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DY: Fachverband Dynamik und Statistische Physik

DY 83: Pattern Formation II

DY 83.4: Vortrag

Freitag, 16. März 2018, 10:45–11:00, BH-N 333

Structuring of the epithelial tissue — •Jakov Lovrić¹, Michael A. Klatt², Sara Kaliman³, Gerd E. Schröder-Turk^4,5, and Ana-Sunčana Smith³ — ¹Division of Physical Chemistry, Ruđer Bošković Institute, Zagreb, Croatia — ²Karlsruhe Institute of Technology (KIT), Institute of Stochastics, Karlsruhe, Germany — ³PULS Group, Institut für Teoretische Physik and EAM Cluster of Exellence, FAU Erlangen-Nürnberg, Erlangen, Germany — ⁴Institut für Teoretische Physik, FAU Erlangen-Nürnberg, Erlangen, Germany — ⁵Murdoch University, School of Engineering and IT, Murdoch, Australia

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.