A comparative study for mathematical modelling of the contest of CAR-T and tumour cells in solid cancers using fractional- and integer-order derivatives

dc.authoridKumar, Pushpendra/0000-0002-7755-2837
dc.authorscopusid57217132593
dc.authorscopusid16303495600
dc.authorwosidERTURK, Vedat Suat/ABD-4512-2021
dc.authorwosidKumar, Pushpendra/AAA-1223-2021
dc.contributor.authorKumar, Pushpendra
dc.contributor.authorErturk, Vedat Suat
dc.date.accessioned2024-09-11T07:40:18Z
dc.date.available2024-09-11T07:40:18Z
dc.date.issued2024
dc.departmentOkan Universityen_US
dc.department-temp[Kumar, Pushpendra] Istanbul Okan Univ, Fac Engn & Nat Sci, Istanbul, Turkiye; [Kumar, Pushpendra] Near East Univ, Math Res Ctr, Dept Math, TRNC, Mersin 10, Nicosia, Turkiye; [Erturk, Vedat Suat] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55200 Samsun, Turkiyeen_US
dc.descriptionKumar, Pushpendra/0000-0002-7755-2837en_US
dc.description.abstractCancer is a disease resulting from the fractious growth and division of abnormal cells and has gotten consistent and dedicated attention from scientists across multiple disciplines. To date, several mathematical studies have been done to study its dynamics. In this paper, we study two fractional-order mathematical models that describe the competition between CAR-T and tumour cells in terms of their immune-suppressive efficiency. We explore whether the use of a large number of CAR-T cells encountering the antigens of solid tumours could beat the immune-suppressive force of cancer. Our results are obtained through the implementation of the well-known Caputo fractional derivative as well as the Adams-Bashforth-Moulton scheme. The main aim of this study is to compare the results we obtained through the use of fractional derivatives with previously published integer-order simulations. Of interest are the instances when the results obtained via the fractional-order derivative contradict the solutions provided by the integer-order models.en_US
dc.description.woscitationindexEmerging Sources Citation Index
dc.identifier.citation0
dc.identifier.doi10.1007/s41478-024-00791-8
dc.identifier.issn0971-3611
dc.identifier.issn2367-2501
dc.identifier.scopus2-s2.0-85194181384
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s41478-024-00791-8
dc.identifier.urihttps://hdl.handle.net/20.500.14517/6191
dc.identifier.wosWOS:001235759900001
dc.language.isoen
dc.publisherSpringernatureen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCAR-T cellsen_US
dc.subjectSolid tumoursen_US
dc.subjectFractional mathematical modelen_US
dc.subjectNumerical schemeen_US
dc.subjectCaputo fractional derivativeen_US
dc.titleA comparative study for mathematical modelling of the contest of CAR-T and tumour cells in solid cancers using fractional- and integer-order derivativesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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