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dc.contributor.authorCastillo, Vanessaes_ES
dc.contributor.authorLázaro, J. Tomáses_ES
dc.contributor.authorSardanyés, Josepes_ES
dc.date.accessioned2017-06-13T09:07:01Z-
dc.date.available2017-06-13T09:07:01Z-
dc.date.issued2017-03-
dc.identifier.citationComputational and Applied Mathematics 36(1): 415–431 (2017)es_ES
dc.identifier.issn0101-8205-
dc.identifier.urihttp://hdl.handle.net/10261/151336-
dc.description.abstractCancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behavior, at least qualitatively, also allowing us to make predictions. Here, we analyze a simplified quasispecies mathematical model given by differential equations describing the time behavior of tumor cell populations with different levels of genomic instability. We find the equilibrium points, also characterizing their stability and bifurcations focusing on replication and mutation rates. We identify a transcritical bifurcation at increasing mutation rates of the tumor cells. Such a bifurcation involves a scenario with dominance of healthy cells and impairment of tumor populations. Finally, we characterize the transient times for this scenario, showing that a slight increase beyond the critical mutation rate may be enough to have a fast response towards the desired state (i.e., low tumor populations) by applying directed mutagenic therapies.es_ES
dc.description.sponsorshipJTL has been partially supported by the Spanish MICIN/FEDER grant MTM2012-31714, by the Generalitat de Catalunya grant number 2014SGR-504, and by grant 14-41-00044 of RSF at the Lobachevsky University of Nizhny Novgorod. JS has been funded by the Fundación Botín.es_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsclosedAccesses_ES
dc.subjectApplied mathematicses_ES
dc.subjectBifurcationses_ES
dc.subjectCanceres_ES
dc.subjectComplex systemses_ES
dc.subjectQuasispecies dynamicses_ES
dc.titleDynamics and bifurcations in a simple quasispecies model of tumorigenesises_ES
dc.typeartículoes_ES
dc.identifier.doi10.1007/s40314-015-0234-3-
dc.description.peerreviewedPeer reviewedes_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s40314-015-0234-3es_ES
dc.identifier.e-issn1807-0302-
dc.contributor.funderEuropean Commissiones_ES
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es_ES
dc.contributor.funderGeneralitat de Catalunyaes_ES
dc.contributor.funderLobachevsky Universityes_ES
dc.contributor.funderFundación Botínes_ES
dc.relation.csices_ES
oprm.item.hasRevisionno ko 0 false*
dc.identifier.funderhttp://dx.doi.org/10.13039/501100000780es_ES
dc.identifier.funderhttp://dx.doi.org/10.13039/501100004837es_ES
dc.identifier.funderhttp://dx.doi.org/10.13039/501100002809es_ES
dc.identifier.funderhttp://dx.doi.org/10.13039/501100006373es_ES
dc.type.coarhttp://purl.org/coar/resource_type/c_6501es_ES
item.openairetypeartículo-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
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