Critical behavior of a probabilistic cellular automaton describing a biological system.
Autor(a) principal: | |
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Data de Publicação: | 1998 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFOP |
Texto Completo: | http://www.repositorio.ufop.br/handle/123456789/1650 |
Resumo: | We study nonequilibrium phase transitions occurring in aprobabilisticcellularautomaton which describes one part of the immune system. In this model, each site can be occupied by three type of cells and the immune response under parasitic infections is described in terms of two parameters p and r. The local rules governing the evolution of this automaton possess “up–down” symmetry similar to Ising models. Performing Monte Carlo simulations on square and cubic lattices we verify that the model displays continuous kinetic phase transitions with spontaneous symmetry breaking. We present detailed simulations and analysis of the criticalbehavior. Our results indicate that the model belongs to the Ising universality class, supporting the “up–down” conjecture. |
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Ortega, Neli Regina SiqueiraPinheiro, Carlos Felipe SaraivaTomé, TâniaFelício, José Roberto Drugowich de2012-10-16T13:37:30Z2012-10-16T13:37:30Z1998ORTEGA, N. R. S. et al. Critical behavior of a probabilistic cellular automaton describing a biological system. Physica A: Statistical Mechanics and its Applications, v. 255, n. 1-2, p. 189-200, jun. 1998. Disponível em: <http://fge.if.usp.br/~ttome/Publicacoes/physicaA/physicaA_255_189_1998.pdf>. Acesso em: 16 out. 2012.03784371http://www.repositorio.ufop.br/handle/123456789/1650We study nonequilibrium phase transitions occurring in aprobabilisticcellularautomaton which describes one part of the immune system. In this model, each site can be occupied by three type of cells and the immune response under parasitic infections is described in terms of two parameters p and r. The local rules governing the evolution of this automaton possess “up–down” symmetry similar to Ising models. Performing Monte Carlo simulations on square and cubic lattices we verify that the model displays continuous kinetic phase transitions with spontaneous symmetry breaking. We present detailed simulations and analysis of the criticalbehavior. Our results indicate that the model belongs to the Ising universality class, supporting the “up–down” conjecture.Critical behavior of a probabilistic cellular automaton describing a biological system.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleO periódico Physica A concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3343590935000.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://www.repositorio.ufop.br/bitstream/123456789/1650/5/license.txt8a4605be74aa9ea9d79846c1fba20a33MD55ORIGINALARTIGO_CriticalBehaviorProbabilistic.pdfARTIGO_CriticalBehaviorProbabilistic.pdfapplication/pdf128110http://www.repositorio.ufop.br/bitstream/123456789/1650/1/ARTIGO_CriticalBehaviorProbabilistic.pdfc19302ec9d15595b1436ac3c46a261c1MD51123456789/16502019-03-12 14:19:23.036oai:localhost:123456789/1650Tk9URTogUExBQ0UgWU9VUiBPV04gTElDRU5TRSBIRVJFClRoaXMgc2FtcGxlIGxpY2Vuc2UgaXMgcHJvdmlkZWQgZm9yIGluZm9ybWF0aW9uYWwgcHVycG9zZXMgb25seS4KCk5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0Cm93bmVyKSBncmFudHMgdG8gRFNwYWNlIFVuaXZlcnNpdHkgKERTVSkgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgdG8gcmVwcm9kdWNlLAp0cmFuc2xhdGUgKGFzIGRlZmluZWQgYmVsb3cpLCBhbmQvb3IgZGlzdHJpYnV0ZSB5b3VyIHN1Ym1pc3Npb24gKGluY2x1ZGluZwp0aGUgYWJzdHJhY3QpIHdvcmxkd2lkZSBpbiBwcmludCBhbmQgZWxlY3Ryb25pYyBmb3JtYXQgYW5kIGluIGFueSBtZWRpdW0sCmluY2x1ZGluZyBidXQgbm90IGxpbWl0ZWQgdG8gYXVkaW8gb3IgdmlkZW8uCgpZb3UgYWdyZWUgdGhhdCBEU1UgbWF5LCB3aXRob3V0IGNoYW5naW5nIHRoZSBjb250ZW50LCB0cmFuc2xhdGUgdGhlCnN1Ym1pc3Npb24gdG8gYW55IG1lZGl1bSBvciBmb3JtYXQgZm9yIHRoZSBwdXJwb3NlIG9mIHByZXNlcnZhdGlvbi4KCllvdSBhbHNvIGFncmVlIHRoYXQgRFNVIG1heSBrZWVwIG1vcmUgdGhhbiBvbmUgY29weSBvZiB0aGlzIHN1Ym1pc3Npb24gZm9yCnB1cnBvc2VzIG9mIHNlY3VyaXR5LCBiYWNrLXVwIGFuZCBwcmVzZXJ2YXRpb24uCgpZb3UgcmVwcmVzZW50IHRoYXQgdGhlIHN1Ym1pc3Npb24gaXMgeW91ciBvcmlnaW5hbCB3b3JrLCBhbmQgdGhhdCB5b3UgaGF2ZQp0aGUgcmlnaHQgdG8gZ3JhbnQgdGhlIHJpZ2h0cyBjb250YWluZWQgaW4gdGhpcyBsaWNlbnNlLiBZb3UgYWxzbyByZXByZXNlbnQKdGhhdCB5b3VyIHN1Ym1pc3Npb24gZG9lcyBub3QsIHRvIHRoZSBiZXN0IG9mIHlvdXIga25vd2xlZGdlLCBpbmZyaW5nZSB1cG9uCmFueW9uZSdzIGNvcHlyaWdodC4KCklmIHRoZSBzdWJtaXNzaW9uIGNvbnRhaW5