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

页码：4908 / 4920

页数：13

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