A mathematical model for the effect of obesity on cancer growth and on the immune system response

被引：43
|
作者：
Ku-Carrillo, Roberto A. [1 ,2 ]
Delgadillo, Sandra E. [2 ,3 ]
Chen-Charpentier, B. M. [1 ]
机构：
[1] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
[2] Univ Autonoma Aguascalientes, Dept Matemat & Fis, Ave Univ 940,Cd Univ, Aguascalientes, Mexico
[3] Ctr Invest Matemat AC, Jalisco S-N, Guanajuato 36240, Gto, Mexico
来源：
APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 7-8期
关键词：
Cancer; Immune system; Obesity; Competition model; DYNAMICS; INFLAMMATION; RESISTANCE; VALENCIA; REGION;
D O I：
10.1016/j.apm.2015.12.018
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Several experimental studies have found that obesity is a risk factor for different types of cancer. In this work we present a mathematical model of cancer tumor growth that takes into account the immune system response and the effects of obesity on the organism with cancer. This model consists of four ordinary differential equations with a logistic equation for the growth of the amount of fat stored. We analyze the stability of the equilibria obtained using parameter values reported in the literature. Our simplified model succeeds to reproduce different scenarios reported in clinical studies, such as, the negative effect of obesity on the cancer patient and the anticancer effect of a low caloric diet. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：4908 / 4920
页数：13
相关论文
共 50 条
  • [1] A mathematical model for the effect of toxicant on the immune system
    Dubey, Uma S.
    Dubey, Balram
    [J]. JOURNAL OF BIOLOGICAL SYSTEMS, 2007, 15 (04) : 473 - 493
  • [2] Global existence for a mathematical model of the immune response to cancer
    Wei, Xuemei
    Guo, Cuihua
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 3903 - 3911
  • [3] Mathematical modeling of tumor-immune system interactions: the effect of rituximab on breast cancer immune response
    Bitsouni, Vasiliki
    Tsilidis, Vasilis
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2022, 539
  • [4] MATHEMATICAL MODEL OF THE IMMUNE RESPONSE
    Kuznetsov, S. R.
    [J]. VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2015, 11 (04): : 72 - 87
  • [5] A stochastic model of cancer growth with immune response
    Boondirek, A.
    Lenbury, Y.
    Wong-Ekkabut, J.
    Triampo, W.
    Tang, I. M.
    Picha, P.
    [J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2006, 49 (04) : 1652 - 1666
  • [6] RECOGNITION AND LEARNING IN A MATHEMATICAL MODEL FOR IMMUNE RESPONSE AGAINST CANCER
    Delitala, Marcello
    Lorenzi, Tommaso
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (04): : 891 - 914
  • [7] A qualitative mathematical model of the immune response under the effect of stress
    Herrero, Maria Elena Gonzalez
    Kuehn, Christian
    [J]. CHAOS, 2021, 31 (06)
  • [8] A mathematical model for single cell cancer - Immune system dynamics
    Kolev, M
    Kozlowska, E
    Lachowicz, M
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2005, 41 (10) : 1083 - 1095
  • [9] ONCOGENES, ANTIONCOGENES AND THE IMMUNE-RESPONSE TO CANCER - A MATHEMATICAL-MODEL
    SHERRATT, JA
    NOWAK, MA
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1992, 248 (1323) : 261 - 271
  • [10] A validated mathematical model of cell-mediated immune response to tumor growth
    de Pillis, LG
    Radunskaya, AE
    Wiseman, CL
    [J]. CANCER RESEARCH, 2005, 65 (17) : 7950 - 7958
12345