Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms

被引：8
作者：
Tao, Xueyan [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2021年 / 60卷
基金：
中国国家自然科学基金;
关键词：
Haptotaxis; Oncolytic viral therapy; Global existence; Weak solutions; CANCER INVASION; BOUNDEDNESS; SYSTEM; EXISTENCE; BEHAVIOR; TISSUE;
D O I：
10.1016/j.nonrwa.2020.103276
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work studies the global existence of weak solutions to a doubly haptotactic cross-diffusion system modeling oncolytic viral therapy. The model was proposed to illustrate the coupled dynamics of oncolytic virus (OV) particles, extracellular matrix (ECM), uninfected cancer cells and OV-infected cancer cells in the process of the oncolytic viral therapy. It is shown that the model has a global weak solution in a smooth bounded convex domain Omega subset of R-n (n <= 3). (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：22
相关论文
共 30 条
  • [1] Alt HW, 2016, UNIVERSITEXT, P1, DOI 10.1007/978-1-4471-7280-2
  • [2] Multiscale modelling of cancer response to oncolytic viral therapy
    Alzahrani, Talal
    Eftimie, Raluca
    Trucu, Dumitru
    [J]. MATHEMATICAL BIOSCIENCES, 2019, 310 : 76 - 95
  • [3] [Anonymous], 1977, STUDIES MATH ITS APP
  • [4] Chaplain MAJ, 2006, NETW HETEROG MEDIA, V1, P399
  • [5] Chaplain MAJ, 2003, MATH COMP BIOL SER, P269
  • [6] Gatenby RA, 1996, CANCER RES, V56, P5745
  • [7] Hieber M, 1997, COMMUN PART DIFF EQ, V22, P1647
  • [8] CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
    Hillen, Thomas
    Painter, Kevin J.
    Winkler, Michael
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2013, 23 (01) : 165 - 198
  • [9] Global dynamics of a quasilinear chemotaxis model arising from tumor invasion
    Jin, Hai-Yang
    Liu, Zhengrong
    Shi, Shijie
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 44 : 18 - 39
  • [10] Ladyenskaja O.A., 1968, LINEAR QUASILINEAR E, V23
123