title: Statistical topology of cellular networks in two and three dimensions.
abstract: Cellular networks may be found in a variety of natural contexts, from soap foams to biological tissues to grain boundaries in a polycrystal, and the characterization of these structures is therefore a subject of interest to a range of disciplines. An approach to describe the topology of a cellular network in two and three dimensions is presented. This allows for the quantification of a variety of features of the cellular network, including a quantification of topological disorder and a robust measure of the statistical similarity or difference of a set of structures. The results of this analysis are presented for numerous simulated systems including the Poisson-Voronoi and the steady-state grain growth structures in two and three dimensions.
authors.affiliation: Lawrence Livermore National Laboratory, Livermore, California 94550, USA. mason47@llnl.gov
authors.forename: J K
authors.initials: JK
authors.lastname: Mason
authors.forename: E A
authors.initials: EA
authors.lastname: Lazar
authors.forename: R D
authors.initials: RD
authors.lastname: MacPherson
authors.forename: D J
authors.initials: DJ
authors.lastname: Srolovitz
mesh_terms: D002468:Cell Physiological Phenomena; D003198:Computer Simulation; D003460:Crystallization / Q000379:methods*; D008954:Models, Biological; D008956:Models, Chemical; D015233:Models, Statistical; D053758:Nanoparticles / Q000737:chemistry* / Q000648:ultrastructure*