Mathematical modeling of drug resistance in heterogeneous cancer cell populations

doi:10.1142/S1793524523501012

	Mathematical modeling of drug resistance in heterogeneous cancer cell populations
	Bao, Kangbo1,2 ; Liang, Guizhen 3; Tian, Tianhai 4; Zhang, Xingan 2
	2023-12-23
在线发表日期	2023-12
发表期刊	INTERNATIONAL JOURNAL OF BIOMATHEMATICS
摘要	Drug resistance is one of the most intractable issues associated with cancer treatment in clinical practice. Mathematical models provide an analytic framework for facilitating the understanding of resistance evolution dynamics and the design of cancer clinical trial. In this paper, we develop an elementary, compartmental mathematical model for absolute drug resistance, focusing on the effects of point mutations in genetic drivers of malignancy. A set of ordinary differential equations (ODEs) is used to describe the dynamics of competing heterogeneous cancer cell populations while taking account of pharmacokinetics. All possible equilibria and their local geometric properties are analyzed, with the result suggests that the system exhibits bistable dynamics. The existence of optimal treatment time is discussed. To identify the critical parameters which influence cellular dynamics, we also perform parameter sensitivity analysis. Finally, numerical simulations are presented to verify the feasibilities of our analytical results and to find that the pre-existence of resistant cell phenotypes contributes more than resistant mutants generated during the treatment phase.
关键词	Cancer drug resistance ACQUIRED-RESISTANCE differential equation MECHANISMS bistability EVOLUTION optimal treatment time DYNAMICS pre-existence MUTATION TUMORS
DOI	10.1142/S1793524523501012
收录类别	SCIE
ISSN	1793-5245
语种	英语
WOS研究方向	Mathematical & Computational Biology
WOS类目	Mathematical & Computational Biology
WOS记录号	WOS:001135500600001
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
原始文献类型	Article ; Early Access
EISSN	1793-7159
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/35666
专题	信息工程与人工智能学院
通讯作者	Zhang, Xingan
作者单位	1.Lanzhou Univ Finance & Econ, Sch Informat Engn & Artificial Intelligence, Lanzhou 730020, Peoples R China; 2.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China; 3.Xinxiang Univ, Sch Math & Informat Sci, Xinxiang 453003, Peoples R China; 4.Monash Univ, Sch Math Sci, Melbourne, Vic 3800, Australia
第一作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Bao, Kangbo,Liang, Guizhen,Tian, Tianhai,et al. Mathematical modeling of drug resistance in heterogeneous cancer cell populations[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS,2023.
APA	Bao, Kangbo,Liang, Guizhen,Tian, Tianhai,&Zhang, Xingan.(2023).Mathematical modeling of drug resistance in heterogeneous cancer cell populations.INTERNATIONAL JOURNAL OF BIOMATHEMATICS.
MLA	Bao, Kangbo,et al."Mathematical modeling of drug resistance in heterogeneous cancer cell populations".INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2023).