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

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.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

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

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.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

Diamond-doped silica aerogel for solar geoengineering

Even though aerosol injection into stratosphere is one of the most promising solar geoengineering techniques, sulfate aerosols, which are suggested for such an application, show significant drawbacks such as infra-red (IR) absorption and ozone degradation. The development of new materials for such application that would exhibit substantial up-scattering, with non-IR absorption to allow a cooling effect are needed. Here, a novel composite material comprised of diamonds dispersed in a silica aerogel network is investigated and compared to pure silica aerogel. Silica aerogels are ultralight, highly porous, transparent and can host particles, while fulfilling particle size limitation in terms of potential health risks for humans during respiration. Morphology of both the diamonds and the silica aerogels composites has been studied. The diffuse reflectance of the diamond powders, pure silica aerogels, and the diamond-doped silica aerogels have been measured for comparison. Our experimental work assesses the proposed concept of materials, including discussion and recommendations for the improvements of the synthetized materials. The obtained results are promising and could stimulate further in-depth studies in similar materials with a potential for applications in solar geoengineering

Effect of sodium bicarbonate solution on methyltrimethoxysilane-derived silica aerogels dried at ambient pressure

Here we present an economical ambient pressure drying method of preparing monolithic silica aerogels from methyltrimethoxysilane precursor while using sodium bicarbonate solution as the exchanging solvent. We prepared silica aerogels with a density and a specific surface area of 0.053 g·cm−3 and 423 m2·g−1, respectively. The average pore diameter of silica aerogels is 23 nm as the pore specific volume is 1.11 cm3·g−1. Further, the contact angle between water droplet and the surface of silica aerogels in specific condition can be as high as 166°, which indicates a super-hydrophobic surface of aerogels