Physica A: Statistical Mechanics and its Applications
| Autor: | Reis, E. A., Santos, L. B. L., Pinho, Suani Tavares Rubim de |
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| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Repositório Institucional da UFBA Universidade Federal da Bahia (UFBA) instacron:UFBA |
| DOI: | 10.1016/j.physa.2008.11.038 |
| Popis: | Texto completo: acesso restrito. p. 1303-1314 Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-10-15T14:24:51Z No. of bitstreams: 1 1-s2.0-S0378437108009849-main.pdf: 2320182 bytes, checksum: 564ad13087eb10af07fe823f607ad2da (MD5) Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-10-15T15:11:41Z (GMT) No. of bitstreams: 1 1-s2.0-S0378437108009849-main.pdf: 2320182 bytes, checksum: 564ad13087eb10af07fe823f607ad2da (MD5) Made available in DSpace on 2013-10-15T15:11:41Z (GMT). No. of bitstreams: 1 1-s2.0-S0378437108009849-main.pdf: 2320182 bytes, checksum: 564ad13087eb10af07fe823f607ad2da (MD5) Previous issue date: 2009 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 and order parameters are, respectively, the highest probability of cancer cell proliferation and the probability of the therapeutic effect on cancer cells. With respect to patterns, it is possible to observe the inner necrotic core and the effect of the therapy destroying the tumor from its outer borders inwards. |
| Databáze: | OpenAIRE |
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