Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition

被引：106
作者：
Bellomo, N [1 ]
Bellouquid, A [1 ]
Delitala, M [1 ]
机构：
[1] Politecn Torino, Dept Math, I-10129 Turin, Italy
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2004年 / 14卷 / 11期
关键词：
cell populations; biological complexity; immune competition; kinetic theory; nonlinear systems;
D O I：
10.1142/S0218202504003799
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a critical analysis and some developments related to the mathematical literature on multiscale modelling of multicellular systems involving tumor immune cells competition at the cellular level. The analysis is focused on the development of mathematical methods of the classical kinetic theory to model the above physical system and to recover macroscopic equation from the microscopic description. Various hints are given toward research perspectives, with special attention on the modelling of the interplay of microscopic (at the cellular level) biological and mechanical variables on the overall evolution of the system. Indeed the final aim of this paper consists of organizing the various contributions available in the literature into a mathematical framework suitable to generate a mathematical theory for complex biological systems.
引用
收藏
页码：1683 / 1733
页数：51
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