On the derivation of macroscopic hyperbolic equations for binary multicellular growing mixtures

被引：3

作者：

Bellomo, N. ^{[1
]}

Bellouquid, A. ^{[2
]}

机构：

[1] Politecn Torino, Dept Math, I-10128 Turin, Italy

[2] Univ Cadi Ayyad, Ecole Natl Sci Appliquees, Safi, Morocco

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 05期

关键词：

Kinetic theory; Asymptotic limits; Hyperbolic scaling; Multicellular systems; Mixtures; Growing tissues; DIFFUSION LIMIT; KINETIC-MODELS; SYSTEMS; CHEMOTAXIS; COMPETITION; DYNAMICS;

D O I：

10.1016/j.camwa.2008.09.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents an asymptotic theory, based on the hyperbolic scaling, for a large class of Boltzmann-type equations suitable to model the evolution of a binary mixture of multicellular systems in biology. The modelling approach is that of the kinetic theory for active particles. Time scaling related to cell movement and biological activity are shown to play a crucial role in determining the macroscopic equations corresponding to each case. Applications are focused on the immune competition. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：744 / 756

页数：13

共 28 条

[21] Stochastic modeling of loss- and gain-of-function mutations in cancer [J].