:181-196
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.
关键词	Fractional-order tumor model Caputo fractional derivative Cancer Obesity
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Physics, Multidisciplinary
WOS记录号	WOS:000538163300018
出版者	UNIV POLITEHNICA BUCHAREST, SCI BULL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51561
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.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
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.