BPCPPDYSOE21 – scientific programme

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BP: Fachverband Biologische Physik

BP 24: Poster B: Active Biological Matter, Cell Mechanics, Systems Biology, Computational Biophysics, etc.

BP 24.44: Poster

Tuesday, March 23, 2021, 16:00–18:30, BPp

Structuring of the epithelial tissue — •Jakov Lovrić^1,3, Michael A. Klatt², Sara Kaliman³, Gerd E. Schröder-Turk⁴, and Ana-Sunčana Smith^1,3 — ¹Division of Physical Chemistry, Ruder Bošković Institute, Zagreb, Croatia — ²Department of Physics, Princeton University, Princeton, New Jersey 08544, USA — ³PULS Group, Institute for Theoretical Physics, Interdisciplinary Center for Nanostructured Films,Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany — ⁴Murdoch University, College of Science, Health, Engineering and Education, 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 the Quantizer problem. Here we study stable solutions of the 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 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 minimization 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.