A brief review of Aboav's law (the relationship between the average number of edges of a
randomly chosen neighboring cell of a typical n-cell and n) and Lewis' law (the relationship …

This paper systematically investigates spatially autocorrelated patterns and the behaviour of
their associated test statistic Moran's I in three bounded regular tessellations. These regular …

The packing of uniform fine spherical particles ranging from 1 to 1000 μm has been
simulated by means of discrete particle simulation. The packing structure is analyzed …

Despite recent efforts to understand homeostasis in epithelial tissues, there are many
unknowns surrounding this steady state. It is considered to be regulated by …

D'Arcy Thompson emphasised the importance of surface tension as a potential driving force
in establishing cell shape and topology within tissues. Leaf epidermal pavement cells grow …

I Motile Dynamics at the Cellular Level-Cytoplasmic Motion and Cell Shape-.-I. 1 Embryonic
Mesoderm Cells and Larval Keratocytes from Xenopus: Structure and Motility of Single …

Bénard-Marangoni convection displays a two-dimensional (2D) hexagonal pattern. A
topological analysis of these structures is presented. We describe the elementary …

We investigate the statistical properties of two-dimensional random cellular systems (froths)
in terms of their shell structure. The froth is analyzed as a system of concentric layers of cells …

Random tilings or packings in the plane are characterized by a size distribution of individual
elements (domains) and by the statistics of neighbor relations between the domains. Most …

This review addresses recent progress in the analysis and modelling of disordered cell
structures. It focuses on planar systems, for which most research has been performed. The …