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dc.contributor.authorRomán Román, Patricia 
dc.contributor.authorRomán Román, Sergio
dc.contributor.authorSerrano Pérez, Juan José 
dc.contributor.authorTorres Ruiz, Francisco De Asís 
dc.date.accessioned2021-03-18T11:44:13Z
dc.date.available2021-03-18T11:44:13Z
dc.date.issued2021-03-17
dc.identifier.citationRomán-Román, P.; Román-Román, S.; Serrano-Pérez, J.J.; Torres-Ruiz, F. Using First-Passage Times to Analyze Tumor Growth Delay. Mathematics 2021, 9, 642. [https://doi.org/10.3390/math9060642]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/67323
dc.description.abstractA central aspect of in vivo experiments with anticancer therapies is the comparison of the effect of different therapies, or doses of the same therapeutic agent, on tumor growth. One of the most popular clinical endpoints is tumor growth delay, which measures the effect of treatment on the time required for tumor volume to reach a specific value. This effect has been analyzed through a variety of statistical methods: conventional descriptive analysis, linear regression, Cox regression, etc. We propose a new approach based on stochastic modeling of tumor growth and the study of first-passage time variables. This approach allows us to prove that the time required for tumor volume to reach a specific value must be determined empirically as the average of the times required for the volume of individual tumors to reach said value instead of the time required for the average volume of the tumors to reach the value of interest. In addition, we define several measures in random environments to compare the time required for the tumor volume to multiply k times its initial volume in control, as well as treated groups, and the usefulness of these measures is illustrated by means of an application to real dataes_ES
dc.language.isoenges_ES
dc.publisherMdpies_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectTumor growthes_ES
dc.subjectTumor growth delay measurementses_ES
dc.subjectFirst-passage timeses_ES
dc.subjectDiffusion processeses_ES
dc.titleUsing First-Passage Times to Analyze Tumor Growth Delayes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.3390/math9060642
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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Atribución 3.0 España
Except where otherwise noted, this item's license is described as Atribución 3.0 España