title: Consumption, supply and transport:  self-organization without direct communication.
abstract: Swimming bacteria of the species Bacillus subtilis require and consume oxygen. In static liquid cultures the cells' swimming behaviour leads them to accumulate up oxygen concentration gradients generated by consumption and supply. Since the density of bacterial cells exceeds that of the fluid in which they live, fluid regions where cells have accumulated are denser than depleted regions. These density variations cause convection. The fluid motion is dynamically maintained by the swimming of the cells toward regions of attraction: the air-fluid interface and the fluctuating advecting attractors, gradients of oxygen concentration that are embedded in the convecting fluid. Because of the fluid dynamical conservation laws, these complex physical and biological factors generate patterns ordered over distances > 10000 bacterial cell diameters. The convection enhances long-range transport and mixing of oxygen, cells and extracellular products by orders of magnitude. Thus, through the interplay of physical and biological factors, a population of undifferentiated selfish cells creates functional dynamic patterns. Populations of bacteria that have organised themselves into regularly patterned regions of vigorous convection and varying cell concentration interact with their environment as if they were one purposeful, coherent multicellular individual. The mathematical and experimental ingredients of these remarkable phenomena are presented here.
authors.affiliation: Physics Department, University of Arizona, Tucson 85721, USA. kessler@galileo.physics.arizona.edu
authors.forename: J O
authors.initials: JO
authors.lastname: Kessler
mesh_terms: D001412:Bacillus subtilis / Q000502:physiology*; D055592:Biophysical Phenomena; D001703:Biophysics; D018481:Convection; D006112:Gravitation; D008124:Locomotion / Q000502:physiology*; D008433:Mathematics; D008954:Models, Biological; D010101:Oxygen Consumption / Q000502:physiology*