The Impact of Fractional Differentiation in Terms of Fitting for a Prostate Cancer Model Under Intermittent Androgen Suppression Therapy

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dc.contributor.authorMizrak, O.O.
dc.contributor.authorMizrak, C.
dc.contributor.authorKashkynbayev, A.
dc.contributor.authorKuang, Y.
dc.date.accessioned2024-09-29T16:21:14Z
dc.date.available2024-09-29T16:21:14Z
dc.date.issued2020
dc.departmentKarabük Üniversitesien_US
dc.description.abstractActually, the main motivation for the contents of this chapter is to introduce fractional calculus as a prospective mathematical tool for cancer dynamics, in particular prostate cancer modeling. In this context, firstly, our main problem on the controversial role of androgens for prostate cancer development is handled, and according to our hypothesis a new mathematical model consisting of conventional logistic growth phenomena is constructed versus another prospective model based on ecological phenomena, cell quota. Then, we compare these two models demonstrating the mean squared error (MSE) values for androgen and prostate-specific antigen (PSA) for the first 1.5 cycles of intermittent androgen suppression (IAS) therapy administered to 62 selected patients from Vancouver Prostate Center (Vancouver, BC, Canada). To reduce MSE values, we also generate the fractional version of the model and verify that fractional differentiation provides nearly better data fitting for mathematical modeling. Moreover, with a discussion part, which hints for future works should be taken into account are pointed out. © Springer Nature Singapore Pte Ltd 2020.en_US
dc.description.sponsorshipScientific and Research Council of Turkey; Ankara Universitesi, (17L0430006)en_US
dc.identifier.doi10.1007/978-981-15-2286-4_5
dc.identifier.endpage197en_US
dc.identifier.issn2364-6748
dc.identifier.scopus2-s2.0-85080936775en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage151en_US
dc.identifier.urihttps://doi.org/10.1007/978-981-15-2286-4_5
dc.identifier.urihttps://hdl.handle.net/20.500.14619/9637
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofForum for Interdisciplinary Mathematicsen_US
dc.relation.publicationcategoryKitap Bölümü - Uluslararasıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAndrogenen_US
dc.subjectCell quotaen_US
dc.subjectData fittingen_US
dc.subjectFractional calculusen_US
dc.subjectIntermittent androgen suppression therapyen_US
dc.subjectLogistic growthen_US
dc.subjectMean squared erroren_US
dc.subjectProstate cancer modelingen_US
dc.subjectProstate-specific antigenen_US
dc.titleThe Impact of Fractional Differentiation in Terms of Fitting for a Prostate Cancer Model Under Intermittent Androgen Suppression Therapyen_US
dc.typeBook Parten_US

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