zIG1hdGVyaWFsIGZvciB3aGljaCB5b3UgZG8gbm90IGhvbGQgY29weXJpZ2h0LAp5b3UgcmVwcmVzZW50IHRoYXQgeW91IGhhdmUgb2J0YWluZWQgdGhlIHVucmVzdHJpY3RlZCBwZXJtaXNzaW9uIG9mIHRoZQpjb3B5cmlnaHQgb3duZXIgdG8gZ3JhbnQgRFNVIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdApzdWNoIHRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkCndpdGhpbiB0aGUgdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRApCWSBBTiBBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gRFNVLCBZT1UgUkVQUkVTRU5UIFRIQVQgWU9VIEhBVkUKRlVMRklMTEVEIEFOWSBSSUdIVCBPRiBSRVZJRVcgT1IgT1RIRVIgT0JMSUdBVElPTlMgUkVRVUlSRUQgQlkgU1VDSApDT05UUkFDVCBPUiBBR1JFRU1FTlQuCgpEU1Ugd2lsbCBjbGVhcmx5IGlkZW50aWZ5IHlvdXIgbmFtZShzKSBhcyB0aGUgYXV0aG9yKHMpIG9yIG93bmVyKHMpIG9mIHRoZQpzdWJtaXNzaW9uLCBhbmQgd2lsbCBub3QgbWFrZSBhbnkgYWx0ZXJhdGlvbiwgb3RoZXIgdGhhbiBhcyBhbGxvd2VkIGJ5IHRoaXMKbGljZW5zZSwgdG8geW91ciBzdWJtaXNzaW9uLgo=Repositório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332019-03-12T18:19:23Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false |
dc.title.pt_BR.fl_str_mv |
Critical behavior of a probabilistic cellular automaton describing a biological system. |
title |
Critical behavior of a probabilistic cellular automaton describing a biological system. |
spellingShingle |
Critical behavior of a probabilistic cellular automaton describing a biological system. Ortega, Neli Regina Siqueira |
title_short |
Critical behavior of a probabilistic cellular automaton describing a biological system. |
title_full |
Critical behavior of a probabilistic cellular automaton describing a biological system. |
title_fullStr |
Critical behavior of a probabilistic cellular automaton describing a biological system. |
title_full_unstemmed |
Critical behavior of a probabilistic cellular automaton describing a biological system. |
title_sort |
Critical behavior of a probabilistic cellular automaton describing a biological system. |
author |
Ortega, Neli Regina Siqueira |
author_facet |
Ortega, Neli Regina Siqueira Pinheiro, Carlos Felipe Saraiva Tomé, Tânia Felício, José Roberto Drugowich de |
author_role |
author |
author2 |
Pinheiro, Carlos Felipe Saraiva Tomé, Tânia Felício, José Roberto Drugowich de |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Ortega, Neli Regina Siqueira Pinheiro, Carlos Felipe Saraiva Tomé, Tânia Felício, José Roberto Drugowich de |
description |
We study nonequilibrium phase transitions occurring in aprobabilisticcellularautomaton which describes one part of the immune system. In this model, each site can be occupied by three type of cells and the immune response under parasitic infections is described in terms of two parameters p and r. The local rules governing the evolution of this automaton possess “up–down” symmetry similar to Ising models. Performing Monte Carlo simulations on square and cubic lattices we verify that the model displays continuous kinetic phase transitions with spontaneous symmetry breaking. We present detailed simulations and analysis of the criticalbehavior. Our results indicate that the model belongs to the Ising universality class, supporting the “up–down” conjecture. |
publishDate |
1998 |
dc.date.issued.fl_str_mv |
1998 |
dc.date.accessioned.fl_str_mv |
2012-10-16T13:37:30Z |
dc.date.available.fl_str_mv |
2012-10-16T13:37:30Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
ORTEGA, N. R. S. et al. Critical behavior of a probabilistic cellular automaton describing a biological system. Physica A: Statistical Mechanics and its Applications, v. 255, n. 1-2, p. 189-200, jun. 1998. Disponível em: <http://fge.if.usp.br/~ttome/Publicacoes/physicaA/physicaA_255_189_1998.pdf>. Acesso em: 16 out. 2012. |
dc.identifier.uri.fl_str_mv |
http://www.repositorio.ufop.br/handle/123456789/1650 |
dc.identifier.issn.none.fl_str_mv |
03784371 |
identifier_str_mv |
ORTEGA, N. R. S. et al. Critical behavior of a probabilistic cellular automaton describing a biological system. Physica A: Statistical Mechanics and its Applications, v. 255, n. 1-2, p. 189-200, jun. 1998. Disponível em: <http://fge.if.usp.br/~ttome/Publicacoes/physicaA/physicaA_255_189_1998.pdf>. Acesso em: 16 out. 2012. 03784371 |
url |
http://www.repositorio.ufop.br/handle/123456789/1650 |
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eng |
language |
eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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UFOP |
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