作者
EA Reis, LBL Santos, Suani Tavares Rubim de Pinho
发表日期
2009/4/1
期刊
Physica A: Statistical Mechanics and its Applications
卷号
388
期号
7
页码范围
1303-1314
出版商
North-Holland
简介
Tumor growth has long been a target of investigation within the context of mathematical and computer modeling. The objective of this study is to propose and analyze a two-dimensional stochastic cellular automata model to describe avascular solid tumor growth, taking into account both the competition between cancer cells and normal cells for nutrients and/or space and a time-dependent proliferation of cancer cells. Gompertzian growth, characteristic of some tumors, is described and some of the features of the time-spatial pattern of solid tumors, such as compact morphology with irregular borders, are captured. The parameter space is studied in order to analyze the occurrence of necrosis and the response to therapy. Our findings suggest that transitions exist between necrotic and non-necrotic phases (no-therapy cases), and between the states of cure and non-cure (therapy cases). To analyze cure, the control …
引用总数
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学术搜索中的文章
EA Reis, LBL Santos, STR Pinho - Physica A: Statistical Mechanics and its Applications, 2009