Naslov
Structuring of the epithelial tissue

Autori
Lovrić, Jakov ; Klatt, Michael ; Kaliman, Sara ; Schröder-Turk, Gerd ; Smith, Ana-Sunčana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
DPG-Frühjahrstagung und EPS-CMD27 / - , 2018, 1-1

Skup
DPG-Frühjahrstagung und EPS-CMD27

Mjesto i datum
Berlin, Njemačka, 11.03.2018. - 16.03.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Lloyds algorithm ; optimization ; hyperuniform ; tissue modeling

Sažetak
Structural properties of space tessellations are important to understand various problems in many fields of science and industry. One of the existing questions is how to tessellate space with the maximized centrality of the cells, usually known as Quantizer problem. Here we study stable solutions of Quantizer problem by applying Lloyd's algorithm on various disordered random point processes. We find that Lloyd's algorithm converges to a universal amorphous structure with a long-range order. Furthermore, we investigate the role of cell centrality in the epithelium tissue. First we find that the tissue can be represented by the tessellation based on the nuclear shape of constituting cells. In the following we explore the interplay between finite size effects and the Lloyd minimisation and find that during the epithelial tissue development, centrality as a concept may play a role and is tightly controlled by the activity of the cell.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika, Interdisciplinarne prirodne znanosti

POVEZANOST RADA