A Fractional Modeling of Tumor-Immune System Interaction Related to Lung Cancer with Real Data

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dc.contributor.authorOzkose, Fatma
dc.contributor.authorYilmaz, Secil
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorOzturk, Ilhan
dc.contributor.authorSenel, M. Tamer
dc.contributor.authorBagci, Burcu Sen
dc.contributor.authorDogan, Medine
dc.date.accessioned2024-02-23T14:26:25Z
dc.date.available2024-02-23T14:26:25Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractIn this study, we investigate a new fractional-order mathematical model which considers population dynamics among tumor cells-macrophage cells-active macrophage cells, and host cells involving the Caputo fractional derivative. Firstly, the stability of the positive steady state of the model is studied. Subsequently, the conditions for existence and uniqueness of the solutions are examined. Then, the least squares curve fitting method (LSCFM) which is one of the prominent methods for parameter estimation is used to fit the parameters of the model. It is aimed to fit the relevant parameters with the help of the tumor tissue samples which were collected from the patient with non-small cell lung cancer who had chemotherapy-naive hospitalized at Kayseri Erciyes University hospital in Turkey. A total of 12 parameters in the model are estimated using the data of lung tumor cells of this patient for 14 days. Moreover, the numerical simulations are given by considering the different fractional orders and different parameters for the model. So, it is achieved how the change in a affects the dynamic behavior of the system. In the sequel, to point out the advantages of the fractional-order modeling, the memory trace and hereditary traits are taken into consideration. Finally, the interpretations in terms of biological science are provided in conclusion. We believe that this interdisciplinary study will open new doors for other similar studies and will shed light on the studies to be developed on the use of real data in the mathematical modeling of cancer.en_US
dc.description.sponsorshipResearch Fund of the Erciyes University [FDS-2021-11059]; TUBITAK(The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipThis study was supported by Research Fund of the Erciyes University. Project Number: FDS-2021-11059. M. Yavuzwas supported by TUBITAK(The Scientific and Technological Research Council of Turkey).The authors are very much thankful to the reviewers and editor for their valuable suggestions that have improved the quality of the manuscript.en_US
dc.identifier.doi10.1140/epjp/s13360-021-n22544-6
dc.identifier.issn2190-5444
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1140/epjp/s13360-021-n22544-6
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14166
dc.identifier.volume137en_US
dc.identifier.wosWOS:000732429300001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofEuropean Physical Journal Plusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject[Keyword Not Available]en_US
dc.titleA Fractional Modeling of Tumor-Immune System Interaction Related to Lung Cancer with Real Dataen_US
dc.typeArticleen_US

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