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Physical mathematical evaluation of the cardiac dynamic applying the Zipf-Mandelbrot law

dc.creatorPardo Oviedo, Juan Mauricio
dc.creatorRodriguez, Javier Oswaldospa
dc.creatorPrieto, Signed Esperanzaspa
dc.creatorCorrea, Sandra Catalinaspa
dc.creatorMendoza, Fernánspa
dc.creatorWeiz, Gioraspa
dc.creatorFreddy Barrios, Miguel Martinezspa
dc.date.accessioned2020-08-19T14:40:08Z
dc.date.available2020-08-19T14:40:08Z
dc.date.created2015spa
dc.description.abstractThe law of Zipf-Mandelbrot is a power law, which has been observed in natural languages. A mathematical diagnosis of fetal cardiac dynamics has been developed with this law. Objective: To develop a methodology for diagnostic aid to assess the degree of complexity of adult cardiac dynamics by Zipf-Mandelbrot law. Methodology: A mathematical induction was done for this; two groups of Holter recordings were selected: 11 with normal diagnosis and 11 with acute disease of each group, one Holter of each group was chosen for the induction, the law of Zipf-Mandelbrot was applied to evaluate the degree of complexity of each Holter, searching similarities or differences between the dynamics. A blind study was done with 20 Holters calculating sensitivity, specificity and the coefficient kappa. Results: The complexity grade of a normal cardiac dynamics varied between 0.9483 and 0.7046, and for an acute dynamic between 0.6707 and 0.4228. Conclusions: A new physical mathematical methodology for diagnostic aid was developed; it showed that the degree of complexity of normal cardiac dynamics was higher than those with acute disease, showing quantitatively how cardiac dynamics can evolve to acute state.eng
dc.format.mimetypeapplication/pdf
dc.identifier.doihttp://dx.doi.org/10.4236/jmp.2015.613193
dc.identifier.issnISSN: 2153-1196
dc.identifier.issnEISSN: 2153-120X
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/26732
dc.language.isoengspa
dc.publisherWorld Scientific and Engineering Academy and Societyspa
dc.relation.citationEndPage1888
dc.relation.citationIssueNo. 13
dc.relation.citationStartPage1881
dc.relation.citationTitleJournal of Modern Physics
dc.relation.citationVolumeVol. 6
dc.relation.ispartofJournal of Modern Physics, ISSN:2153-1196; EISSN: 2153-120X, Vol.6, No.13 (2015); pp. 1881-1888spa
dc.relation.urihttps://www.scirp.org/journal/paperinformation.aspx?paperid=60697spa
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)spa
dc.sourceJournal of Modern Physicsspa
dc.source.instnameinstname:Universidad del Rosario
dc.source.reponamereponame:Repositorio Institucional EdocUR
dc.subject.keywordHeart Ratespa
dc.subject.keywordCardiovascular Diseasesspa
dc.subject.keywordZipf-Mandelbrot Lawspa
dc.subject.keywordComplexity Gradespa
dc.titlePhysical mathematical evaluation of the cardiac dynamic applying the Zipf-Mandelbrot lawspa
dc.title.TranslatedTitleEvaluación física matemática de la dinámica cardíaca aplicando la ley de Zipf-Mandelbrotspa
dc.typearticleeng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículospa
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