Publication:
The self-similarity properties and multifractal analysis of DNA sequences

dc.contributor.authorRío Correa, J. L. del
dc.contributor.authorLópez García, Javier
dc.contributor.authorDurán Meza, G.
dc.contributor.departmentCienciases_ES
dc.contributor.departmentZientziakeu
dc.date.accessioned2021-10-18T05:58:30Z
dc.date.available2021-10-18T05:58:30Z
dc.date.issued2019
dc.description.abstractIn this work is presented a pedagogical point of view of multifractal analysis deoxyribonucleic acid (DNA) sequences is presented. The DNA sequences are formed by 4 nucleotides (adenine, cytosine, guanine, and tymine). Following Jeffrey’s paper we associated a simple contractive function to each nucleotide, and constructed the Hutchinson’s operator W, which was used to build covers of different sizes of the unitary square Q, thus Wk (Q) is a cover of Q, conformed by 4k squares Qk of size 2−k, as each Qk corresponds to a unique subsequence of nucleotides with length k: b1b2...bk. Besides, it isobtained the optimal cover Ck to the fractal F generated for each DNA sequence was obtained. We made a multifractal decomposition of Ck in terms of the sets Jα conformed by the Qk’s with the same value of the Holder exponent α, and determined f(α), the Hausdorff dimension of Jα, using the curdling theorem.en
dc.format.extent12 p.
dc.format.mimetypeapplication/pdfen
dc.identifier.issn2444-8656
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/40761
dc.language.isoengen
dc.publisherUP4 Institute of Sciences
dc.relation.ispartofApplied Mathematics and Nonlinear Sciences, 4 (1), 261-272
dc.rights© 2019 G. Durán-Meza et al., published by Sciendo. Creative Commons Attribution 4.0 License.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectMultifractalsen
dc.subjectDNA sequences self-affineen
dc.subjectHutchinson operatoren
dc.subjectHolder exponentsen
dc.titleThe self-similarity properties and multifractal analysis of DNA sequencesen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.type.versionVersión publicada / Argitaratu den bertsioaes
dspace.entity.typePublication
relation.isAuthorOfPublication4a19db31-e7d6-48cc-816a-25659b191953
relation.isAuthorOfPublication.latestForDiscovery4a19db31-e7d6-48cc-816a-25659b191953

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