Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva

Šiller Lovrić, Jakov (2016) Statistička analiza strukture Voronojevih ćelija generiranih slučajno pakiranim elipsama i primjena na stanična tkiva. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

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.

Item Type: Thesis (Diploma thesis)
Supervisor: Goldstein, Pavle
Date: 2016
Number of Pages: 56
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 26 Aug 2016 08:29
Last Modified: 26 Aug 2016 08:29
URI: http://digre.pmf.unizg.hr/id/eprint/4999

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