Modelling of the immune response: Conceptual frameworks and applications

被引：31

作者：

De Angelis, E ^{[1
]}

Mesin, L ^{[1
]}

机构：

[1] Politecn Torino, Dept Math, Turin, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2001年 / 11卷 / 09期

关键词：

cellular models; immune competition; kinetic theory; nonlinearity;

D O I：

10.1142/S0218202501001501

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the modelling of the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. The aim of this paper is to design a general mathematical framework toward modelling the so-called kinetic cellular theory. Some specific models are proposed within the above framework and suitable simulations are developed with special attention to bifurcation analysis.

引用

页码：1609 / 1630

页数：22

共 31 条

[1]

Adam J., 1996, SURVEY MODELS TUMOR

[2] Numerical analysis of iterative algorithms for an inverse boundary transport problem [J].