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master's thesis
Krivulje ponovnog rasta tumora
2022. urn:nbn:hr:126:467885
Marmeggi, Silvana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Cite this document

Marmeggi, S. (2022). Krivulje ponovnog rasta tumora (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:467885

Marmeggi, Silvana. "Krivulje ponovnog rasta tumora." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:467885

Marmeggi, Silvana. "Krivulje ponovnog rasta tumora." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:467885

Marmeggi, S. (2022). 'Krivulje ponovnog rasta tumora', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 28 March 2023, https://urn.nsk.hr/urn:nbn:hr:126:467885

Marmeggi S. Krivulje ponovnog rasta tumora [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2023 March 28] Available at: https://urn.nsk.hr/urn:nbn:hr:126:467885

S. Marmeggi, "Krivulje ponovnog rasta tumora", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:467885

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Metadata
TitleKrivulje ponovnog rasta tumora
Title (english)Tumor Regrowth Curves
AuthorSilvana Marmeggi
MentorIvan Papić (mentor)
Committee memberNenad Šuvak (predsjednik povjerenstva)
Committee memberDanijel Grahovac (član povjerenstva)
Committee memberIvan Papić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu predstavljene su krivulje ponovnog rasta tumora koje se koriste za opisivanje tumora tretiranih zračenjem ili nekim lijekom. U prvom su poglavlju definirane klasične krivulje rasta, kojima modeliramo monotoni rast tumora: logistička, Gompertzova, Von Bertalanffyjeva krivulja te krivulja koja ih objedinjuje - Richardsova krivulja. Zatim su definirane različite krivulje preživljenja. U drugom poglavlju predstavljamo tri različite krivulje ponovnog rasta i njihova moguća proširenja na modele mješovitih efekata te navodimo neke primjene ovih krivulja. U posljednjem poglavlju navodimo neke mjere ishoda tretmana i objašnjavamo prikladne statističke testove.
Abstract (english)
In this thesis we present tumor regrowth curves which are used to describe the growth of tumors that are treated with radiation or with some kind of drug. In the first chapter, we define classical growth curves which are used to model monotone growth of tumors: the logistic, the Gompertz and the Von Bertalanffy curve, and the curve that unifies them all - the Richards curve. After that, we define different survival curves. In the second chapter, we present three different tumor regrowth curves and their possible extensions to mixed effects models. We list some applications of these curves. In the last chapter, we list some treatment endpoints and explain the appropriate statistical tests.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:467885
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-09-29 06:13:56