Abstract
Despite the fact that the representation of epithelium as a tessellation of a plane into polygons has existed for several centuries, it is still not clear exactly how cellular geometry affects the transformation from plane epithelial monolayers into structures with complex geometry. In this work we study the topological characteristics of cell packing depending on the shape of the epithelium. More than 50 micrographs of plane and spherical epithelium were analyzed. The average topological defectiveness of flat and spherical monolayers is compared. The obtained distributions of cells according to the number of their neighbors demonstrate a previously unknown difference between spherical and planar cases. Topological defects in the packing of these cells are also analyzed in the work. In contrast to more ordered abiotic packings, it is impossible to distinguish linear topological defects in the form of scars or pleats in the spherical monolayers of investigates cells.
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