Mathematical modeling and bifurcation analysis for a biological mechanism of cancer drug resistance
Bao, Kangbo1,2; Liang, Guizhen3; Tian, Tianhai4; Zhang, Xinan2
2024-05
发表期刊ACTA MATHEMATICA SCIENTIA
卷号44期号:3页码:1165-1188
摘要Drug resistance is one of the most intractable issues in targeted therapy for cancer diseases. It has also been demonstrated to be related to cancer heterogeneity, which promotes the emergence of treatment-refractory cancer cell populations. Focusing on how cancer cells develop resistance during the encounter with targeted drugs and the immune system, we propose a mathematical model for studying the dynamics of drug resistance in a conjoint heterogeneous tumor-immune setting. We analyze the local geometric properties of the equilibria of the model. Numerical simulations show that the selectively targeted removal of sensitive cancer cells may cause the initially heterogeneous population to become a more resistant population. Moreover, the decline of immune recruitment is a stronger determinant of cancer escape from immune surveillance or targeted therapy than the decay in immune predation strength. Sensitivity analysis of model parameters provides insight into the roles of the immune system combined with targeted therapy in determining treatment outcomes.
关键词mathematical model drug resistance cancer heterogeneity immune system targeted therapy
DOI10.1007/s10473-024-0321-x
收录类别SCIE
ISSN0252-9602
语种英语
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:001163620000012
出版者SPRINGER
原始文献类型Article
来源期刊等级C1类
EISSN1572-9087
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被引频次[WOS]:0   [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/35674
专题信息工程与人工智能学院
通讯作者Zhang, Xinan
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, Henan, 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
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Bao, Kangbo,Liang, Guizhen,Tian, Tianhai,et al. Mathematical modeling and bifurcation analysis for a biological mechanism of cancer drug resistance[J]. ACTA MATHEMATICA SCIENTIA,2024,44(3):1165-1188.
APA Bao, Kangbo,Liang, Guizhen,Tian, Tianhai,&Zhang, Xinan.(2024).Mathematical modeling and bifurcation analysis for a biological mechanism of cancer drug resistance.ACTA MATHEMATICA SCIENTIA,44(3),1165-1188.
MLA Bao, Kangbo,et al."Mathematical modeling and bifurcation analysis for a biological mechanism of cancer drug resistance".ACTA MATHEMATICA SCIENTIA 44.3(2024):1165-1188.
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