Crossover behaviors via piecewise concept: A model of tumor growth and its response to radiotherapy

dc.authoridIGRET ARAZ, SEDA/0000-0002-7698-0709
dc.contributor.authorArik, Irem Akbulut
dc.contributor.authorAraz, Seda Igret
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThis study aims to combine 3 different models, which take into account the pre-treatment, during the treatment and post-treatment processes of the tumor growth, with the piecewise derivative, and to consider these processes as a whole thanks to this new concept. This concept leads us to analyze and predict the process from the beginning to the end of the tumor, as it offers the possibility to observe many behaviors from crossover to stochastic processes. Moreover, the piecewise differential operators, which can be constructed with operators such as classical, Caputo, Caputo-Fabrizio, Atangana-Baleanu and stochastic derivative, have opened new doors to readers in different disciplines and enable them to capture different behaviors in different time intervals. Thus, researchers can achieve successful results in capturing reality by applying these operators to real-world problems.
dc.identifier.doi10.1016/j.rinp.2022.105894
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85137104978
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.105894
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6731
dc.identifier.volume41
dc.identifier.wosWOS:000859195700003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectPiecewise calculus
dc.subjectCrossover behaviors
dc.subjectTumor growth
dc.subjectRadiotherapy
dc.titleCrossover behaviors via piecewise concept: A model of tumor growth and its response to radiotherapy
dc.typeArticle

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