BIOCONVECTIVE PERCOLATION ON AN INCOMPLETE VORONOI GRID

Bioconvection is a fluid instability common to many biological organis ms including swimming bacteria, alga and protozoa The statistics of bi oconvective pattern formation is tested against percolation models for space-filling. A percolation threshold is found (p = 0.63) and compar ed to theoretical point distributions for random tesselations. Simulat ions reveal that a percolation backbone defines a complete path across the observation window but remains incomplete as an equal partitionin g grid (Voronoi diagram). The generic development of incomplete Vorono i grids and their yet unknown statistical properties captures some int erest as an alternative to traditional point-based lattices.