On a Model for the Growth of an Invasive Avascular Tumor

被引：3

作者：

Avila, J. A. J. ^{[1
]}

Lozada-Cruz, G. ^{[2
]}

机构：

[1] Univ Fed Sao Joao del Rei, Dept Math & Stat, BR-36307904 Sao Joao Del Rei, MG, Brazil

[2] Univ Estadual Paulista, Dept Math, IBILCE, BR-15054000 Sao Paulo, Brazil

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 05期

关键词：

Invasive avascular tumor; traveling wave; existence of solution; numerical simulation;

D O I：

10.12785/amis/070524

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to study the 1D model of invasive avascular tumor growth, which takes into account cell division, death, and motility, proposed by Kolobov and collaborators in 2009. First, we examine the existence and uniqueness of the solution to this model. Second, we studied qualitatively and numerically the traveling wave solutions. Finally, we show some numerical simulations for the cell density and nutrient concentration.

引用

页码：1857 / 1863

页数：7

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