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undergraduate thesis
Modeliranje kemijskih reakcija
Zagreb: University of Zagreb, Faculty of Chemical Engineering and Technology, 2019. urn:nbn:hr:149:145600
Dular, Relja Ivan
University of Zagreb
Faculty of Chemical Engineering and Technology

Institutional repository: Repository of Faculty of Chemical Engineering and Technology University of Zagreb

Cite this document

Dular, R. I. (2019). Modeliranje kemijskih reakcija (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Chemical Engineering and Technology. Retrieved from https://urn.nsk.hr/urn:nbn:hr:149:145600

Dular, Relja Ivan. "Modeliranje kemijskih reakcija." Undergraduate thesis, University of Zagreb, Faculty of Chemical Engineering and Technology, 2019. https://urn.nsk.hr/urn:nbn:hr:149:145600

Dular, Relja Ivan. "Modeliranje kemijskih reakcija." Undergraduate thesis, University of Zagreb, Faculty of Chemical Engineering and Technology, 2019. https://urn.nsk.hr/urn:nbn:hr:149:145600

Dular, R. I. (2019). 'Modeliranje kemijskih reakcija', Undergraduate thesis, University of Zagreb, Faculty of Chemical Engineering and Technology, accessed 29 November 2024, https://urn.nsk.hr/urn:nbn:hr:149:145600

Dular RI. Modeliranje kemijskih reakcija [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Chemical Engineering and Technology; 2019 [cited 2024 November 29] Available at: https://urn.nsk.hr/urn:nbn:hr:149:145600

R. I. Dular, "Modeliranje kemijskih reakcija", Undergraduate thesis, University of Zagreb, Faculty of Chemical Engineering and Technology, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:149:145600

Metadata
TitleModeliranje kemijskih reakcija
Title (english)Modelling chemical reactions
AuthorRelja Ivan Dular
MentorIvica Gusić (mentor)
Committee memberIvica Gusić (predsjednik povjerenstva)
Committee memberMiroslav Jerković (član povjerenstva)
Committee memberPetar Kassal (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Chemical Engineering and Technology
Zagreb
Defense date and country2019-09-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Opisan je matematički model za kinetiku kemijskih reakcija. Model je primijenjen na jednostavne enzimske reakcije pri kojima supstrat uz pomoć enzima kao katalizatora prelazi u produkt, poznat kao Michaelis-Menteničin model. Zasnivanje modela temelji se na brzini kemijske reakcije i analizi brzine promjene koncentracije tvari koji sudjeluju u reakciji. Matematički gledano to je sustav od četiri obične diferencijalne jednadžbe. Sustav je nelinearan pa nije izgledno njegovo egzaktno rješavanje. Zato se u ovoj radnji rješenje provodi numerički. Koristi se programski paket MATLAB te analizira ovisnost modela o izboru parametra i utjecaj početnih uvjeta. Rezultati su prikazani grafički tako da krivulje pokazuju promjenu koncentracije pojedinih tvari u vremenu. Zaključuje se da su rezultati modela u skladu s uobičajenim fenomenima enzimskih reakcija.
Abstract (english)
Here is described a mathematical model for kinetics of chemical reactions. The model is applied to simple enzyme reactions that require the use of enzymes as catalysts for converting a substrate into a product, known as Michaelis-Menten model. The design of the model is based on the chemical reaction rate and the analysis of the rate of change of concentration of the substances involved in the reaction. Mathematically, it is a system of four ordinary differential equations. The system is not linear, so its exact solution is not plausible. Therefore, in this final thesis the solution is implemented numerically. The MATLAB software is used to analyze the model's dependence on parameter selection and the impact of initial conditions. The results are presented graphically, so that the curves indicate the change in the concentration of individual substances over time. It is concluded that the model results are consistent with the common phenomena of enzymatic reactions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:149:145600
Study programmeTitle: Applied Chemistry - Undergraduate study; specializations in: Environmental chemistry and green technologies, Advanced materials and technologies, Applied organic chemistry
Course: Applied organic chemistry
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) primijenjene kemije (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) primijenjene kemije)
Type of resourceText
File originBorn digital
Access conditionsClosed access
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Created on2023-02-14 11:33:44