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dc.creatorVosika, Zoran B.
dc.creatorMitić, Vojislav V.
dc.creatorVasić, Aleksandar
dc.creatorLazović, Goran
dc.creatorMatija, Lidija
dc.creatorKocić, Ljubiša
dc.date.accessioned2018-12-18T23:40:22Z
dc.date.available2018-08-31
dc.date.issued2017
dc.identifier.issn1007-5704
dc.identifier.urihttps://dais.sanu.ac.rs/123456789/4613
dc.description.abstractIn this paper, Caputo based Michaelis–Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis–Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.en
dc.languageen
dc.publisherElsevier
dc.rightsembargoedAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceCommunications in Nonlinear Science and Numerical Simulationen
dc.subjectkinetics
dc.subjectdiscrete fractional calculus
dc.subjectnonlinear systems
dc.titleMultistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kineticsen
dc.typearticle
dc.rights.licenseBY-NC-ND
dcterms.abstractМитић, Војислав В.; Васић, Aлександар Н.; Лазовић, Горан; Матија, Лидија; Коцић, Љубиша; Восика, Зоран;
dc.citation.spage373
dc.citation.epage389
dc.citation.volume44
dc.identifier.wos000386744400031
dc.identifier.doi10.1016/j.cnsns.2016.08.024
dc.identifier.scopus2-s2.0-84986550432
dc.description.otherThis is the peer-reviewed version of the article: Vosika, Z., Mitić, V.V., Vasić, A., Lazović, G., Matija, L., Kocić, L.M., 2017. Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. Communications in Nonlinear Science and Numerical Simulation 44, 373–389. [https://doi.org/10.1016/j.cnsns.2016.08.024]
dc.type.versionacceptedVersion
dc.identifier.fulltexthttps://dais.sanu.ac.rs/bitstream/id/14406/10.1016@j.cnsns.2016.08.024.pdf
dc.identifier.rcubhttps://hdl.handle.net/21.15107/rcub_dais_4613


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