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master's thesis
Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:367683
Šiller Lovrić, Jakov
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Šiller Lovrić, J. (2016). Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:367683

Šiller Lovrić, Jakov. "Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:367683

Šiller Lovrić, Jakov. "Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:367683

Šiller Lovrić, J. (2016). 'Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:367683

Šiller Lovrić J. Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:367683

J. Šiller Lovrić, "Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:367683

Metadata
TitleStatistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva
AuthorJakov Šiller Lovrić
MentorPavle Goldstein (mentor)
Committee memberPavle Goldstein (predsjednik povjerenstva)
Committee memberMiljenko Marušić (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Poznavanje rasta i strukture epitelnog tkiva iznimno je važno radi istraživanja brojnih procesa kao što su zacjeljivanje rana i progresija tumora. U ovom diplomskom radu predstavljamo matematički model za epitelna tkiva i ispitujemo brojna svojstva spomenutog modela sistematičnim proučavanjem slučajnih pakiranja elipsa. Reproduciramo i proširujemo otprije poznate rezultate o slučajnim pakiranjima elipsa pomoću distribucija odabranih morfoloških mjera Voronojevih ćelija generiranih tim elipsama. Na kraju uspoređujemo epitelno stanično tkivo i slučajno pakiranje njegovih jezgara preko distribucija morfoloških mjera.
Abstract (english)
Understanding the structure and growth process of epithelial tissue is of great importance for analysis of various phenomena such as wound healing and cancer progression. In this thesis we introduce a mathematical model for epithelial tissue and we analyse many of its properties. We reproduce and expand known results about random packings of the ellipses by studying the distributions of chosen morphological measures of Voronoi cells generated by packed ellipses. In the end we compare the epithelial tissue to the random packing of its nuclei by comparing the distributions of morphological measures.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:367683
Study programmeTitle: Mathematical Statistics
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 on2019-02-13 11:34:31