Matematički modeli kontrole dijabetesa

Zec, Ivana

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master's thesis

Matematički modeli kontrole dijabetesa

Split: University of Split, Faculty of Science, 2023. urn:nbn:hr:166:606802

Zec, Ivana

University of Split
Faculty of Science
Department of Mathematics

Cite this document

APA 6th Edition

Zec, I. (2023). Matematički modeli kontrole dijabetesa (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:606802

MLA 8th Edition

Zec, Ivana. "Matematički modeli kontrole dijabetesa." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:606802

Chicago 17th Edition

Zec, Ivana. "Matematički modeli kontrole dijabetesa." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:606802

Harvard

Zec, I. (2023). 'Matematički modeli kontrole dijabetesa', Master's thesis, University of Split, Faculty of Science, accessed 27 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:606802

Vancouver

Zec I. Matematički modeli kontrole dijabetesa [Master's thesis]. Split: University of Split, Faculty of Science; 2023 [cited 2024 December 27] Available at: https://urn.nsk.hr/urn:nbn:hr:166:606802

IEEE

I. Zec, "Matematički modeli kontrole dijabetesa", Master's thesis, University of Split, Faculty of Science, Split, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:166:606802

Cite this item: https://urn.nsk.hr/urn:nbn:hr:166:606802

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Metadata

Title	Matematički modeli kontrole dijabetesa
Title (english)	Mathematical models for the menagment of diabates
Author	Ivana Zec
Mentor	Andrijana Ćurković (mentor)
Committee member	Andrijana Ćurković (predsjednik povjerenstva)
Committee member	Milica Klaričić Bakula (član povjerenstva)
Committee member	Ana Laštre (član povjerenstva)
Granter	University of Split Faculty of Science (Department of Mathematics) Split
Defense date and country	2023-09-29, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics
Abstract	Ovaj rad proučava matematičke modele kontrole dijabetesa koji su dani sustavom običnih diferencijalnih jednadžbi, a razmatraju različitu problematiku kontrole dijabetesa. Opisana je ideja modela koji su kroz povijest donijeli neku novinu u matematičkom pogledu. Detaljnije je prezentiran matematički model dijabetesa tipa 1 koji proučava međusobnu interakciju koncentracije inzulina, koncentracije glukoze i koncentracije hormona rasta kod pojedinca, a čiji su parametri određeni eksperimentalno na grupi miševa. Glavni dio rada egzaktno rješava linearni populacijski model gdje promatramo broj osoba s dijabetesom u odnosu na broj osoba s njegovim komplikacijama. Posebno je razmatran dugoročni utjecaj stope razvoja komplikacija na rješenje modela. Rješenja ovog modela su isto tako prikazana grafički.
Abstract (english)	This graduation thesis studies the mathematical models of diabetes control given by the system of ordinary differential equations and considers various issues of diabetes control. The ideas of models that have brought something new in mathematical terms throughout history are described. More extensively a mathematical model of type 1 diabetes is presented that considers the mutual interaction of insulin concentration, glucose concentration and growth hormone concentration in an individual, and whose parameters were determined experimentally in a group of mice. The main part of the work solves the linear population model, where we observe the number of people with diabetes in relation to the number of people with its complications. In particular, the long-term influence of the complication development rate on the model solution is considered. The solutions of this model are also presented graphically.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:166:606802
Study programme	Title: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing Course: major in statistics and computing Study programme type: university Study level: graduate Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Access restricted to authenticated users
Terms of use
Repository	Repository of Faculty of Science
Created on	2023-10-03 12:41:01