Hybrid cellular automaton method for homogeneous tumour growth modelling

被引：0
|
作者：
Zapolski, Kirill M. [1 ]
Admiralskiy, Yury B. [1 ]
Bratus, Alexander S. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2014年 / 29卷 / 05期
关键词：
Hybrid cellular automaton; tumour proliferation; tumour modelling; cancer modelling;
D O I：
10.1515/rnam-2014-0026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a discrete planar model of the tumour growth is presented. The model is based on hybrid cellular automaton and describes the tumour in a homogeneous tissue. The tissue consists of healthy cells and can have irregular vasculature. The model simulates proliferation processes and necrotic cells appearance which depends on the oxygen supply. There exists a stable solution, which may be used as an approximation of the tissue. Described HCA model can be extended with angiogenesis, nutrients and factors fields.
引用
收藏
页码：319 / 329
页数：11
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