Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorCosta, F. H S
dc.creatorCampos, M.
dc.creatorAiéllo, O. E.
dc.creatorda Silva, M. A A
dc.date2014-05-27T11:30:52Z
dc.date2016-10-25T18:55:05Z
dc.date2014-05-27T11:30:52Z
dc.date2016-10-25T18:55:05Z
dc.date2013-11-01
dc.date.accessioned2017-04-06T02:42:15Z
dc.date.available2017-04-06T02:42:15Z
dc.identifierJournal of Theoretical Biology, v. 337, p. 24-29.
dc.identifier0022-5193
dc.identifier1095-8541
dc.identifierhttp://hdl.handle.net/11449/76899
dc.identifierhttp://acervodigital.unesp.br/handle/11449/76899
dc.identifier10.1016/j.jtbi.2013.07.030
dc.identifierWOS:000325955000003
dc.identifier2-s2.0-84883207249.pdf
dc.identifier2-s2.0-84883207249
dc.identifierhttp://dx.doi.org/10.1016/j.jtbi.2013.07.030
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/897580
dc.descriptionBased 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.
dc.languageeng
dc.relationJournal of Theoretical Biology
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDynamical Monte Carlo
dc.subjectMathematical modeling
dc.subjectTumor growth
dc.subjectcell organelle
dc.subjectepidemic
dc.subjectMonte Carlo analysis
dc.subjectnumerical model
dc.subjectstochasticity
dc.subjecttumor
dc.subjectcell division
dc.subjectgrowth curve
dc.subjectin vitro study
dc.subjectmathematical computing
dc.subjectmathematical model
dc.subjectMonte Carlo method
dc.subjectnormal distribution
dc.subjectpriority journal
dc.subjectsimulation
dc.subjectstochastic model
dc.subjecttumor growth
dc.subjecttumor model
dc.titleBasic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space
dc.typeOtro


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