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dc.creatorVosika, Zoran B.
dc.creatorMitić, Vojislav V.
dc.creatorVasić, Aleksandar N.
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.urihttp://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.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.fulltexthttp://dais.sanu.ac.rs/bitstream/id/14406/10.1016@j.cnsns.2016.08.024.pdf


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