Modeling tumor growth using fractal calculus: Insights into tumor dynamics

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dc.authorid0000-0002-0101-2738
dc.contributor.authorGolmankhaneh, Amirreza Khalili
dc.contributor.authorTunç, Sümeyye
dc.contributor.authorSchlichtinger, Agnieszka Matylda
dc.contributor.authorAsanza, Dachel Martinez
dc.contributor.authorGolmankhaneh, Alireza Khalili
dc.date.accessioned2023-11-24T06:19:35Z
dc.date.available2023-11-24T06:19:35Z
dc.date.issued2024
dc.departmentİstanbul Medipol Üniversitesi, İMÜ Meslek Yüksekokulu, Fizyoterapi Ana Bilim Dalı
dc.description.abstractImportant concepts like fractal calculus and fractal analysis, the sum of squared residuals, and Aikaike's information criterion must be thoroughly understood in order to correctly fit cancer-related data using the proposed models. The fractal growth models employed in this work are classified in three main categories: Sigmoidal growth models (Logistic, Gompertz, and Richards models), Power Law growth model, and Exponential growth models (Exponential and Exponential-Lineal models)”. We fitted the data, computed the sum of squared residuals, and determined Aikaike's information criteria using Matlab and the web tool WebPlotDigitizer. In addition, the research investigates “double-size cancer” in the fractal temporal dimension with respect to various mathematical models.
dc.identifier.citationGolmankhaneh, A. K., Tunç, S., Schlichtinger, A. M., Asanza, D. M. ve Golmankhaneh, A. K. (2024). Modeling tumor growth using fractal calculus: Insights into tumor dynamics. BioSystems, 235. https://dx.doi.org/10.1016/j.biosystems.2023.105071
dc.identifier.doi10.1016/j.biosystems.2023.105071
dc.identifier.issn0303-2647
dc.identifier.issn1872-8324
dc.identifier.pmid37944632
dc.identifier.scopus2-s2.0-85176777205
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://dx.doi.org/10.1016/j.biosystems.2023.105071
dc.identifier.urihttps://hdl.handle.net/20.500.12511/11869
dc.identifier.volume235
dc.identifier.wos001113572800001en_US
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.institutionauthorTunç, Sümeyye
dc.language.isoen
dc.publisherElsevier Ireland Ltd
dc.relation.ispartofBioSystemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectFractal Analysis
dc.subjectFractal Calculus
dc.subjectFractal Cancer Growth Models
dc.subjectFractal Gompertz Growth Model
dc.subjectFractal Richards Growth Model
dc.subjectFractal Temporal
dc.titleModeling tumor growth using fractal calculus: Insights into tumor dynamics
dc.typeArticle

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