A two-phase model of solid tumour growth

被引：155

作者：

Byrne, HM ^{[1
]}

King, JR

MCElwain, DLS

Preziosi, L

机构：

[1] Univ Nottingham, Ctr Math Med, Sch Math Sci, Nottingham NG7 2RD, England

[2] Queensland Univ Technol, Sch Math Sci, Ctr Stat Sci & Ind Math, Brisbane, Qld 4001, Australia

[3] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

two-phase model; solid tumour growth; diffusion; mechanical stresses;

D O I：

10.1016/S0893-9659(03)00038-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many solid tumour growth models are formulated as systems of parabolic and/or hyperbolic equations. Here an alternative, two-phase theory is developed to describe solid tumour growth. Versions of earlier models are recovered when suitable limits of the new model are taken. We contend that the multiphase approach represents a more general, and natural, modelling framework for studying solid tumour growth than existing theories. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：567 / 573

页数：7

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