Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.jtbi.2013.07.030 http://hdl.handle.net/11449/76899 |
Resumo: | Based on the literature data from HT-29 cell monolayers, we develop a model for its growth, analogous to an epidemic model, mixing local and global interactions. First, we propose and solve a deterministic equation for the progress of these colonies. Thus, we add a stochastic (local) interaction and simulate the evolution of an Eden-like aggregate by using dynamical Monte Carlo methods. The growth curves of both deterministic and stochastic models are in excellent agreement with the experimental observations. The waiting times distributions, generated via our stochastic model, allowed us to analyze the role of mesoscopic events. We obtain log-normal distributions in the initial stages of the growth and Gaussians at long times. We interpret these outcomes in the light of cellular division events: in the early stages, the phenomena are dependent each other in a multiplicative geometric-based process, and they are independent at long times. We conclude that the main ingredients for a good minimalist model of tumor growth, at mesoscopic level, are intrinsic cooperative mechanisms and competitive search for space. © 2013 Elsevier Ltd. |
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Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for spaceDynamical Monte CarloMathematical modelingTumor growthcell organelleepidemicMonte Carlo analysisnumerical modelstochasticitytumorcell divisiongrowth curvein vitro studymathematical computingmathematical modelMonte Carlo methodnormal distributionpriority journalsimulationstochastic modeltumor growthtumor modelBased on the literature data from HT-29 cell monolayers, we develop a model for its growth, analogous to an epidemic model, mixing local and global interactions. First, we propose and solve a deterministic equation for the progress of these colonies. Thus, we add a stochastic (local) interaction and simulate the evolution of an Eden-like aggregate by using dynamical Monte Carlo methods. The growth curves of both deterministic and stochastic models are in excellent agreement with the experimental observations. The waiting times distributions, generated via our stochastic model, allowed us to analyze the role of mesoscopic events. We obtain log-normal distributions in the initial stages of the growth and Gaussians at long times. We interpret these outcomes in the light of cellular division events: in the early stages, the phenomena are dependent each other in a multiplicative geometric-based process, and they are independent at long times. We conclude that the main ingredients for a good minimalist model of tumor growth, at mesoscopic level, are intrinsic cooperative mechanisms and competitive search for space. © 2013 Elsevier Ltd.Departamento de Física FFCLRP Universidade de São Paulo, 14040-901 Ribeirão Preto, São PauloDepartamento de Química e Ciências Ambientais IBILCE Universidade Estadual Paulista Júlio de Mesquita Filho, 15054-000 São José do Rio Preto, São PauloDepartamento de Física Médica UNIFEB, 14783-226 Barretos, São PauloDepartamento de Física e Química FCFRP Universidade de São Paulo, 14040-903 Ribeirão Preto, São PauloDepartamento de Química e Ciências Ambientais IBILCE Universidade Estadual Paulista Júlio de Mesquita Filho, 15054-000 São José do Rio Preto, São PauloUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)UNIFEBCosta, F. H SCampos, M. [UNESP]Aiéllo, O. E.da Silva, M. A A2014-05-27T11:30:52Z2014-05-27T11:30:52Z2013-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article24-29application/pdfhttp://dx.doi.org/10.1016/j.jtbi.2013.07.030Journal of Theoretical Biology, v. 337, p. 24-29.0022-51931095-8541http://hdl.handle.net/11449/7689910.1016/j.jtbi.2013.07.030WOS:0003259550000032-s2.0-848832072492-s2.0-84883207249.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Theoretical Biology1.8330,7460,746info:eu-repo/semantics/openAccess2023-12-19T06:26:15Zoai:repositorio.unesp.br:11449/76899Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:46:39.271304Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space |
title |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space |
spellingShingle |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space Costa, F. H S Dynamical Monte Carlo Mathematical modeling Tumor growth cell organelle epidemic Monte Carlo analysis numerical model stochasticity tumor cell division growth curve in vitro study mathematical computing mathematical model Monte Carlo method normal distribution priority journal simulation stochastic model tumor growth tumor model |
title_short |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space |
title_full |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space |
title_fullStr |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space |
title_full_unstemmed |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space |
title_sort |
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space |
author |
Costa, F. H S |
author_facet |
Costa, F. H S Campos, M. [UNESP] Aiéllo, O. E. da Silva, M. A A |
author_role |
author |
author2 |
Campos, M. [UNESP] Aiéllo, O. E. da Silva, M. A A |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) UNIFEB |
dc.contributor.author.fl_str_mv |
Costa, F. H S Campos, M. [UNESP] Aiéllo, O. E. da Silva, M. A A |
dc.subject.por.fl_str_mv |
Dynamical Monte Carlo Mathematical modeling Tumor growth cell organelle epidemic Monte Carlo analysis numerical model stochasticity tumor cell division growth curve in vitro study mathematical computing mathematical model Monte Carlo method normal distribution priority journal simulation stochastic model tumor growth tumor model |
topic |
Dynamical Monte Carlo Mathematical modeling Tumor growth cell organelle epidemic Monte Carlo analysis numerical model stochasticity tumor cell division growth curve in vitro study mathematical computing mathematical model Monte Carlo method normal distribution priority journal simulation stochastic model tumor growth tumor model |
description |
Based on the literature data from HT-29 cell monolayers, we develop a model for its growth, analogous to an epidemic model, mixing local and global interactions. First, we propose and solve a deterministic equation for the progress of these colonies. Thus, we add a stochastic (local) interaction and simulate the evolution of an Eden-like aggregate by using dynamical Monte Carlo methods. The growth curves of both deterministic and stochastic models are in excellent agreement with the experimental observations. The waiting times distributions, generated via our stochastic model, allowed us to analyze the role of mesoscopic events. We obtain log-normal distributions in the initial stages of the growth and Gaussians at long times. We interpret these outcomes in the light of cellular division events: in the early stages, the phenomena are dependent each other in a multiplicative geometric-based process, and they are independent at long times. We conclude that the main ingredients for a good minimalist model of tumor growth, at mesoscopic level, are intrinsic cooperative mechanisms and competitive search for space. © 2013 Elsevier Ltd. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-11-01 2014-05-27T11:30:52Z 2014-05-27T11:30:52Z |
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.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.jtbi.2013.07.030 Journal of Theoretical Biology, v. 337, p. 24-29. 0022-5193 1095-8541 http://hdl.handle.net/11449/76899 10.1016/j.jtbi.2013.07.030 WOS:000325955000003 2-s2.0-84883207249 2-s2.0-84883207249.pdf |
url |
http://dx.doi.org/10.1016/j.jtbi.2013.07.030 http://hdl.handle.net/11449/76899 |
identifier_str_mv |
Journal of Theoretical Biology, v. 337, p. 24-29. 0022-5193 1095-8541 10.1016/j.jtbi.2013.07.030 WOS:000325955000003 2-s2.0-84883207249 2-s2.0-84883207249.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Theoretical Biology 1.833 0,746 0,746 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
24-29 application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1808129247050465280 |