Kashuri Fundo Decomposition Method for Solving Michaelis-Menten Nonlinear Biochemical Reaction Model

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dc.contributor.authorPeker, Haldun Alpaslan
dc.contributor.authorCuha, Fatma Aybike
dc.contributor.authorPeker, Bilge
dc.date.accessioned2024-02-23T14:40:49Z
dc.date.available2024-02-23T14:40:49Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractIn most of the real life problems, we encounter with nonlinear differential equations. Problems are made more understandable by modeling them with these equations. In this way, it becomes easier to interpret the problems and reach the results. In 1913, the basic enzymatic reaction model introduced by Michaelis and Menten to describe enzyme processes is an example of nonlinear differential equation. This model is the one of the simplest and best-known approaches of the mechanisms used to model enzyme-catalyzed reactions and is the most studied. For most nonlinear differential equations, it is very difficult to get an analytical solution. For this reason, various studies have been carried out to find approximate solutions to such equations. Among these studies, those in which two different methods are used by blending attract attention. In this study, a blended form of the Kashuri Fundo transform method and the Adomian decomposition method, so-called the Kashuri Fundo decomposition method, is used to find a solution to the Michaelis-Menten nonlinear biochemical reaction model in this way. This method has been applied to the biochemical reaction model and an approximate solution has been obtained for this model without complex calculations. This shows that the hybrid method is an effective, reliable, simpler and time-saving method in reaching the solutions of nonlinear differential equations.en_US
dc.identifier.doi10.46793/match.90-2.315P
dc.identifier.endpage332en_US
dc.identifier.issn0340-6253
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85162030340en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage315en_US
dc.identifier.urihttps://doi.org/10.46793/match.90-2.315P
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16597
dc.identifier.volume90en_US
dc.identifier.wosWOS:001018409600003en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Kragujevac, Fac Scienceen_US
dc.relation.ispartofMatch-Communications In Mathematical And In Computer Chemistryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject[Keyword Not Available]en_US
dc.titleKashuri Fundo Decomposition Method for Solving Michaelis-Menten Nonlinear Biochemical Reaction Modelen_US
dc.typeArticleen_US

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