A Mathematical Model and Analysis of the Anti-angiogenic and Tumor Immunotherapy

被引:0
作者
Shi, Xiulan [1 ]
He, Xiongxiong [2 ]
Ou, Xianhua [1 ]
机构
[1] Zhejiang Univ Technol, Coll Informat Engn, Zhejiang Key Lab Signal Proc, Hangzhou, Zhejiang, Peoples R China
[2] Zhejiang Univ Technol, Coll Informat Engn, Hangzhou, Zhejiang, Peoples R China
来源
PROCEEDINGS OF 2015 4TH INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND NETWORK TECHNOLOGY (ICCSNT 2015) | 2015年
关键词
cancer; angiogenesis; immune; microenvironment; immunotherapy;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper considers a model of tumor growth and treatment with anti-angiogenesis therapy and immunotherapy. A model consisting of five ordinary differential equations to simulate the interactions between normal cells, cancer cells, endothelial cells, immune cells and anti-angiogenic agent in tumor growth is developed. This paper also studies the effect of anti-angiogenesis therapy, immunotherapy and a combination of both therapies. Through the analysis and numerical simulation of the model, it is shown that only anti-angiogenesis therapy could not completely eliminate the tumor cells; Immunotherapy can eradicate tumor cells. The results also show that the model combined with tumor anti-angiogenesis therapy can achieve better therapeutic effect. The proportion of the overall drug used has decreased by about 17.5% through numerical simulation.
引用
收藏
页码:1549 / 1553
页数:5
相关论文
共 12 条
  • [1] Alarcon T, 2006, COMPUT MATH METHOD M, V7, P85, DOI [DOI 10.1080/10273660600968994, 10.1080/10273660600968994]
  • [2] Pinning of tumoral growth by enhancement of the immune response -: art. no. 238101
    Brú, A
    Albertos, S
    García-Asenjo, JAL
    Brú, I
    [J]. PHYSICAL REVIEW LETTERS, 2004, 92 (23) : 238101 - 1
  • [3] Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls
    de Pillis, L. G.
    Gu, W.
    Fister, K. R.
    Head, T.
    Maples, K.
    Murugan, A.
    Neal, T.
    Yoshida, K.
    [J]. MATHEMATICAL BIOSCIENCES, 2007, 209 (01) : 292 - 315
  • [4] Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models
    Eftimie, Raluca
    Bramson, Jonathan L.
    Earn, David J. D.
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2011, 73 (01) : 2 - 32
  • [5] Juan Wangfang, 2013, J MATH BIOL, V28, P41
  • [6] Modeling immunotherapy of the tumor-immune interaction
    Kirschner, D
    Panetta, JC
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1998, 37 (03) : 235 - 252
  • [7] Lakshmikantham V, 1969, Differential and Integral Inequalities: Theory and Applications: Volume I: Ordinary Differential Equations
  • [8] A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy
    Pinho, S. T. R.
    Bacelar, F. S.
    Andrade, R. F. S.
    Freedman, H. I.
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 815 - 828
  • [9] Simple ODE models of tumor growth and anti-angiogenic or radiation treatment
    Sachs, RK
    Hlatky, LR
    Hahnfeldt, P
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2001, 33 (12-13) : 1297 - 1305
  • [10] Inhibition of vascularization in tumor growth
    Scalerandi, M
    Sansone, BC
    [J]. PHYSICAL REVIEW LETTERS, 2002, 89 (21) : 218101 - 218101