A numerical algorithm for avascular tumor growth model

被引：7

作者：

Mahmood, Mohammed Shuker ^{[1
]}

Mahmood, Silvia ^{[2
]}

Dobrota, Dusan ^{[2
]}

机构：

[1] Univ Zilina, Fac Mech Engn, Dept Appl Math, Zilina 01026, Slovakia

[2] Comenius Univ, Jessennis Fac Med, Inst Med Biochem, Martin 03754, Slovakia

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2010年 / 80卷 / 06期

关键词：

Avascular tumor growth; Necrotic core; Cell movement; Numerical solution; SOLID TUMOR; MULTICELLULAR SPHEROIDS; TISSUE CULTURE; CELL; SATURATION; DIFFUSION; NECROSIS; GLUCOSE; PH;

D O I：

10.1016/j.matcom.2009.09.011

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Avascular tumor growth model for multicellular spheroids is considered The model is a moving boundary problem and consists of three types of cells The governing equations arc nonlinear hyperbolic and/or parabolic differential equations Comparisons of the numerical solutions with the solution of the recent studies ale done The effect of the necrotic region on the tumor growth is discussed (C) 2009 IMACS Published by Elsevier B V All rights reserved

引用

页码：1269 / 1277

页数：9

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